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AIIMS2010PhysicsGravitation

Assertion : The difference in the value of acceleration due to gravity at pole and equator is proportional to square of angular velocity of earth. Reason : The value of acceleration due to gravity is minimum at the equator and maximum at the pole.

Options

  1. AIf both assertion and reason are true and reason is the correct explanation of assertion
  2. BIf both assertion and reason are true but reason is not the correct explanation of assertion
  3. CIf assertion is true but reason is false
  4. DIf both assertion and reason are false.

Correct answer

B. If both assertion and reason are true but reason is not the correct explanation of assertion

Step-by-step solution

Acceleration due to gravity, g^ =g-R_e ^2 ^2 At equator, =0^ , 0^ =1 g _e= g -R_e ^2 At poles, =90^ , 90^ =0 g_p=g Thus, g_p-g_e=g-g+R_e ( ^2=R_e ( ^2 . . Also, the value of g is maximum at poles and minimum at equator.

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