Physics-
General
Easy
Question
Consider a thin square sheet of side
and thickness
made of a material of resistivity
The resistance between two opposite faces, shown by the shaded areas in the figure is
![](data:image/png;base64,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)
- Directly proportional to
- Directly proportional to
- Independent of
- Independent of
The correct answer is: Independent of ![L](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAANCAYAAACQN/8FAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAFZJREFUeNpjYMAE34CYiYEAUAHiSwxEgAAgXk6MwnogLidG4SqoqQTBLSCWJqQI5NMvxJhmDsT7iVEYCcTziVE4CYgTiVG4Dog9iFH4Doj/48BsDMQCAHlSEYZSh/nGAAAASXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5MPC9taT48L21hdGg+Bs5jnAAAAABJRU5ErkJggg==)
![R equals fraction numerator rho open parentheses L close parentheses over denominator A end fraction equals fraction numerator rho L over denominator t L end fraction equals fraction numerator rho over denominator t end fraction](data:image/png;base64,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)
is independent of ![L.](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA8AAAANCAYAAAB2HjRBAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAFtJREFUeNpjYMAE34CYiYEMoALElxjIBAFAvJxczfVAXE6u5lVQ28kCt4BYmhyNoBD+Qq6t5kC8n1zNkUA8n1zNk4A4kVzN64DYgwh1/6EYBbxDkkDHbIQ0kwwAuK8VgmBkwj8AAABTdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPkw8L21pPjxtbz4uPC9tbz48L21hdGg+MSAMLgAAAABJRU5ErkJggg==)
Hence the correct option is (c).
Related Questions to study
physics-
The time taken by a block of wood (initially at rest)to slide down a smooth inclined plane
long (angle of inclination is
) is
![](data:image/png;base64,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)
The time taken by a block of wood (initially at rest)to slide down a smooth inclined plane
long (angle of inclination is
) is
![](data:image/png;base64,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)
physics-General
Physics-
A particle starts from rest. Its acceleration
versus time
is as shown in the figure. The maximum speed of the particle will be
![](data:image/png;base64,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)
A particle starts from rest. Its acceleration
versus time
is as shown in the figure. The maximum speed of the particle will be
![](data:image/png;base64,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)
Physics-General
physics-
graph for a particle is as shown. The distance travelled in the first
is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAATsAAACzCAMAAADBlkv0AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf///7Ozs7a2tunp6aysrObm5vT09LW1tdjY2PPz8319fXt7e+Dg4J6ennp6evb29vv7+76+vmJiYqqqqvz8/HR0dHJycu/v793d3dzc3NfX10BAQK2traCgoFdXV/7+/qWlpYWFhbCwsOzs7Dg4OJOTk+Pj42NjY+rq6kRERHV1dcjIyJGRkbm5uaKiolhYWN7e3h8fH9HR0aioqFJSUlVVVcnJyfn5+ZiYmFNTU9/f325ubnh4ePHx8Y2NjZycnPDw8E9PT5mZmYiIiCkpKeTk5J2dnQQEBI6OjgAAAP39/WlpaTIyMoeHhxISErGxscDAwBQUFH9/f8bGxszMzO7u7jQ0NK6urkFBQc/Pz729vR0dHbS0tPLy8srKyiEhIfj4+F9fX8PDw/X19VBQUPr6+jY2Nru7uxsbG5aWlgICAs7Ozj8/P4mJie3t7RAQEFZWVtra2vf3905OTllZWTw8PAEBAUJCQnd3dxkZGZCQkMTExA8PD4aGhhoaGsHBwQ0NDZubm0pKSiQkJNbW1sfHxw4ODn5+foCAgAcHB7KyssXFxYSEhB4eHrq6uuHh4cvLyzo6OuXl5QoKCoKCgtTU1Ly8vHZ2dk1NTaSkpCAgIJSUlBcXFz09PYqKiltbW4yMjKampiMjI9XV1dDQ0Nvb2yoqKmpqanFxcUNDQ6mpqWFhYWRkZKGhoXl5eWBgYKurq7e3t4GBgTMzM8LCwpWVlV1dXXx8fNPT02VlZefn55qamklJSZeXlzU1NSYmJkdHR+vr6+Li4tnZ2V5eXkVFRejo6CwsLKenp2ZmZoODg0xMTC0tLWhoaM3NzW9vb21tbWtra4uLiwsLC1xcXFpaWlRUVGxsbNLS0p+fn2dnZ3NzcyUlJS4uLkZGRhERERMTE7+/vxUVFUhISDs7O6OjowwMDDc3NycnJzExMQUFBZKSkq+vryIiIhwcHFFRURYWFisrKwYGBj4+Pri4uAkJCS8vL4+PjwgICHBwcDk5OUtLSygoKDAwMBgYGAAAAE16VgoAAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAAL+0lEQVR4Xu2d3bmjIBCG0wM3tGABNABX3kMNtEBfVmEVVmAPOwP4E4MKRBNylnf3OWvWnCROPphhHOBRqVT+Elr7gzWKKH9EqD+ovGBMyDjc+IOH7ok/qmzozSSwNbRfDEq7arwgnIVM9yDCHyC6qc02gOq4P3qCPlu0mxvwf44U4BsIc1Iig8SfrJGgQAlN1bVgbi2qRMMpPk+MQXH+d/CxZWCN1umt79AqVAxEk8FQKVq0Je2trfpOkw4f6yHkiv9D5DDATxAZwhr7j+m0koMB8VnbCeccGjgp0IpyWHd//zNsoA/lhKQa0CDQQf9mpdg0YCvpZAcN2neGsq22c3Bogdp7Tqc7bc02Si8wM8UkonVH1XYTZIQG6o9Zhz8N+AKN9jEgyYd2XlWCOhvnJPRQIzyHHLl0jRI1CFZUGIMINBu23am3E2BLYrs/8C9epv89cqUiisdoITVCzydb6OlI706ZhujGO1zXK1ZgmO8PEANm0RDU0R68B2VwSvv2LKlgrvWqroYoIVTjfek+ypuwsoX2NoTbhwofslReUN437KDI4elKpVL5PVT1CNlwTANUcqCdT+lVkuFtiyPaSjqy6camjh+y4FyMsp9SU5UU1MMM1dPmYhN4lSxAd/6okkrVXT5Vd/lU3eVTdZdP1V0+VXf5VN3lU3WXT9VdPlV3+VTd5VN1l0/VXT5Vd/lU3eVTdZdP1V0+VXf5VN3lU3WXT9VdPlV3+VTd5VN1l4Ymy8yJqrsUJDOi95OQq+7SYI16qM5Pgaq6S4KN8vFopukTVXcpKDb0Zi65e0d3n7V6Ed8xbYZuNpgZWM/hgxmG6y1oZifnGYYzpjjDqkbZMzwvGM6R0j3O25ue3PvzOEUZzsNrwgN/Hh6Qns0vpsjqxR5wHh7Ai7nz+GJwHh/AeXiyf2e2erHDT5b/9SdCmZSdXagCES3zl4OfQNuPC1eAl8MZXhvaBh5429gnKzgPD0SLdd74ZHyd6XLx2t2Tty8G5+GBN/TaNvitEPtm8Mr+zWbb+E8m2hHPwwP4L/fJ3IvBm82O73YYgzfEebMWnLydh+pbXPviM6iuhAn4qsPFAoRd5QMPsvs70nL+sVnx/ahzv+Mr4YOQel7sKdvP0gGaamMXHrgfPa2d8W2gW0b34MjWHcPGLj9zTa6tlMFKarm6I61+aA7C+0RTwoU0CpzQm6k7OoK/M+ODfmJKlV2opZlGQuWQqbseTW6gJfX3L7jlWmyByxfk6U7bpXskRmz3xw64opB7s8LI0t0SHmYLNx7ZljrhLUt3dhEkj+357uRTcVA6ObKxi3Dhv9b1rQ15A25tPnDsf8PPTtGWsQGKulV4s6ztQLYsMnQ3C8241pQdXkegbAiOFDjNN/3Cl2XxpB9jrjzH1XAIwR3TglUFkay7wPjIBRF3cLsjeotk3YmAoW4THrs7AHqLVN2tF7KUkxVxcHsHZJXjCq4//11Sdbce/Ds/i7BbUgLrEPwPjGfdar4et0wyco/w2HrRzAJtl6Y7m/CckUuLukN4Uwju+Hk/24z+YMsNSVB6Y+hzDUm6W6KtF+YY9jLSI89Pk6K7bbRFV83ocuHZlZdXzE69HFK+3X6z4PHiZ4HtyXfZhuC/7WeJX6t8ZvGzwMVJUDPffff8tJ99irYsKz8LXNo/ve5hUGBsHK+7M29AL9yyQX3m/tubRKvl/PbylKW8gAtf6kZidReKttZ+FrguCfocgjvkta7oCmJ1F8qsm81aoby95vqWhOeK380bP4+PPE8xCnLRSCAYgv9s3jhcEEK29rwmJUCHkMTcjaWiiNOd2EZbOwRNnArbGzSXRpTuonfuuWKbmpcQvFiidLcjJ7sD3BPK7jj1FuEWG3qzb8DXPXqM7vaiLfFqKFeo8g57X2Zfgq/Q7bo/idDd7h5vfaBjejcJutdiVQnjWSo2tjvV3e5gjGBN+gb5XkHe66B5wm0W+VWUkOPadgK3GjwkcXz0XkGeresrFU4ek+006/u+a5mdT7KLCoyPjngrJVBMTXYICZ9ttl3XNc3Yds3RDsfB8ZEn7PreEJ4a9+PDr/tZyrSU4zBvkIdrktPDRcnXt5e3iODuyalCXXHU+X7dz8oGaAe/lSpyMq9nL9qy7Cgswv2EOfIzRfjZpc1aTuK7wwb4tD33Qq7wjhOeBfhZYHiOUY50lzc+ih39bhAXpbDu5Kli/FB3+9HWIXlJUJnfT36JQ931x4OOXSfzVLUSCbRYfxSGHn6Ur3Cku2DCc0VgPOvBPbsTOSuA7IvwFU8c6E51Jy326f7sE+mVoGctthA/+8SB7k5jDY4TssMkJ0FP61nK8LNP7OsuYny0f7mpSdCDKiHPiWm/wa7u3ry9nJYEDd1ULJ9d3UWMDo4Gc2lJ0NMWC292+nE+zp6JYtIh/Ghr5JQkaEwIbspT5o7uVBdx6ft+FkhIgsbE0j/kZ3nMsOpQdzAUjm1lUQlP8UZa8CbCurtifBRdCXqU5lpx3g4+TVh3l5StR+aiSlqEIo2g7s6jLcexgekYJd7IWxTlyS6ou8OE54qDcYUlSnixPuVH+rvYgpCzOxNR/jMyzfUjfjY64Rm+X7EiwltH50nNL+gufs7qieXgCaeNfzuL4qd41d2VEyXIWRI0I9FXDi+6i4y24lDdcbP+jZrsPV58YcItijM/CxxXgu5WCQX4AT+bUhASqoPachT4HtUcbFlWFS6HTX+XVBBy6meBoyRo0i2hvnTd0aTxUVRKbf/2V1rCs8D83bPubri9vD9uSGixZfKkuzcLD8OwHeHFDprL5Ul3iRkNcu5ngZ3JoanFA+KGr/VN1rpLrSM5zBsvhIe9iS228PFscsIzxs8CwVsfyQXxRdS5P7PSXfIifbGlmNsYEqBDapVQGfMrnlh0d1/fHejazMWrC3yFWRMp46NUXgZ+Z1VCv8F8WRnRFuGxv7IVXkZdX8H1KDktNtLPAhsPHnkXaE3BfjarVHPejOCcJ6FlJTzLnbedNT5KcH3rJGjeTcXE8ez+5WRc6A5Od5cmPIN0S11UZil3Eho3dgmjedq3sI/V3QeW/FqSoLcMmp9R4mAbmsOTSVjdBYLXGDRJ+LWpIC+3ri9ibeh5zRFybB3RXGM8NFvuhOGkmWPaCy+zxUb4WSX8Zcju5C2aa0JZMajMWRRg96TaTueOsis8z/ysov20c5hfsxr+SznPAAfuk+L/ACQ9RnKoeSYeArpbpQPS2KzLc4JL52evbH/m1HXX+pGRGt2/sumE3bVTm8aWxlDBOjuVjo55Xa40pl81UTGST81ZxeKqiwfNaxWQaV7CVLzGmgdtwFSi0/C+FJoyo96uZ7MfwshRKLLqD8xwv4/10IG/MT80yNzFAXN+muAucAB2x2g6aFaqaUCOEFZSG6CoLkv9Pf5Wvwq22twWC99Doosx4xt1feF1eUiDO+QhS/2G9rajI16mGo2CZ1G40kXyMRXBL7iaOL7YS7RjzzIZB38QSdO2nT9MB9pHgB56OZeBXeqG5sarUeW87Qyqcz2ayRvZuA1cViMkyrom9884dPYg5i/8AfyPnD/DaH9z85eN8H3Yi1mWD6a2T8NGgfGQaXG3A3C0TpdOb1k3yl9s9w4fXfo17NT1tNgB7cw809F6AlxBh4DtBA5jpJFqhN5KcfuRZdYQ1HXWUVXsv4Caq/LkYOZRDkcJ8t4YjIFV3/YcTaaHxjjTPXhWt6t6bOm4FegfQ5FFDqoBqdGHFtZSirh/H5r7LIA9n4EciZoc0Z9FNkcXqEyudHTH5s22/yx62azzBSqibsmHyY7nfgi1fyulhMXN4fvDDaI/Brd7T/8JlOBatEmZFAi4si8fuhpRxNbHV2DXG04c2vPsDbo1DMP94V9BJ93ep/0YV8HyghqZtOmkP0RSIasSMi/3g6NuLtjFOZgvQw4n0G6B/upkysAuDeacYWTqH/4B5P6NvACEP05XXNnB5T3op5K0H4Bi9x2tI9lrqbsuz1cyXFlTZWbKC0Q3hpD4FRCkMaYfxrwgBe91KJFTu1AksmuHtk27O5nd3z14Z/iUIf59NEHSmuAbxUyUp9xI/4sUuIFHpVKpVCqVj/J4/APk69OYy7k3UAAAAABJRU5ErkJggg==)
graph for a particle is as shown. The distance travelled in the first
is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAATsAAACzCAMAAADBlkv0AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf///7Ozs7a2tunp6aysrObm5vT09LW1tdjY2PPz8319fXt7e+Dg4J6ennp6evb29vv7+76+vmJiYqqqqvz8/HR0dHJycu/v793d3dzc3NfX10BAQK2traCgoFdXV/7+/qWlpYWFhbCwsOzs7Dg4OJOTk+Pj42NjY+rq6kRERHV1dcjIyJGRkbm5uaKiolhYWN7e3h8fH9HR0aioqFJSUlVVVcnJyfn5+ZiYmFNTU9/f325ubnh4ePHx8Y2NjZycnPDw8E9PT5mZmYiIiCkpKeTk5J2dnQQEBI6OjgAAAP39/WlpaTIyMoeHhxISErGxscDAwBQUFH9/f8bGxszMzO7u7jQ0NK6urkFBQc/Pz729vR0dHbS0tPLy8srKyiEhIfj4+F9fX8PDw/X19VBQUPr6+jY2Nru7uxsbG5aWlgICAs7Ozj8/P4mJie3t7RAQEFZWVtra2vf3905OTllZWTw8PAEBAUJCQnd3dxkZGZCQkMTExA8PD4aGhhoaGsHBwQ0NDZubm0pKSiQkJNbW1sfHxw4ODn5+foCAgAcHB7KyssXFxYSEhB4eHrq6uuHh4cvLyzo6OuXl5QoKCoKCgtTU1Ly8vHZ2dk1NTaSkpCAgIJSUlBcXFz09PYqKiltbW4yMjKampiMjI9XV1dDQ0Nvb2yoqKmpqanFxcUNDQ6mpqWFhYWRkZKGhoXl5eWBgYKurq7e3t4GBgTMzM8LCwpWVlV1dXXx8fNPT02VlZefn55qamklJSZeXlzU1NSYmJkdHR+vr6+Li4tnZ2V5eXkVFRejo6CwsLKenp2ZmZoODg0xMTC0tLWhoaM3NzW9vb21tbWtra4uLiwsLC1xcXFpaWlRUVGxsbNLS0p+fn2dnZ3NzcyUlJS4uLkZGRhERERMTE7+/vxUVFUhISDs7O6OjowwMDDc3NycnJzExMQUFBZKSkq+vryIiIhwcHFFRURYWFisrKwYGBj4+Pri4uAkJCS8vL4+PjwgICHBwcDk5OUtLSygoKDAwMBgYGAAAAE16VgoAAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAAL+0lEQVR4Xu2d3bmjIBCG0wM3tGABNABX3kMNtEBfVmEVVmAPOwP4E4MKRBNylnf3OWvWnCROPphhHOBRqVT+Elr7gzWKKH9EqD+ovGBMyDjc+IOH7ok/qmzozSSwNbRfDEq7arwgnIVM9yDCHyC6qc02gOq4P3qCPlu0mxvwf44U4BsIc1Iig8SfrJGgQAlN1bVgbi2qRMMpPk+MQXH+d/CxZWCN1umt79AqVAxEk8FQKVq0Je2trfpOkw4f6yHkiv9D5DDATxAZwhr7j+m0koMB8VnbCeccGjgp0IpyWHd//zNsoA/lhKQa0CDQQf9mpdg0YCvpZAcN2neGsq22c3Bogdp7Tqc7bc02Si8wM8UkonVH1XYTZIQG6o9Zhz8N+AKN9jEgyYd2XlWCOhvnJPRQIzyHHLl0jRI1CFZUGIMINBu23am3E2BLYrs/8C9epv89cqUiisdoITVCzydb6OlI706ZhujGO1zXK1ZgmO8PEANm0RDU0R68B2VwSvv2LKlgrvWqroYoIVTjfek+ypuwsoX2NoTbhwofslReUN437KDI4elKpVL5PVT1CNlwTANUcqCdT+lVkuFtiyPaSjqy6camjh+y4FyMsp9SU5UU1MMM1dPmYhN4lSxAd/6okkrVXT5Vd/lU3eVTdZdP1V0+VXf5VN3lU3WXT9VdPlV3+VTd5VN1l0/VXT5Vd/lU3eVTdZdP1V0+VXf5VN3lU3WXT9VdPlV3+VTd5VN1l4Ymy8yJqrsUJDOi95OQq+7SYI16qM5Pgaq6S4KN8vFopukTVXcpKDb0Zi65e0d3n7V6Ed8xbYZuNpgZWM/hgxmG6y1oZifnGYYzpjjDqkbZMzwvGM6R0j3O25ue3PvzOEUZzsNrwgN/Hh6Qns0vpsjqxR5wHh7Ai7nz+GJwHh/AeXiyf2e2erHDT5b/9SdCmZSdXagCES3zl4OfQNuPC1eAl8MZXhvaBh5429gnKzgPD0SLdd74ZHyd6XLx2t2Tty8G5+GBN/TaNvitEPtm8Mr+zWbb+E8m2hHPwwP4L/fJ3IvBm82O73YYgzfEebMWnLydh+pbXPviM6iuhAn4qsPFAoRd5QMPsvs70nL+sVnx/ahzv+Mr4YOQel7sKdvP0gGaamMXHrgfPa2d8W2gW0b34MjWHcPGLj9zTa6tlMFKarm6I61+aA7C+0RTwoU0CpzQm6k7OoK/M+ODfmJKlV2opZlGQuWQqbseTW6gJfX3L7jlWmyByxfk6U7bpXskRmz3xw64opB7s8LI0t0SHmYLNx7ZljrhLUt3dhEkj+357uRTcVA6ObKxi3Dhv9b1rQ15A25tPnDsf8PPTtGWsQGKulV4s6ztQLYsMnQ3C8241pQdXkegbAiOFDjNN/3Cl2XxpB9jrjzH1XAIwR3TglUFkay7wPjIBRF3cLsjeotk3YmAoW4THrs7AHqLVN2tF7KUkxVxcHsHZJXjCq4//11Sdbce/Ds/i7BbUgLrEPwPjGfdar4et0wyco/w2HrRzAJtl6Y7m/CckUuLukN4Uwju+Hk/24z+YMsNSVB6Y+hzDUm6W6KtF+YY9jLSI89Pk6K7bbRFV83ocuHZlZdXzE69HFK+3X6z4PHiZ4HtyXfZhuC/7WeJX6t8ZvGzwMVJUDPffff8tJ99irYsKz8LXNo/ve5hUGBsHK+7M29AL9yyQX3m/tubRKvl/PbylKW8gAtf6kZidReKttZ+FrguCfocgjvkta7oCmJ1F8qsm81aoby95