Gravitation Question 4
Question 4 - 2024 (27 Jan Shift 2)
Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): The angular speed of the moon in its orbit about the earth is more than the angular speed of the earth in its orbit about the sun.
Reason $(\mathrm{R})$ : The moon takes less time to move around the earth than the time taken by the earth to move around the sun.
In the light of the above statements, choose the most appropriate answer from the options given below :
(1) (A) is correct but (R) is not correct
(2) Both (A) and (R) are correct and (R) is the correct explanation of (A)
(3) Both (A) and (R) are correct but (R) is not the correct explanation of (A)
(4) (A) is not correct but (R) is correct
Show Answer
Answer: (2)
Solution:
$\omega=\frac{2 \pi}{\mathrm{T}} \Rightarrow \omega \propto \frac{1}{\mathrm{~T}}$
$\mathrm{T}_{\text {moon }}=27$ days
$\mathrm{T}_{\text {earth }}=365$ days 4 hour
$\Rightarrow \omega_{\text {moon }}>\omega_{\text {earth }}$
