Physics-
General
Easy
Question
Two simple harmonic motions are represented by
The ratio of their amplitudes is
The correct answer is: ![2 colon 1](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABoAAAANCAYAAAC3mX7tAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAJhJREFUeNpjYIAAayBeA8SfgPgXEF8A4mgG0oEaENdC9WMFB4E4Eoh5oHwtID4KFSMFLAbiNCD+T4omeSC+xEAe+E+qhh9kGkKSRZbQ4KOpRRxAfBKaSGgWdIJAvAGI3RjIBwQtUoJaosJAGcBrkQYQzwZiLgbKAU6LxIF4FRCzMFAH4LRoC9RH1Iro//gkcGFSLCJGP20BAGr+Ky09zVU7AAAAXXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbj4yPC9tbj48bW8+OjwvbW8+PG1uPjE8L21uPjwvbWF0aD60ualjAAAAAElFTkSuQmCC)
![y subscript 1 end subscript equals 5 open square brackets s i n 2 pi t plus square root of 3 c o s 2 pi t close square brackets](data:image/png;base64,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)
= ![10 left square bracket fraction numerator 1 over denominator 2 end fraction sin invisible function application 2 pi t plus fraction numerator square root of 3 over denominator 2 end fraction cos invisible function application 2 pi t right square bracket](data:image/png;base64,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)
= ![10 left square bracket cos invisible function application fraction numerator pi over denominator 3 end fraction sin invisible function application 2 pi t plus sin invisible function application fraction numerator pi over denominator 3 end fraction cos invisible function application 2 pi t right square bracket](data:image/png;base64,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)
= ![10 left square bracket left parenthesis sin invisible function application 2 pi t plus fraction numerator pi over denominator 3 end fraction right parenthesis right square bracket](data:image/png;base64,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)
![rightwards double arrow blank A subscript 1 end subscript equals 10](data:image/png;base64,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)
Similarly, ![y subscript 2 end subscript equals 5 sin invisible function application open parentheses 2 pi t plus fraction numerator pi over denominator 4 end fraction close parentheses](data:image/png;base64,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)
![rightwards double arrow A subscript 2 end subscript equals 5](data:image/png;base64,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)
Hence, ![fraction numerator A subscript 1 end subscript over denominator A subscript 2 end subscript end fraction equals fraction numerator 10 over denominator 5 end fraction equals fraction numerator 2 over denominator 1 end fraction](data:image/png;base64,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)
