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

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Statement I is true but statement II is false

Both Statement I and Statement II are false

Both Statement I and Statement II are true

Statement I is false but statement II is true

answer is D.

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Detailed Solution

Acceleration due to gravity (g) depends on rotation of earth as
$g_{ϕ} = g - {Rω}^{2} \cos^{2} ϕ where ϕ = latitude, ω = anguler speed of rotation of earth$
$At poles ϕ = 90^{\circ} \Rightarrow g_{ϕ} = g At equator ϕ = 0^{\circ} \Rightarrow g_{ϕ} = g - {Rω}^{2}$
$∴$ At poles acceleration due to gravity is independent on rotation of earth.