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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): If a simple pendulum and a spring-block system have equal time periods on Earth, the simple pendulum will oscillate slower than the spring-block system on the surface of the Moon. Reason (R): The time period of a spring-block system depends inversely on the local acceleration due to gravity, wherea

Options

  1. ABoth (A) and (R) are correct and (R) is the correct explanation of (A)
  2. BBoth (A) and (R) are correct but (R) is not the correct explanation of (A)
  3. C(A) is correct but (R) is not correct
  4. D(A) is not correct but (R) is correct

Correct answer

C. (A) is correct but (R) is not correct

Step-by-step solution

The time period of a simple pendulum is given by T = 2 l g , which means it depends inversely on the square root of the local acceleration due to gravity ( g ). The time period of a spring-block system is given by T = 2 m k , which is completely independent of g . On the surface of the Moon, the acceleration due to gravity is less than that on Earth. Therefore, the time period of the simple pendulum will increase, meaning it will take longer to complete one oscillation (it will oscillate slower). The time period of

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