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Which of the following statements regarding the time period of oscillating systems is incorrect?

Options

  1. AThe time period of a spring-mass system decreases if it is taken from the Earth to the Moon.
  2. BThe time period of a simple pendulum is independent of the mass of the bob.
  3. CIf a simple pendulum is taken from the equator to the poles, its time period decreases.
  4. DIf a hollow spherical bob filled with water is used as a simple pendulum and water slowly leaks out, the time

Correct answer

A. The time period of a spring-mass system decreases if it is taken from the Earth to the Moon.

Step-by-step solution

The time period of a spring-mass system is given by T = 2 m k , which is independent of the acceleration due to gravity ( g ). Therefore, its time period remains the same when taken from the Earth to the Moon. Thus, the first statement is incorrect. The time period of a simple pendulum is T = 2 l g . It does not depend on the mass of the bob, making the second statement correct. The value of g is greater at the poles than at the equator. Since T 1 g , the time period of a simple pendulum decreases when taken to the

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