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Gravitation

Question
CBSEENPH11026307

Change in acceleration due to gravity is same upto a height h from each other the earth surface and below depth x then relation between x and his ( h and x<<<Re )

  • x = h

  • x = 2h

  • x = h2

  • x = h2

Solution

B.

x = 2h

Variation in g at the height h from the earth surface 

        g' =  g 1 - 2hRe 

 

Variation in g at a depth x below the earth surface 

        g'' = g 1 - xRe

Here d = x i.e depth

But variations are same

∴     g 1 - 2hRe = g 1 - xRe

∴            x = 2h