Physics-
General
Easy
Question
For a prism PQR the incident and emergent rays are parallel. The minimum value of refractive index of the prism material is
![](data:image/png;base64,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)
- 1) 5
- 2
The correct answer is: ![square root of 2](data:image/png;base64,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)
Related Questions to study
physics-
When the prism is in the minimum deviation position (Figure). Choose the correct one.
![](data:image/png;base64,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)
When the prism is in the minimum deviation position (Figure). Choose the correct one.
![](data:image/png;base64,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)
physics-General
physics-
Figure shows a cross - section of light pipe made of glass fibre of refractive index 1.68. The outer coating of the pipe is made of a material of refractive index 1.44. What is the range of angles of the incident rays with the axis of the pipe for which total internal reflection inside the pipe takes place ?
![](data:image/png;base64,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)
Figure shows a cross - section of light pipe made of glass fibre of refractive index 1.68. The outer coating of the pipe is made of a material of refractive index 1.44. What is the range of angles of the incident rays with the axis of the pipe for which total internal reflection inside the pipe takes place ?
![](data:image/png;base64,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)
physics-General
physics-
A vessel contains a slab of glass 8cm thick and of refractive index 1.6 over the slab, the vessel is filled by oil of refractive index m upto height 4.5 cm and also by another liquid i.e., water of refractive index
and height 6cm as shown in figure. An observer looking down from above, observes that, a mark at the bottom of the glass slab appears to be raised up to position 6cm from the bottom of the slab. The refractive index of the oil is
![](data:image/png;base64,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)
A vessel contains a slab of glass 8cm thick and of refractive index 1.6 over the slab, the vessel is filled by oil of refractive index m upto height 4.5 cm and also by another liquid i.e., water of refractive index
and height 6cm as shown in figure. An observer looking down from above, observes that, a mark at the bottom of the glass slab appears to be raised up to position 6cm from the bottom of the slab. The refractive index of the oil is
![](data:image/png;base64,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)
physics-General
physics-
In the Figure, AB and BK represent incident and reflected rays. If angle BCF = 35º. Then
. will be equal to ____ degrees
![](data:image/png;base64,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)
In the Figure, AB and BK represent incident and reflected rays. If angle BCF = 35º. Then
. will be equal to ____ degrees
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAK8AAACaCAYAAADfJRhrAAAJ10lEQVR4nO2d3UsbaRuHfy77P9SNB9q4aAWp5/LugUh0g9LdA6E5kS0IUmnfd92sR4IrbsEjSWW/4gYKW3qSggettIjOBg+2eB4RykozetLifzHvQTKajJNkMpl5PmZ+FwTq5GMGeuXO/TzPPffTY1mWBUI05DPZF0CIXygv0RbKS7SF8hJtobxEWygv0RbKS7SF8hJtobxEWygv0RYN5TWwkujFQF/tkc7jHCYK6fq/SRzo0bW2oZTtxQJe4CKXqv09jcrjAywmJV8YEYaGkdcFYxn7aYobN/SX18xjdn8GWynZF0JEo7e877cw+wj4NUdz44je8gJAeQMTWUP2VRAJ6C3vyArevFvHaHEeszum60vsWQkSPfSWFwCSS3jzPIPTJ+NYcQnAFx8vAYACRxD95QWA1DaO1saw+900Ci4BmAJHEw3lrS5SLLwE8HL+alHCPCsDPWVsftWLgcRNiSlw9NB2kcIvtry2zPpiopAex+YJACuDZ5+2MdnqNXfXcbS/hNvCrzM8NIy83aG/tDZJLO5f4tl9AD1F7LtNuJgH2CsDuP8CFxETF4ihvEBV4KikD8mhdayujWE3d7Omo/Tbv7iTAUaHBqVcW9jEUl6bqAg8OPUtRsuvYDTk+Qb2MYO0rIsSQGzljdQALrmEHzJlbP5WlzsYHzD0ONorj7GVF4iWwJPpDFDcqs2ymCjsA6mIFyqJkdfMYzbRpN7WWHbU5opFJ4FbXmPqf1gdK2Pv0ATMA5wNTUdugOZEjLzJJbz5dImLvzLAyQb+W7+Um9rGxT/rmFs7ljYi1mEGov2XK4nUN2M4/fkXFA6B9MOIh10ITxuGsbrmspSb/BJDYi/ElatfAEWjsNuXzDx7hUotFtx+uII5FLF59mXDnO/pWUXMBQpGfM47ZS/lLqMk/OTeUUlk92uo3vq08LK6qlgNBimkM8BcOlX3PBpWIqPE5zJOevthHquvx7GQHlZm1Uf1ud+bUbe6SLHoODqZu6xFXffno4Sk2YYkFn9fx2jZkf8qQL0kFx8vpefDKn+hZCNvqswuZfx5ybUSTCaqzUDI/gKpitx53tQ2nmXK2PxqHnt1h+vzTVkCqSDwQF8vxW2BUHnPK6/gHPhO5l5gzlHXZv9c1wskQiKnKBRHbYTJW8r2YuJJGbsPeh237KSw9W4dd5q8T4bETmSdk1+e1mhXz1svkqj/XNE1wNGpOQ4X7eS1ES2xSKEYdb2hrbw2IiUWITCjrne0l9dGlMRhRkWK2xmRkddGhMRhCCwjl9edyNXzipqdCOtzKa53Ihd53Qjj5zjoz2TK0DmxkNcm6J/moISjuP6IXNrQiqBTChWWkONMrCKvk6AicTcDOEZd/8Qq8joJKhKrXgscVWIdeZ10E4n9RNCBRO18PY4nItiaKQxiHXmddBOJfeW/PcDFp2Os3gXm/rIr6Y6xCjbM9gLldcGvxMEM4JJYzGaA4lul7/FTAcrbAj8Se00bWn1Wab8IZGZcuj6SeqTcgKkb9UJ6yW3tAVw7kavPV2ubdx/0Ytd+4v71/nKkOYy8HWJH43aRuNUMhNvx65z3Es8wj4GE2q0BVIDy+sQpsZuQrQRuFZUn05nmPXfJFZS3S7zkxfXHPA3mBocxygnMtkiQt7qnhNvOPaIJ8g7lZhK7zUC0zoVNFB5t4BQZpJn2tkT8IoWxjIEHRaUGJWFWndmfaw/gGgZyZh6z/9nAqXORwhrD6jvupdwO4fKWsstAGljIqdPqCQivxqBZLky6R+xUmZnHU8zgzeCHWhv6pYbookJ9gArXQLwhVN7zw1e4kz4AkoO4N7aBvUMTi3V9ZGVHpLArvOpThzDPExcEDthMGK9HaoOQWiPk1wdKtN10G2CFcY5W5yWdIy7ymgfYKxdx2le8PmaNwASk5b2ybnp0DtwYif0hbMB2vrMMY2q7Lsc1sJKYB55fYkuNSYfQaCancwmZEneGoLTBwO+vhx2701S7eO/GeBnJuQLnZdWOXCNAXhOF9Dx2Txw1qsZypFvOe8VtCVmF5oI6wDspBOAlHWhVhcaGJO6wtkEQXqRrVcTDSHwTyqsIXuSmxI2wGF0hOitirxLnGQrmvCHjp6eD3/cA8ZKYaYOC+OkD4fUOjyhBeRWlc4FNFLLT1X/ezWAgEX2JKW9EKGWXcJbO4+LjJY6ywxjNvIh8JGbOGyJBNKH29hkGVtIf8KiuPrqUnUbl8XVBexTnihl5FcdT+mC8vb5tvkZyCA173kVxmo1TZRrgaQrtZAMTfRsNh0bXTDgKShrQfYaC8mpCW4EdzflK2V48dbykVXWb23HVYdqgEd20Um3XIEXHwR3ljQKpGcyV/8X1prgmKu/HcG/qZsrQrk2VThJTXs1wj74ppDNFPN0xcA7g3PgFmyMrN26d95oW6CIx5dUQN4Enc8e4d7aFib5eTOSGcRRATwzVJeY8b4iEuVtmJ58f1V2LGHk1RvReGKpF4obIq8IFkXjiJ5ozbQiRsNOGuMO0wRcmCunrO3yvHqE3hG5y3tpDeOdNM4/ZROP5z3eWUTDbvzUQLOIbMz9l9X/9h2ValmVZFevPr29Z/V98b/1de74/cUvAeWtU/rB+zFdCOZ8rh99b/Ylb1o+H14f+/uGW1f/FlPWnoMtg5A2M2i4+sjqaJ5ew9VBUT1QDK98VMbp23NAwZjJ3iYvnIw0FQWFCeYNEUkfzUlbw/hXGW+zCfQUPqW1hHZAob2AI7mh+soGJWq65UGz/8iA5r7wHMIJByc2vKW+3XEk0js3yGFbfbYvZP+3uOo7s3YMyIk6oHiyJ7BYF9gmezG0LPd/twREA71ExgUmJ0ZeRl3ROagZzKGPv0GVOzFgWNmVHeYkPUnj00xhOn4xjdqdOYDOP2f0ZcS1rxczIRY3anG6i9mgytxn8PK+38wqjNtd79XDOPYcMl4dDRLUqrKjBtCFEKG24UF6iLZSXaAvlDRnRBeNxgvISbaG8RFsoryCYOgQP5SXaQnmJtlBeoi2UVwDODbJJMFBeoi2UVxCscwgeyisYpg7BQXmJtlBegTB1CBbKS7SF8kqAeW8wUF7BMHUIDsorCUbf7qG8EmD0DQbKKxFG3+6gvJJg9O0eyku0hfJKhqmDfyivRFgq2R2Ul2gL5ZUMo69/KC/RFsqrAIy+/qC8RFsor2Iw+nqH8ioCV9w6h/IqBHPfzqC8isEI7B3KqyiMvu2hvArC6OsNyqso7KjeHspLtIXyKgyjb2sorwZQYHcor+Jw8NYcyqsJjL43obwawOjrDuXVCEbfRiivJjD63qTHsixL9kUQ4gdGXqItlJdoC+Ul2kJ5ibZQXqItlJdoC+Ul2kJ5ibZQXqItlJdoy/8BuVqvopT41uwAAAAASUVORK5CYII=)
physics-General
physics-
Assertion : The net deviation suffered by a light ray incident on a plane mirror as shown in the figure is ![360 degree minus 2 cross times 30 degree equals 300 degree](data:image/png;base64,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)
Reason : A ray of light is incident on a plane mirror at an angle i with the normal to the mirror. It strikes another plane mirror inclined at an angle
with the first mirror. It is given that
The net deviation produced after reflection once from each mirror is
.
