1.

Consider earth to be a homogeneous sphere, Scientist A goes deep down in a mine and scientist B goes high up in a balloon. The acceleration due to gravity as measured by:A. A goes on decreasing. B goes on increasing B. B goes on decreasing, A goes on increasingC. each remains unchangedD. each goes on decreasing

Answer»

The acceleration due to gravity goes on decreasing for both the scientists A and B.

For scientist B,

Since, g ∝ \(\frac{1}{r^2}\)

So, as the distance from the center of earth increases, the value of g decreases.

For scientist A,

Let scientist A be at a depth d. Then only attraction is due to the sphere (R – d), where R is the radius of earth. As the attraction due to rest of the earth cancels out, so the value of g decreases.

Hence, option D is correct.



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