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MHT CET202312 May 2023Evening ShiftPhysicsGravitationActual

The depth at which acceleration due to gravity becomes g 2 n is ( R = radius of earth, g = acceleration due to gravity on earth's surface, n is integer)

Options

  1. AR (1-2 n ) n
  2. BR (1- n ) 2 n
  3. CR ( n -1) n
  4. DR (2 n -1) 2 n

Correct answer

D. R (2 n -1) 2 n

Step-by-step solution

The gravitational acceleration at depth is given as g_d=g [1- d R ] Given g _ d = g 2 n aligned g 2 n & =g [1- d R ] d R & =1- 1 2 n d & = [ 2 n-1 2 n ] R aligned

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