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JEE Mains · Physics · STD 11 - 7. gravitation

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.

  1. A Statement \(I\) is false but Statement \(II\) is true.
  2. B Statement \(I\) is true but Statement \(II\) are false.
  3. C Both Statement \(I\) and Statement \(II\) are true.
  4. D Both Statement \(I\) and Statement \(II\) are false.
Verified Solution

Answer & Solution

Correct Answer

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

Step-by-step Solution

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…
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