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A police car moving at
, changes a motorcyclist. The police man sounds his horn at 176 Hz, while both of them move towards a stationary siren of frequency 165 Hz. Calculate the speed of the motorcycle, if it is given that he does not observe any beats.
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6E6kXiWCwWZjQas6az56mrCy2dOR0kE4aJS9R5vHTz5s1JG7dQybYGLIYLOtWLxOEdfqaH58hLn1+SCcPEFHUeL83NzWWBQGDORi5EsqUBi+EdPdWL5OEhukyuF+Slzy9Op5OtXbuWGY1GdvHixbiOiSnqPF5KKUpzgzfgbPDYxQOjVC+SRzygnon1grz09JCot56DKPT29uKZZ57B5s2bcfjw4WhFiRisXLkSACSLX2cix44dw+TkJCwWC9WLOWA0GmEymQBkZr04ffo0AoEAduzYgaKiIrXNyVoqKythNBrxy1/+UnahdAlKak9hl9TCM2IyPb5O4yuph9eLVC+yPp+Ql55eEvHWFT117o3V19ejsLAwhf3OwsRoNMJut6OgoABmsxn9/f1qm5QwMzMzaGhoQG5uLtrb29U2J2tYuXIlXC5XfF6YRujs7MTk5CR56WmCe+s6nS5mWVlRp7DL/JHJYZjTp08LDZk6+tTBwzCDg4MZI+xvvvkmFi1ahP3796ttyoLAaDSisrIyrjoiEXXyxuYXo9EIo9GYUQ0YuFkvXnrpJeTm5uKHP/yh2uZkFeKnuEyoE5OTk3C5XLBYLNS5pxmuG4wxxTISUSdvbH7hPW6mPW5TvZh/Vq5cmRGdPQ8dbty4Ma5wAJEa4h0w/crzzz//PP9jZmYGP/jBD/Dll1/iZz/7GfLy8tJi7EJkYmICExMTKC4uRnFxsdrmRIXqRfoYHBwEcLPz1yr79+/HjRs3cOLECRL1NFJcXIzx8XF0dXVh2bJlijH2ME9dPPhB3tj8kWneOnnp6SGRuKla8NALT8UktEeYqJ8/f55ipmkiU2LrFEtPL9xD12qd6O/vB2MM3/nOd8hLV4F4smAEUafBj/SSKd46f3qjepEetO6t/+IXvwCg7fBQNhNP/RBEvbe3FwCwadOm9FhHZATnz58HQPUi3Wi1s3e5XCgrK0NBQYHapixoomXB5AC3HrELCwupB04jWg/B8Kc3qhfphdcLrTE8PIypqam4X4Ih1CEHuPWITYMf6UXrIRieukb1Ir1oNQTDPcM77rhDbVMWNLHi6jkA8POf/xwAPWKrgVa9MoBCL2qjtc5+amoKADSfgpvt8E5fiRwA9IitIlr1yij0oi5a7uzJU9cGSpqRw+Nk9IitLlrzyij0oi5a7ewB8tS1wMTEhOJgaQ6vMPfff78athEa5YMPPgAAPPjggypbsrDRWmcPkKhrCbkspNuuXLkCACgrK0u3PcQf4RkwWoLPIqnVEAChDvSugjaYnJwEY0xW1HOGh4eRm5tLoq4iWnvUnpmZwfDwMOUjq4wW4+rkpWuDmZkZADc72cgsmBzeeAn10cqjNnnp2kBrnT1AnrpW4KKem5sr2ZcDABUVFem1iNA0ly5dAgAsWbJEZUsIQDudPXDTU6cXj9RncnISgHwnmwNQ49USWni85fnIhHaQ88jUgLRCWyh66gRBaBsKexBiJiYmAADLli2T7CNR1wh8UIwGJgkto6X4PiEPibpGMBqNqKioIFEnZNFCWA7QVnx/oSKeriHmykeEuvDBD4IgCCWmpqbAGFMcZ7ktzfYQURgfH9eMR0ZoA/5iGsXUCY44R10O8tQ1BHnqRCRGoxHFxcWayX4h1IfrhFKdIFHXEJOTkxRTJyRcuXKF6gUhQWm2TBJ1jTAzM4OpqSlqvEQYfMoGyg8nOF988QUA+cm8AIqpawYKvRByDA8PY9GiRWqbAUCbE88tRHhMfeXKlbL7yVPXCDRISshx6dIlzQySxlpxh0gPPKWxrKyMUhq1DHnqhBz8zUEtQS8gqcvg4CAWLVpEnrrWoUFSQo6RkRHNTaJFLyCpi8vlUvTSARJ1zeD1eknUCQla9NQJ9eDLj0ZbqS6H5szWBnwOc4IQMzIyopmYOqDNhTsWEnygOtrYRo7WJuFfqPDHbC1ADVcbjIyMANDOtLuANhfuWEg4HA4wxlBZWRk9/EIxMnWZnJzU1Bzm1HC1wfj4uOI6lGpDmpF+JicnhXj67bffrliOYuoagIdetNZ4qeGqC/fUtZZGyJ/kqNNPLw6HAwDw4IMPRi1Hoq4BtNp4CXWJJ36qBvxJjjr99HL+/HksWrQIe/bsiZoNlUPxU/XhjZd+B0LM4OAgysrKNPcER6QfHnp58sknYw6c51D8VH14nExLjZc6e3XhqWtGo1FTOeocCsGkl/PnzyM3Nxc//OEPY9YHIfxCj1LqIG68WoI6e3VxuVxCloMWoRBM+piZmcFLL72Ebdu2xZXeSjF1leENorq6WmVL5KFGqw58UEyrog6Qt54ufvrTn2JychIbN26M66ktB6AfR00cDgcKCws156kDFIJRi8nJyYyIp5O3Pv9wL/2OO+6Iuy0Kok4/Tvrhgx8mk0ltU2ShEIw69Pf3gzGGhx56SJPxdDHkEM4v3Evftm1b3MdQ+EVFent7AQCbNm1S2ZLoUGefXvig2O7du9U2JSbkEM4f3EvftGkTDh8+HHcH/5Xnn3/+ef7HxMQEJiYmUFxcrJlX1rOVmZkZ/OAHP0BeXh5sNpva5kSF6kX6mJycxO7du1FbW4vNmzerbU7cXL9+XZiUbvny5WqbkxW88sor+PnPf463334b+fn5cR8neOrU46aX06dPY3JyUvMNl+pFeunt7QVjTPNPb2KMRiPsdjtuv/12mM1m2O12tU3KeM6fP49nnnkGTzzxRMITuoWFXyg+lh74YxXPO9U6NGCaHmZmZvDyyy+jsLBQ01kvStx3330Abi6UTSTPzMwMGhoasGjRorjy0iORiDp5ZfMP99J37NihqWlVlaAB0/Rw+vRpBAIBbN68WfMDpHIYjUaYTCYMDg6iv79fbXMyluPHj2NychJ79uxJTh9YBE6nkxmNRmY0GpnT6YzcTcyRGzdusMLCQpabm8sCgYDa5sQNrxfNzc1qm5KV3LhxgxUVFbHc3Fzm9/vVNmdOmM1mBoD19fWpbUrG0dnZyXQ6Hdu2bRubnZ1N6hyS7Bfy1ueXTPPSOWJvnbyw1MO99B07dqCoqEhtc+YEhWGS4/z583jsscewceNGdHR0JP20Fpb9IoYyHlIPz3j58ssv8bOf/Qx5eXlqm5Qwg4ODeOmll1BWVkZZDiliZmYGGzduxJdffok333wzoUwHrULZMIkxMzODv/mbv8H//u//4p133plTHZDNUydvfX7gXnp9fX1GeekcXi8AWn4vlRw7dgyBQAD19fUZ76UDt7Jh7r77bpjNZnR0dKhtkuaZcxxdjFJcxul0MpPJxIxGI7Pb7UnHiIib8Fj65s2b1TZlTojHXKhezJ1z584xABlfL5R47LHHGAD2xhtvqG2KZklFHF2MoqhzTCYTA8A6OjrmfLGFzOHDhzNucFSJ5uZmBoABIGGfA+JB80wfHI0GCbsyqRZ0xuIQdWrAc6ejo4MBYAcOHFDblJTAn+IAUDbMHDh8+HBW1YtokLBLmQ9BZywOUacGPDey+fHaYrFQGCZJeEdvsVjUNiVtkLDf4tixY/Mi6IzFIeocasCJk6k56YlA4bnE4YKejR19LLiwHz16VG1TVMFut7O7776bAZgXQWcsAVFnjBpwoiyEx2txeI7qRWz4k1s2d/Sx4MJeXFy8oF5Q4uGW+RR0xhIUdWrA8bNQHq/F4TmqF9HhT27Z3tHHQ0NDg1BnFoLXzsMtANiePXvmTdAZS1DUqQHHx0IRdDEWi4XqRQz4k9tCqhfRGBsbE6YUyFavXRxuMZlM7LPPPpv3ayYk6hxqwMosREHnUL1QZiHXi1jwcEy2ee3p9M7FJCXqjFEDloMaLtULOdrb2xd8vYiFOBxTXFyc0XWns7Mz7d65mKRFnTFqwGKo4d6C6sVN7HY7Ky4upnoRJ2NjY2F1J9PEXSzm6fbOxcxJ1BljrL6+fkE3YGq48ix0YedPbVQvEkdJ3K9du6a2aRKuXbvGOjo6wsR827ZtaffOxcxZ1Bm7+SPwAdT29vZUnDIjoIYbHXGHv1DrRX19vdrmZCyR4s7DGVpwEjo7O8OSRrQg5pyUiDqH/wDFxcVZ/5ISD7dQw42OuMNfSPXCZDKxsbExtc3JCri4FxQUhHnvb7zxRlrv8djYmMQrLygoYBaLRRNizkmpqDOW/d6ZONxCDTd+xB5XttcLemqbP+x2u6zAWywW1tHRwZxOZ0ra5NjYGHM6nayjo4NZLBbhtxULuVYdlJSLOmNS70wLj0upgLzzuSHu8LPJa6d6oQ5c4MvKysLCIOI6ZjQamcViYc3Nzayjo4N99NFHYedwOp2sublZmAZFLN7iT1lZmaaFXMy8iDonshFnqrh3dHSQd54iIuOkmey1i+uFxWKheqEyTqeTtbe3CwLNP3KibzQaWX19PTMajbIibjQaWXt7e0au06xjjDHMI+Pj43jhhRfQ2dkJACguLkZzczMsFst8XjYldHZ24oUXXsD4+DgAoL6+Hu3t7SpblR2I6wWvEyaTCQUFBWqbFhNxvTCZTGhvb6clHzOMyBXdhoeHMTU1JfxtNBphNBrTbVZqSFfvkSlpSjxFSfwYRl7Y/BFZL7SS3RBJZL0oKCigUAuhSdIm6pxoaUpqCTxvsOIUJT4YQmKeHrTY6cvVi0yJqxILl7