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A tunnel is dug inside the earth across ...

A tunnel is dug inside the earth across one of its diameters. Radius of earth is R and its mass is M. A particle is projected inside the tunnel with velocity `sqrt((2GM)/(R))` from one of its ends then maximum velocit attained by the particle in the subsequent motion is `sqrt((nGM)/(R))` (assuming tunnel to be frictionless). Find n

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