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NEET
Exam
NEET
Subject
Physics
Chapter
Gravitation

NEET · Physics · Gravitation

Given below are two statements: Statement I: Acceleration due to...

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

Options

  1. AStatement I is incorrect but statement II is correct
  2. BBoth Statement I and Statement II are incorrect
  3. CStatement I is correct but statement II is incorrect
  4. DBoth Statement I and II are correct

Correct answer

C. Statement I is correct but statement II is incorrect

Step-by-step solution

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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