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A small body of superdense material, whose mass is twice the mass of the earth but whose size is very small compared to the size of the earth, starts from rest at a height H << R above the earth’s surface, and reaches the earth’s surface in time t. Then t is equal to(a) √(2H/g)(b) √(H/g)(c) √(2H/3g)(d) √(4H/3g) |
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Answer» Correct Answer is: (c) √(2H/3g) As the masses of the body and the earth are comparable, they will both move towards their centre of mass, which remains stationary. When they meet, the body will have moved through a distance H/3 In both cases, the body moves with acceleration g, as H << R, i.e., the body is close to the earth’s surface. |
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