Physics
General
Easy
Question
As we go from the equator to the poles, the value of g…..
- Remains constant
- Decreases
- Increases
- Decreases up to latitude of
![45 to the power of 0](data:image/png;base64,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)
The correct answer is: Increases
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Match the column
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/485144/1/889850/Picture1.png)
Match the column
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/485144/1/889850/Picture1.png)
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As shown in figure, a block A having mass M is attached to one end of a massless spring. The block is on a frictionless horizontal surface and the free end of the spring is attached to a wall. Another block B having mass '
' is placed on top of blockA. Now on displacing this system horizontally and released, it executes S.H.M. What should be the maximum amplitude of oscillation so that B does not slide off A? Coefficient of static friction between the surfaces of the block's is
.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARAAAACJCAYAAADkFGcqAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABOuSURBVHhe7Z0HzFRFF4YPYkdRAbvYC6KgYkPsKEVFJaio2HtFCEGjiYkoBo1BTew9igWRpkaxK4odsWFXEBQLiKiIDcv/88y/B6777367XO4H+819n2Szu3fv3jrzzjlnzsxt9J95mBBCpGCpwrsQQiw0EhAhRGokIEKI1EhAhBCpkYAIIVIjARFCpEYCIoRIjQRECJEaCYgQIjUSECFEaiQgQojUSECEEKmRgAghUiMBEUKkRgIihEiNBEQIkRoJiBAiNRIQIURqJCBCiNRIQIQQqZGACCFSIwERQqRGAiKESI0ERAiRGgmIECI1EhAhRGokIEKI1EhAhBCpkYAIIVIjARFCpEYCIoRIjQRECJEaCYgQIjW5EJCZM2fayJEjbcaMGYUlQogsaPSfeRQ+R8nQoUPt7bfftqlTp1qPHj2sZ8+ehV+EEItKtBYIwnHhhRfa008/bRMnTrRZs2bZUkvJYxMiS6KrUWPGjLGBAwfa2LFjbfbs2damTRtr166dNWrUyP7555/CWkKILIhGQHBRBg0aFASEmEfr1q2tV69e1rdvX2vZsqU1b97cGjduXFhbCJEF0QjIhAkTbM6cObbxxhtbt27drE+fPta+ffvw2zLLLBOsD6wQIUR2RCMgWBxdu3a1fv36WadOnQpLF/D3339b5PFiIRY70QhIq1atbI899ih8+zdYH4iHgqhCZEsuahTCgfvy559/FpYIIbIgN00yAiILRIhsib5GTZo0yaZNm2Y///yzunGFyJioBWTEiBE2ZMiQkIn6xx9/FJYKIbIiSgEZPXp0SCYjC3X69Om24oorhpdcGCGyJaoaRRLZ4MGDbdy4cfbDDz/Ypptuap07d7a2bdvasssuKxdGiIyJRkAeeeQRe/jhh+3999+3pk2bBuHo379/GEDXrFmzkEymTFQhsiUaAWGwXIsWLax79+42YMCAkFTmkAMi60OI7IlGQI499li79NJL7eCDDy4sWQBduMpCFSJ7chFV9EQy0tmFENmRCwEBREQxECGyJRcCMnfu3BADkYAIkS3RC8ioUaPs008/DUP9ERIhRHZEKSB06d5000121VVX2ZQpU4L1oblAhMieqASEzFN6YoYNG2bvvvtuyD7dZ599wiRDJJIJIbIlGgHBVRk+fHjIQN1zzz3tggsusNNPP9222WabIB4kki299NKFtYUQWRCNgDRp0sS23nprO+SQQ+zkk08O86A6PqXhX3/9VVgihMiCaASkS5cu1rt3b+vQoUNhyb8hBqJeGCGyJcogaikURBUie3IhIKSxKwtViOzJhYAwGxnzoUpEhMiWqAWEof3XXHONvfPOO5qRTIh6IFoBueWWW8LrmWeesS+++ELD+YWoB6ITkDvuuCP0xjz77LO2/PLL26GHHmodO3YM3bxCiGyJRkBwV8hCHT9+fEgc4+l0p556qh1zzDG25pprhiQyzYkqRLZEU6MmTpxov/zyS8g85fGWJ510km2yySaFX+edqMRDiMyJplaRgXrEEUeE9PV11123sHQBCIjiIEJkSzQCQro61kcpEA/S2JWJKkS25MKuR0CIgWheVCGyJRcC8vvvvwcLRC6MENkSvYDQnTt58uSQjSqEyJZoBYRpDK+44or5yWS//vqrXBghMiY6Afnqq6/s5ptvtiuvvNLGjh1rM2fODAllyy23nIKoQmRMo3mtcjTNMlmoJJS99957IXBKHgjPx0VEmOLwuOOOC929QohsiMYCGTp0qD3//PPBAmFmsm7dutmRRx5pffv2DXkhWCAajStEtkQjIARJV111Vdtll12sZ8+edtZZZ9muu+4afiO1XTOSCZE90QgIs6/zfNw+ffrYzjvvXFi6AAVQGx7JOVz47O/Jz8A6dNWLxU9UMZByEBt57LHH7PDDDw+jc0Xtggt67733hs/EsbAafTpKiiovvvMbAuJWpS8H3n1dhGWLLbZQ7KueiLYbNwkJZMkCJmqXt956y1544QX78ccfbbXVVrOmTZvOf+eFm9q8efOwrFmzZrbKKquEZXxOLuPFfWcyqUmTJhW2LrImVxbIYYcdFuIjonbh4WA8URBL8cQTTywsTcebb75pt99+u22wwQZ23nnnFZb+D8oDvXUMccAFwqJp0aJFcINF9URvgXzwwQc2derU8MCpHGhlg+e3334L92mFFVYoLDG75557grDceeeddskll9jFF19sd999d/jtoYcesssvvzwsv+666/7V07b66qsHFwdxKAZXacaMGbbyyiuHXjqsm48//tiuv/76whqiGqIVkI8++igUhmuvvdbGjRuncTANBCo8I6s9QEoD8Morr9iIESOCW0NeD48sfeKJJ+zcc8+1Tz75xNZbb70gFhMmTLCrr746/A/8SYSl7j3LcIV4CBnd/bxvtNFGQcBE9UQnIEwsxIO1PamMQtK6dWtlojYQsBao3G41YI3wfe211w45Pb169bITTjghiMycOXPC96OPPtrOOOOMECzF0kxSLu7FdmfNmmVDhgyxkSNHhvdp06aFGIqonqgEBBP3vvvuCy0WtGvXznr06GGbbbaZrbTSSgqiNkC4Z1gSPCDdIVbB/cTtSE4eRTAVvEvXG4xS953fWA+r5rvvvgvCg9Uzd+7cwhqiGqIRkAceeMBefvnlUAB22223kEiGWYqIUNgoMIqBNDyo1Nw3LI4kfC9nUfpyHuVRznVlm8yViwXDLHbkD1FufvrpJ3v88ccLa4lKRCMgmJ5ucZxyyikh8u7QAhFcK1eYRG2DIBRbEczvUs6idPcHy6Vcw0FZ4MU8uo4vE9UTjYDsu+++oSXx9PVSlIrGi9rGY1fJXhmnWECo/CxLWiZ8LyU0WDCzZ88OvTiM3r7hhhtCzghuUNeuXQtriUrkIg+E2MiYMWNCJqoyEmsb8jPoPWOCbIKjwGhq4h5JvvnmmyACxcsJjHoglP/xqA96afr37x+WiWzJRZNMsKycuStqC3dNvBsXikUC6JUptTzZizJ9+vSwHbkl9Uf0Fgj5AwRXyTrkWTFYIaJ2ue2222zUqFHWvn370P2O64KgFBdT/+7dvnz3WAkiBCSLvfTSS6EHh1yPVq1aheUiO6IVEBKN8Gkxdb/88svg75522mlyYWoA3JQ33ngjJG25deAWIl2qjIUhYYws0WQ8oxgXjyQe52I5vTBMbYmAMLmUT+uQhOK/4YYbhrIhFp7oBARrg4xEBlBRiOiqo2uOzFR8ao2FWfKQ6IdlyD0BKjZwv7AePBmM77ggnp5eSkz4jeXEQ1iXoCufSTLjHVhGVz54dqqD4GCVkgrv64vqiUpAbr311uCqUHhocZgXhHlCmFj5qaeeynQwHZM089R/xIlC7AWZlOqWLVuGeViBVGtaQiwg4DOXnNGiiBvrAtujQlF5WIdtUbFIllpnnXVsjTXWmF+BGMNBS03A0OM7/MY2OW/egTRw9ssxsk/W4bjoaWA9UsKBijdlypQwKROVDahMWADEGrKGICkzyHGv2Dfnm8SPgWvi+Lm7mFTC1/dtFVsqgHhwnnT7M77Gr4eonmgEZNiwYfbiiy+GiobvnHRVEBAGYxHZJ09kUUAQnnvuuZCwRgWnoFKoKYy8uwDQ4rEOFYRsSVLqWYdKgelODwEVG4FAAMhHoLD7UHS2za1hOevyHyo0gkErjfgwfJ398xv7/P7778P22TfvrOvrsYxjYRnBRbZLhXFh4fjWWmut+TEEtocQ847gcN2yaqEREBL/Xn/99XA8jl/LUrgg1CUgyf8Xb8sFvRiuOQ9hZwb/hQERp6zlncYD5lH43KChwlAJyAVBQJIwxwQjLVm+1VZbFZamY/Dgwfb111+HeVd58j/JazvssINtv/32oZXDfSLmQg8BAkFlxZ/HTCaI16ZNG9tuu+2Cn4+FQKXk2LEAqKj77befderUKRwn+8DKoaVGRJo0aRLGa/CZ/TLknXNq27ZtqCDsm9+oFLxznIwPYezIlltuGba37bbb2pNPPmkffvhhCFBSgb3rk0Ajaf/8h+2yLvtjfNFrr71mu+++e+EqLBrjx48P45Q452T7VdyWcU4s87gG18q/u/BxDizn2vvvnD9imQRRLPciYLv33nvPF6lKcJ0ZO8N7XXlHeSAaAaGVp5KUgnkhiIlQKRdFQEhxpiJRsUrNG8E4nG+//TYIAIO71l9//dBSff7556GiUjGBwVuI2uabbx7yExAgWksCflgTO+20U1iPIDD5K1QkhMXnx2AfjOFAOKhAnB89F7gg7JsWFQEggIxwYmkw0hTuuusue/XVV0PaNse4//77B5FiXxwr4pYE0aOiU+E5DlyfRYUAKrPkI05UdipxKbDCaBR4EQilxedcEFzEAiFBdHHxEGxE0H9HUFxoOO5y+2D/uLpcNxeqSnCtERvuAdvmPueVXOSBUIg