Physics-
General
Easy

Question

If the change in the value of ‘g’ at a height ‘h’ above the surface of the earth is same as at a depth ‘x’ below it when both ‘x’ and ‘h’ are much smaller than the radius of the earth, then.

  1. x=h    
  2. x=2h    
  3. x equals h divided by 2    
  4. x equals h divided by 3    

The correct answer is: x=2h


    Given,
    g subscript h end subscript equals g subscript d end subscript
    g open parentheses 1 minus fraction numerator 2 h over denominator R end fraction close parentheses equals g open parentheses 1 minus fraction numerator d over denominator R end fraction close parentheses
    rightwards double arrow fraction numerator 2 h over denominator R end fraction equals fraction numerator x over denominator R end fraction left square bracket because d equals x right square bracket
    Þ x= 2h

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