A) If both Assertion and Reason are true and Reason is the correct explanation of the Assertion.
B) If both Assertion and Reason are true but Reason is not correct explanation of the Assertion.
C) If Assertion is true but Reason is false.
D) If Assertion is false but Reason is true.
![](data:image/png;base64,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)
Assertion : The net deviation suffered by a light ray incident on a plane mirror as shown in the figure is ![360 degree minus 2 cross times 30 degree equals 300 degree](data:image/png;base64,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)
Reason : A ray of light is incident on a plane mirror at an angle i with the normal to the mirror. It strikes another plane mirror inclined at an angle
with the first mirror. It is given that
The net deviation produced after reflection once from each mirror is
.
A) If both Assertion and Reason are true and Reason is the correct explanation of the Assertion.
B) If both Assertion and Reason are true but Reason is not correct explanation of the Assertion.
C) If Assertion is true but Reason is false.
D) If Assertion is false but Reason is true.
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)
physics-General
physics-
Assertion : In YDSE number of bridge figure or dark fringe can not be unlimited
Reason : In YDSE path difference between the superposing waves can not be more than the distance between the slits.
A) If both Assertion and Reason are true and Reason is the correct explanation of the Assertion.
B) If both Assertion and Reason are true but Reason is not correct explanation of the Assertion.
C) If Assertion is true but Reason is false.
D) If Assertion is false but Reason is true.
![](data:image/png;base64,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)
Assertion : In YDSE number of bridge figure or dark fringe can not be unlimited
Reason : In YDSE path difference between the superposing waves can not be more than the distance between the slits.
A) If both Assertion and Reason are true and Reason is the correct explanation of the Assertion.
B) If both Assertion and Reason are true but Reason is not correct explanation of the Assertion.
C) If Assertion is true but Reason is false.
D) If Assertion is false but Reason is true.
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)
physics-General
physics-
Assertion : A beam of light containing radiations of only two wavelengths is incident on a prism. It is found that radiations of one wavelength come out from the face AC of the prism but radiations of other wavelength does not.
Reason : The condition of total internal reflection is satisfied for one wavelength and not for other.
A) If both Assertion and Reason are true and Reason is the correct explanation of the Assertion.
B) If both Assertion and Reason are true but Reason is not correct explanation of the Assertion.
C) If Assertion is true but Reason is false.
D) If Assertion is false but Reason is true.
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)
Assertion : A beam of light containing radiations of only two wavelengths is incident on a prism. It is found that radiations of one wavelength come out from the face AC of the prism but radiations of other wavelength does not.
Reason : The condition of total internal reflection is satisfied for one wavelength and not for other.
A) If both Assertion and Reason are true and Reason is the correct explanation of the Assertion.
B) If both Assertion and Reason are true but Reason is not correct explanation of the Assertion.
C) If Assertion is true but Reason is false.
D) If Assertion is false but Reason is true.
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)
physics-General
physics-
In an interference arrangement similar to Young's double – slit experiment, the slits
and
are illuminated with coherent microwave sources, each of frequency
The sources are synchronized to have zero phase difference. The slits are separated by a distance
The intensity
is measured as a function of
where
is defined as shown. If
is the maximum intensity, then
for
is given by
![](data:image/png;base64,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)
In an interference arrangement similar to Young's double – slit experiment, the slits
and
are illuminated with coherent microwave sources, each of frequency
The sources are synchronized to have zero phase difference. The slits are separated by a distance
The intensity
is measured as a function of
where
is defined as shown. If
is the maximum intensity, then
for
is given by
