A ball 'A' of mass m falls to the surface of the earth from infinity. Another ball 'B' of falls to the earth from the height equal to six times radius of the earth then ratio of ve

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A ball 'A' of mass m falls to the surface of the earth from infinity. Another ball 'B' of falls to the earth from the height equal to six times radius of the earth then ratio of velocities of 'A' and 'B' on reaching the earth is

TestHub · Accepted Answer

Ball A from infinity: v A 2 ​ = R 2 GM ​ Ball B from height 6R (distance 7R from centre): v B 2 ​ = 2 GM ( R 1 ​ − 7 R 1 ​ ) = R 2 GM ​ ⋅ 7 6 ​ v B ​ v A ​ ​ = 6 7 ​ ​ Ans. (D)

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