SLOkcuTUks8PMtpjw9KTLXlBqtusjVC14nIge55oOPPvqIOngio5n3mHo89Pf3w+FwwOVyCfFr4Gb8na9gHxmzTCbe5XK50NXVpXid5uZmio1qCF4v+vv7JfHOsrIyrFy5Muz3KigoQFlZWULXcLlccDgcGB4eDouzFhQUwGQyobq6GiaTae5fhiDShCZEXcz4+DhcLhcGBwcxPDyM4eHhuI4rLi6WCHJlZWXY34ODg3C5XCgrK0NZWRkqKythNBpJyDMALvCJ1AlA2vmXlZVhyZIlwt+8TvB9ZWVlJORZisvlwvT0NKqqqtQ2ZV7RnKjL4XK5MDw8jCtXroR52JEj2EoYjUZUV1ejrKwsc0e0iTCU6kRkFkM0qF6kj1AohIsXL+Lq1au46667sG7dOuTl5cHj8aC8vDwtNuTk5IAxhtnZWeh0urRcUw0yQtTjYXx8XFHwMzo9iZgT4nowNTUV5uVTvUgPAwMDMJlMMJlMWL9+Pa5fv45nn30W+/btw6VLl/DLX/5SIrJzEXulY8lTJwiCmCOBQAB33nkntm/fjtdee00Q71AohG3btqGvr0/iOQ8MDODq1avYuXNnUtcsLS3FyMhIVnvj0chR2wCCILKXvr4+AMCOHTvCRDYvLw9dXV0S4fX5fDCZTEjW19y/fz9GR0eTNzgLuE1tAwiCyH4uXbqEVatWhW3Ly8tDY2Oj8LfH48Hq1avBGMPFixeh0+lw1113hYVLXC4XPvnkEwDAihUrhPBZKBTCoUOH0NbWBsYYTp48CZ1Oh5qaGhQVFQG4+dTQ19cn+wTg8/nw3nvvAQAqKipkwzeBQAAXLlzAli1bANx6olAqLz6neByBw8cZVq9ejfz8fPT39+PP/uzPMD09jatXrwrlxPeAfwfO008/LekYyVNPMzMzM3EP5BHZy+TkpNompIW77roLALBr1y7YbDbJ/k2bNgmidOnSJezbt0/xXBs2bMDatWvBGMP4+DjWrVuHNWvWgDEGr9eLZcuW4etf/7rkOI/HgwceeABLly5FXV1d2FNAKBTC448/ju9973vCeVevXo2amhoEg0EAN4WUH//oo4/C6/WitbUVV69eRW9vL1atWgWn0xl2zVOnTmH58uWYmprC9evXYTKZkJ+fD7/fDwB4/PHHsXjxYlRXV2NkZARdXV3YunUr1q5di+vXr2PXrl2oq6tDb2+v5KlleHgYu3btwtjYmPyNSnNe/IJn165dwqxv9fX17J133mE3btxQ2ywizaxcuVKYOOrw4cPsP/7jP9Q2ad5Ys2aN8CKXwWBgbrdbsazb7WY6nY6dOHEibHt3dzfT6XTs4sWLwrampibJtpqaGgYgbBk5v9/PHA6HsAi0eF9tbS3T6/Vsen2dzb0AABXCSURBVHpaci2z2cxmZ2clx7/44ovCOfx+f1hZxhjzer1Mp9OFlePH820Oh0O4L9u3b2ezs7PM6/Wy7u5uNjs7K9yHffv2SZbE6+npYY2NjYpL5ZGopxmlWeEqKipYc3NzVjdu4iaBQIDdcccdkjqwaNEiZjKZWHt7O/v000/VNjNlBINB1tjYGPZdzWYzGxkZkZRVEnWbzcZ0Oh27fPmyZJu4rJyocyJFnYvv2bNnJWVLSkoYgLDrKZ078rzi7xC5TSz+J0+eZDqdjvX398veN349cYfDbRPbFQmFX9LMuXPnsGjRIkkc7NKlS3jhhRfwl3/5l8jNzYXZbMbp06fD0jSJ7KCwsBCnT5+WbP/v//5v9Pf3o6GhAd/4xjdQWFiIxx57DL29vRkdrsnLy8ORI0fgdrthMBgAAHa7HcuXL5cNycjx7W9/G2fPnhXi8oFAAMPDw0kPqALAW2+9BQD4xje+Idm3Z88e6HQ62fBHLEpLS2Gz2bBt2zbodDqEQiF88MEHiuXvvPNO2e38+K6uLsEGn88HAFHTPUnU00xhYSGeeuqpqBWFN+6nnnoKd999N5YvX46nnnoKvb29FI/PEkwmU8wpDb744gt0dnbikUceQVFREb75zW+ioaEB7777LmZmZtJkaeooLy/H+++/D4fDITg1u3btgsPhiHlsSUkJtmzZAo/Hg6amJtx5550YGRmZkz1ut1uxHd5///0AgM8++yzh8+bl5eHpp59GKBTC4cOHsXjxYvzrv/5rwp1DVVUV9Ho9Xn31VWHbW2+9hd27d0c97rZMmNc82/jDH/6QUHmv1wuv1yt4d/xV9vr6elXmH//1r3+No0ePpv262caf/MmfJFSeT5Fw7NgxAMBDDz2EyspK1NfXIzc3dz5MnDMejwelpaVhWR9VVVWYnp4W8tSbmppQVVUVM6+8tbUVzz77LLq6ujA7O4uTJ0/i3/7t3+ZsIx8QTSX8hauf/OQnuH79Onw+H/r7+xM+z549e1BXV4eBgQFUV1ejs7MTTqcz6r26rauray62EyrAG3dubi4OHDiQ9usPDAyA6o36vPvuu3j33XdhNBpRUVGhtjmyXLp0CcFgUPLmLs9Tt9vtceWVc0H/8MMPJamRybJq1SrY7Xb8+7//O4xGo6xQrlu3LuHzulwumEwmvPrqq9i5c+ecXoIym82oq6tDV1cXFi9ejDvuuENI0VTitshUHGL+GR4eRkNDQ1xlc3JyMDs7K/y9fPlyYeZKtSadqqurE2KjRPJ0dnYm3TlWVFTAaDTiwQcf1Kygc/7lX/5FdjoG7r3r9fqY53j22WfBGEvpPDHf+c53cPDgQXR1deFHP/pR2L5PP/0UAFBTU5OwKJ84cQKMMVRUVMz5rdaioiI0Njaira0Nv//979HY2BjznLfR3Bfp5/jx44r7IkW8pKREEHGj0YjCwsJ0mBiVgoICmjNljszMzGDz5s2S31sJPulYZWUlHnroIc2GW+R45ZVXcN999+HRRx8N2z4wMAAA+PGPfywRqomJCTDGMDo6iqVLlwrbQ6EQ8vPzASBsoDQUCoWFUQKBAJYuXRp1Dpny8nKYzWb09fWhp6dHsC8UCuEnP/kJXnzxxTCv+OOPP5bYIMdXv/pV6HS6MHt4J8Hx+XzC+Njnn38e9elj06ZNaGtrw9DQEN5++23FcgKKeTHEvHDu3Lmw1K6vfOUrkhXQd+zYwc6dO8cCgYDa5hLzxI4dO6LWg7KyMnbgwIGMf4/BZrOxxsZGZrVamV6vZy0tLcxmszGr1SrkfIsJBoNCiuCJEydYS0sLY4yxlpYWptPpmMFgEM7Z2NgobGtsbGTT09NCmqPVamWNjY3M6/Uyt9stXA8As1qtQkpgMBgUUgf37dvHbDYbKykpYVarVUgl9Pv9Qk68+Hi3281qa2uF7du3b2eXL19mTqcz7Ds0NjYKdvHrNDQ0CH+bzWZms9kU884Zu5nrb7Vao5bh0IReaea+++7Df/7nfwp/FxYWCo/RNLf7wmBychLLli3D//zP/wjbeFiN14NMWIA7HsQDpfw1++vXr2PJkiVYv369bHyYvwofOUUAfy2fTw8QCoXQ39+PxYsXy5bjUwR4PB5cunQp7BqRr/aLpx/49re/jZKSEok9kccDUDwvv6Z4eoCBgQFMT0/DZDLh7NmzkmwYuVf+OY8//jj+7u/+DmvXrpXdLyZrRT0QCMQcUFADvvrS/fffD6PRiOXLl6ttEqECx44dw8TEhFAPtBBWI7RJKBTC4sWL8X//939xxeizTtRPnjyJ48eP495775X0rgRBEJnGqVOnMDY2hpdffjkuUc+6WRqvX7+utgmEyvh8PtlUT4vFIjym9/T0hHX699xzD44cOZI2GwlCiVAoJIRn+IIiv/vd7+LPpEl04CMTsNlszGw2q20GoRLBYJC53W5mMBiEwTGn08n8fr9Qxuv1CvvNZnPUSaYIIp3weWJ43VWaG0aJrPPUCSIvLw/l5eXYvHkzhoaGYLPZJCmYJSUlKC0tRUVFBXnohKYoLy9Hf38/pqenFQeTo5HjcrmwZs0a6HQ66HQ6NDU1IRAIyBZOpGymEQgEMDAwgNra2qiPOXy/0keJUCiEnp4e4WWGmpoaALdeboj8eDwe4Vg+4X/k5+TJk6m7AVkMn9NbjMvlwh/+8AcSdEKTVFVVYcuWLUkne8hOBSt+VGXsZkgj3rJqk0z4xWw2hz2uy+H3+xXvAQCm1+tlj3O73UIZm83GvF6v5Lx6vV7YL0cwGGRms1nIkw0Ggwl9v4VIS0sLAyAJrfD7TfeQyEZyHA4HgsEgGGNhs6WJJ2wKhUKoq6tDPGXTgcfjCfuEQqE5n7Ovrw/vv/9+1FeWL1y4gJaWFuEeiD8tLS2QmxxtYGAAq1atgsFggN/vx86dO8NyYIGbrwLfe++9AKD4yndeXh7Wr18PAPjmN78ZNkESIY/b7QaAsDcSAWDjxo04d+4c3UMiK8mpqqoSKndVVZXQENra2oRCFy9ehNvtRjxl00FLS0vYhy8RlQq4uMqxePFi/OhHP5IVg87OTnz/+98P2+bz+VBdXQ29Xo933nlHk3nz2czvf/97AAi7762trfjud7+b0jlECG0SCoWE+ccXEpL51OUqe1VVlex2uW0ulwtNTU1CfNnlcqGkpESII3OvWhwnbmpqkpynp6cnLHbscrmEOHNfX1/YJ9LznS/Eb62J4RUn0o7vfe97ADCvXqHH44ka40/XvdEiQ0NDYU9eLpcL77zzjmTyJiI7aWhoQGlpqeB8LhQUF8mwWq1xn4SX9Xg8eOKJJwTPvaenB/n5+fD5fLDZbLDb7di6dSuamppQUVEhhC3a2trQ09MjnM/lcuHQoUPw+/3CbGfxvB7Lbfjoo4/w8ccfpyw0E4v33ntPEnoZGBjA6OgorFbrvHuF3d3dYaGgYDAoiNk///M/z+u1tQr/3fmTVygUwhNPPIE333xTTbOINPLwww/DarVKwm9ZT2SQ3ev1yg4uyaFUlg/6RQ4I4o+DheIBKj74KB7YtFqtwkQ+HIfDEZdNZrM57BNpQzzHy9yWqBgMBsl1+Hm6u7vD1mdUWniXl4/2HflgtdJgKocPEMYql83wwenGxkbG2M3763Q6VbaKIOYfiXrxGdXiQamskjBCIbNETtTj7VhSTaKizjMpIoEo24VnBzmdTmF75Hfj143nE02suZgZDIa4v0M24nA4hHtls