vqWhOeK380bP4+PPE8xCnLRSCAYgv9s3jhcEEK29rwmJUCHkMTcjaWiiNOd2EZbOwRNnArbGzSXRpTuonfuuWKbmpcQvFiidLcjJ7sD3BPK7jj1FuEWG3qzb8DXPXqM7vaiLfFqKFeo8g57X2Zfgq/Q7bo/idDd7h5vfaBjejcJutdiVQnjWSo2tjvV3e5gjGBN+gb5XkHe66B5wm0W+VWUkOPadgK3GjwkcXz0XkGeresrFU4ek+006/u+a5mdT7KLCoyPjngrJVBMTXYICZ9ttl3XNc3Yds3RDsfB8ZEn7PreEJ4a9+PDr/tZyrSU4zBvkIdrktPDRcnXt5e3iODuyalCXXHU+X7dz8oGaAe/lSpyMq9nL9qy7Cgswv2EOfIzRfjZpc1aTuK7wwb4tD33Qq7wjhOeBfhZYHiOUY50lzc+ih39bhAXpbDu5Kli/FB3+9HWIXlJUJnfT36JQ931x4OOXSfzVLUSCbRYfxSGHn6Ur3Cku2DCc0VgPOvBPbsTOSuA7IvwFU8c6E51Jy326f7sE+mVoGctthA/+8SB7k5jDY4TssMkJ0FP61nK8LNP7OsuYny0f7mpSdCDKiHPiWm/wa7u3ry9nJYEDd1ULJ9d3UWMDo4Gc2lJ0NMWC292+nE+zp6JYtIh/Ghr5JQkaEwIbspT5o7uVBdx6ft+FkhIgsbE0j/kZ3nMsOpQdzAUjm1lUQlP8UZa8CbCurtifBRdCXqU5lpx3g4+TVh3l5StR+aiSlqEIo2g7s6jLcexgekYJd7IWxTlyS6ou8OE54qDcYUlSnixPuVH+rvYgpCzOxNR/jMyzfUjfjY64Rm+X7EiwltH50nNL+gufs7qieXgCaeNfzuL4qd41d2VEyXIWRI0I9FXDi+6i4y24lDdcbP+jZrsPV58YcItijM/CxxXgu5WCQX4AT+bUhASqoPachT4HtUcbFlWFS6HTX+XVBBy6meBoyRo0i2hvnTd0aTxUVRKbf/2V1rCs8D83bPubri9vD9uSGixZfKkuzcLD8OwHeHFDprL5Ul3iRkNcu5ngZ3JoanFA+KGr/VN1rpLrSM5zBsvhIe9iS228PFscsIzxs8CwVsfyQXxRdS5P7PSXfIifbGlmNsYEqBDapVQGfMrnlh0d1/fHejazMWrC3yFWRMp46NUXgZ+Z1VCv8F8WRnRFuGxv7IVXkZdX8H1KDktNtLPAhsPHnkXaE3BfjarVHPejOCcJ6FlJTzLnbedNT5KcH3rJGjeTcXE8ez+5WRc6A5Od5cmPIN0S11UZil3Eho3dgmjedq3sI/V3QeW/FqSoLcMmp9R4mAbmsOTSVjdBYLXGDRJ+LWpIC+3ri9ibeh5zRFybB3RXGM8NFvuhOGkmWPaCy+zxUb4WSX8Zcju5C2aa0JZMajMWRRg96TaTueOsis8z/ysov20c5hfsxr+SznPAAfuk+L/ACQ9RnKoeSYeArpbpQPS2KzLc4JL52evbH/m1HXX+pGRGt2/sumE3bVTm8aWxlDBOjuVjo55Xa40pl81UTGST81ZxeKqiwfNaxWQaV7CVLzGmgdtwFSi0/C+FJoyo96uZ7MfwshRKLLqD8xwv4/10IG/MT80yNzFAXN+muAucAB2x2g6aFaqaUCOEFZSG6CoLkv9Pf5Wvwq22twWC99Doosx4xt1feF1eUiDO+QhS/2G9rajI16mGo2CZ1G40kXyMRXBL7iaOL7YS7RjzzIZB38QSdO2nT9MB9pHgB56OZeBXeqG5sarUeW87Qyqcz2ayRvZuA1cViMkyrom9884dPYg5i/8AfyPnD/DaH9z85eN8H3Yi1mWD6a2T8NGgfGQaXG3A3C0TpdOb1k3yl9s9w4fXfo17NT1tNgB7cw809F6AlxBh4DtBA5jpJFqhN5KcfuRZdYQ1HXWUVXsv4Caq/LkYOZRDkcJ8t4YjIFV3/YcTaaHxjjTPXhWt6t6bOm4FegfQ5FFDqoBqdGHFtZSirh/H5r7LIA9n4EciZoc0Z9FNkcXqEyudHTH5s22/yx62azzBSqibsmHyY7nfgi1fyulhMXN4fvDDaI/Brd7T/8JlOBatEmZFAi4si8fuhpRxNbHV2DXG04c2vPsDbo1DMP94V9BJ93ep/0YV8HyghqZtOmkP0RSIasSMi/3g6NuLtjFOZgvQw4n0G6B/upkysAuDeacYWTqH/4B5P6NvACEP05XXNnB5T3op5K0H4Bi9x2tI9lrqbsuz1cyXFlTZWbKC0Q3hpD4FRCkMaYfxrwgBe91KJFTu1AksmuHtk27O5nd3z14Z/iUIf59NEHSmuAbxUyUp9xI/4sUuIFHpVKpVCqVj/J4/APk69OYy7k3UAAAAABJRU5ErkJggg==)
physics-General
Maths-
Period of
is
Period of
is
Maths-General
physics-
A particle starts from rest at
and undergoes an acceleration a in
with time
in seconds which is as shown
![](data:image/png;base64,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)
Which one of the following plot represents velocity
in
versus time
in seconds
A particle starts from rest at
and undergoes an acceleration a in
with time
in seconds which is as shown
![](data:image/png;base64,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)
Which one of the following plot represents velocity
in
versus time
in seconds
physics-General
Maths-
Period of
is
Period of
is
Maths-General
physics-
Two inclined planes are located as shown in figure. A particle is projected from the foot of one frictionless plane along its line with a velocity just sufficient to carry it to top after which the particle slides down the other frictionless inclined plane. The total time it will take to reach the point
is
![](data:image/png;base64,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)
Two inclined planes are located as shown in figure. A particle is projected from the foot of one frictionless plane along its line with a velocity just sufficient to carry it to top after which the particle slides down the other frictionless inclined plane. The total time it will take to reach the point
is
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I08kCA1ENqoziq5k5Ua7ivxJxE6eHVIXuJCijXnw37PbOE51ToqUe/Eqi4VukI0xFx9JUkTIlDVXfiGpz5/6JZYlBpBnv5J9U17RPAlpKdwJF85VOwsrTUUDBsjFmUVfXHEYKKziILHLfXUGaWjQDcV6JUae6FyrsCpcQ4WQb7ndASfBInjy//hKqByoxgJ9kpM4m+Uqrv4IcodwW/NjyH/pPjwHH1VLrLONA05LhiOpqkA2JWQCXJB+l65S+YJZwDJ+Xb1lIHh9RFyYAgUTILCuU8t61RlVmxIkhbgAzPv2IVI0DVvx3yacRjSZuvmLhMNHUGAEkuSAKS9DfWK+Epfgact5ttTVLqgF2qS6QFKgiyTAb5bgwKB2QcCiNMQQuef/4Z5WCUg5d/DKHWWrEgAJKgFBNX49TugJhbK5f4+TX/wij606NWn1StUL93qurIKkLBKrv5SlVKwUYGtG4KJ+wu1c9axQjpP6MPyqkqH+N91TwGKaL2Thz3BbJIqZ99RrkIKnrxFYAaeHUCqVBBkGUuZLFQGYMsy5HZKuM6giLvfv/kjweEkvGt8lRyVjm3o643+FqUBfucOF/xVJBVjcoCkrqljyATLPWnprhlUCl+OyRTgDFICrFgLynw7nVQOFbJwzMU8Gz+F6IfMkv2FJwB56lq5aSm7G0hM+BYqvIqrji1l3yASk0f6/yJPsRWOim1tzNqFbQash/wx1lvq9+65epmMMY+xhHuK85HKqESpWN9467+Rn7qdmIwCpcP6h8k6s3zT1M3IeLjUmA7Q1RV7iNEX/FDNeW+KiyzqFFKQTVL36MUO0QTKfjbvSWUiOlbVz5nzAndxrk/zLWOYzc009rDMP58rMOOOYQWdPU6yGHns6K8QDtmIJB28+7pcNToB6a40Si7QRnnvFy4zDJ0XY/viVfwvF7VR2H9owClzD4LtPuKCT0v6tRAHh/hBzGs23ZuUZlxmlb5L9gR328WeIqXR6Psqn6aNvoKhuueGujGM3tR8V/HTFtRMMZhH8egUkXYSqRolu5t4yR7OM1t2+LLwcmHllPMVC733/+7JMEoOAe6h5yIkMoOU8eHX+G653WSm4jz1v+BVWA8rZOhYCIsw3wlqoGui3CeKT79/MYn25u+W6Sm/dzKIxKiprrYN0u7fe/txCKo7J4zbtBvNK4g3mybPAg8nedu4vcmCppUkJpWedV85fhAIufgpHzeHwJ0EQnv/TiraUxDwKVURLzQkv+NwigclO2EmjQ9/GPc1FTDdIZ96DWXYu0FlGkHWhHoMAZFDeXwiUKn++kkb54N82WbTzx6PPfoTfGrkwfpO3y+cb0yBpVlWO11Aj8njMK+LNGWzm9vYfSnOty9CxzBbTe39bMcQo5oe3msH2fs2vOZw8Bp3UYbD7RYBjo+uiFr/t9kleB1OEV74U9AyikJUB3qNYyXtADVbrwWwFGixV2hfoAkLccgF8eDQOumQIjla5qMtjjjcDqf6aAIu/a6lYL3rORL+771yuApOFG3znK3X09HYF7StvP5AqmgOV3i89kBUQZatwJ7XzEc6AoaGEXex5PcBhciK3hqB3WU6pPOb3vaJ/Yf3tKmGeKsdZhmYHtb+Yw5VPCF5OvGXLcoylIgMuIr72RbCoAkh57