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JEE Main20231 Feb 2023Morning ShiftPhysicsGravitationActual

Given below are two statements : Statement-I: Acceleration due to gravity is different at different places on the surface of earth. Statement-II: Acceleration due to gravity increases as we go down below the earth's surface. In the light of the above statements, choose the correct answer from the options given below

Options

  1. ABoth Statement I and Statement II are true
  2. BBoth Statement I and Statement II are false
  3. CStatement I is true but Statement II is false
  4. DStatement I is false but Statement II is true

Correct answer

C. Statement I is true but Statement II is false

Step-by-step solution

Acceleration due to gravity is the acceleration acquired by a freely falling object. At any particular place on the Earth, the acceleration due to gravity depends on the latitude of the place and the angular frequency of Earth's rotation. Mathematically, the latitude dependence of acceleration due to gravity can be written as g eff =   g - R ω 2 cos 2 λ . . . . . . . . . . . . . . . . . ( 1 ) where, g eff is the effective acceleration due to gravity, g is the real value of gravity at the latitude

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