9kkTgJBZCth4Refz4e2tjZhuaxoJFI2UbZs2QLg5sokNTU1YTnbWuPChQuyWS8AYDAYsHPnTmGgzmg0CllD9fX1ssfwdRPlPrEW6Q2FQnjkkUcAAGfOnEn2K2UFV69eBXBz2oje3l6Ko2choVAoLMQq986Mz+eThGBDoZBQNhAIyA6m8nMrDbQGAgHhvLysVt7ZEUQ9FArhwIED8Hq9MQf1EimbDEajEXxFJrvdjlWrVqG2tjYt8fFE+elPfyrJeuF87Wtfk2zjg61DQ0Mpt6W+vh6jo6Po7u5e0AOkADA+Pg4AOHjwIMXRsxCPx4PFixejpaUFW7duRU9PD44ePQrGmPCi35o1a1BaWiosUO1yuVBbW4v8/Hy89dZbcLlcuPPOO1FaWgqv1yuc+/Dhw/iLv/gLtLS0oLS0FCUlJcL+np4ePPDAA1i6dClGRkbQ09OD+vp6PPLII1i6dGlci2jPN4Ko19fX4+///u/jEoNEyiaL0WhEMBgUvNMzZ84oerdqEQgE8MUXXyR8H8xmc8ptcblcOHPmDMxms/Cks5D57W9/CwBwOp2USpqFrF69Gh9++KGQAbd48WLhNwduLo4euSj1J598IojzxYsXkZeXh5GREdTU1AgrGe3fvx8rVqyAz+dDX18fvF4vfvOb32D58uUIBoP49a9/LThkra2tWL16NV5//XX86le/gk6ng8lkksyTnnYYuxkbdzgcktiM3Jui8ZSda0w9kmAwKAy+zjeJxNS7u7sVY7V8XEDurUWDwSCJw89loDQYDGr27V614KvsENkHn/Dq888/D9ve3d0d9jdf0YivciQ+Vm4VIb6Pr2rEP2vWrGEA2NmzZxljjLW2tjKdTscuXrwoe72RkZFUft2EyWlqasKaNWskOdgDAwOSN0UTKTsXampqwuJTeXl52LNnT8rOnypcLhf+6q/+SnbfU089BQCShYUDgQCGhoZS+n34E4zD4SCv9I+cO3eO4uhZCk9R3LRpU1gOeiJPqGVlZZJtv/jFLwDc9MDFLzf+6Z/+KcxmM5YsWQIAwr9K65SK1yZVC8UsC3EKmDgtL1pZ8fwo4uN5+iMiUh3FGSHcy+TzsHCvlWeYzLfnpWS7HNw7jga/Z/zJxu/3M4PBIHkqmcvcL93d3cI2ue/DU/oIIpsQrxlqNpvDvHFONE/9xIkTEk+9pqaGmc3mmOuAnjx5UvDoY11PDaKKOofnPccqK564in94Slm8291uNzObzSwYDIZ1JPOdc62UUqiEw+GISzBtNpsg2Hq9XvI9lK4rDsMoTaYWbZI1/qF55Ylspbu7O2ze8RdffDFMkJMRdQCZL+qqXp0gCGIOBINBZrPZBHEXx7kTFfXa2lrJOcTwSILWRV1xmgCCIAgtIs4zz8vLw86dO3H58mXodDp88sknSZ+3srISOp0OTz75pCQu7vF40NfXp35mSxyQqBMEkVF4vV7U1dWFCWxpaSmAW4OYsZBby9hkMgEARkdHUV5eDofDAY/Hg4GBATQ0NOBb3/oWdDqd9tdBVvU5gSAIIkHcbjcrKSlhVquVOZ1O5na7mdVqZQaDgU1PT7NgMMicTqcQktm3bx/zer3M6/UKIRKDwcAuX74sSTl2OBxhcXpExOudTicrKSlhANj27dvZyMiI7PXUTGvUMZYBzxMEQRB/xOfzYWRkBKtXr0Z7ezt+85vfYP369di2bRvy8vLg8/nwzDPPhHnyq1atAgDJNLyHDx8WvHzx+V977TX89re/xVe/+lVs2bJFWON2w4YNkvN+//vfl73eM888E3WJy/mCRJ0gCCKLoJg6QRBEFkGiThAEkUWQqBMEQWQRJOoEQRBZBIk6QRBEFkGiThAEkUWQqBMEQWQRJOoEQRBZBIk6QRCqEgqF0NraqukF5tPBhg0bwtZKTRYSdYIgVMPn86G8vBxLlixBeXm5sD0QCGBgYAC1tbXQ6XRxz44oPkbpuA0bNgj7+ae7u1vxnB6PBzk5OZJjampqws4vVyYR23ft2oWqqqq5L16t0pwzBEEscILBINPpdKy/v1+yr6amhhkMBmFCrVgLV/j9fmEt0X379imu9ev3+2Un7Jqeno5pL59HXa/XS9ZH5Ygn9kpmXnWv1yu7/mki0NwvBEGowoYNG1BeXh51LdnS0lL4fD7Mzs4qTo7l8/mwfPlyMMZw+fJlYfIuOfbv3w+DwSBZZzkePB4PVq9eDZPJhLfeekvRnpycHDDGotocDZfLhXXr1uF3v/udsB5rIlD4hSCItDMwMAC73Q6LxRK13L333ht1fygUwsMPPwzGGEZGRqIKeiAQQFtbGx5++OGkbE4XRqMRBoMB7e3tSS3KQaJOEETaaWtrg8lkQlFR0ZzOc+jQIYyOjuLEiROSKXQj6evrAwA88MADaG1tFVZPSgdycXzxJzKO/uSTT+KVV15JykYSdYIg0orP58PQ0BDWrVs3p/nGuefNGMPOnTujlg2FQti1axcYYxgaGsLBgwexdOnSuQ9Kxsk999yD6elpsJvrQoMxhp6eHuh0Omzfvl0SDlq+fDkA4MKFCwl76