8TrAoeBwjmWuQhEF8uBm05IBAUAH5H+a6gxvEMWER4K4QZzjqqKOCm0EcxNeloiMAiGOXLl3CMmabJ27y2WefBbcMmK6A1pCCfNBBB4VlpPJ37NgxiAiWjsP/2CcuCefBNeF4qUiICNZTMbhZuGPFI13Twr3wylpsKSShciKmjGnixWM5iGNxTREQ3DMq/vHHHx/GsiCc3bt3D4ljnKMHTuvah1Nt2aAh4jog3tw3xDDP5EJAqm1ZKkGB9vEVxdDqETOgIiahZWT/xCcc1qMSITYO26bF5TcsDPBxGl4RHCoHLar/TgVh/8VBQJ9QJ1mBPKaRHMXK9qiQCB3WUjEcK8eW1XXEOnCXo66YBtYVcRnEk27Ws88+OwgGlZdzpQJjDWLFEQg955xzghXK+bFdzhXq2sfCgrhzj3fcccfgRmK1JRuHvBG9gFCxqLwejMTfTwP/o7BgOZSCAo1Fwf6SrRLuAQU42ZtBxcalwRJxsDYwiSn8PhAQ8UFkiKUk4TwIjJK/ALgnvIh5kDzlsE2Oi5baYZsIBe6Sw/ODOTdcAR6LUQosEPbL+S0KWDhUbK5JJcsA0UJkkgMj99prr2CBIIBYYsXHy38QV7bNNUZAq7UuqsHdUQLp3FusEdyxvBJtIhlQgQhW0kJQcDGHqUzFVoJDS1sKLhEv3AEqEm6CuxRJ6AlCPCjYHTp0CPEMChrvDPajSxlYhzwIton/TXCUQoh5TAzCk5oQA7qmWY/Wjhc9TcRPcFdokZ0bb7wxiAIBW+IfWDHELahQ559/fqiIwOM+GUBGpTzggAOCMPLsYOIRnTt3Di5AMY8++mj4D5YK4gdcq3LXqxyIBv9hnyT64a5RGcvhxzhw4MDgbtEVjwXCf+lZIx5D7wn3lvgP501wk1nJqOhYc5w3YlLOCsHy6927d1W9MMQ+cBURb9w67gv75pzOPPPMeunyrnWiCaImoSJSkCj0tBK0mhQwWmxuPIUKc7z45ZWi+MVv/AdrgEBoua5gLBAKKkLDMVCI+c+BBx74r5aSlp6KiGXE8VF52T69AcRCHI6VFpdtEbvwHBcqCj0rSTCpaXkRHSwbrAXOl1m8ki0wy6h4iA0xD7aNgCEcxExKQSwHC47rQKVhe3Vdr1Iv1vf/IagEZrGsOGa2WQpcN/aN8OLOjB49OlhQiC6Ci7uCC0OgGbDCOCdiQuTJ4Caxz7osHVxStse5c2x18eCDDwaXCleJXjeC3/RMIepc7+IAdB6IygKhNcMKoHBxQzFz6ZakQnOTffo7sWRhntr7778/WEi4M+WsELdABg0aFKwfLCkEhd4o0uHpmYLLLrss3Ge6tWk42L5PmuzUZYFgyTExcyVXh9nisYDoik/CpM9YfHkc8RtNDITu1Ysuuii4LLTm3GgKHi013X+0srRiYslDq49VUpd4AO4XuMuJJYHFBi4eWAUIhQsE2wUPoFIWsqJfv37/Jx5Ao4QLk0eiERDcAAKGmPxMZ5i0NChUmLOitqgURCXexH3DHXF4RAdxHIeEOGIqfn/ZJp9dUOoSqCwp7gHLC9EICD48okF2qI8vcbxVKpdMJJYM5dwKh7gV1gWJd0wK5bElAtM8F4aZxMhxwX0gpoP7Mnny5PA/Fyfckkr7EemJRkAoKJWyJF1IRMOAICuuKb0fxBlwTwkmEzRlMB7uC/N9kGpPz8zw4cODuBD/cBemWmShpiMaAakE4lEpSCYWD9UKOfELrAvGzpDlS68VwoC1wbQNCAoxEYSGgCzd9XQN878sYx+iPLkQEExYOptkytYWlQQdN8TvGRYC3xELurJ5uZXBO99JkKPLnu/J/1bajyzT9EQvIATdaMUoULJAaoNk5a4E3bdAMNStCn9nG3z2bbEO23a435UsEXI/+H+yy1dUT7SZqETmSSQjSk8PDS0TXXAkAsm8XfxQzGjpuQ9kb5IUxz2iS5felnJQwRc2PuEJYfyv0v/ZPwmAZPCS7Vq8PsdcXEXcYim3vJiGVsW4BowtqoboBAQTl6g9vjDReHJAyF6kdaKgcnEiO+Wah4rlL1p7rj+fea+Fe+HH5vjnvJYT6ghJe9UQlYAQmaebj5aN1oQ5JBiDopmjhKgfohEQuvSYaYuMU8xR5s1IDlkXQmRPNALC5DpYHz69oBCi/ok2iCqEqH9yk0gmhMgeCYgQIjUSECFEaiQgQojUSECEEKmRgAghUiMBEUKkRgIihEiNBEQIkRoJiBAiNRIQIURqJCBCiNRIQIQQqZGACCFSIwERQqRGAiKESI0ERAiRGgmIECI1EhAhRGokIEKIlJj9F4rYRixVPFZkAAAAAElFTkSuQmCC)
As shown in figure, a block A having mass M is attached to one end of a massless spring. The block is on a frictionless horizontal surface and the free end of the spring is attached to a wall. Another block B having mass '
' is placed on top of blockA. Now on displacing this system horizontally and released, it executes S.H.M. What should be the maximum amplitude of oscillation so that B does not slide off A? Coefficient of static friction between the surfaces of the block's is
.
