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 (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 :

The angular speed ($$\omega$$) of an orbiting body is defined by its time period ($$T$$): $$\omega = \frac{2\pi}{T}$$

The Moon completes its orbit around the Earth in $$T_m \approx 27.3$$ days, whereas the Earth takes $$T_e \approx 365.25$$ days to orbit the Sun. Because the Moon has a much shorter time period ($$T_m < T_e$$), its angular speed is significantly higher: $$\omega_{\text{moon}} > \omega_{\text{earth}}$$

The Assertion is true, and the Reason provides the factual basis (shorter time period) that mathematically explains why the Moon's angular speed is greater.

Correct Option: (B)