Gravitation Question 1

Question: If the change in the value of ?g? at a height h above the surface of the earth is the same as at a depth x below it, then (both x and h being much smaller than the radius of the earth)[NCERT 1983; BHU 2002]

Options:

A) [x=h]

B) [x=2h]

C) [x=h2]

D) [x=h2]

Show Answer

Answer:

Correct Answer: B

Solution:

The value of g at the height h from the surface of earth [g=g,(12hR)]

The value of g at depth x below the surface of earth [g=g,(1xR)]

These two are given equal, hence [(12hR)=(1xR)]

On solving, we get [x=2h]



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