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NEET2020PhysicsGravitationActual

What is the depth at which the value of acceleration due to gravity becomes 1 n , times the value at the surface of the earth? (radius of the earth = R )

Options

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

Correct answer

B. R ( n - 1 ) n

Step-by-step solution

The value of the acceleration due to gravity when the body moves below the surface of the earth at the depth, d in terms of the radius of the earth, and acceleration due to gravity at the surface of the earth, then at depth: (g_ eff =g (1- d R ) g n =g (1- d R ) d= (n-1) R n ).

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