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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.

1. If both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
2. If both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
3. If Assertion (A) is true but Reason (R) is false.
4. If Assertion (A) is false but Reason (R) is true.

Correct answer: If both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).

Solution

Both the assertion and reason are true because the moon completes its orbit around the Earth in about 27.3 days, which is significantly shorter than the Earth's year-long orbit around the Sun. This shorter orbital period results in a greater angular speed for the moon compared to the Earth's angular speed in its orbit.

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