yTqBEGklQ8//BAAsGLFijmdh3ve+/btw6lTp1BSUgKdToeSkhJJNkteXh5mZ2fh9XrhcDhQUlIC4OYSdukQ9pdffhn5+fnC34FAAI8++igYYzh27Jikc+OZQHa7PeFrkagTBJFW/uu//gsAwkQuGS5evAjGGKampvCtb30LPp8PXq8XhYWF2Lp1K2w2m+SYkpISVFVVwev14uTJk9DpdDCZTJKFpqNht9sV0xfjTWHka6xevHgx6n0gUScIQvN4PJ6kBgCVaG9vF+LpJSUlOH/+PHQ6HXbt2hVVrJ9++mlYrVYA0mXuomE2mzE7OxsWShF/YoWUenp6YLfbsX37dmGZvFRCok4QREaTl5cX9ndRURHMZjMAxHxD89ChQ9DpdPjkk09S2tEo4fP5sHXrVnz961+XDbukAhJ1giDSSnl5+bwvyBzvICzPvlmxYkVaFomura0FYwz/+I//OOfwkxIk6gRBpJU///M/BwB8/vnnczqP2WyGTqeDy+WS7JuengaAuF/eiZbfnipOnTqFoaEhvPjii2FTIkSDP3EkAok6QRBpZf369QCAq1evzuk8JpMJAHDixAlJ6KSzszOuPPienh6cOHFCEsJJNT6fD3V1dfjrv/5r7N69O+ZTgc/nA0CiThBEBlBUVASDwYDz589HjWMHAgEh+0POG8/Ly0N/fz/6+/vR2tqKUCiEUCiE/fv3Y3R0FF1dXYJ4DgwMICcnR0hfDIVC6OnpwZUrV/D000/HFXr54IMPAAAff/yx4ktBYjv5rJPit15ff/11Sdjl1KlTkhkqL1++DOBmB5hwWCjpWWMIgiCSxOFwMJ1OpzgxVk1NjWTSLShM7OV0OoXJvPDHCb0iJ+jyer1hZaxWK3M6nXHZ6na7ZScBM5vNYfbIlQHAzp49q7iPfyIn/1qzZg1rbGyMOZGZHDShF0EQqrBhwwbcfvvteO2119IySJkp8InDaEIvgiAyiq6uLrz//vsYGBhQ2xTNEAqFsHr1aly4cCEpQQdI1AmCUIm8vDz80z/9E1555RW0traqbY7qeDweLF68GHa7HWvXrk36PCTqBEGoRklJCd5++20AWPDL2bW2tuLTTz9FdXX1nM5DMXWCIIgsgjx1giCILIJEnSAIIosgUScIgsgi/h/f9o4WRH0szgAAAABJRU5ErkJggg==)
A police car moving at
, changes a motorcyclist. The police man sounds his horn at 176 Hz, while both of them move towards a stationary siren of frequency 165 Hz. Calculate the speed of the motorcycle, if it is given that he does not observe any beats.
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)
Physics-General
Physics-
A motor cycle starts from rest and accelerates along a straight path at
. At the starting point of the motor cycle gone when the driver hears the frequency of the siren at 94% of its value when the motor cycle was rest? (Speed =330
)
A motor cycle starts from rest and accelerates along a straight path at
. At the starting point of the motor cycle gone when the driver hears the frequency of the siren at 94% of its value when the motor cycle was rest? (Speed =330
)
Physics-General
Physics-
A piston fitted in cylindrical pipe is pulled as shown in the figure. A tuning fork is sounded at open end and loudest sound is heard at open length 13cm, 41 cm and 69 cm, the frequency of tuning fork if velocity of sound is
is
![](data:image/png;base64,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)
A piston fitted in cylindrical pipe is pulled as shown in the figure. A tuning fork is sounded at open end and loudest sound is heard at open length 13cm, 41 cm and 69 cm, the frequency of tuning fork if velocity of sound is
is