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)
physics-General
physics-
The displacement of a particle is given by
Which of the following graph represents variation in potential energy as a fimction of tims
and displacement
.
![](data:image/png;base64,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)
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)
The displacement of a particle is given by
Which of the following graph represents variation in potential energy as a fimction of tims
and displacement
.
![](data:image/png;base64,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)
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)
physics-General
physics-
Two blocks
and
are attached to the two ends of a spring having leagth
and force consiant
on a horizontal surface. Initially the systen is in equilhium. Now a third block having same mass
, moving with velocity
collides with block A. Ln this situation........
![](data:image/png;base64,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)
Two blocks
and
are attached to the two ends of a spring having leagth
and force consiant
on a horizontal surface. Initially the systen is in equilhium. Now a third block having same mass
, moving with velocity
collides with block A. Ln this situation........
![](data:image/png;base64,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)
physics-General
physics
One can easily " Weight the earth " by calculating the mass of earth using the formula. (in usual notation)
One can easily " Weight the earth " by calculating the mass of earth using the formula. (in usual notation)
physicsGeneral
physics-
Two identical springs are attached at the opposite ends of a rod having length
and mass
. The rod could rotate about its mid-point O as shown in figure. Now, if the point
of the rod is pressed slightly and released, the rod starts executing oscillatory motion. The periodic time of this motion is………
![](data:image/png;base64,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)
Two identical springs are attached at the opposite ends of a rod having length
and mass
. The rod could rotate about its mid-point O as shown in figure. Now, if the point
of the rod is pressed slightly and released, the rod starts executing oscillatory motion. The periodic time of this motion is………
![](data:image/png;base64,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)
physics-General
physics-
As shown in figure (A) and (B) , a body of mass
is attached at the ends of the spring system, All springs have the same spring constaut k. Now when both systems oscillates along vertical diroction, the ratio of their periodic time is…….
![](data:image/png;base64,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)
As shown in figure (A) and (B) , a body of mass
