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AIIMS 2010
Exam
AIIMS
Year
2010
Subject
Physics
Chapter
Gravitation

AIIMS 2010 · Physics · Gravitation

Assertion : The difference in the value of acceleration due to...

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^{\prime}=g-R_e \omega^2 \cos ^2 \lambda At equator, λ=0∘,∴cos⁡0∘=1\lambda=0^{{}^{\circ}}, \quad \therefore \cos 0^{{}^{\circ}}=1 \therefore \mathrm{g}_e=g−\mathrm{g}-R_e \omega^2 At poles, λ=90∘,∴cos⁡90∘=0∴gp=g\lambda=90^{{}^{\circ}}, \quad \therefore \cos 90^{{}^{\circ}}=0 \quad \therefore g_p=g Thus, gp−ge=g−g+Re(ω2=Re(ω2g_p-g_e=g-g+R_e\left(\omega^2=R_e\left(\omega^2\right.\right. Also, the value of gg is maximum at poles and minimum at equator.
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