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Question

Consider the following statements about acceleration due to gravity on earth and mark the correct statement(s) :


A
The value of g is constant throughout
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B
g=g(1dr)
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C
g is slightly less (by about 1%) when distance <200m
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D
g is slightly greater when distance <200m
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Solution

The correct option is C $$g' = g(1 - \dfrac {d}{r})$$
Acceleration due to gravity at depth d,  $$g'=g(1-\dfrac{d}{r})$$,   where $$r$$ is the radius of earth.
Thus $$g$$ is not constant throughout.
Also  for  $$d=200  m$$                $$g'= g(1-\dfrac{200}{6400\times 1000})$$
Now       $$\dfrac{g-g'}{g} \times 100= .003$$ %
Thus $$g$$ is much more less than $$1$$%.

Physics

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