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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 of length 1 m will have a longer time period on the surface of the Moon than on the surface of the Earth. Reason (R): The time period of a simple pendulum is directly proportional to the square root of its effective length. In the light of the above statements, choose the most app

Options

  1. ABoth Assertion and Reason are true and Reason is the correct explanation of Assertion.
  2. BBoth Assertion and Reason are true but Reason is not the correct explanation of Assertion.
  3. CAssertion is true but Reason is false.
  4. DAssertion is false but Reason is true.

Correct answer

B. Both Assertion and Reason are true but Reason is not the correct explanation of Assertion.

Step-by-step solution

Assertion (A) is true: The time period of a simple pendulum is given by T = 2 L g . Since the acceleration due to gravity ( g ) on the Moon is less than that on the Earth, the time period ( T ) will be longer on the Moon for the same length of the pendulum. Reason (R) is true: From the formula T = 2 L g , it is clear that the time period is directly proportional to the square root of its effective length ( T L ). However, Reason (R) does not explain Assertion (A). The correct explanation for the longer time period

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