JEE Main202310 Apr 2023Evening ShiftPhysicsGravitationActual
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
Options
- AStatement I is false but statement II is true
- BBoth Statement I and Statement II are true
- CBoth Statement I and Statement II are false
- DStatement I is true but statement II is false
Correct answer
D. Statement I is true but statement II is false
Step-by-step solution
The variation of acceleration due to gravity with the rotation of Earth can be written as g ' = g - ω 2 R cos 2 λ       . . . 1 Substitute 0 ° for λ for equatorial position to obtain the acceleration due to gravity. g ' = g - ω 2 R cos 2 0 ° =   g - ω 2 R Substitute 90 ° for λ for polar position to obtain the acceleration due to gravity. g ' = g - ω 2 R cos 2 90 ° = g The above two equations show that the effect on acceleration d