is attached at the ends of the spring system, All springs have the same spring constaut k. Now when both systems oscillates along vertical diroction, the ratio of their periodic time is…….
![](data:image/png;base64,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)
physics-General
physics-
A mass
on an inclined smooth surface is attached to two springs as shown in figure. The other ends of both springs are attached to rigid surface. If the force constant of both spring is
, then the periodic time of oscillation for the system is .
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)
A mass
on an inclined smooth surface is attached to two springs as shown in figure. The other ends of both springs are attached to rigid surface. If the force constant of both spring is
, then the periodic time of oscillation for the system is .
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f4//C5TFEzM5V1IVkdiMhnVWmiKkaynjp2Cy4K8pYizWo+/W7ejCCSoFCnxh32GknCNoF/FIGO8JVcrf19990qU5bo3pINhIiFjHfcXt1x+21jIqPXMdP4c0y20cBrIrhBYagLgrUqsgbfgc8qRSFQ0w2/z8VBEEjHA3/PqAkmMd/T8Ce+aswBHUQkCdsEEU+1lkw5Zp0NM2nNNapNJ2+8ZEPvUBpHkVLUVOf5JpttXk1aZ91q5VFuLISxUflJqlUETUYDpJVod3SzqWFakfTSOQ6MadcK1m6t3dj0CMg0Zn4qFOeHGpGBiMxQ/5aDZHq2Qibr24R6ioJ6uCFAGdfg7yWK6DHP8VyPr7pEdZBwuM2OfN7DMVw6wiXZEVGHeBxU2USoC6JqstXIKp+mMsZGNwmtl6Vzoegin3KmTGMXBxcx3e7K5vh9g4rmd0sSthE2V3Njj/a+oUD9jJRAoquvvrpsWuVuwvW6wlsBcSXbVZUgq6T2nnvuWQqaYy5MLwnoAuF7KBqQ+3OBmT59elFq38naerW+biBJOAEQG9UUa+onUCFgQsGoqGO5dClQjfpwolBZFTo2OPKqpaR+Rjo40KRXBIzvxC+1ti9+8Yul5Ew01qhD5XP80U77oP2AJGEfw0Z1Y6pde+21hWxMNcEJSiZRbhPzCd0UVMdkM6/TRqRcbv78+aUwm39qc0vA29y9UhfK7CYYpAtDDaqLgi57EVi5yxWBfIEkYR+D7xdd4e9617tKZwb10rlg01I9aqLmlHoYtnTSSSeVvJ8yM8EWxz4jn3pKm1tgo5dVJS4OS/ZYKYUz15NKy/m5qAhS9Xp9vUCSsM9gk0bkk/nJ11MlosNCAIay8ZvqIXpk1a2h4NrQJa1SAjaioF7/yEc+clk9ZS8Qim6dkv7MaesTBaXujh9bUUzPVkgS9hn4cMijv89EMOSRnGZmatEx08Vj7g8wVykmU5PKCNQgoyR7mHa9DG64qPhO11xzTfXud7+7jLpgevo+MRK/l+vrNZokzDxhj4B8KkKiL46fZGSEChEE5D/ZyCZaNzcrlTHIVprBeQlMVRUl0RnRi+BLKLqLgsingmvHoNlwku4I2Mv19TNSCbsMm5WS8fc00DI1qYPWHMEUIXoEdU7C3Llzi/lG6ep+k8cl3HXrz5gxozxXmxETVhCmFxscAakz3/TSSy8t+Un9inw/a6or+YqOVMIeAfkEVaibzvY3velNRQXN4tQj5whmgQrwPHk+xHNfnVShOLocYkyGII0cIgKInnq8W/BZLgran5ieSuKYxC4SJrKpJBJ8SQyNJGEXYKNGhQgTzbnnkuhqNI1lEFipl2cxU6UoTKpmvtVJ6L1seOaqDn7RU61JzFHRR8EdJO40QtFV5QgenXjiiSWqa80mtZk92o6jpVcEJAk7DJuVOokMyomZ40K5EEf1Sqtp0ExVofw40ba+iUUcHaiCjCpgPCaRb3wGHHvsseU5nVZDBFTpctZZZ5VAkoFW8pP77rtvMY1dVJJ8o0OSsAMIlZDPU5DM9KR4SKU/7qUvfWkhDoLVCRimJpVzv43cVBIEEzHVWRDqyWwVoJEfRGCDeqmu92snrC0+X8E1JVb5MmfOnGJ+8mn5O9aTBBw9koRtho0vQijHxzzTF8dXY6KpcJFg97jeuGbAxWsRl7nJ14s6yjrkBw1rMq0tVNINWQ1fEll1PJlyNxeCdoKiI7lCAoEkgRfdDgoDqJ8LQpJv7EgSthFIxEdSbG00oGPEJKaPPvrokmrg3/HXRDUpisfqQQuvZ+IZ4a6NR4K+CYecyL/xueoEBq9HAmRBFCrsc5YH3lPgBfH5sY6Tlvc76qijypn0aj+to2lSJ0aP/JdrI5hrUSGifw8B9tlnn9JCxPejVtTJhraxmzWTNjwCua+VrwhMVaassYNNs0+nPIIwfb1We5D1jBe+j/W6KCidk3oQrT3ssMOKCkbkM9Vv+ZAkbCNsfL4aU9E0sKgaQaxAKAs0NzA/TueD1ENzxDxCIJkpaAhAVZswDEl01ExOz3EugzRIc2raaOACYj2CLVIoRmKoyjnwwAOL/9mM2ibGjyRhG2FTShlsvfXWpYRsyy23LPk7kVFmKCLwB0PNBDHqG9ljSOY+6Yu6uYmECEbpmKpNBfW4ZLmfXquulF+pbUggZTT+offxPBcNZu/s2bPLCU3aoUzbdrafiG4zYptYPiQJ2wybk0oIukybNq2ol4JsxENEROKrIaoyrtjMQQA35Gv6e16LpNQ2oqKBUElBEyMBPabrnhq7AFAzucfh1NBjPkORAH/S+1DWefPmlXMnmM5Jvs4gSdgB2KhIJLqJbAqwHRbDxKNWiIiAdZ8Okaic6KgIanP8hPvlDpmCkvtNEioTk+CXg/RYfD7zWMpCQp3CeW4dQX7rchKvvJ/ni7QKwkirRNqh/pmJ9iH/VTsEmxuRzEthDhpeZKNrWQqSBEKFkNPEsVYmH0XTk4dYcehlALkpnfvjdd7TZ3mMMi9cuLB0srciIRUVdJHPtEZF5GpSRW+9X5Kvs8h/3TbDphZ4kScUJaWCfEOBDWcnyBlSsqgTBa9BFjdmZLPAF3EEV5ChqaAgdygaS0FFTT0vZtMgINOS2jFLkdnv3hPh+KDIJ4gjGCT/J/0R0dn65yQ6gyRhm4BINrYN7sjmt771rWVjU0Kd5Eq7omUpjiMLeK1UAp9OOxP/KxCk1jFPLRV6N6OqiOW1TE9FAMgjsikoRDGVt1mDPJ/ODQSlfsxOdaxykyK61igI4z3qSpvoLJKEbQLy2fhvf/vbS4pA8EUyW3sRP85ZgMiBMExKZl4AuagZn09Ahxlbh/dm0nq91/oJoaAeo1yRd3Q/05afqMue6irwRkQ+n5EYzE3jMERRVfXw/aLhNtFdJAmXAzY7goha2vAzZ84sG5uaiDAq0mZeIhWSSJ5TMQESr/P6eJ9IIzSJQF0jrYFk9TEXXof4ehKlPDT3Iqj3QULvqVBA2oRZqrZUoYBuCyatkRPqWA0BDvVL87P7SBKOE0FAm9rkM2VcCCGfZpS7TW3jB2x6JKJGNr8z9oKIiMZ0RRjmaygdeI4yN+YmtWJyBrwWoZmXEUBxH//RgaTyhBL/nsMXVT5HaRFPDtD0NheIVL/eIklYQyhLRCn5Yu6rw99MQH6UoAbl42cJZuiE10mOEM2QPoURcNF5IFCjkkXwBslAo68yMEpYVyMEpWiCKEzROrG9Fjk95j29v+cbfWHqNkVWtcP3k3QHxd0UGwG9lzWm+vUWScKlQK6oWDnnnHOKOambwaauw/P4exHSR0jqpktCSB8R6uQL2OjuF700tBdxoqSMn4i0WoGapAiiqZJhctbf22cLArkgiGxSX/7lxRdfXAjGzzTrxYgMzbYab/UdMpHT9OwfJAmXAgGZiCaeURw5NaMaJLCRhEknoug5TE5tSjb0EUccUYIe/K7RbGo+oeiom+ZcvqSKGirIHG2CGlNJUVEkrH+Gxyg2UvE5XSCQ9v3vf3+pfLFGQRlpB2uVGkni9R9WKBLapJTCRnWjJG58Knk8Xe/IoUhZZHOjjTYqxcsiihdddFFJuAvp2/D8Kx0SNnYcjz0aeB7SqGyhsuayUCtkqecOwePWjFBUrp6acD8FVCBOBZmxvou8pOoaJjHT+OCDDy5zbDzezC8m+gMr1LQ1m5SiMQFtXgEPJidiqDhBDBFEwQpkpTRMOgRk4gn3y6XJ5UXgpZXpORpYh2gpVaVm/EnpjEjUI5mLgyQ8fw75+XgBBFVkzRQ20kJkFKEVCFgbNVR5g7hpevYXmsUYKwQJY0MbyaAeUqRQpNJNtJF6CFQoVrZxI/jhdTY7MiINJbGpl4d8gSA5v1ISH2mosP8ghPG50hII7/AX4yOYvGBdXst0pt5MTWMmkJny7bXXXuV9rDPJ139oknCFMEdteAQ0CwWJVLPYvMxM5qbkuigi864OGxjZmHbMuTAJl5eAQJ28lyQ+FbMeZmcA0URqrb1V7tBjl19+eel0EERSgcOH1UIVecEk4MTACuMTqmQRQNEVLoppU1M2P6mKE42YqHzFOoKInudnOze29xMRVbGizlNZGfULX1AFjd/VhFprKKAUhK4InRm6HY455phyIXHEdFwkkoATBwNJQpu1eZN60F+n08BGrUOgxOamREjQLSAKlTWnRSJetFT6I0gYow2ZqS4CIrgUnY/I/2N6IqAAjOiq90pMPAwcCZHJWQj8PP11iOVvQRn+X1Mh/M0cBLk7Zl63QeUMgpIaEQBSLMA0Vo1DBa3R9zA4ygApUHB9yCGHFPVr1pomJhYGJjBDOZiSSLT77ruXQAplYJp5TJST/4SINn3AazzmNdRI0l0tZTdhfQJHRlFQOPNhBI34sHxFanjGGWeU0fd8SB379d7BxMTCQAVmbF4b1A2ZKIdoIrNTUbOKFBtb2ZYvrp/Pa+qwiZmnyr7UWUYEspuwBoQyM1QagumsKEDaxJqd1EsJEZHvp/7TmpOAg4EJpYQIxKzkGyGefB+zze+URF2kxLQKEZuUH+U1TNQY06DYOhpWwWs9rjTMfZtsssmyFEW3Qb2Z0IYE8wdFRl0Y+HwKA6RRqHisPTEx0VTCCUNCZEI+aqdgmsmojMzfKkTk/vhV06