Given below are two statements: Statement I: Acceleration due to earth's gravity decreases as you go…

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 'h' and depth 'd' from earth's surface, if h = d.

In the light of above statements, choose the most appropriate answer form the options given below

  1. Statement I is incorrect but statement II is correct
  2. Both Statement I and Statement II are incorrect
  3. Statement I is correct but statement II is incorrect
  4. Both Statement I and II are correct

Solution

At any height, g'=g1-2hR[Given: h≪R]

and at any depth,

g'=g1-dR

Clearly, g' decreases in both cases. But if h=d, then value of g' will not be the same.

Therefore, statement I is correct but statement II is incorrect.

Asked in: JEE Main 2023 (24 Jan Shift 2)

Practice more Gravitation questions on Aicharya