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQoAAAExCAYAAACEduynAAAZR0lEQVR4nO3db0hb9/4H8Hd+FJoHLRHig3Rlt1pqa8fYEsYVtaNqxyC6QtPL3b32QafC6p910IheaOBCDAziGM4Il1sthaqDms4HzaX+g7EmhbbmDmyyUWZs3DW9XJs8uL1TfoFlcOH8HrTJT2vM1+bf8STvF8jWc05OPoX53vf7Pd98opIkSQIRUQr/I3cBu43f75e7BKJdh0Hxku7ubng8HrnLINpVGBREJMSgICIhBgURCTEoiEiIQUFEQgwKIhJiUBCREIOCiIQYFEQkxKAgIiEGBREJMSiISIhBQURCDAoiEmJQEJEQg4KIhBgURCTEoCAiIQYFEQkxKIhIiEFBREIMCiISYlAQkRCDgoiEGBREJMSgICIhFb+kmIhE9shdwE6EQiGEQqGs3Eun06GysjIr9yIqFooIitHRUdy9e1d43T//+U/85je/SXlNSUkJJiYmoFars1UeUeGTCsT8/LwEQLp+/XoW7haUHO21EoDnP7XtkmMm+OL4TBbuT6QsBbOY2dXVBQCwWCyIxWIZ3GkWHaoKfI0/IyhJkCQJ0v0/4airBSpVBb5+oyI7BRMpSEEExfDwMPx+PwAgEonAYrGkfa/loc9wFe3480gjjiSOHkHjyBgctbX4wwdHUryaqDApPijW1tZgs9kSC5R6vR7Dw8MIBAIZ3PURHi+/fOwIjr75Jo4yJ6gYyT33yZTZbJYASLdu3Ur8U6fTSSaTKb0bBh1S7Yt1iZlgdmslUipFjygCgQCGh4dhNpuh1+sBPH+qYbVa4XK54HK5Xv2mRy5hzFELPLiKpooTGNoysiAqPorecHX27Fl4vV74fD7EYjGUl5fD7Xajvr4eBoMBsVgMPp8vrUehy7MdaGm6igcA2meCGGnknIOKl2JHFPERg9VqhU6n23L+ypUrCAQCcDgcad3/SOMI7gcdqAVwtakCHbMZFkykZHLPfdLxyy+/SJWVlZJer08cW1lZkQBIbrc7cay1tVVSq9VSOBwW3zTokNodSRYlEmsWDolLFlSsFDmiiEQiiEQiuHLlSsrr7HY71Go1vF6v+KbBH/Eo2fEjH+APtQAe/Ijgi0OzHSqc4OIFFRFFBkVZWRl+/vlnVFdXp7xOp9Ph559/hslkEt5z+fEjPPh6Glt//YP48QGA2jdQAWB56ASarqZZOJFCKTIociH44wPggRktHbMbwmIZsx1NuIpaOMYu4QiAI5fuI+iola9QIhkwKAAAs3iMGUhSEGMmF1pOqKBSqaBSVeCzR+2YCd7HJT70oCKmiE+P5l4jLo08/7cjjSO43zgibzlEuwxHFEQkxKB4SUNDAzweT8pr/vbf3+F3//1bnioikh+DgoiEuEbxigYGBtDb25v4c09Pj4zVEOUHg+IV9fT0MByo6HDqQURCDAoiEmJQEJEQg4KIhBgURCTEoCAiIQYFkYxisRj6+/tx9uxZuUtJiUFBJJPh4WEcP34c6+vruH79utzlpMSgIMozp9OJ8vJyfP/995ifn4fdbkdJSYncZaXEnZlEeTI3NweLxYLKykq43W6UlZXJXdKOMSiIcszr9cJisUCtVuP69euJ76BREgYFUY4EAgFYLBZEIhHY7XbU19fLXVLaGBREWRb/omyv1wu73b6j5s67HRczibIkEomgu7sbNTU1qKurw+LiYkGEBMARBVHG1tbW4HA4cPPmTXR0dGBxcTGtr7HczTiiIEpTLBaDw+FATU0NAGB+fh5ms7ngQgLgiIIoLaOjo/j8889hNBrhdruTfv9tIWFQEL0Cl8sFm80GvV6P2dlZRe2FyASDgmgHPB4PbDYbSkpKFLsXIhMMCqIU/H4/LBYLYrEYrFarovdCZIJBQZREKBSCxWJBIBCA3W6H0WiUuyRZ5eSpx9TU1Ivv7lShpaVl2+vC4TDef/99hMPhXJRB9MrieyEaGhpw5swZ+Hy+og8JIEdBcfr0aTx8+BBarRYffvjhttctLCzgrbfewoEDB7acczqdKC0thUqlQmlpKXp6ehCNRnNRLhHW1tbQ19eHmpoaHDp0CCsrK2hubpa7rF0jZ/soVldXodFo8M4772x7zeTkJBoaGrYcn5qawrlz5/Ds2TMAwLNnz/Dll1/CZDIxLCir4o1jDAYDAGBxcRFms1nmqnafnAXF5OQkysvLsX///qTnw+Ew9u7du2VxKBqN4quvvsLExAQkSYIkSZienoZWq8W3334r/F5Qop3a2DjG5/Ohr6+vIDdLZUNOgiIcDuPevXtobGzEvn37kl5z48YNHDt2bMv5YDCIixcvbhr2NTU1YXR0NBelUhFyuVyKaxwjt6wExczMDKqqqqBSqdDe3o67d+9ifX0dp06dSnp9NBrFd999l/S8wWDAyZMntxxfWlrC4cOHU05liFLxeDwwGAwYGxuD2+3GlStXCn5HZbZk9Hg0Go3CarVibGwM4+PjaGpqgtPpxKeffgq9Xo+KioqkrwsGgwCw7flkfvjhB3zyySdJFz6JUvH7/eju7gaAotwslQ0ZBcXFixcxPT2Nb775JrEYVFdXB41Gk3LacefOHVRVVW17/mU+nw+Li4vo7+/PpFwqMvHGMaFQCIODg0W7WSob0g6KqakpjI+P4/bt24mQAJ4/h96zZ8+2045wOIy5uTmMj4/v6H2i0Sj6+/sxMjLC0QTtSCE2jpFbWmsU0WgUDocD77333paUdjgceP3117edViwsLOC1117b8S+90+nE+fPnN4URUTJra2sF2zhGbmkFRTAYhN/vh9ls3jR9mJqawvT0NA4ePLjttGJycjLlJqyNBgYGsL6+jtOnT6dTJhWJWCyGvr4+GAwGHDp0CIuLi2htbZW7rIKSVlCsrq4mNkPF+Xw+3L59GwC2DYJwOIynT5/u6MnFtWvXoNFo0NPTkzgWjUbR3t7OLd8E4P8bxxw/fhzA8/8GC7VxjNzSCoqDBw9Cq9ViaWkJwPPHowsLCzh69Cg0Gg1++ukn+Hy+La9bWFiA0WgUTjsGBgZw4cIFXLhwIfGZEZVKhf379+PXX3/lWgVhdHQUBoMBT548wfz8PPr6+rgXIofSCgqDwYCWlhb09vaiqqoKAPDxxx8DANbX12EwGLasKcR3XG63yBk3MDCA3t7ebc/vdNpChcnlcsFgMODu3buYnZ3F4OAg90Lkg1QgVlZWJACS2+3O6D719fUZ34Oyz+12S/X19ZLJZJJ8Pp/c5RQd9qOgXc3v98Nms2Ftba2oG8fIjUFBu1IoFILNZoPf74fVauVjTpmxXT/tKhsbx9TV1cHn8zEkdgEGBe0KyRrHcC/E7sGgIFnF90KwcczuxqAg2YyOjuL48eN48uQJG8fsclzMpLxzuVywWCyorq7G/Pw890EoAIOC8sbj8aC7uxtlZWW4desWKisr5S6JdohBQTnHxjHKx6CgnAmFQuju7mbjmALAxUzKukgkgq6uLjQ0NKClpQU+n48hoXAMCsqajY1j3n77baysrHCzVIFgUFDGkjWO6ezslLssyiIGBWWEjWOKA4OC0uJ0OlFeXs7GMUWCTz3olczNzcFisaCyshJutxtlZWVyl0R5wKCgHfF4PLDZbFCr1dwLUYQYFJQSG8cQwKCgbbBxDG3ExUzaJN44prGxkY1jKIEjCgLwfLOUw+HAzZs30dHRAZ/Px8eclMARRZF7uXHM/Pw890LQFgyKIpascQz3QlAynHoUITaOoVfFoCgiHo8HFosFOp2OjWPolTAoioDf74fFYkEsFsPg4CCqq6vlLokUhkFRwDY2jrHb7TAajXKXRArFxcwClKxxDEOCMsGgKCBra2uwWCxsHENZx6AoALFYDP39/TAYDNBoNGwcQ1nHoFC44eFhHD9+HOvr6/D5fLh8+TI3S1HWMSgUKt445vvvv8f8/Dzsdjs3S1HO8KmHwrBxDMmBQaEQXq8XFouFjWNIFgyKXS4QCMBisSASicBut7NxDMmCQbFLxRvHeL1e2O12PuYkWXExc5d5uXHM4uIiQ4JkxxHFLsHGMbSbcUQhs3jjmJqaGgCpG8cEg0G0t7dDpVKhtLQU165dy3e5VKQYFDIaHR2FwWDAkydP4Ha7UzaO8fl8aG1thclkgiRJ+Mtf/oLLly/D5/PluWoqRpx6yMDlcsFms0Gv12N2dla4F8Ln86G5uRlOpzPRsq6urg4ajQZ37txJHCPKFQZFHm1sHLPTvRDhcBi///3v8e67724KhEgkgvX19VyWS5SgyKlHJBLB2bNnEYlEUl4Xi8Vw7tw5BAKBPFWWnN/vR2NjI2w2GwYHB1+pu9SNGzewvr4Os9m86fjq6iqePXuWi3KJtlBkUKjVaszNzaG7uzvldcPDw3A6nYjFYnmqbLNQKIRz586hra0Nly5dgtvtRnV1NTweD9ra2oSvD4fD+Otf/4oPPvhgy/RiaWkJWq0Wp06dylX5RAmKDIqSkhJYrVY4nU54vd6k10QiEVgsFjQ3N+d9u3N8L0RDQwPOnDmzpXGM3+/fUUPbGzdu4B//+AfGx8ehUqk2/fT29kKj0bAxLuWFIoMCAMxmM8rKytDV1ZX0vMViAQAMDg7mraa1tTX09fWhpqYGhw4dwsrKCpqbm7dct7S0hGPHjqW8VzQaxezsLA4fPoynT59CkqTEz+3btwEA7777Lg4cOJCTvwvRRooNCrVajcHBQfj9fgwPD2865/f7MTo6CqvVmpf/425sHAMAi4uLW9YUNvJ6vcIGt8FgEH6/H+Xl5di/f/+mc5OTk9BqtSnfgyibFBsUAGAymWA0GhPfth3X1taGsrKyvPwivdw4pq+vL+WOykAggFgsJpwOxRcrGxsbsW/fvsRxn8+H6elp6PV6VFRUZO3vQZSKooMCAOx2O9bW1mCz2QAAY2Nj8Pv9GBwczOkWaJfLlVbjGKfTiT/+8Y87fp+XpygOhwMA8MUXX2wKEKJcUvw+Cr1ej87OzsQv0OjoKIxGY84+SOXxeNDd3Y2ysrK0GsfcvHkTt27dSuu946OJ+I5OoryRCkA4HJZ0Op0EQFKr1ZLP50v7XvX19ZLb7d5yfH5+Xqqvr5fq6+vTvv+tW7ckk8m0o2sfPnwoabVa6aOPPpIkSZKmp6clrVYrTUxMpPXeRJkoiKCQJEkaHByUAEhmszmj+7wcFIuLi5LJZJKqq6uTBsir0Ov1rxQyExMTklarlQBIv/3tb6XHjx9n9P5E6SqYoJAkSTIajdIvv/yS0T3iQREOh6XW1lapsrJSunXrVsa1vcpogmi3UUmSJMk8+8maWCyW8QJmQ0MDrFYrAoEA1Go1WltbM65rbW0NNTU1cLvd3CBFiqT4xcyNsvWUIxqNJj6L4fF4Mr7f559/jjNnziAQCMj+uRMl0Ol0/Kb1XUYxQeH3+zftlciEXq9P+Sjz3r17+Pvf/56V9/rPf/6Df/3rX4jFYlm7Z6GLRCIMVBmZTKYtT+YUERSxWAwWiyVrH+46c+ZMys1YRqMR/f39WXmvUCiEkpISfjkPKZoigkKtVmN2dlZ43dra2q77heQX9FAhUPzOzI3a2trg9/vlLoOo4ChiRLETc3NzcLlciEQimJ+fl7scooJSECOK+BoG8PyTmU6nU+aKiApLQQTF8PDwpilHd3e3bF2tiAqR4oMiEonAZrMlPgRmMpk2fZqUiDKn+KCw2WyIxWKJTlZvv/124tOkoVBI5uqICoOigyLe3aqzs3PTY0ir1YqSkhJh810i2hlFB0VXVxd0Oh3sdvum4/Hmuy6XC3NzczJVR1Q4FBsU8Q7cVqs16Wc8Ojs7odfrs7qjk6hYKTYouru7E92ttnPlypVEo10iSp9ig6K+vh7Xr19PeU11dTXsdjs/2k2UIcXuzJyYmNjRdZcvX85xJUSFT7EjCiLKHwYFEQkxKIhIiEFBREIMCiISYlAQkRCDgoiEGBREJMSgICIhBgURCTEoiEiIQUFEQgwKIhJiUBCREIOCiIQYFEQkxKAgIiEGBREJMSiISIhBQURCDAoiEmJQEJEQg4KIhBgURCTEoCAiIQYFEQkxKIhIiEFBREIMCiISYlAQkRCDgoiEGBREJMSgICIhBgURCTEoiEiIQUFEQgwKIhJiUBCREIOCiIQYFEQkxKAgIqGcBMXU1BRUKhVUKhVaWlq2vS4cDuP9999HOBzORRlElCU5CYrTp0/j4cOH0Gq1+PDDD7e9bmFhAW+99RYOHDiw5ZzT6URpaSlUKhVKS0vR09ODaDSa8n3Lysrw5MmTjOsnos1yNvVYXV2FRqPBO++8s+01k5OTaGho2HJ8amoK586dw7NnzwAAz549w5dffgmTySQMCyLKvpwFxeTkJMrLy7F///6k58PhMPbu3Yv6+vpNx6PRKL766itMTExAkiRIkoTp6WlotVp8++238Hg8uSqZiLaRk6AIh8O4d+8eGhsbsW/fvqTX3LhxA8eOHdtyPhgM4uLFi2hubk4ca2pqwujoaC5KJaIdyEpQzMzMoKqqCiqVCu3t7bh79y7W19dx6tSppNdHo1F89913Sc8bDAacPHlyy/GlpSUcPnw45VSGiHIjo6CIRqPo6enBRx99hL6+PkiShFOnTuHTTz+FXq9HRUVF0tcFg0EA2PZ8Mj/88AM++eSTpAufRJRbezJ58cWLFzE9PY1vvvkGBoMBAFBXVweNRpNy2nHnzh1UVVVte/5lPp8Pi4uL6O/vz6RcIkpT2kExNTWF8fFx3L59OxESABCJRLBnz55tpx3hcBhzc3MYHx/f0ftEo1H09/djZGSEowkimaQ19YhGo3A4HHjvvfe2PLVwOBx4/fXXt51WLCws4LXXXtvxL73T6cT58+c3hRER5VdaQREMBuH3+2E2mzdNH6ampjA9PY2DBw9uO62YnJxMuQlro4GBAayvr+P06dPplElEWZJWUKyuriY2Q8X5fD7cvn0bALYNgnA4jKdPn+7oycW1a9eg0WjQ09OTOBaNRtHe3s4t30R5llZQHDx4EFqtFktLSwCePx5dWFjA0aNHodFo8NNPP8Hn82153cLCAoxGo3DaMTAwgAsXLuDChQuJz4yoVCrs378fv/76K9cqiPIsraAwGAxoaWlBb28vqqqqAAAff/wxAGB9fR0Gg2HLmkJ8x+V2i5xxAwMD6O3t3fb8TqctRJQ9KkmSJLmLyJby8nLU19fj+vXrad+joaEBVqt1yyItUTFjPwoiEmJQEJEQg4KIhBgURCTEoCAiIQYFEQkxKIhIiEFBREIMCiISYlAQkRCDgoiEGBREJMSgICIhBgURCTEoiEiIQUFEQgwKIhJiUBCREIOCiIQYFEQkxKAgIiEGBREJMSiISIhBQURCDAoiEmJQEJEQg4KIhBgURCTEoCAiIcUGRVtbGzwej/C6vr4+DA8P56EiosKl2KAIhUJoa2tDLBbb9hqv1wubzYZIJJLHyogKj2KDYnBwEKFQCA6HY9trurq6oNPpcPny5TxWRlR4FBsUer0enZ2d244YRkdH4ff7MTg4CLVaLUOFRIVDsUEBAFarFWq1Gt3d3ZuOx2IxWCwWVFdXo7m5WabqiAqHooNCp9PBarXC6XTC6/UmjsdHGVeuXJGxOqLCoeigAIDOzk7o9Xp0dXUBQGLdIn6ciDKnkiRJkruITM3NzaGxsTHx55KSEiwuLkKn08lYFVHhUPyIAgCMRiNMJlPiz1arNQshsYyhjhNQqVTPf050YGh2+cXx2QzvTaQsBREUABJPN+JPQzIziw5VBb7GnxGUJEiSBOn+n3DU1QKVqgJfv1GRlZqJlKIgph5xFosFdXV1MBqNGd1neegEKsxvYkYaQePmMxg60QKM3celIxm9BZGi7JG7gGyy2+1ZvNsjPF4GGjcFwhEcffNNgCFBRUYRIwqLxbLp8ed2qqursXfv3pTXlJSUwGw2p77R8hBOVJjxoLYdM2MjL4UFUfFRRFAEAoEdfV7D6/Wm/OwHAJSVlaG1tVV4r+fTjwcAauEIcqpBxU0RQSGX5dkOtDRdxQMA7TNBjHBoQUWKQSESn4YAaJ+RMNIofAVRwSmYx6NZsTyEjqHlzceOXML9oAO1AK5+NoTlpC8kKmwMio2CP+JRsuNHPsAfagE8+BHBxMFlDJ14sRlL1QFuwaJCxqDYYPnxIzz4ejrJqCGIHx8AqH0D8a1Wy0NfAGPPN2PNtF9F0wmONqiASZQw0w4JgFTbPiMFE0eDL47XSo7gNi8MOqRatEsz+SmTKO84okiYxWPMQJKCGDO50JKYVlTgs0ftmEn1iPTIUbyZ11qJ8otPPbJheQgd0x9ghJstqEBxRJEFs9PAnxgSVMAYFBlaHjoB19FL/PgHFTQGRQaWh06gBWMvNmHNYujlPRhEBYJB8ZKGhoYdfbFQS0sLKswP8MBcAZVKhdLS8zh58n/zUCFR/jEo0jQ2Nva8oc2Ln3//+98wGAxyl0WUEwwKIhJiUBCREIOCiIQYFEQkxKAgIiEGBREJMSiISIhBQURCDAoiEmJQEJEQg4KIhBgURCTEoCAiIQYFEQkxKIhIiEFBREIMCiISYlAQkRCDgoiEGBREJMSgICIhBgURCTEoiEiIQUFEQgwKIhJiUBCREIOCiIQYFEQkxKAgIiEGBREJMSiISIhBQURCDAoiEmJQEJEQg4KIhBgURCT0f0Qz2SQgnv+XAAAAAElFTkSuQmCC)
physics-General
physics-
In an interference arrangement, similar to Young's double slit experiment, the slits
and
are illuminated with coherent microwave sources, each of frequency
Hz. The sources are syn necrotized to have zero phase difference. The slits are separated by distance
The intensity
is measured as a function of
where
is defined as shown in figure. If
is maximum intensity, then
for
is given by