RcVqAyKZSDH7F4QCmCL48xqHpO24nsiMkkjEL5Q/daqsgqQLoQXRRfs/9VHiv1kbJa9CSuNFXRDmJ3gP6ynrZtgvfc1Ddpt3Cya0Ef42Y+KZXiKJR5MfwtTLFxSE2RltM4k6cSnm9LImoRRWvvrJHVAOd2aHvTyd5MQYMxZOMBYV+qBEyvmO9MngbCpYSrez8bq5gZpjjjxm0nTtzhSTQEvYKQPaVAOVlvztGXFnjyoCrv6Vt3S2Sqqxmk7DdNwzP8ekDlJ/dwKdyxmNYRDwYTu2EGYPLBFHpCMjL2clXjo6IsuKo/ryhoR2+EU74g5po1U+n6aLC/zFLDCoaqaxoLhXI1J503mtMSwiMZe9lCpCSGXxFRcYk1Dwl2s5u3daDn+CzG+FZjnPAz/+HVar+o/84WE+Q120LJMk+KwCZx/n0lYNSK+3E1ZopJDFDMvlVpgKRCslnlL8ecYNRUAqDSkCxnODnLaDVypkHSrVIfIWpsorEHBSg0AxUV9KI5rTtnu7UkfrL3pKPRM+w3wOXU3DHsIWh3yQiMARZQhBU+qpNhonPbfdwqaVUdiJAuCzCNaE/HuBCpnLT84tmCd0HRUno1oIN4T+8XEN5wJ6v4b4imrodYC/dSexYeaB/l21v0lrjPgm6JP0F4KBc/zu+hj/87CfMSdLK6koVfC0yHMxthUuS6ghhj2QCTrBkjUEBwmjxc2nep8ESpCDugl9o4cy1W6r85KTGFXEFaElRR/MVhWkYdjrHBy0zf8flCPK0j7X0s8Bx8jqoRvLyzOBGXoodAEKRh0wlPUNwJCrmtpTnvAQXSRryg7omcvEMI4cMQChzyq/aRYJK/icDuXCgoR8qVSR/g2NVVFZ9JWZ/WOpVBXmYv0BWlVeI/odVOCjHl38S9BkIYwxg9xITpYysEXVB8yv0QBCznKOKEJqUKgpX4a7h4n9Wiur68OeXzYIC5FdwrDQ7q7DMUEnaZwS9EjtRUMtjkCCJwx5IBCEMd4VUoOOBEEWuHiJ3+r5oFo4/82pGiUUTnGpnWcitFYGjEnZHSHcHucs4wFFGJWuuBT6R4lwgrJ2fAkOVXV6VxYPjcovay7P2aoBoGmEQUS0UaTVfSdmamtClxiaRE2kb1lGJIkMBQq5wv2AWegoqiiKkQPszDgTXeIyTJJMi1j/dco6SolwLzVeM4yZ0UnNKds46iZ0SeRtHtmCnrOyXFxVweI/uJ/dvD7C029W8L4HLWb3eLv4O9Ov4XmH4wr8y84dRhvYyTu0VTPy9sm/FfF6/s8RtM+IKRv6M2CetQjfrx3Vdx6t/VzMD+Zm/6wV+5W/dzmPky78VeboAbe39O7BPJg9kV+kP/gLJvz1x7S+Q+U/PdPS330JO3knq1NBHmlv8U57B6JNmsfRu8W4DNJMXv0LcMaQB3IWWJBl3LndS07SV2AleeOGFF1544YUbx58//wG0UEun6FRGegAAAABJRU5ErkJggg==)
physics-General
physics-
characteristic of a copper wire of length
and area of cross-section
is shown in figure. The slope of the curve becomes
![](data:image/png;base64,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)
characteristic of a copper wire of length
and area of cross-section
is shown in figure. The slope of the curve becomes
![](data:image/png;base64,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)
physics-General
physics-
Four concurrent coplanar forces in newton are acting at a point and keep it in equilibrium figure. Then values of
and
are
![](data:image/png;base64,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)
Four concurrent coplanar forces in newton are acting at a point and keep it in equilibrium figure. Then values of
and
are
![](data:image/png;base64,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)
physics-General
physics-
The effective capacitance between points
and
shown in figure. Assuming
F and that outer capacitors are all
F is
![](data:image/png;base64,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)
The effective capacitance between points
and
shown in figure. Assuming
F and that outer capacitors are all
F is
![](data:image/png;base64,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)
physics-General
physics-
The four capacitors, each of 25
F are connected as shown in figure. The DC voltmeter reads 200 V. the change on each plate of capacitor is
![](data:image/png;base64,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)
The four capacitors, each of 25
F are connected as shown in figure. The DC voltmeter reads 200 V. the change on each plate of capacitor is
![](data:image/png;base64,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)
physics-General
physics-
For the circuit shown in figure the charge on 4
F capacitor is
![](data:image/png;base64,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)
For the circuit shown in figure the charge on 4
F capacitor is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAXoAAAFWCAYAAABnzlbdAAAgAElEQVR4nOzdeWyc933n8ffzzD0cksPhfYqkSImkDuqmj1i249tWnNhBrzTdpEWCbNEiXRRdYNddYBdBt2mQ/hFvdxEEu00awHXaHK5ru06UyLIdyZZ1HxR1UBQp3vc993PtH85MSYvHkKJIavh9AWlS8XlmfjPkfOb3/J7f7/tTLMuyEEIIkbbUtW6AEEKIu0uCXggh0pwEvRBCpDkJeiGESHMS9EIIkeYk6IUQIs1J0AshRJqToBdCiDQnQS+EEGlOgl4IIdKcBL0QQqQ5CXohhEhzEvRCCJHmJOiFECLNSdALIUSak6AXQog0J0EvhBBpToJeCCHSnAS9EEKkOQl6IYRIcxL0QgiR5iTohRAizUnQCyFEmpOgF0KINCdBL4QQaU6CXggh0pwEvRBCpDkJeiGESHMS9EIIkeYk6IUQIs3Z17oBQtwrDMNgamqK9vZ2Ojs72bFjB7W1tYue197eTmtrK3l5eZSUlFBQUIDdLh89sXqkRy9EinRdZ2BggPfee48f/OAHtLS0pHTetWvX+OlPf8rRo0dpa2sjHo/f5ZYKMZsEvRApsiwLTdMIh8NMTU2lHNiGYRCNRgkGg4TDYUzTvMstFWI2CXohUmRZFpZlLfk8RVFQVRXLsjAM4y60TIiFSdALkSJFUeb830s9V4jVJkEvxBIoipIM7eWEvQS+WAsS9EIIkeYk6IUQIs1J0AshRJqToBdCiDQnQS9Eiux2O3a7HVVVl3RT1Wazoaoqqqpis9lkVaxYdRL0QqRoufPoZ5633McQ4k5I10KsmFAoxPXr15mYmEi7QLPb7YTDYXp6erhx40ZKK1x1XWd0dJSOjg56e3vRNA2n04mmaWRlZaFp2iq1fnGKomAYBpFIhKKiIhoaGvD5fDIdNE1I0IsVMzk5yS9/+Uv6+vrIyMgA0mehkKqqxGIxxsbGaG9vJxqNLvpFFo1G6ezspLOzk/7+foLBIJqmMTY2hsfjWVerZFVVJRqN0tfXR0NDA1lZWWzatAmv17vWTRMrQIJerJjJyUmOHj3K+Pg4e/fuxePxoKrpMTqYCPp4PI5hGCldrViWha7rGIaBYRjouo6macRiMVRVXVdBb7fbCQaDdHR0oGkalZWVeDweKisr17ppYgVI0IsVE4/H6e7uxul0Ul1dTW5uLjabLS2GcGw2G5FIhIGBAUKhENFodNGrFafTSX5+Pvn5+eTk5BAIBKisrGTLli34fD50XV+l1i/O5XIxMDBAW1sb4XCY4eFhQqHQWjdLrBAJerFiFEXB4/FQU1PDZz7zGUpLS3E4HGkxXu9wOJienqatrQ3DMBgdHV006F0uF7W1tdTV1dHc3Ex5eTkHDhzgwQcfJDc3l1gstkqtX1xGRgbt7e309PQwNTVFZmamzA5KI/KbFCtKURTcbjc5OTlkZWWtdXNWVG5uLiMjI3i93iVNsXS73bhcLrxeL1lZWeTm5ianaq4nOTk5eL1eIpHIkqeQivUtPQZQxbqRGJeORqPragx6JUSjUWKxGLquL+kKJTFOr+s68XicaDR6F1u5fNFoFF3XMU3znr8CE7NJ0AshRJqToBdCiDQnQS+EEGlOgl4IIdKcBL0QQqQ5CXohUpRYD5CYlbKUmSkzzxNitUnQC5EiRVGSpYaXMsc8sVeszE0Xa0WCXogUKYqCy+XC6XQuaaNvRVGw2Ww4nc7kuUKspvW1NE+Idcxms5GTk8POnTsxTTPlgl9lZWV86lOfoqCggNLS0nW3IlakP/mLEyJFdrudvLw8HnvsMR599FFsNltK523fvp36+vrk8E26VPQU9w4JeiGWQFGUWT1yy7IWHYqRcBdrTf76hLgDMt4u7gUS9EIIkeYk6IUQIs1J0AshRJqToBdCiDQnQS+EEGlOgl4IIdKcBL0QQqQ5CXohhEhzEvRCCJHmJOiFECLNSdALIUSak6AXQog0J0EvxF0kOweK9UDKFIu0EQqFaGlpIRaLUVdXh9/vx+FwrGmbFEWnv7+ftrZbjI6OEQ6HMAwD0zRvq3yZ2E9WURSysrLYsWMHZWVlsiuVuGMS9CItRCIRWltb+c53vsP09DR/8Rd/we7du2cF/cwgXYxlWWiahmVZyX1iP1lT3rIsDMNA1/XkNoOfeBQgyvnzH/Ld777CmTNnGRjon7c2faJ9qqqyZcsWXnrpJZ555hlycnIk6MUdkaAXaeHs2bP86Ec/4sMPP6SwsJBYLLbkx5i5iUgoFOLw4cNMT09TWFjIrl27KC4unnW8aZrcvHmTH//4x+Tl5fFHf/RHc4Z9JBJiYmISRVGor6/n0UcfpaCgAMMw5m1LXl4eO3bswOPxSMiLOyZBL+5pkUiE/v5+3nzzTf7pn/6JyclJKioqsNvtS97VaWagtrW1cezYMSKRCNu2baOmpmbWsZqm0dvby7lz5zh8+DBbt27lS1/60lyPiqra8PkyqKqqYv/+ffyX//JfKCoqWs7LFWJZJOjFPWtycpLDhw/zne98hzNnzqBpGkByL1drGXdCY7EYb7zxBs3NzQQCAWpra9m9ezclJSXJY6amprh58ya/+tWv6Ojo4Etf+hL79u2bozc/m2VZmKaJrutLbpcQd0Jm3Yh7jq7rdHV18bOf/YzXXnuNjo4OCgoK2LFjB4FAAMMwlhXyAIZhcPHiRVpaWvD5fNTW1lJXV0dGRkbymFgsxuDgIJcuXeLWrVs0NTWxe/fuBTYL//hKITGmv5xhJSHuhPToxT1nZGSEDz/8kL/6q78iHA7z1a9+lcbGRnRd5+WXXyYSiSw76OHjQE6M1881Pp74uWmayZu1QqxnEvTinuPxeNi8eTNf/OIXsdvtPPfccwQCATo6OnA4HMTj8WU/tsvlwjRN4vE4uq7P+YXhcDiw2WxomkY0Gk3hUf99No3L5SIrK2vZ7RNiOSToxT0nOzub/fv3s3///uS/DQ0NMT09TTwev6NZKsFgEFVVcbvdOJ3OOYdjotEo8Xgcl8tFZmZmCj36j9uj6zrBYJCBgQGys7OT9xQ+yeFw4HA4ZLaNWDES9CItrEQotra2cu7cOex2O7t27aKhoYGCgoLkzzVNY2BggJaWFq5cuUJ1dTUlJSUEAoEFH9dms2GaFj09PXR0tHP27Fm8Xu+sq4XEUFFWVhaf+9zn+MxnPkN+fj52u3xExZ2TvyKRFkzTvOPHuHbtGu+//z7FxcU0NDRQU1NDbm5u8ueGYdDf38/169dpa2ujqamJhx9+mJycnAUfN/EdlOjRDw4O4nK5ZgW9aZqoqko4HGZ6evqObigL8UkS9EL8Rn9/P9euXaO0tJSSkhIKCgpwu93JnyuKwuTkJAMDAwwPD5Ofn3/b/Pq5GIaBqiqUl5dTX1/HV77yFTZv3jzn0I2qqmRlZZGZmbnALB4hlkaCXojf0HWdUCiEzWbD5/Mlp1QODg4SCoXo7e3lypUrdHZ2Mjw8zMDAAJOTk4uO0yd65m63m4KCArZv3z7rSkGIu02CfhVYlkUwGMQ0TXw+X8o9tXg8TigUwuVy4fV673IrBYDdbk/Oddd1nYmJCVpaWmhvb+fWrVt0d3fT2dnJ6OgoZ8+epbi4mIceegi/37/Ao348dmMYBtFolImJCQl6saok6FeBruscO3aMvr4+ampq2Lx5M+Xl5Yue19LSwve+9z0eeeQRfvd3f3cVWroxxeNxent76e7uZmJigs7OTpqbm4nH40xOTnL16lW6urro6+tjeHiY/v5++vv7ef/993G73ezYsWORoBdibUnQrwLDMLh8+TItLS1EIhEyMzNTCvpbt27x/e9/H7fbLUF/F42MjPDee+/R2tqaDP0LFy7Q39+fvEGakZFBcXExiqIwMjKCaZoMDQ3R1dUlK13FuidBv0oS0/8SqypTJTMv7r6enh5effVVbt26hdfrZXp6mitXrnDt2jVqamrYt28f+/btw+fz0dzczLvvvovD4cDlclFVVbVojRsh1poE/SpIhLyiKBLc69Do6Cj9/f3k5+dz33334ff7sdlsxONxKisr2blzJ3V1ddjtdjweD263m7KyMux2O5WVlbLSVax7EvSrZGbYL/U8WSF5d+i6zvDwMCMjI2zatIn9+/fzW7/1W2zatImMjAwMw0i+/4lZNQUFBXz605/m0UcfBZj1MyHWKwl6kRZM00TTNKanp9E0bd7yAjNNTU3xve99j97eXg4dOsT+/fupqalJDsXMtSpVUZQ5Z03N3LTkEz9B02JMTweZnp4mHA6vyOIuIZZCgl6kBbvdjs/no7KyEk3TyMjIWLSnHQqF+Jd/+RccDgdf//rX2b59+7KvnuY/T8Xny6aiopzs7GyKiorWfB9bsfFI0Iu04Pf7OXDgAN/85jexLItNmzbNWtU6l0R9eEVR0DQNwzBWuLaMArhpanqEysrt6LqOz+eT3aXEqpOgF2nB4XAQCAQWLTA2k9fr5cknn0wWE7sbN8oty0ZubgG5uQWLHyzEXSJBLzasnJwc/ut//a/Ax6WP70alSLmPLtYDCfpV4HK5cDqdyQ2rUx0HTgw93Ctjul6vF5vNds/MFLLZbOTn5691M9aNxO/NZrNJ2Y00sy6CPrGjT2K8NJ14PB4mJiYIBoPJ15jqEMHU1BQA4XA4eU4kErlrbb0TXq+XsbExNE1b8qIwsT4ktkeMx+NMT08zOjpKYWEhpmliGMZaNy8t2O32ZIdvVZ93VZ9tDqZp0t/fz+uvv05LSwtOp3Otm7Si7HY7sViMs2fPAlBVVbXoVnfj4+McOXKEn/3sZ5imyfHjx/nP//k/Ax/P/V5vFEXB6XTS3d1NV1cXdXV1aJqGaZpSavceYpomwWCQa9eu0dXVxYkTJ8jPz0/ujSuWT9M03G43Bw8eZN++fRQWFq7qpjJrHvSxWIy+vj7ee+89zp8/n5zHnC5zjVVVRdM0hoeH8fl88+5DOpNhGPT19TE4OAjAxMQEN27cAFZmg427wW63MzIyktxDVYLh3mQYBqFQiGAwSCwWY2JiQn6Xd0hRFIaGhgiFQmRkZCR3JdtQQR8MBpMBUV5ezu/8zu9QUFCwbocolsrlchEMBnnrrbcYHx8nMzNz0TH3rKwsHn/8cQYGBvjwww/Ztm0bX/nKVwDWZQEtRVHwer20tLTQ1dWFqqo4HA5ZMXqPURQFt9tNeXk5ZWVl1NXVUVFRgWma67aDsd7ZbDZsNhunTp3io48+Su4ZvHXrVjwez6q1Y82DXtf15CrG3Nxc9u7dS3l5OcFgcI1btjI8Hg+Tk5NcvnwZ0zRxuVyLBqDT6aSuro7NmzejKArFxcXcf//9WJaV7DGvJ4npiTabjczMzHVdFiDd7gGtJEVRcDgc+P1+qquraWxsZOvWrTJGfwcSY/JTU1NcvXo1uWZjta+S1jzoZ97lz87OprS0lJycnEX34byXZGZmkpOTg9vtTnnM2mazkZeXlzw/8b/Xs+Li4uReqOvxcl9CfnE2mw2Px0NOTg7FxcWyuGuFFBYWkpmZidvtxuFwrPrf4pp3u2YGwnx1RO51S5lSOdNyC6GtlfXaixdLk7gik9/nylluBqzY86/ZM//GzBefWJKebhKzFpbay02Mi67H3vFcljJ1VKxfiWmWMi6/ctb6s7HmQS+EEOLukqAXQog0J0EvhBBpToJeCCHSnAS9EEKkOQl6IYRIcxL0qyQxtWqpU6zW6+IjIcS9Q4JeCCHSnAT9KpjZI19KLerESmFZoSiEuBOSIKtAVVUCgQAlJSXk5eWlvHNPVlYWDQ0NUm9ECHFH1ryo2UZgt9t54oknePDBB8nKyiIrKyul83bu3MnLL79MSUnJXW6hECKdSdDfZZZloaoqFRUVSz4vLy+Phx56KPn/w71T4EwIsX5I0N9lyw3mT54nAS+EWC4ZoxdCiDQnQS+EEGlOgl4IIdKcBL0QQqQ5CXohhEhzMuvmDkSjUVpaWpicnMTj8VBVVSWLm4QQ644E/R3o7+/nBz/4Aa2trWzatInf+73fk6AXQqw7EvTLNDQ0xOnTpzl+/DjDw8Pk5uYuezPlYDDIxMQEwWCQgoICAoHAnMfduHGDaDRKRUUFPp8Pm8026+e6rjMyMsK7777LqVOnCAaDxGKxeTcmNk0Tu91OYWEhjY2NPP300xQUFCzrNQgh1i8J+mXQdZ2LFy9y9OhRWltbcTgcuN1unE7nkh8rHA7T29tLd3c34+PjNDY2zhn009PTnD9/nlAohM/nw+PxzBv0b7/9Nq+88gpAsm2KotwW9rqu43Q6qa6uxm63J1fhCiHSiwT9MgwNDXH48GFee+01IpFIykXKPikcDtPX10dzczO3bt0iFouxadOmWcdYlsXIyAjXr1/n5MmTAOzZs2fOISJFUVBVFcMwyMnJ4ZFHHuHgwYM0Njbi8XjQNO22x1YUBY/HQ05ODsXFxct6HUKI9U2Cfol6e3s5duwYfX19+Hw+DMOgoKAARVGWNHRjWRb9/f20tLTQ0tKCZVnU1tbe1ps3TZMzZ85w5MgRTNNky5Ytcw7bJCiKgqIoZGRksHXrVg4ePMiePXvu6DULIe5tMr1yiS5cuMBPfvITcnNz+f3f/30efvhhKioqUBQFwzCW9FgdHR2cO3eOtrY2cnNzefHFF6mpqZl1jGVZHDlyhB/84AfU1dXxH/7Df6CysnLBYaLEME00GmVqagpd15f1WoUQ6UGCPkWRSIRf//rXvP/++wwODlJbW8vBgwfJz89f9sYgmqYRiUSIxWKoqorH45nzuGAwyPj4OE6nk4yMjHl7858kWxAKIUCGblLW19fHa6+9xpUrVygpKWHnzp3Jm5ixWGxZj6mqKk6nE4fDAYBhGLeFuGVZuFwuPB4PhmGg6zo2my2lapaJY6TypRAbm/ToUxAMBmlububdd99FURR++7d/m+3bt885kyVViRun8PE4/Hzj+3a7Hcuy0HU95XsAiZusbrebrKyslK8AhBDpSXr0i9A0jZMnT/LBBx9gWRb19fU89NBD5OXl0dHRsaygD4VC9PT00N/fj91up6Ghgc2bN8/qeZumycDAAJcvX8Zms/Hss89SWVmZvNm6EJvNhqZp3Lhxg/fff5+xsTHcbvesWTeWZSW/CEpLS8nJyVny6xBC3Bsk6BcxMTHBT37yE06fPs3jjz/Os88+S15eHsCyF0hdv36dn//85wwODlJSUpK8CZvo4VuWRSQS4ejRo/z1X/81hw4d4nvf+x65ubkp9c7dbjehUIg33niDt956C7t99q/ZNE0sy6KkpIT77ruPr33taxw8eHBZr0UIsf5J0C+gp6eHEydO0N3dTX5+PocOHeJTn/pUMmx9Ph8OhwO73Y7D4cDrzZhxtgXM3fMOh8MMDQ0xPT2NqqoUFBTMuqGbmNseDodpa2vD7XZTWFiYcrt1XcfhcFBRUUFZWRmFhYXY7fbkF5NlWViWRU5ODjU1NeTn5y/5vRFC3Dsk6Bdw+fJl3njjDcLhMPX19VRUVOB0OonH4zgcDsbHx4lGo8TjcWKxGJOTE8lzLZR5Yv7jcXe3200kEgFI3sxNDAPF43HC4TCapuHz+YhEIpimmfLsnlgshtfr5amnnuKFF16QFa9CbHAS9POIx+PcuHGDY8eO0d/fz6VLl7h8+TI+nw9N01AUhXA4TGdnJ6FQiNbWVi5fushPXnudp7/85+zfu4VyJ9h+k/aJG6RAslxCojyB3+8HoKuriyNHjnDq1ClM06StrY1wOMzRo0f5n//zf/K5z32Obdu2pRz4NpstOaNHCLFxSdDPQ9M0MjMzqaqqIiMjg0gkQkdHx6xxeV3XCYVCaJpGNBpFj0XwZAfYNxUman48eJMwcxFTb28vQ0NDTExM4PP5aGlpISsri5aWFs6ePcuZM2cAGBsbIx6Pc+7cOSYnJ6mvr6ehoWHWl8ZcEj9LtkvXbxunF0JsHPLpn4fH4+Gzn/0sDz/8cHJqY2JoxbIsHA4H7e3tfP/73+fWrVuUlpZy6NBzPPHEU2TmFuB2/XtvPmFiYoJjx47x85//nF//+tcEg0FaWlpobW0lNzcXr9dLTU0NTU1NRKNRjh8/zq1btwDo7u4mGAzKIighxJJJ0M9DVVVycnIWnHaYk5PD22+/zcTEBIWFhWzbvoOystLf/PTjm7Ezb8nG43GuXr1KZ2cnAKWlpeTm5ibr5GRnZ7Nt2zbq6+uJRCI4HA56enro6uqirKwsWVNHFkCtLcMw0DQNu92e0pWSpmnouo7L5Vr2Kmoh7oQE/R2YmJggFouhaRqxWIzpqakZP1Vm/N+PRaNRRkdHcTgc7Ny5k127dlFVVYWmabhcLnJzc6mvr6ekpCS5Stbr9TI5OUlWVhZ1dXUSFGvIsiwMw2B8fJyxsTEKCgpSWn8wNTXFyMgIubm5+P3+lFc2C7FSJOjvgGEYhEIhpqenk2P1czFNk56eHi5fvozdbmfbtm1UV1ezc+dOSktL0TQNVVVxu91kZ2cDH99ILS0tTZYXttvtBAIBCYg1pOs6/f39nD59mgsXLvD000/z4IMPLnrezZs3+eCDDygtLaWuro4tW7bgdrtXocVCfEyC/g64XC7KysqIx+OUl5eTmZk553GGYXD+/Hmam5vxeDxs3ryZvXv3smnTpgU/8B6Ph9LS0nl/PhfLsjBNM7mrlIzprxxd1xkdHeXixYv86le/oqGhIaWg7+/v5+TJk8nfd1VVlQS9WFUS9HegqKiIr33ta8RiMZxO57xbABqGQUtLC83NzezevZvy8nIqKytxuVwr2p5EyIfDYaampohEIui6LmG/glRVTU5bTXUYTVXV5Hi+DL2JtSBBfwdcLtecO0LNN7zidDqTN3hXOuTh4+Ge7OxsHnroIfx+PwcOHKCoqEjCZYUkboTbbDZsNlvK7+snz5HhN7HaJOhX2FwfYpvNlhyXLSsrW/bWg4txOByUlpbyJ3/yJxiGkexFSvVKITY2CfpVYLPZ2L17N7W1tfj9/rtaKTJxU1cIIRIk6FeBqqps3rx5rZshhNigZPBWCCHSnAS9EEKkOQl6IYRIczJGf5etxhx2ma4nhFiI9OjvotVaqLTeFkTJF89s98r7ca+0Uyyd9Ojvoo34wVEUBYfDgc/nS7v5+263m4yMjCVXoUxsMuNyufB4PPh8vrvYyuXz+Xw4nU4pupaGJOjFirEsC03TGBoa4vLlyxQXF+NwONKi5o7dbicUCtHR0UFfXx/xeDyl1xSNRhkaGmJ0dBSXy8XNmzcJBALk5OQQj8dXoeWp8Xq93Lp1i76+vmRF1nv9dyb+nQS9WDGWZREOh/nggw/41re+hdfrTfYM7/XQUFUVTdOYnp5maGgI0zRn7TY2l8nJSc6ePcuxY8c4c+YMbrebCxcu8Oabb+JyuTAMY5Vavzi73c7U1BQtLS1UVFSwe/fuRV+fuHdI0IsVk52dzac//Wm6u7tv2yTlXg76xOvQNA3TNHG5XMTj8UWHNxKrlN1ud3Loxuv1kpmZue6CPlF4rb6+nq1bt7Jz505yc3PXullihUjQixVTUFDAV7/6VaamptKukJrdbiccDtPd3c1HH33ElStXFg16n8/H9u3baWlp4cqVKxQUFLB9+3Z27txJVlbWvPsXrAVVVYnH40xMTFBeXs6BAwfS7ne4kUnQixXjdrupq6tL7rGbTux2O8FgEI/HQ3t7Ozdu3Fg06BVFISsri9zcXAKBAEVFRVRWVrJt2zYCgcC6GqOHjzfI0TSNjIwMCfk0I0EvVozNZpt385V04PV6mZiYWHIQJoZvfD4ffr+fgoICPB7PXWypELPJ17YQKUrcgF3qLKLEsYlz0+1qR6x/EvRCpGi500RnnpcOU03FvUeCXggh0pwEvRBCpDm5GfsbkUiEaDSaHEeFj2dN2O12vF4vDodjjVsohBDLI0H/G2+88Qavvvoq/f39hMNhVFXF5/NRV1fHn/zJn7B3795Zxy91nPWTU/E+ef5cU/VSOUYIIRazoYPeMIxkXZbDhw9z7tw5PB5Pcs/Vvr4+xsbGqKysxDRNamtryc7OTq6UTCXsE+Eci8UwTRNVVbHZbLMKfiUeyzCMZI0Rl8uFzWab9RyWBZL1aydxI9UwDAzDSHn2zCfPkZuxYrVt2KA3DIPJyUnefvttXn75ZVRV5bnnnuPLX/4yu3fvJhqNcvjwYX784x/zyiuv8MEHH/CXf/mX7Nu3D6/Xm3ycVHvZw8PDhEIhMjMzycrKuq2CoWEYhEIhhoaGiMfjVFZWkpGRMevxJR/W3sywTzWwE1MqJeTFWtmwQa9pGm1tbVy4cIFr167x+OOP8/zzz7N3795kXZKDBw8SCoVoa2ujvb2d69evU15eTlVV1ZKea3p6mtOnTzMwMMCWLVuora29Leinpqbo7Ozk7NmzhMNhXnzxRTIyMmYdoyg6w8PdvPPOCXp6+olGI8TjcQzDmPMLxzRN7HY7mZmZ3H///ezfvx+Xy7X0N0sAHy8I8/v9bN26lXA4TElJSUrnFRYWsnv3boqLiykpKZH7PWLVbdig13WdoaEhNE1j69atPP7443z605+e9SEsKiriySef5OjRo1y4cIGenh4GBweXFPRTU1O0tbVx9uxZRkZG8Pl8lJaWJn9ummayhsqFCxc4f/48qqoSiUQ+8UgWoNHbe4X/9b9e5uTJc5imDpAcBvpkb9E0TZxOJyUlJaiqSmNj44YKetM0k0Mm8/WkLcvCZrNht9tRVXXBKzS73U5ubi579+6ltLSU6urqlNpRVlbGQw89hN/vJz8/X4JerLoNG/Rut5vdu3dTVFTEiy++yObNm5Nj8zNlZmbidDqTtdZ1XV/S8xw/fpy33nqLQCDAwYMH2bdv36ygj8ViXLlyhY8++ohLly6xa9cuDh48OOuYmUzTIB6PkZubS13dFh577DEaGhqSlRVnsiwLVVXxer1s3bp1zteXztrb23n33Xc5ceIEHR0dyWGXmeeLKH4AACAASURBVBU1I5EIu3fv5otf/CLbt28nJydn3sdTFAWv10tZWRkFBQUpv595eXlkZGTgcDhwOp2zyifMbM+dWKnHEelpQwa9ZVnY7XZKS0vnDVSAYDBIc3MzAwMDAPj9/iXXcrl58yYffPABL774Ig0NDdTU1Mz6oGuaxsDAAG1tbXR2dvL888+zc+fOZDtnf3gVFEXF6XRSVFTEvn37+P3f/31qamqW1KaNoq2tjTfffJOzZ88yPj5OTk4OTqcz+YWYqJ9fWFhIOBxetGywoijYbDa8Xi9erxfTNBkeHqa1tRWv18vOnTvn3FVrcnKS7u5usrOzCQQCZGdnJ49TFAXTNInH44yPjyevMhPtm0vi391uN1lZWeTn5982zCfETBsy6FPt+Zw+fZq///u/5/Tp0xQWFlJbW7vgF8NcHA5HsoBV4orA6XTOaovNZsPhcOBwOGZdMSzUzkQ4BIPBJbVno9A0jVu3btHR0UFTUxOPPPIIn/rUp8jLy0tWjUz08D0eD4FAYMlXPOFwmObmZr75zW9SWVnJyy+/nLxRP/NL+uTJk/zDP/wDe/bs4ZFHHmH37t2zbujruk53dzdvvPEG//f//l+Gh4ex2WzJIadP/h2Ypomu69TU1PDoo4/yB3/wB+zevftO3i6R5jZk0M9H0zSuXr1KW1sb3d3dvP/++8nhlMcee4w9e/aQl5e36OPM/HDa7XZ0XU+G/CeHVxIBDx8P46Q6NJQIKSmQdTvTNAkGg4yOjjI+Pk5RUREHDhxgz549K/L48Xic4eFhzp8/z8WLFykvL2fHjh23TZmdmJjg3LlzXLp0KVmm2O/339brN02TaDRKV1cX169fx+VysX//fvx+Py6X67bfcWIGT0lJCVu2bEnriqFiZUjQzxCLxTh27Bg//elP+fDDD5PTHF944QU+//nPz9pxZ6FpcjN7YIZhJDeHnmvT5cQXgKIouN1u7Hb5ldwpwzAIBoOEQiEMw8Dr9eLxeIhGoytyn2JqaoqrV6/y+uuvMzw8zF/+5V9y4MCB245rb2/n29/+NiUlJfz2b/82jY2NFBUV3XbczKs6RVF4/vnn+Yu/+Au2bdsmQzJiRUiqzOByufjUpz5FUVERn//854lEIsRiMS5cuEBLSwu7du2iqamJHTt2LLpgqru7m5///Of09vby7LPP0tTURHl5eTLILcuis7OTq1evcunSJXJycvjCF76QHJ9fjM1mS47RitlmBr1pmuTk5FBaWrpiN6NN0yQWizE9PU0kEpn3d6BpGmNjY+Tl5eHz+WYN1yzE4XDg9Xol5MWKkaCfweFw0NjYSGNjY/Lf2traeOmll3j//fdpaWnBNE3q6uoWnSLX3d3Nj370I7Zs2cIXvvAFGhoayM/PT/5cURS6urq4cOECbW1t7Nq1i2effXbBWR+/ORNFUYhGowwODnL58mXcbjfxeHzWTUZFUZJlHAKBwIa6UtB1nYmJCaLRKHa7nWg0Sm9vL+Pj46iqmnx/XC4Xubm5S94EJPHeJq7O5ruJmzgmMcSW6mIpTdMIh8OEQiEJe7EiNs6nf4alTEUrLS3lxRdfxOFwcOLECc6cOcNjjz1GRUXFgmGvaRoTExPouk5GRsacvUlFUdB1HcMwcLlcKYT8v2/i3NfXx7/+679y5MgRPB7PrDrnMxdKPf3003z961+nrKwspdebDjRNY3h4GMMwyMjI4Ny5c9y8eZOLFy8yNjaG0+nE5XKxfft2/vzP/5wHH3xwSVMTE/dVDMMgFovNCvqZf1tOpzN5f2YpK2mFWGkbMugVRSEej3Pz5k3Gx8dRFIWKioo5Z9R4PB527txJR0cH7777LsPDwwSDQTRNWzDobTZbcuzd4/EkV8L29vYyNTXF2NgYp06d4saNGwwMDNDZ2UlrayubNm1aZFGThWUlLu/dFBYW4vf75wx6r9dLXl7ehurNA0Sj0eSMm+HhYSoqKpLz3/Py8lAUhe7ubi5dusSrr77K8PAwDzzwAPn5+QtuEWiaJpFIhK6uLnp7eykoKKCkpGTWKmdFUTAMg+HhYW7cuEFVVVWyRlKqvwe73Y7b7U55qEeIxWysBJghGAzyxhtvcPLkSSzL4nd/93f5rd/6rds+6KZp4na7yczMxOVyYbfb57yp+kmJxUpAMvCDwSAffvgh58+f5+bNm/T19TE6Osr09DS6rpOVlcVzzz3H9u3b531c07TQdZ3i4mIeeuhBvvSlL/HAAw8ki6Z9UuIm30aiaRqDg4N0dnYyMTHBli1b+KM/+iNqamrw+/3EYjFee+01Xn31VX7wgx9w8uRJvvGNb3BfUxO5C8yqisVitLW1cebMGS5fvszWrVvZu3fvrCG5xHH//M//zPXr13nggQdobGyktLQ05VXJiRW9uq5vuN+duDs2bNAnetrhcJgbN25w//33E41Gb+tFqapKb28v7e3taJqGx+NJrnKcS6KGzrFjxxgZGaG1tZXDhw9z7do1LMuiq6sLwzDIzs5mamqKkZERBgYGiMVi5OXlsW/fvgWD/uNSCFZy4U5iuudGKm2wGL/fz5NPPklFRQUTExM0NTWxdevW5DREl8vFo48+mlysFpye5r1338Wbk8MDeXnM907qus7IyAhdXV309fXR1NTErl27bvubsdlsXLp0iZ6eHg4dOkRDQ0NK90kSM7OOHz9ONBpNLvCaebWW6BBs3bqVAwcOsG/fvjt+v0T627BB73K5qK+v5/Lly5w7d45bt27R3t5OTU3NrPH0UCjEmTNnuHDhAj6fj5KSkgUvwxNVL9955x1M02RsbIyPPvqI5uZm/H4/RUVF1NTU4HK5aGtrw2azMTAwkKx5k1gVuRhZMDW/rKwsHn74YR5++OF5jykqKuKZZ57h6tWrHPv1rzl16hQVO3ey84EHcDD31muJ39Hk5CTT09NkZGQkb5bquk48Hsfr9TI6OkpnZycjIyPYbLbkleBibDZbsmMxMjIyZznsWCxGYWEhBw8eTK6OFmIxGzrod+3axZUrV/jXf/1Xjh8/Tl5eHl/72tdmjdW3trby+uuvc/bsWV544QUeeOCB5HS6uW7qWpbFsWPHuHbtGo2NjeTn55OZmYlpmmRnZ1NfX8/WrVvJzc2ltraW4uJi8vLyMAyDuro6CgsLV/V92MhcLhd+vx+Hw8HAwADDU1OEgCzmDnq73Y7D4UgWQJu5wrmrq4sTJ04AH5c8GBwcZHp6ml//+tfJ2VxzLZaaKVGJ9IEHHuB3fud3kqWqZ97sTRSqCwQCFBcXr9A7IdLdhg16m81Gfn4++/fv59ChQ1y/fp0TJ04QCASor6/HsixGR0dpa2vDsiwOHDjAU089RWNj45y9s0Svq6uri6mpKfLy8njssccoLi5GVVXi8Xgy6CsrK3G73WRkZJCZmUlJSQmGYZCfny8f3jukaRqjo6O0t7fjcrkoLS0lJydn3qEtl8uFTVUJh8OE43HiwHxrjScnJxkdHWVycpJwOEx/fz/j4+OEQiGuXr3KmTNn0HWdaDTK9PQ0IyMjHDlyhIyMDEpKSpILt+aTWPFaXV3Nk08+SV1dXUqvWQqaicVs2KBPaGpqora2lh/96Ee8+uqrfOMb32BiYiI5Bl9SUsIf//Ef8/zzz1NWVnZbHfkETdNobm7m9OnTVFZWcv/993Po0KHkIqnEhzFxMxfA5/OxdevWZFGyxNRJsTyJ0gfHjh3jb/7mbygsLOQLX/gCjzzyyLzTSxPz29XfDJMAfDIyLctibGyMtrY2Ll++THt7e7IEgsvlIhaLMTAwkCwtHY/HURSFUCj08ZBQRQUPP/xwynWSEouxwuFwSjNvJOTFYjZ8qiR69o899hgOh4ObN28yOTmZ3PKvsLBwzt7VJ+dEx+Nx3nnnHY4cOcJTTz3Fww8/TFVV1YKrMRVFmVXrRtyZxA32RPh2dnZy4cIFduzYMWfQK4pCOBzGBAqLiynLziYfcM5xXF9fH5cuXeLcuXMMDAzg8Xjo6upC0zRUVaWoqIgnnniC7OxshoeHmZ6eJhaLEQ6H8fl8S/4Cn3kDVog7teGDPmHbtm1s27Zt2efH43HOnj3L8ePH+dM//dNVu0kmYfDvEvWCqqqquP/++2lpaaGlpYWuri527tx5W893aGiIgYEBVFVl586d1JeVkT3H4xqGQX9/P21tbfT19eF0Oqmvrwc+rnuTGCJ64YUXksN0k5OTZGRkoOs6u3btIicnR67WxJqRv7wVoqoqOTk5FBUVLXlJfeosdF1jcnKKiYlwsmiXmK2oqIjHH3+cnp4ejh49Sm1tLTU1NclwBmhubua1117j/fffp7i4mBdeeIE9c5T6tSyLqakpgsEgTqeTHTt2UF9fzzPPPIPNZiMWi2Gz2SgoKEium3A6nTzzzDMcOHAA0zQJBAIUFBTMunkrxGqSoF8hTqeTAwcO4Ha7b1tAs3JUsrLyOHDgAMFglLq6OilROwe/309TUxPXrl2jtbWV1tZWXnvtNZqamigqKiIcDnPkyBFOnTpFIBCgqamJpqYmAoHAbY81OjpKa2sr/f39+Hw+HnnkEfbv3z9v/ffEvZhNmzaxadOmu/1ShUiJBP0KcbvdfP7zn+fQoUNkZ881AHCnFMBJVdU+vvnNGkzTwu12z3tzeCNzOByUl5fzla98hb179/L//t//41vf+haqqmKaJqqqkpeXx549e/j6179OU1PTvF+Y7e3t/OpXv0qWUnjiiScW3DNYboyK9UiCfoWoqnqXAv7fWZaC0+mhqMjziX+X6XWfZLPZKC0tJSsri+HhYfx+f3JBms1mo6ysjD179tDU1ITf75/3ccLhcPLmqqIoKW08s1SJ6paxWCy5j60UQRMrSYL+HjJflkvIzy8zM5M//MM/5A//8A+Xdb7H4yEvLw+n04nX601uQ7iSEmWP3W43qqri8XhSqqckRKok6IVYQHV1NZ/97GeJx+NkZWXdlaEyu92e3IWqoaGByspKqqqqpH6RWDES9EIsID8//7ab6ys5VJaocur3+9m/fz/79+9fkccVYqb5i28LIeYkQyriXiNBv0zyYRdC3Csk6O+AhL0Q4l4gQS+EEGlObsaukkSVRPh4zn0qVwOmaaLrOjabbcE65kIIsRAJ+lWQqG0fjUZxuVyzdiZayPT0NLdu3SIvLy/lErfi3iLDf2I1yNDNKjAMg9bWVk6fPk1bWxvj4+Mpndfb28vPfvYzLl68eJdbKIRIZxL0q8AwDM6cOcMvf/lLLl68yPDwcErn3bx5k//9v/8377///l1uoRAinUnQrwLLsgiFQskt6FLdADwWizE+Ps709PRdbqEQIp1J0K8CRVFwOp24XC4cDkeybvlibDYbDodDlsILIe6IBL0QQqQ5CXohhEhzEvRCCJHmJOiFECLNSdALIUSak6AXQog0t66CXlXVtKzpYrPZUFU1WeMm1WXvifdClskLcW9LbA25Vp/ldRH0iT0zHQ4HmZmZa92cFWe323G5XCntAzpzQ2i32w2A0+m8q+0TQtxdXq83uYZmLcJ+zYuamaZJLBZjcnKSnp4e/s//+T/k5eURjUbXumkrwul0EgqFOHr0KNPT01RVVaHr+rzHK4pCOBympaWFX/ziF1iWxdmzZ3nllVcA7srm1EKIuyMxSnHu3DmuXr2K3W4nGo3O6tCthnUR9JFIhJGREc6dO8eJEyfScqjCsizKysrYvn37omE9NjbGd77zHd566y1M0+TIkSO88847q9RSIcRKsywLh8NBIBAgHA5jmuaqPv+aB72qqrjdbnJyctixYwfPPPMMOTk5adNzTXyDf/DBB+i6jt/vx25f+G3Pzs7mi1/8Ig6Hg1deeYWmpiaef/55gAWvBoQQ64uiKNhsNq5cucLVq1cpKCjA7Xavemd23QR9IBCgtraWb3zjG2lZ2+Xv/u7vuHjxIoFAYNEx98zMTJ555hkUReHVV1/l4MGDvPTSS6vUUiHESjt+/Dg//OEPKSoqwuv1plzvaqWsi5uxlmVhWRaGYaRNT36mxGubuctUKhK999W+zBNCrCxd1zEMI5l1q21dBD2Q1kEfj8fRdT0Z9Kn+ohPljA3DuJvNE0LcZfF4fMkdvZW0boJeCCHE3SFBL4QQaU6CXggh0pwEvRBCpDkJeiGESHMS9EIIkeYk6FdBYupo4j+pTrEyTRNN02Q1rBDijkjQr4LEMmiHw4Hdbk95VZzNZsPlcuFwOO5yC4UQ6WzNSyBsBIqiUFpaimmabN68mUAgkNJ5BQUFPPHEE2zduvUut1AIkc4k6FeBzWajtraWgoICKioqUg76kpISXnjhBRoaGu5yC4UQ6UyCfhWoqkpDQwOmaSaHb1JRUlLC5z73ueQGJEIIsRwS9KtAURS8Xu+SzrEsC6fTmXLvXwgh5iM3Y9epdNx8RQixNiTohRAizUnQCyFEmpOgF0KINCdBL4QQaU6CXggh0pwEvRBCpDkJeiGESHMS9EIIkeYk6IUQIs1J0AshRJqToBdCiDQnQS+EEGlOgl4IIdKcBL0QQqQ5CXohhEhzEvRCCJHmJOiFECLNyVaCYkPo6Ojg9ddfxzRN9u3bR11dHYWFhWvdLCFWhQS92BD6+vr4x3/8RwzDQFEUCgoKJOjFhiFBLzYEVVVxOp0YhoHNZpM9ecWGIkEvNgSPx4PL5cIwDNxuNx6PZ62bJMSqkZuxYkOwLGvO/xZiI5AevUgbpmkyNjZGc3Mzhw8fZmxsDJfLBcDg4CCtra1YlsWrr77K8ePHCQQC6LpORkYG5eXl3H///ezZswdVvb3/E4lEmJycZGBggKysLKqrq1f75QmxbBL0Im1YlsXU1BTNzc388Ic/ZGBgAIfDkfyZYRgADA0NceLECQA0TSM/P5/du3eTn5/Prl27bgt6y7KYmJigra2NCxcuUF1dTVVVlYzzi3uGBL1IG6qqUlhYyKFDh9iyZQuRSASbzQbA9evX+eEPf4hpmjz00EPs2rWLiooKDMPA4XCQnZ1NRUVF8viZLMtiYGCAa9eucf36dTIyMlb7pQlxRyToRdpQFIWMjAyqq6tvG1q5evUqv/jFLzAMg6amJp577rklTa8MBoOMjo4yPj5OJBJZVvt0XWd8fJxbt24RDAZn3ScwTZPMzExKSkrIzc3F6/Uu6zmEmIsEvdgQpqen0XUdwzCIRCJMTU0tKehVVcVut2Oz2eYcw1+MZVmEQiE++ugjvvWtb3Hx4kVM00yGfSQSYd++fXzpS1/iySefZMuWLUt+DiHmI0EvNgRN0wiFQui6TiwWQ9f1JZ2fGI+/k3F5h8NBaWkpjz/+OLW1tViWlQz6eDxOdXU1tbW1ZGZmLvs5hJiLBL3YEOx2O9nZ2cl59HONxd9NiqLg9XrZs2cPe/bsWdXnFkKCXmwINTU1/Lf/9t+wLIuKigopfyA2FAl6sSHk5uby6KOP3tXnSAzDyLRLsd7IylghVoCmaQSDQeLx+Fo3RYjbSNALsQJu3rzJ9773PT766KO1booQt5GgF2IFXLp0iZdeeom33357rZsixG0k6IVYAbquo2kasVhsrZsixG3WPOhnrg5UFGVZi1GEuJtUVU3+Z74brXa7HbvdjtvtXuXWiXvBWu+BsG5SVVVVXC4XWVlZa90UIW7j8/mS8+/n+sAmFj8lqmUKMVNGRgZOp3PNOrJrPr1SVVUMw2BsbIyuri6+//3vU1BQsOx6IkKsJLvdjqZptLa2cvPmTUZGRuYcnkmURzh16hT/8i//gmVZMgNHYLPZsNvtfPjhhzQ3N7Nnzx5M01z1dqx50NvtdlRVZXx8nHPnznHq1CkZvhHrjmEYuFwuSktLefDBB7Esa1bP3ul04nQ6+cUvfsGvfvWrNWypWI8SJbI3bdq0Jvm25kGfkZFBfX09f/qnf0pbWxuGYWCapiw6EeuCzWZD13V6enoYGhoiHo/jdrtv+/vUdR1d19m5cyef+cxnsCxryfV0RHrLyMigsbGRhoaGVb+Xs+ZB73a72bx5M5s3b17rpggxr3PnznH8+HHOnz8/Zz36eDyOpml85jOf4a/+6q/WoIVCzE/GSIRIgWmaKY2trsX4qxCLkaAXYhGmaRKPx9F1fVYN+ZkSQzkyXCPWIwl6IVbAXOEvxHohQS/ECjAMA8Mw0DRtrZsixG0k6IVYAR6Ph0AgILtDiXVpzWfdCJEOdu3axd/+7d+yffv2tW6KELeRoBdiBWzatIk/+IM/kMV+Yl2SoBdiBSSKngmxHslfphBCpDkJeiGESHMS9EKkIDF1MrFwSoh7iQS9EClwu91kZWWRnZ2N1+td6+YIsSRyM1aIRSiKQmlpKY2NjbhcLiorK9e6SUIsiQS9EItQFIWcnBxqamrIzMwkKytLymiLe4piSZEOIRaV2CowseGITKUU9xIJeiGESHPSLRFCiDQnQS+EEGlOgl4IIdKcBL0QQqQ5CXohhEhzEvRCCJHmJOiFuEMyQ1msd7IyVqSFeDxOMBhkamoKu91OQUEBTqdzwXN0Xaenp4eJiQk0TcM0TVRVxeFw4Pf7KSsrw25f/COiKAqapjE5Ocno6CjRaJSioiJycnJwOByLrqK1LAtN0xgdHWVwcJDs7GwKCgrweDyyMEusCAl6kRZ6e3v56KOP+OCDDwgEAvzH//gfKSkpWfCcwcFBvv3tb/PLX/6SiYkJotEobrcbv9/PU089xUsvvbToYySMjo7y3nvv8corr9Da2sqf/dmf8fzzz1NcXLzol4Wu6/T19fHjH/+Y7373uzz99NN89atfpa6uTgqoiRUhQS/uOYkyBAnhcJjjx4/zk5/8hN7eXnbv3k08Hp/3fMMwOH/+PO+++y7Nzc243W4efPBB3G430WiUmzdvcunSJf7xH/+RT3/60+zatQubzbZgm5xOJ36/n3A4zI0bNzhz5gx1dXUUFBQsGvSapnHt2jXOnDnDrVu3mJycxO12S29erBgJenHPmRnywWCQ5uZm/u3f/o0333yT6upqAoHAgsE8MTHBP//zP/PTn/6Uuro6vvCFL/DlL385GfTf//73eeONN/jud7/L8PAwVVVVBAKBBdsUCAS4//77eeihh+js7KS7u5vm5mYOHDiAy+Va8NxoNMrFixcZGhpi8+bN7Nq1i02bNuF2u5f2xggxDwl6cc86ceIE77zzDkeOHOHkyZPJf19oTHxiYoJLly7R1taGoig8/vjjPPHEE8lQdbvdPPnkk4RCIa5fv05bWxuXLl1i165d+P3+BduTnZ1NZWUlZWVlDAwMcO3aNUKhEJmZmQueNzU1xeXLl4lEIjz88MM0NjaSkZGxhHdCiIXJtaG455imyY0bN3j99dd5/fXXaWlpwbIs/H4/GRkZmKY577mDg4OcOXOGsbExiouLaWpqYvPmzbOOqamp4b777qOkpISxsTHOnDnD0NBQSm2rqqpix44dxONx2tvb6enpWXAYKRaL0d3dTXt7O6qq8uCDD7Jly5bU3gghUiRBL+4577zzDn/7t3/Lq6++it1u59vf/jb/43/8Dx555BECgQCaps075bG/v5+LFy8Si8UoKSnB4/HMeZzH46GkpIRoNMqFCxfo7+9PqW319fU8/vjj+P1+ent7OXPmDF1dXfMe39HRwblz5xgYGMDlciWHnoRYSRL04p7jdrspLS3l4MGDfO5zn+P5559n//79FBYW4nQ6F+zRRyIRJiYmcDgc5OfnLxj0eXl5OBwOJiYmiEQiKbWtoKCAuro6ysrKMAyDy5cvc+vWrTmPNU2TtrY2rly5gtfrpbq6msrKSrKyslJ6LiFSJWP04p7zwAMPcN9992GaJk6nE0VRiMfjRKNRDMNY8FxFUbDb7WRkZJCZmblg0GdlZZGRkYHD4Uh5BoyiKPj9fmpqahgYGKC1tZWOjg7i8fht8/pjsRhtbW3cunWLmpoa9u7dS3FxsexeJVac9OjFPcdms+FwOHC5XMlQTPz3QqtUTdNkenqaoaEhIpEIdrt93gBXVRWbzUYkEmFoaIjp6ekFrxRm8vl8bN26laKiIrq6uujo6GBycnJW2yzLYmJigps3b9LX18eWLVvYvn37oou8hFgOCXqRFhIhulBvWNd1QqEQo6OjhMPh5NaACz1eOBxmdHSUYDCIrusptcXlclFXV0d1dTVTU1P09PQwMDBANBpNHhOJRBgYGKCnp4dgMEhNTQ2bN2+WcgrirpCgFxuGZVmYpplyz3zmOUsJYJvNRkNDA42Njfh8PsbGxrh58ybT09PJY6anp5M9fY/HQ3FxMfn5+TJsI+4KCXqxYdhstuTY+2KLmBJcLheZmZlLWqmqqio5OTlUV1dTXl5ONBrlypUrjI2NJY/p6uri5MmTqKrK9u3bKS0tnTUUJcRKkqAXG4bdbic7O5vi4mJ8Pt+ivXTLsvD5fBQXF5OdnZ1SgbOZ8vLyaGhoQFVVLl26lJyLbxgGLS0tHD58mEAgwLPPPktZWdmyX5cQi5GgFxuKqqooikIsFiMUChGLxeY8LhqNEgwGAfD7/fh8viU/l9/vZ8+ePXi9Xq5evcrAwACxWIyRkRF6e3vp6+sjLy+P7du3L+vxhUiVBL3YUGw2G06nk0gkwtjYGKFQaM7jEjdtDcMgJydnWSUJMjMz2bVrF4WFhYyMjNDT00NnZyft7e2MjIzgcDgoKiqitLQUh8Nxpy9NiHnJPHqxoRQWFtLQ0MDg4CB9fX1omjbncZqmJVfDlpSULCvoPR4P1dXV1NXVcfbsWVpbW/nFL35BPB5nZGSE4uJiysrKyM3NXfKwkBBLIX9dYkMpLCxkz549nDt3jo6ODlpbW6mpqSE3Nzd5zMjICK2trQwODlJdXc3WrVsXLWg2F0VRyM7Opra2li1btjA4OMjw8DCGYaCqKrt376a6ulrmzou7ToZuxIaSn5/Pvn37KCsrY3x8nDfffJN333131jFHjx7lrbfeYnx8nPLycg4cZyAQswAAAg9JREFUOEBeXt6yn7O0tJRt27ZhmiZXr17l1KlTmKbJU089JQXMxKqQHr1IC7quE41GCYfDxGKxeWfUqKpKUVERzz77LABXrlzhH/7hH7hx4wbZ2dlMTk5y/PhxpqameP7553nmmWcoLCxcdOORhZSVlbFnzx5Onz5NV1cX4XAYp9NJXV3dHX2BCJEqCXqRFux2Ox6PB6/Xi9vtXnA+usPh4LOf/Sy1tbX89//+3zl8+DBvv/12cucqn8/H008/zX/6T/+J+vr6O25bfn4+O3fupLCwMFljp7S0NKV9bYVYCYola65FGujt7aWjo4NQKITf72f79u2L3kCNRqN89NFHtLe3E4lE0HU9+YVRXV3N/fffn/LCqsXE43HOnj3LrVu3UFWV6upqGhsbJejFqpCgF0KINCc3Y4UQIs1J0AshRJqToBdCiDQnQS+EEGlOgl4IIdKcBL0QQqwDS90UZylkwZQQQqyxeDzOxYsXsdvt7NixY8WL3EnQCyHEGguF/n97d2zDIAyEYfRqT8AGzMC+noItGIANoLLS2E2q9IlEBDq9N8RX/MXdK2qtUUqJeZ6FHiCbfd9jXdeYpunrJ/S/sNED3Ki1FsdxRO/9bz+DnUAAuNEYI87zjG3bopQSy7JcPt0IPcDDfC6pXsV0A/AwV084Qg+QnNADJCf0AMkJPUByQg+QnNADJCf0AMm9AXacM+mgTWvMAAAAAElFTkSuQmCC)
physics-General
physics-
The variation of electric potential with distance from a fixed point is shown in figure. What is the value of electric field at
=2 m.
![](data:image/png;base64,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)
The variation of electric potential with distance from a fixed point is shown in figure. What is the value of electric field at
=2 m.
![](data:image/png;base64,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)
physics-General
Maths-
The integrating factor of the differential equation
is given by
The integrating factor of the differential equation
is given by
Maths-General
physics-
As shown in figure, if the point
is earthed and the point
is given a potential of 2000 V, then the potential at point
will be
![](data:image/png;base64,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)
As shown in figure, if the point
is earthed and the point
is given a potential of 2000 V, then the potential at point
will be
![](data:image/png;base64,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)
physics-General