Question

The time period of a pendulum depends upon its

• A. Mass of bob
• B. Length of string
• C. Dimension of bob
• D. Material of the bob

Answer 1

The correct option is B

Length of string

The explanation for the correct option:

The time period of a simple pendulum is given by,

$T=2\pi \sqrt{\frac{L}{g}}$

Where,

L is the length of the pendulum string

g is the acceleration due to gravity

The time period of the simple pendulum is directly proportional to the square root of its length. as other parameters are universal constant for earth g is constant.

$T\propto \sqrt{L}$

Hence, the time period of a simple pendulum depends on the length of the string.

Hence, the correct option is B.

Explanation of incorrect option:

1. $T=2\pi \sqrt{\frac{L}{g}}$
2. The time period is independent of the mass of the bob as the mass gets canceled because the force of gravity depends on the mass of the bob
3. The time period is independent of the material of the bob as seen from the equation
4. The time period is independent of the mass and density of the material. hence it is also independent of the dimensions of the bob