dPXxYhDCCoKhglYja4pHydaK3UsRewTmtUmSNvaF3R86eaxndK9Zv4mLDmKKJJSDPP1HUyyQxRQjykohCKoylbEzavhLf3EF2kMHXY2PVbt2E98pTSDnxAZqgibxcOXfEISNWTgIOJCUNCeTzj5aUT1HWql9xqq63KjSqKEDp2jLnaStm0GlE/vmPz8V7AGtwQkDmsflSy3ZgLJxvp91OOpkAAARODiwlBQptV/k44XokWFaybmzYycvHrWpHMc1WdqM10PFk9OtorWDPzmmmNcNIP1NqkM36tAb4uOKl+g4++8gmZkk1TEaibQAUiImG9uxyYp+eee24p4+JD2cRNn8/7+mlTI2WdxN2Edbip81THKlDETBbJRTqKnsQbbPS1T2gzKt8SoldC5ncBF+VZWo1EQ1v5fPrsdDgI8yvAbsKmZtJRQD97RUBr5/shnFI1fYLGEfqO1u0/Jwm44qEvSGhzUjkj+tR4MtGcBKSh1gaN48C0Hnle09xELBtYVFQhc6uN7L64dRuUz7pV7pgvo+Ca6mlf4v/pR8zUw4qLvjBHBSZELY1h4O9pxQkyIRw/jzl6/vnnl052Cfl6sMLjyGrK9HHHHVfygP0UzJBKcWinDnqlcapzFF7HJO1eXBgSvUPPzVGqIB9GGZhm8nx8OkEV90dOLDamn1SCcsSQW0ntullKQSSyJempSj8oiosH85mKi3yaW8NkdpGQVkFA3ysJmOiaEtqUiEMVlJJRPmRCLPWeAhI77rhjqQxpVZLlHIbjjz++vEf0z/VDlLMJ63Pz3fh+F154YbnwyPftvffe9+gNTKx46JkS2piUwfAhZiXlYlqaAHbooYeWIIyoJxVr+nygfMu4QOP/hPZbPafX8B2Z1tao20G6QSG2i4fCawRMvy/RRFdJKNDiLAbzUvh9iKXKReJdAh45PYeP14SDUNR1iiL2mxnngsCUVsdqJgyfb9GiRWXUvCio/KbC8PT/Eq3Q1csyGZbn0y3gd6pgU7ohnvP5hO1bnbOOeDoMzjzzzGUBjX5AmJ7M69NPP72oni4Ovx9wwAHFbO5VQXhiYqBrJAyfMCpa6oqAjDG3k+8nWMOPqsNzdI9Hl0OvFSVMT+V0igT0AVq3ViMT0HTLRz9jr9ea6G90VQmZbMY3SMrXfToqJ3Kop09+UD6wWQNqI9vQ/bCprctFQu5S4MVIRLNiTEQz6Vp014XCWhOJkdC1XYI4op4ioc3z05HQEF3RQ4EMqYumEvYDrJmSC7woFtcWxYR2wIqOB2MyMvKZGCtWmTNnztylv3cUNjB1s4FFQRUox4YNgrrPY3w+nRH9YHaCtYf56bBO3Q4KrrVSOY2Jj9vqBN1EohXskzq6lie0iaUoHNllU2stauZLqJ8bcvaTL4V8Ip98PxFcKRKNt8jnQpHkS4wFPcsT2qQ2K1NTCZfyrSaQjyL62etNHaandRo5ceqppxbfb5dddqmuvPLKooL+MftFrRMTF12NHCCh8jMkE9bvZzCdjR5UcK1Nii9rxqeJ3XKbEflMJJYXXdtFzFFmnJpRBOzHwAtE4MWoCWPyTT1T3SPyqWInql5S/RLtwphJyExzGy0iqEFZnBjkWGhj3PsN1mmN2o0MWVIUQLnNIdWR7xhrucwkYKLdGFNghnohlA1rM47ku3kuZZFPM6CJupihabits/96MeOzibhIMDf1M15wwQWlyHzq1KllnaK1TE/fNZFoB5qBmRFJaJNG1FKy3SY1lk/9pzdrRUKb2vMpi4Jtz5UbdIbC9ttvX/r9vK7XihLfi3ms4kW7kcFR6lhFPmOdiUQ7MSYSBgFNfzZiQj2kahYK5sQgZyc0gxNeQ1WMo1BNoqDZUc+OIxP5ZOL1g6q4UIjU3nDDDWXAkhEZBx10ULXHHnuUek9rzMBLohMYNQltUsqHTCKEut71/iGlxlkDlZRoMdWoRaifWkpmnREVAjFOvjV4yei+XufTwvS0LuuMM+qpn9mlO++887K8XyLRKYyKhDar/JjOACaaBLtwvfuRiEIwK88+++xSUE01JOKZqWbE8Kmon3Yl9aCtmnR7AQTUoaGp2CBhJjIfFfmUy1ljP6wzMdgYkYSqQySnJaQdWknV+HZULmCjMt9EDp0Mi4QOYHEGu42ugdWBnAqZQyl7iVB1prQBwr6TM/+M0lDvGSMxkoCJbmBEEgpSUD8Fyq1aigLUjQo6aIV5x/cTTXSTV7Oxe72pw/x0ERGdlSKh8NOmTSvq50LC/EwkuokRSSilQC30xEla28Q2cxOUg+8kSBOd8fyq8P16HdSwbhcQg6FEdPmoDtx05p+qHf8QqX6JXqBJwnswxcYUSHEgyXC+nE3OdFUBo+M9OgkoSy8JGOvi++nSV+miQOCUU04p5/vp1IjzHZKAiX5ASxJSMmf9Ca6MRChqI9BhtN9Qpmu3QLEFiPi0AkQCR4oCtB0pvGYi90N6JJGoo2U/IYVw4/MZN0FVKMxQ0ObDl6SIcY5eN2FtzGgRXGfVGyZlTaKz+++/fxkoTKGTgIl+QDMFNiQJPVEy3u+mWxtJMRQo0PXXX1+IELm2boJJLJ+p24EJykcVfNl2222L/+e7pOmZ6BeMioQBimYTK2oW3odWQRpwv0naQv/mrXTD5+L7qeahfpptdTgYHmzCNd+vX/KTiUQdYyah+kk3JIxoaSsgoVQAM3Cbbbb5n1H27YTPsQafRf2MmtDxbnq3o7KdPxhnUSQBE/2IJgmHdd5sYmqi6sW8UObpcBCYkbSXk0OS4fzI8