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQwAAAEjCAYAAADHdj9wAAAZrklEQVR4nO3df0gcZ/4H8PeEcPHu3FvJyp1pKFlz2Pz4o9ltqKdQqrEX0FQ4A9fDHKQqJFabHqenkOw/t+4fdybkrMsREgOB3VhqlpMjW9TEIxgNFJQWM5PAoSI9t1AzSw+JWweyuXKZ7x/5uhezbnyMuzu74/sFoXVmdv2Usu88zzPPfFbSdV0HEZGALUYXQETZg4FBRMIYGEQkjIFBRMIYGEQkjIFBRMIYGEQkjIFBRMIYGM/RNA2NjY2QJAmSJKG4uBg3btyApmno7u42ujwiQzEwnqGqKg4cOACLxYKlpSXouo7bt29jZGQEFosFT548MbpEIkNtNbqATNLX1wcAaG9vR25uLgAgNzcXHo8H33zzDSoqKowsj8hwHGE8JxKJIBwOrziWm5uL/fv3o6CgwKCqiDKDxIfP/keWZRw+fBi7d+/Gp59+iqKiIqNLIsooHGE8w+l0wuVy4csvv0RpaSlkWTa6JKKMwsB4TltbG65duwYAeOONNxAIBAyuiChzcEqSwPL0ZGFhAQMDA6iurja6JCLDcYSBp+Fw5cqVFcecTidu3boFm80Gr9cLTdMMqo4oczAwAMzPzyMSicQdLyoqgsPhwNzcHJaWlgAAdXV16OrqSneJRBmBgQFgZmYGN2/ejBtFLC0tYW5uDoWFhbBYLOjq6kJvb69BVRIZj4EB4P79+xgZGYHb7Y6FhqZpOHPmDCKRCM6fP4/c3Fy0tbXhL3/5i8HVEhln0weGqqpwOBxYWlrCm2++iYMHD0KSJFgsFnz77bcYHx+H0+k0ukyijMC7JOu0vH7R1tZmcCVE6bfpRxhEJI6BQUTCGBhEJIyPt69DV1cX2tvbYz9zHYM2Gy56EpEwTkmISBgDg4iEMTCISBgDg4iE8S7JKhRFQTAYBADs3bsXtbW1BldElBl4l+Q5Fy9exB//+EcsLCwAAH7yk5/A4XDgH//4B3JycgyujshYWRUY0WgUExMTa15nt9tht9vX/f4TExOoqqrC4uLiiuM5OTk4efIk/vrXv677PYnMJKsCY3h4GOfOnVvzulAohFAotOZ1sizD4XDEfq6oqMDo6Oiq127btg3hcBh5eXniBROZTFYFhqiJiQmUlpbC5/Ohvr5e+HU7d+7EgwcPVj1ntVoxNja2ImCINhtT3iVpbm4GALhcLkSjUeHX7dmzJ+G5x48fY+/evRuujSibmS4wenp6oCgKACAcDsPlcgm/9uLFi9i+fXvc8R/96Ec4ffo0Fz1p0zPVlGRxcRH79u1DXl4epqen4XA4MD09DVmWhUcHY2Nj+M1vfgNN0/Cf//wHP/7xj1FXV8cFTyIA0E2kpaVFB6Bfv3499s+CggK9pqZmXe/z8OFDvampSS8uLtanpqZSVC1R9jHNlGR6eho9PT1oaWmJLUzm5eXB7XYjGAzGNmKJyMvLwy9+8Qvs37+f6xZEzzBNYLhcLuTl5eH06dMrjjc1NcHhcKx7AZSI4pkiMJZHEG63GwUFBXHnL126hOnpaXi9XgOqIzKPrA+MaDQKl8sFh8OBpqamVa8pKSlBfX09PB4PwuFwmiskMo+sD4xwOIxwOIxLly698LrOzk7k5OQIbS0notVl/dOqdrsdDx8+XPO6goICoeuIKLGsH2EQUfowMIhIGAODiIQxMIhIGAODiIQxMIhIGAODiIQxMIhIGAODiIQxMIhIGAODiIQxMIhIGAODiIQxMIhIGAODKEMoioKqqqqMbvKU9f0wiLLd9PQ0XC4XQqEQuru7V20zmSkYGEQGWf6irYmJCXR2dqKmpsboktbEKQlRmi0uLqK1tRWlpaUoKyvD1NRUVoQFwMAgSptoNIqOjg44nU7s2rULU1NT6/qy8EzAwCBKsWg0Cq/Xi3379gEAZFlGS0tLVn5XL9cwiFLI7/fj3LlzqKysxPj4eEYvaIpgYBClQDAYhMfjgcPhwM2bN2G3240uKSkYGERJNDY2Bo/Hg7y8PPh8vtj3/JoFA4MoCRRFgcfjweLiItxuN8rLy40uKSUYGEQbEAqF4HK5MD09DbfbnTW3R18W75IQvYRwOIzW1lYcOnQIv/rVryDLsunDAmBgEK3L4uIiOjo6UFpail27dmFubg61tbVGl5U2DAwiAct7KZxOJwBgamoKLS0tBleVfgwMojX09PRg3759+PrrryHLMjo6OrJy01UyMDCIEggGgygsLMS9e/cwPj6O7u5u5OXlGV2WoXiXhOg5Y2NjaG1thd1ux+joqGk2XSUDA4Po/ymKgtbWVgAw5aarZGBg0Kb3fAMbs266SgYGBm1a2djAxmhc9KRNJ5sb2BiNgUGbhhka2BiNgUGbglka2Bgt5YExODgISZIgSRLq6uoSXqeqKg4fPgxVVVNdEm0ifr8fhYWF+PrrrzE+Po6Ojo5Nv5diI1IeGNXV1bh79y5sNhvee++9hNdNTk7i9ddfx44dO+LOBQIB5OfnQ5Ik5Ofno62tDZqmpbJsynLBYBBOpxN37tzB6OhoxrfvzxZpuUsyPz8Pq9WKgwcPJrymv79/1UAZHBzEsWPHYj8vLCzg448/xr179xAMBpGbm5uSmik7mb2BjdHSsobR39+PwsJCWCyWVc+rqopt27bF3f/WNA2ffPIJrl27Bl3Xoes6hoaGYLPZMDIygrGxsXSUT1lAURQcPXoUHo8Hbrcb169fZ1ikQMoDQ1VVfP7556iqqko4Gujr68OePXvizs/OzuLUqVMrHh8+cuQI/H5/Smum7BEKhdDQ0ICGhgbU1dVhdHSUG69SKOmBcePGDRQXF0OSJDQ2NuLOnTuIRCKoqKhY9XpN0/DFF1+set7pdOLtt9+OOz4zM4Pdu3e/cIpD5vZsA5uysrJN08DGaEkLDE3T0NbWhvfffx8dHR3QdR0VFRX46KOP4HA4UFRUtOrrZmdnASDh+dXcv38fH3744aoLpGRuqzWw4V6K9ElaYJw6dQpXr17FrVu3cOTIEQBAWVkZrFbrC6cjt2/fRnFxsfDipSzLmJqawm9/+9tklU5ZgA1sMkNSAmNwcBC9vb3w+/2x/6HA02Hj1q1bE05HVFXF8PCw8Idf0zScPXsWly9f5uhiE/H7/WxgkyE2fFtV0zR4vV688847cYtNXq8Xr776asLpxuTkJF555RXhD38gEMDx48dXhBKZVzAYRGtrK8rLy03xrWFmsOHAmJ2dhaIo8Pv9K6YVg4ODGBoawrvvvptwupFo78Vqurq6AAAnTpzYaMmU4djAJnNtODDm5+exsLCw4pgsyxgYGACAhIGgqioePHggdKfjypUrsFqtK8JC0zT84Q9/gMfj4fTEJNjAJvNteA1j586dsNlsmJmZAfD0turk5CRee+01WK1WfPXVV5BlOe51k5OTqKysXPPD3tXVhZMnT+LkyZOxZ1IkSYLFYsHjx48ZFiYQCoVw9OhRNDQ0wO12Y3R0lGGRoTYcGE6nE3V1dWhvb0dxcTGA/00bIpEInE5n3JrD8g7ORIuhy7q6utDe3p7wvOh0hjJTOBxGQ0MDDh06hLq6OsiyzE1XmU43obm5OR2APjo6+tLv4fP59Pr6+iRWRcsePnyot7S06Ha7Xff5fEaXQ+vAfhiUNmxgk/0YGJQWbGBjDgwMSik2sDEXdg2nlAgGg/B4PHA4HNxLYSIMDEoqNrAxNwYGJYWiKPB4PFhcXITb7ebtUZNiYNCGhEIheDweKIoCt9vNnhQmx0VPeilsYLM5MTBoXdjAZnNjYJAQNrAhgIFBAtjAhpZx0ZMSYgMbeh4Dg+KwgQ0lwsCgGDawobUwMAihUAitra0IhULo7u7mpitKiIuemxgb2NB6MTA2ocXFRbS2tqK0tBRlZWWYm5vjpisSwsDYRNjAhjaKgbFJsIENJQMDw+TYwIaSiXdJTIoNbCgVGBgmwwY2lEoMDJNgAxtKBwZGlmMDG0onLnpmKTawISMwMLIMG9iQkRgYWYINbCgTMDCyABvYUKbgomcGCwaDcLlcKCkpYQMbyggMjAz0bAOb69evY+/evUaXRASAU5KMoigKDh06BI/HA5/PFxcWs7OzaGxshCRJyM/Px5UrVwysljYjBkYGCIVCOHr0KBoaGuB2uzE6Ohq3Q1OWZdTX16Ompga6ruPChQs4c+YMZFk2qGrajBgYBgqHw2hubl6zgY0sy6itrcWFCxdw5MgRAEBZWRmsVitu376d7rJpE2NgGODZBjYHDhx4YQMbVVXx61//GiUlJbFbqsDTsIlEIukqmQiACQIjHA7j6NGjCIfDL7wuGo3i2LFjmJ6eTlNlq9fwfAObpqamF76mr68PkUgkbs/F/Pw8FhYWUlkuUZysD4ycnBwMDw/Hul0n0tPTg0AggGg0mqbKVkrUwMbpdGJxcXHV16iqiosXL+Ldd99dMboAgJmZGdhsNlRUVKS8dqJlWR8YeXl5cLvdCAQCmJiYWPWacDgMl8uF2tratD/uHQgEEjawWVxcRCgUStjQpq+vD//617/Q29sLSZJW/Glvb4fVauXeDEqrrA8MAGhpaYHdbkdzc/Oq510uFwCgu7s7bTUFg0E4nU589tlnGB0dRXd3d9yHe2JiAiUlJau+XtM03Lx5E7t378aDBw+g63rsz8DAAADgrbfewo4dO1L+30K0zBSBkZOTg+7