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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): A simple pendulum is taken to a planet of mass and radius 4 times and 2 times, respectively, than the Earth. The time period of the pendulum remains same on earth and the planet. Reason (R): The mass of the pendulum remains unchanged at Earth and the other planet. In the light of the above statements, choose the correct answer from the options given below : (1) Both (A) and (R) are true but (R) is NOT the correct explanation of (A) (2) (A) is true but (R) is false (3) (A) is false but (R) is true (4) Both (A) and (R) are true and (R) is the correct explanation of (A)

1. Both (A) and (R) are true but (R) is NOT the correct explanation of (A)
2. (A) is true but (R) is false
3. (A) is false but (R) is true
4. Both (A) and (R) are true and (R) is the correct explanation of (A)

Correct answer: Both (A) and (R) are true but (R) is NOT the correct explanation of (A)

Solution

The assertion is true because the time period of a simple pendulum depends on the acceleration due to gravity, which is affected by the planet's mass and radius. However, the reason provided does not explain why the time period remains the same, as it does not address the relationship between gravity and the pendulum's motion.

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