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.

Pick an option to check your answer.

Verified Solution

Answer & Solution

Correct Answer

(B) Statement \(I\) is true but Statement \(II\) are false.

Detailed explanation

Statement \(I\) is true due to centrifugal force.

Statement \(II\) is incorrect,

At pole \(g=g_s\) (no effect)

At equator \(g=g_s-r \omega^2 \cos ^2 \lambda=g_s-r \omega^2\)

\(\therefore\left(\cos ^2 \lambda_{\text {maximum }}\right.\) at \(\lambda=0^{\circ}\) i.e. at equator \()\)

Effect is maximum at equator.

Same subject

From JEE Mains

List \(I\)	List \(II\)
\(A\) \(AC\) generator	\(I\) Presence of both \(L\) and \(C\)
\(B\) Transformer	\(II\) Electromagnetic Induction
\(C\)Resonance phenomenon to occur	\(III\) Quality factor
\(D\)Sharpness of resonance	\(IV\) Mutual Inductance