Question

A simple pendulum consists of a ball of mass m suspended from the ceiling using a string of length L. The ball is displaced from its equilibrium position by a small angle θ and released. Which one of the following statements concerning this situation is correct?

(a) If the mass were increased, the period of the pendulum would increase.

(b) The frequency of the pendulum does not depend on the acceleration due to gravity.

(c) If the length of the pendulum were increased, the angular frequency of the pendulum would decrease.

(d) The period of the pendulum does not depend on the length of the pendulum.

(e) The angular frequency would double if the angle θ were doubled

**Can you explain how to get the answer please**

Answer 1

Solution:

From the given infromation,

The time period of a simple pendulum is,

T = 2l/g and Angular frequency = l/g

Now, look at the problem,

Ans: C  If the length of the pendulum were increased, the angular frequency of the pendulum would decrease.

Reason: All other options are incorrect from the fomular provided above.

A : T doese not depend on mass of pendulum.

B: dose depend on g

D: T depends on l

E: dose not depend on angle.

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