ubiiKgp6enhXnFEWB3++H2+1Oy9/GY2NjOHToEK5evQqfz4dr164l7HalKErCEc/s7CwURUFhYSEsFsuKc/39/bDZbHyWhNLONDs9a2pqUFlZCY/Hs+Jv7YaGBtjt9pR/uF6mgc1nn32WcNSzvKhZVVWF3Nzc2HFZljE0NASHw4GioqKk1U8kwjSBAQCdnZ0oLS2Fx+MBAFy9ehWKouD69espe1jrZRvYhEIhhMPhhFOSZXv27Fnxs9frBQCcP39+RZAQpYMppiTLHA4HmpqaEAwGATx9yrOysjIljWWWG9hUVVW9VAObQCCA2tradf3O5dGF3++Pu2tClA6mCgwAOH36dGytIicnB52dnUl9/+cb2Cxv2V6PaDSKy5cv4/e//33Ca3bu3AmbzYb+/n4AwI0bN3D48GFcuHAB1dXVG/pvIHpZpguMgoICnD59GgDQ1NSUtNuoiRrYvMxUp6enBzU1NS9chHU6nbhw4QKGhoYgSRI6OjowPj6+7lEJUVLpJlVZWak/evTopV/v8/n0+vr62L/b7Xa9paVFf/jw4YbqevTokW6323VVVTf0PkRGMNWi57OStdCpKAru3LmTtAY2Ho8HH3zwATdcUVYybWAk666Iw+GAz+dLynuNjY1hYmICo6OjSXk/onQzbWAkQyQSwQ9/+MOkP38iSVJS348oVebm5lZsPMy6wGhoaIDf70/KexUUFGBubi7haMRqteLRo0dJ+V3RaBSKoqy574Iok2XdXRKfz7fiuYqN/FFVNW3dt3NychgWlPWyLjBEDA8Pxx44I6LkMV1gRKNRuFwueL1ehEIho8shMhXTBUZPTw8URUE0Gl2zqQ4RrY+pAiMcDscePAOe9qRYfq6EiDbOVIHh8XgQjUZRXl4Ou90Oh8MBl8tlWFs+IrMxTWAsN89Z7r4FAJcuXcL09HRcUx0iejmmCYzm5mYUFBTA7XbHjpWUlKC2thYul2vNruJEtDZTBMZyA+DOzs64fRXLHa14m5Vo47I+MJbvhjgcjlX7UiyPOvx+PxRFMaBCIvPI+sA4e/YswuEwLl26lPCatbqKE5GYrA+M5RHEi7Zd5+TkwOfzpf07SYjMJusePnveWl81uKy8vFyokzcRJZb1IwwiSh8GBhEJY2AQkTAGBhEJY2AQkTAGBhEJY2AQkTAGBhEJY2AQkTAGBhEJY2AQkTAGBhEJY2AQkTAGBhEJY2AQkTAGBhEJY2AQkTAGBhEJY2AQkTAGBhEJY2AQkTAGBhEJY2AQkTAGBhEJY2AQkTAGBhEJY2AQkTAGBhEJY2AQkTAGBhEJY2AQkTAGBhEJY2AQkTAGBhEJY2AQkTAGBhEJY2AQkTAGBhEJY2AQkTAGBhEJY2AQkbCUBsbg4CAkSYIkSairq0t4naqqOHz4MFRVTWU5RLRBKQ2M6upq3L17FzabDe+9917C6yYnJ/H6669jx44dcecCgQDy8/MhSRLy8/PR1tYGTdNe+Ht37dq14dqJKF7KpyTz8/OwWq04ePBgwmv6+/tx6NChuOODg4M4duwYFhYWAAALCwv4+OOPUVNTs2ZoEFHypTww+vv7UVhYCIvFsup5VVWxbds2lJeXrziuaRo++eQTXLt2DbquQ9d1DA0NwWazYWRkBGNjY6kunYiek9LAUFUVn3/+OaqqqpCbm7vqNX19fdizZ0/c+dnZWZw6dQq1tbWxY0eOHIHf709lyUT0AkkNjBs3bqC4uBiSJKGxsRF37txBJBJBRUXFqtdrmoYvvvhi1fNOpxNvv/123PGZmRns3r37hVMcIkqNpASGpmloa2vD+++/j46ODui6joqKCnz00UdwOBwoKipa9XWzs7MAkPD8au7fv48PP/xw1QVSIkqtrcl4k1OnTmFoaAi3bt2C0+kEAJSVlcFqtb5wOnL79m0UFxcnPP88WZYxNTWFs2fPJqNsIlqnDQfG4OAgent7MTAwEAsLAAiHw9i6dWvC6YiqqhgeHkZvb6/Q79E0DWfPnsXly5c5uiAyyIamJJqmwev14p133om7y+H1evHqq68mnG5MTk7ilVdeEf7wBwIBHD9+fEUoEVF6bSgwZmdnoSgKWlpaVkwrBgcHMTQ0hJ07dyacbvT3979wM9ezurq6EIlEUF1dvZFyiWiDNhQY8/PzsU1Vy2RZxsDAAAAkDARVVfHgwQOhOx1XrlyB1WpFW1tb7JimaWhsbORWcqI021Bg7Ny5EzabDTMzMwCe3ladnJzEa6+9BqvViq+++gqyLMe9bnJyEpWVlWtOR7q6unDy5EmcPHky9kyKJEmwWCx4/Pgx1zKI0mxDgeF0OlFXV4f29nYUFxcDAE6cOAEAiEQicDqdcWsOyzs4Ey2GLuvq6kJ7e3vC86LTGSJKHknXdd3oIpKto6MDV69exdzc3Eu/h9/vx507d+Dz+ZJYGVF2Yz8MIhLGwCAiYQwMIhLGwCAiYQwMIhLGwCAiYQwMIhLGwCAiYQwMIhLGwCAiYQwMIhLGwCAiYQwMIhLGwCAiYQwMIhLGwCAiYQwMIhLGwCAiYQwMIhLGwCAiYQwMIhLGwCAiYQwMIhLGwCAiYQwMIhLGwCAiYQwMIhLGwCAiYQwMIhKW9YERCARw9uzZNa+bmJhAQ0NDGioiMq+sD4xQKASXy4WJiYkXXtfc3AxFUdJUFZE5ZX1gtLS0oKCgAM3NzQmv6enpgaIocLvdaayMyHyyPjBycnJw6dIlKIoCr9cbd35xcREejwc1NTWoqakxoEIi88j6wACAmpoalJeX49y5cwiHwyvOeTweLC4uorOz06DqiMzDFIEBAN3d3QiHwzh37lzsmKIo6OnpQVNTE/bu3WtgdUTmYJrAcDgcaGlpgdfrxb179wAALpcLeXl5LzW6+P777/Hvf/872WUSZTfdRFRV1QsKCnQAsT8+n29d7/Hw4UP96NGj+pYtW/Qf/OAH+tatW/U///nPKaqYKLtIuq7rBmdWUnm9XrS2tgJ4OuqQZXldr3c6nfjnP/+J77//PnbMYrHgd7/7Hf70pz8ltVaibGO6wACefugVRYEsy3A4HMKvCwQC+OCDD/Ddd9/FncvLy4Msy7Db7ckslSirmGYN41nd3d2or69fV1gAwM2bN1cNCwB48uTJmpvDiMxuq9EFpEJ5eTlKSkrW/bqf/vSnCc9t2bIFeXl5GymLKOtl1ZRkbGwMY2NjSXu/+vr6FVMMRVFQXl6OSCQSd+327dsxPz+PnJycpP1+omyTVVOSVK8fOBwOnDp1Km4ksX37dvz9739nWNCml1UjjHQZHh6Gy+XCf//7X+Tn5+PixYvc+EUEBgYRrUNWTUmIyFgMDCISxsAgImEMDCISxsB4jqZpaGxshCRJkCQJxcXFuHHjBjRNQ3d3t9HlERmKgfEMVVVx4MABWCwWLC0tQdd13L59GyMjI7BYLHjy5InRJRIZypRbw19WX18fAKC9vR25ubkAgNzcXHg8HnzzzTeoqKgwsjwiw3GE8ZxIJBLX5i83Nxf79+9HQUGBQVURZQZu3HqGLMs4fPgwdu/ejU8//RRFRUVGl0SUUTjCeIbT6YTL5cKXX36J0tLSdTffITI7BsZz2tracO3aNQDAG2+8gUAgYHBFRJmDU5IElqcnCwsLGBgYQHV1tdElERmOIww8DYcrV66sOOZ0OnHr1i3YbDZ4vV5ommZQdUSZg4EBYH5+ftWmOUVFRXA4HJibm8PS0hKApxu7fvnLX0KSJPz85z+HqqrpLpfIMAwMADMzM7h582bcKGJpaQlzc3MoLCyExWIB8LRR8Pnz56HrOt566y0cP36cow/aNBgYAO7fv4+RkRG43e7Yh1/TNJw5cwaRSATnz5+PbeQ6ceIEnE4ngKdfBP3dd9/FRh9EZrfpA0NVVTgcDiwtLeHNN9/EwYMHIUkSLBYLvv32W4yPj8cC4nkFBQWwWq1prpjIOLxLsgGyLGNychInTpwwuhSitNj0I4yNuHv3Lmpra40ugyhtGBgvqaurCz/72c9iaxtEmwED4yV0dXUBAKqrq6GqKv72t78ZXBFRenANY53q6urQ29sb+9lms+HWrVsJF0aJzISBQUTCOCUhImEMDCISxsAgImEMDCISxsAgImEMDCIS9n+FI+2GZGrz1QAAAABJRU5ErkJggg==)
In an interference arrangement, similar to Young's double slit experiment, the slits
and
are illuminated with coherent microwave sources, each of frequency
Hz. The sources are syn necrotized to have zero phase difference. The slits are separated by distance
The intensity
is measured as a function of
where
is defined as shown in figure. If
is maximum intensity, then
for
is given by
![](data:image/png;base64,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)