QABmbxqU+X8RHBvuummav78+SUKaiRiPxQHJBJjwYiDnmxoeQ1FzaKOCp6RayizFEkEcgxqYpa2wz8M8qldve6660q6Qc2nCWfymQJImfdLTBSMyRwN2NyqS5h5oqWqToZSuTAVKdLkyZOXBXfGiyCgeaXK4gRf3OccCz1/Rk1k4CUxkTAuEtrgbpLxStS0MSHGUEBC3fOI6xwGJu1Y0xaIxrylfkzcK664ohSU77nnniX4wu9M9UtMRIzJJ2xCpwETUAJ8OFIhqLpTh2Ka04mUY0EQkPqZcCbxTmH1+/EDpSAo7ViJnUj0I4bsJ2wF5JAW0IeHEHKHwwVfpAykC5xMxD8ciTTe343aqsK55JJLSgJezk9dKr80yZeY6GjWjo6JhEChRCepk1mcw0VBkUWp2HnnnVe6K4YyS4N8FFSPH/JRQJ/FD6TArcjnNT7b89w87pY+YqKfMWIB90iwyZ2qi1S6EhBrKCCJcrbDDjusRFURpRUQiapqHj788MNL3s+xYtqjjMQfKu3g/SJFoTfQsWSUc6jPSST6EaMKzNSBDIioE0HgxSQ16jUUEBEEanRnhKKFijE9jZowPuOyyy4rrVGG7CI5soeqNUno9YI2UhWLFy8unf5I68Rf80GlRlINE/2IcUVHW0FFChKq20REnetBuCYok9I3qianh1yeq7pGpHXBggWl9nS33XYrJxyZ8RmRz6GAwAh36aWXlg4Jymk9TF9VM4q2s2A70Y9YruhoHQiiNM3R0FSI7zcUEI7vaPqaqW3ajaQbDIvSboTAhkZRQecTKsKmbkNFVUNF1arKWUqD+GLOh5A3ND9muBRKItFPGLcShlmKOEgliT9Sp4WADvPTIKiFCxeWliP1qM4mRDozbURe3RDJ/JqhKm5Eac2K4UcK3Nx4442li54qU1p5RMUFiUS/oamEY46ONkFx+GYnn3xyUToko1JN1ElLrZAIeZmM+v4clcZUBWqpC153xAYbbHAP3877K42bN29eiaKako14FNXnb7fddtXs2bPLrJtEot+w3NHRJrAaCRBJiVorPwyJ3O/DPd8oDOc9UE8KeNJJJ5XRg0jDtAwia6NqBarqRiUFcJBfRQ0lFfzxOcieSEwELDcJAcmYf+o5RU3ryuV3ZKFogi6muB177LGlwFsyH1kiCgoUTrWNhlyvrb9XgKL6HAEchPW7CwG/lLomEhMJbSMhoqmioUyR15NDRD6m5oknnljNmDGjpA8UdiMf4rlRSc+XU+TjUUcnIQ0X3fQ6ysusFWVlFiMwdaWmI7VdJRL9graQEBAG+aidnwhosK6/586dW8bhx+GaQbomkEmuj8JJMQyVovBa70FNRWgNKnb6r+565XEitkMFdBKJfkNbSBgpCDlDx5/ptjBg6YQTTiiKpikYoVoRD7xeUEW/ogoYaqlOdCgSgseQkC8qx3jaaaeVaOmsWbMKiYdT0USin7Bc0VHkEUBhCuqWUPUiOLLffvuVdqMouB6KfAHJfFU3Eu1SDTNnziwEG+l1PptPaMyFWTMCOVtssUXxDYcjcCLRSzSjo+MmYRAQaVStSBXIEzInBUqiWHskIoH8oQG9xmIYU6FVqbnQVrAGcBFAZOoXpu5oPjeR6AXaQkLkE4U0/Mm5g5pu991332J6UqOxmoKqXpiTfoqcbrjhhkmixIQHERKbcKtzYrlJSH0oz1VXXVUODVW/Kb/Hj5MmGI8K8QOdgThlypRymtNoVDCR6HdwxUTqjQEVJwm0hYSUUESS+YjlSAljUcAwJRHW7xYmsCP1kCqYGATY01rsdt111/8pHlluEgLS8OOkFIJMY4XXBdn8RGB+3XjfL5HoNzBHFaSoYa4LS1tICMhCEROJRGsgXl1oAm0jYSKRGB/uQcIlipYkTCR6iMxoJxI9RpIwkegxkoSJRE9RVf8H6X+11Csn7mMAAAAASUVORK5CYII=)
physics-General
physics
The distance of the moon and earth is D the mass of earth is 81 times the mass of moon. At what distance from the center of the earth, the gravitational force will be zero
The distance of the moon and earth is D the mass of earth is 81 times the mass of moon. At what distance from the center of the earth, the gravitational force will be zero
physicsGeneral
physics
Two particle of equal mass go round a circle of radius r. Under the action of their mutual gravitational force. The speed of each particle is …….
Two particle of equal mass go round a circle of radius r. Under the action of their mutual gravitational force. The speed of each particle is …….
physicsGeneral
biology
Match the column
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Match the column
</span
biologyGeneral