![](data:image/png;base64,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)
Physics-General
Physics-
An open organ pipe is closed suddenly with the result that the second overtone of the closed pipe is found to be higher in frequency by 100 than the first overtone of the original pipe. Then the fundamental frequency of the open pipe is
An open organ pipe is closed suddenly with the result that the second overtone of the closed pipe is found to be higher in frequency by 100 than the first overtone of the original pipe. Then the fundamental frequency of the open pipe is
Physics-General
Physics-
In an experiment with sonameter a tuning fork of frequency 256 Hz resonates with a length of 25 cm and another tuning fork resonates with a length of 16 cm. tension of the string remaining constant the frequency of the second tuning fork is
In an experiment with sonameter a tuning fork of frequency 256 Hz resonates with a length of 25 cm and another tuning fork resonates with a length of 16 cm. tension of the string remaining constant the frequency of the second tuning fork is
Physics-General
Physics-
A uniform wire of length L, diameter D and density S is stretched under a tension T. the correct relation between its fundamental frequency f, the length L and the diameter D is
A uniform wire of length L, diameter D and density S is stretched under a tension T. the correct relation between its fundamental frequency f, the length L and the diameter D is
Physics-General
Physics-
If you set up the seven overtone on a string fixed at both ends, how many nodes and antinodes are set up in it?
If you set up the seven overtone on a string fixed at both ends, how many nodes and antinodes are set up in it?
Physics-General
Physics-
If in a resonance tube a oil of density higher than that water is used then at the resonance frequency would
If in a resonance tube a oil of density higher than that water is used then at the resonance frequency would
Physics-General
Physics-
Two vibrating tuning forks produce progressive waves given by
. Number of beats produced per minute is
Two vibrating tuning forks produce progressive waves given by
. Number of beats produced per minute is
Physics-General
Chemistry-
Silica reacts with magnesium compound X, X reacts with dil HCl and forms Y and Z If two moles of HCl reacts with one mole of X then how many mole of y will be formed
Silica reacts with magnesium compound X, X reacts with dil HCl and forms Y and Z If two moles of HCl reacts with one mole of X then how many mole of y will be formed
Chemistry-General