Gravitation

JEE Main level, single correct, medium

69 of 223

Question 69 of 223

Given below are two statements:
Statement I: Acceleration due to earth's gravity decreases as you go 'up' or 'down' from earth's surface.
Statement II: Acceleration due to earth's gravity is same at a height 'hh' and depth 'dd' from earth's surface, if h=dh=d.
In the light of above statements, choose the most appropriate answer form the options given below

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Answer: (C) Statement I is correct but statement II is incorrect

At any height, g′=g(1−2hR){g}^{'}=g\left(1-\dfrac{2h}{R}\right)[Given: h≪Rh≪R]
and at any depth,
g′=g(1−dR){g}^{'}=g\left(1-\dfrac{d}{R}\right)
Clearly, g′{g}^{'} decreases in both cases. But if h=dh=d, then value of g′{g}^{'} will not be the same.
Therefore, statement I is correct but statement II is incorrect.

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