physics-General
physics-
A parallel narrow beam of light is incident on the surface of a transparent hemisphere of radius R and refractive index
as shown. The position of the image formed by refraction at the spherical surface only is
![](data:image/png;base64,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)
A parallel narrow beam of light is incident on the surface of a transparent hemisphere of radius R and refractive index
as shown. The position of the image formed by refraction at the spherical surface only is
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)
physics-General
physics-
A glass prism of refractive index 1.5 is immersed in water
Light beam incident normally on the face AB is totally reflected to reach the face BC if
![](data:image/png;base64,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)
A glass prism of refractive index 1.5 is immersed in water
Light beam incident normally on the face AB is totally reflected to reach the face BC if
![](data:image/png;base64,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)
physics-General
physics-
Two identical sources P and Q emit waves in same phases and of same wavelength. Spacing between P and Q is
The maximum distance from P along the x-axis at which a minimum intensity occurs is given by
![](data:image/png;base64,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)
Two identical sources P and Q emit waves in same phases and of same wavelength. Spacing between P and Q is
The maximum distance from P along the x-axis at which a minimum intensity occurs is given by
![](data:image/png;base64,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)
physics-General
physics-
A thin isosceles prism with angle 4° and refractive index 1.5 is placed inside a transparent tube with water
as shown. The deviation of light due to prism will be
![](data:image/png;base64,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)
A thin isosceles prism with angle 4° and refractive index 1.5 is placed inside a transparent tube with water
as shown. The deviation of light due to prism will be
![](data:image/png;base64,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)
physics-General
physics-
A thin plano-convex lens of focal length 15 cm has its plane side silvered. An object is placed on the principle axis of the lens at a distance 20 cm from it as shown. The final position of the image is
![](data:image/png;base64,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)
A thin plano-convex lens of focal length 15 cm has its plane side silvered. An object is placed on the principle axis of the lens at a distance 20 cm from it as shown. The final position of the image is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIsAAACUCAYAAACjmdqxAAAP8ElEQVR4nO2db0xb1RvHv/1ljpIUWlPMLuGFbR2hmmW0WbJBYkwZLuOP0WJ0MOOg7sXG1GUwpsFX7V7BokTQmW1mGUUTgfBiNQh0mkE1JGum0sobyjDQJTLuEgmtra4mhvt7Qe6lpYXde9vL2nI+yZJxe/51fHfOc57znOfKGIZhQCDw4H9PegCEzIGIhcAbIhYCb4hYCLwhYiHwhoiFwBsiFgJviFgIvCFiIfCGiIXAGyIWAm+IWAi8IWIh8IaIJUtxOp3o7u5OaZsyEqKQfVitVty9excqlQolJSWw2WwAAK1WC41Gg4mJCVHtErFkGZ2dnQgGg+jo6ACwJpDx8XG88MILiEQiSObXTZahLMLlcsHpdHJCAQCTyQSj0RgjlDNnzohqn4glSwgEAmhpaYHdbo95XlpaGiMUmUwGt9stqg8ilizBZrOhqakJGo0m5rnBYEB5eTmANaEAwNTUlKg+diU3REI6QNM0HA4HfD5f3GcajQZ+v58TCjvD0DQNiqIE9UNmliygubkZ3d3dkMvlcZ+xYgEQsxQlEtbjIGLJcLxeL/x+P8xm86ZlCgoKsLCwAGB9KTKZTIL7ImLJcGw2G+dH2Yx9+/YlXIqEQsSSwfCZVQCAoihUVFQAQFLbZyKWDIbPrAIAu3fvBhBrswQCAcH9EQ9uhkLTNIxGI5aWlh5blhWUzWbjlqLV1VXu73whM0uG0tnZiQ8//JBXWZVKhWAwSGyWnUgkEoHD4cDx48d5lVepVLh+/TqAdaHodDrB/RKnXAZy9epV1NXV8XaqaTQa7Nq1K8ZmEQOZWTIQu92OpqYmQXUMBgMAJLUUEbFkGC6XCyqVivvl84GiKNA0ndDlLwQilgyjr68PFotFUB25XI4//vgDQOz2ORKJCGqHbJ0ziEgkws0Sic6BNoOmaTz33HP4+++/AYhfisjMkkHY7XYcP35ckFCAtWXon3/+AUBslh1DX1+fYMM2mo1CcblcguoTsWQIPp8PgUAAZWVlourn5+cDiLVZiIGbpQwMDKC+vl50/d27d8eFKTQ0NAhqgzjlMoTBwUHcvHlTdH2FQgGA2CxZDxvVptfrRbdBURS0Wi2AdaF0dnYKaoOIJQOw2+1obGxMqg3Wp5KMn4UsQxnAwMCA4J1LItibiOxSxCcWJhoys6Q5brcbhYWFcVc8hEJRFCKRSIzNQpxyWYbD4cCrr76adDsURaG6uhrA+lJ08uRJQW0QsaQ5AwMDvONWtiIcDgNAUmEKRCxpjMvlgkajSXoJYunt7QWwLpQbN24Iqk/EksYMDg4Kdpxtxt69exOGKQiBiCWNGRsbQ1VVVUraysnJwUcffQRgXSiHDx8W1AYRS5ri9XqhUqlStgSxEJslCxkbG+N2L6nCarUCWBfK+Pi4oPpELGnK999/j6NHj6asPblcjn///ZfYLNlGIBCAz+cTHY6QCIqicPnyZQDEZskqXC4XDh06JDgijg/JXGElYklDbt26lbJdUDRvvPEGAPEZoIhY0pBUbpk3QmyWLMLn8yE3NzflW2aVSsUFT4m9wkrEkmY4nU5JZhWVSgWZTEb8LNnEt99+i9dee02StjdeYZ2fnxdUn4gljYhEIvB4PCndMm9k220Wj8eD6upqyGQy7s+pU6e4Y3CCONxuNwwGgyRbZmDtCAHYJpslHA7j5ZdfxpEjR3D27Fku2urevXu4ffs2SktLeWUiIiTG7XZzCY6lYlv8LHNzcygtLQUA+P1+1NTUcJ8VFxejp6cH8/PzaG9vFzQAwjputxuHDh2SrP2NNsvKyoqg+rzEsrS0xFnoX3/9NXcHJZoDBw5Ap9NhcXGRLEcicblcovLTCkFym6W9vR3z8/N49913UVhYuGXZhYUFhEIhwQPZ6fh8PhQWFkKlUknWx0abJeUJCD0eD0ZGRqDT6fDWW29tWo6maQSDQWi1WuTl5QkaBEH6JYhFUj/L+Pg4lpeXHzursOWKiooSLlOErfntt98EZXMSQ7KpwrYUSzgcxtjYGACgpKSEV7k333xT0AAIa7jdbkn9KyyS2yxqtRpFRUWbfu5yuXD79m1UVlZKbqBlKzMzM0ndZeaD5DbL41haWsK5c+egVqvx8ccfkyVIBNth3LJIZrMoFApUV1djeXk5YbxmOBzGiRMnEAwGYbfbYTQaBQ+AsPY/nvVhSYmkNgsAnD59GpWVlejo6MDAwAD3fHR0FIcPH8Zff/2FH374Aa+88oqgjgnr+P1+Lh2G1EhqsygUCjgcDjQ1NeH999/nzoI+//xz2Gw23L17l8woSXL//n08++yzkveTrM3CK+WGQqFAV1cXurq6BA6PwAe/3y9ZWMJGSDxLhrMdOyFgG2yWVOD1elFXV5eShDTpTl1dHTfd8+X+/fspD6PcjLSNwWVFYjQa4XA4pOwqbXA4HDAajaJEIzVP3M+SiJ0oko3wFU0kEkFOTs62jSsZmyWlOeXcbjcuXbq0qUBaW1u3xfGUTjgcDjgcDpjNZlit1rjzH5qmH3uSnyrSymbR6/UoLS3dcYLIJJJ69R0jASsrK4zVamVUKhUDgPszMTEhRXdpRfT3BcCYzWbG4/FsWn5lZYVRKpWSj2tiYoL7fUSPVQiSiIVlo2h2klgeJ5KNdaSGFUt0n09ELCsrK8yVK1eYsbGxTT+3Wq28//EyGSEiYdkusZhMJq4/MX2mZJRlZWVMbm4uo1AomM8++yzp9vr7+xm1Ws0AYNRqNXP+/HkmFArFlQuFQsz58+e5L79ZuXSHoihmaWlJ0j5YsYgVCsOkQCyPHj1i5HI5N4iKioqk2hseHo5b9wEwlZWVcUJobGzknodCIeb1119nGhsbk+r/SWAymSRfotPGZmloaGCUSiWTn5+f1JcOhULMsWPHmP7+fu7ZyMgIN8sMDw9zz4eHhxm1Ws1MTU1xz6amphi1Wh1TLhOwWCxMb2+vpH2kwmZJyda5v78fLpcLs7OzSUXKzc3N4b333otJ51lTUwO73R5XdmhoCAaDAcXFxdyz4uJiGAwGDA0NiR7Dk6CkpASzs7OS95M2fhaDwcD7pdSbYTQa8dJLL8U9n52dhU6nw4EDBwCsRedNTk7GBYcrFAoUFRVhcnIy7mZkOBxGW1sbCgoKIJPJcPDgQSwtLaGtrY0Lu/juu+8QDodx6tQp7mdgTcQHDx5EQUEBPB5PUt8xERqNhntxlNSk7dlQqpieno65XcBeO9m/f39c2f379yMYDMa80s3j8UCj0SAUCuHOnTtgGAbPP/88vvnmG3R1dWF4eBg6nQ4lJSUYHBzEBx98AJ1Oh6GhIczNzcHj8eDatWsAgMXFxZR/P71ez71TSErS8mwolXg8HszMzGx5Z+lx9Y8cOYLa2lp8+eWXKC4uhsfjgdvt5hLwDQ0NQavV4qeffkJ9fT3C4TCCwSB0Oh1omsaxY8c4kWwVuC4Wg8EAn88n+P0/YhArFCDN3zcUDofR2dmJa9eu8T4/mZ6ehlKp5JbE7u5uGAwGfPHFF1wZo9HI2QjhcBiLi4vQ6XSoqamBQqHg4o3z8/O5KMBENlIqYWcXKe8ObbRZVldXBdVP65llYGAAJ06ciAvbpCgKSqUS09PTW9Znb1NWV1dveutgbm4OXq8XJSUlKCwsjLkDZTKZoFAoOBtpq3aSpby8HG63W5K2o8lKm6WrqwvBYDBhIHheXh60Wm3cJXx2lnjxxRdRWFiIxcVFLC8vb3lBbnx8HEqlklvmQqEQFhYWUFtby4n0119/RTAYFJw3VghS74j8fj9++eUXAFmWU+769etQKpVoa2vjnrG7lKWlJSgUCrS0tMDr9WJubo4rw84Sj7sVOTc3h9HRUW4WYcUFrAujpaWFKy/1EgSszWLsa+mkJBmbRfpDCYF88sknCT24AGK8s6FQiKmsrGQaGxuZUCjE3Lt3j/uZhXXSRXt/R0ZGmAsXLjChUCihEy/aK8wwDPPgwQNGp9MxNpuNGRwclPS7K5VKZmVlRZK2e3t7GYvFwjDMukNudXVVUBtpNbN0dXXhwoULm34ePWOwV1QKCgqQl5eH8vJy1NbWxhmyly9fhtfrRV5eHgoKCvDgwQPu5iS7BG3030TbJuw2fXFxMSaBkRRsh92SjM0iY8TUIkgC+zZUoW9F5YPdbsfZs2cRDoc5oWi1WkHOwLSaWXY6JpNJ8hsQTJTNIvRGARFLGlFWVgav1yuZc25j7n7yvqEMRi6Xw2Qywel0prztQCDAZdkGsszPslMxm82SXJ8JBALo7u4GQN43lDWYTCb8+OOPkrUfbbMITc5MxJJmaDQaKJVKSW4zbnxH4ujoqKD6RCxpiFRLEZClZ0M7maqqKty6dSulbT58+BAXL14EsC6UkydPCmqDiCUNKSsrw8zMjODc+lvx559/AiD5WbKSurq6lC9Fvb29ANaFcuPGDUH1iVjSlKNHj6bU38KedUXbLFkXVrlTqaqqSqlYaJrGO++8A2B9KRJ6BkXEkqaoVCqUl5enTDBsADuxWbKUpqamhHemxMIGV7FCITNLFmE2m+F0OlNysCiXyyGXy4mfJVuRy+Woq6uLSVYtFpqmuVfqsUIROmsRsaQ5qVqK2MD2aJtFaIYuEimXARQWFsLj8SR1PfiZZ57Bzz//DI1G8+TvOhOko6mpiXOoiSUcDoOiKGKzZDsWiwVfffVVUm1EIhHk5uYCWBeK0JNtIpYMQK/XIycnR3TYQiAQ4HLtJmOzELFkCBaLBX19faLqBgIBPPXUU3EOORKwnaU0NDTg5s2bonwugUAAe/fuBUDiWXYEFEWhvLxc1El0KoK1ASKWjOLcuXPo6ekRXC8SicQl8nn66acFt0PEkkGUlZXh0aNHgg1dmqbx33//JWXcAkQsGUdzczOXsowvkUgEb7/9NoB1m2V+fl5w32md+YkQj8VigV6vB03TvD26NE1jz549MTYLMXB3AHK5HC0tLbh06RLvOomCtcXk6CNiyUAsFgsGBgZ4b6MTBWsTm2WHoFKpUF9fjytXrvAq//vvv8cFPvGtGw0RS4bS3t6Onp4e3rML8bPsYCiKgtls5jVD0DTNJVNkhSImtpfEs2QwNE2joqICd+7c2dIG2TijyGQyeDwewTl3ycySwVAUhdOnT3M7nUT4/X4oFIq4Q0QxyZmJWDKc5uZmOJ1O+P3+hJ/TNI19+/YBEJ9Zm4WIJcORy+Xo6OiIydsbjc/ng16vT9q4BYhYsgKz2QwACU+kZ2dnuYDvZBxyABFL1nD16lV0dnbGLUeTk5MAYo3b0tJSUX2Q3VAW4fV6cebMGYyNjUGlUiESiWDPnj14+PBh0hfMADKzZBUGgwFWq5W7VN/a2oqLFy9CLpdzF8zEGrcAmVmyEp/Ph9bWVuj1enz66acA1sIUhCYc3AgRC4E3ZBki8IaIhcAbIhYCb4hYCLwhYiHwhoiFwBsiFgJviFgIvCFiIfDm/8AlaXbtrRGgAAAAAElFTkSuQmCC)
physics-General
physics-
The slab of a material of refractive index 2 shown in figure has a curved surface APB of radius of curvature 10 cm and a plane surface CD. On the left of APB is air on the right of CD is water with refractive indices as given in the figure. An object O is placed at a distance of 15 cm the pole P as shown. The distance of the final image of O from P, as viewed normally from the left is
![](data:image/png;base64,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)
The slab of a material of refractive index 2 shown in figure has a curved surface APB of radius of curvature 10 cm and a plane surface CD. On the left of APB is air on the right of CD is water with refractive indices as given in the figure. An object O is placed at a distance of 15 cm the pole P as shown. The distance of the final image of O from P, as viewed normally from the left is
![](data:image/png;base64,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)
physics-General