Q65 / 90 · JEE Main 2023 (10 Apr Shift 2) · Physics

Given below are two statements:

Statement I : Rotation of the earth shows effect on the value of acceleration due to gravity (g).

Statement II : The effect of rotation of the earth on the value of g at the equator is minimum and that at the pole is maximum.

In the light of the above statements, choose the correct answer from the options given below

  • A
    Statement I is false but statement II is true
  • B
    Both Statement I and Statement II are true
  • C
    Both Statement I and Statement II are false
  • Correct answer
    D
    Statement I is true but statement II is false

Solution

The variation of acceleration due to gravity with the rotation of Earth can be written as

g'=g-ω2Rcos2λ   ...1

Substitute 0° for λ for equatorial position to obtain the acceleration due to gravity.

g'=g-ω2Rcos20°= g-ω2R

Substitute 90° for λ for polar position to obtain the acceleration due to gravity.

g'=g-ω2Rcos290°=g

The above two equations show that the effect on acceleration due to gravity is maximum at the equator and minimum at pole.

Hence, the correct answer is option: 'D'.

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