Question

Time period of a simple pendulum depends on:
A.) Mass of bob
B.) Length of string
C.) Dimension of bob
D.) Material of the bob

Answer 1

Hint: By the time period of a simple pendulum we mean the time which is taken by the pendulum bob in order to make a complete oscillation. Knowing the definition of time period will help us to find the formula of the time period and know the dependence.

Step by step answer:
Time period of a simple pendulum is represented by the T which can be represented by the formula:

$T\text{ }=\text{ }2\pi \sqrt{\dfrac{l}{g}}$

In the formula, l represents the length of the pendulum string and g is the acceleration due to gravity.

Therefore, we can say that,

$T\text{ }\alpha \text{ }\sqrt{l}$

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

 So the correct option among the others mentioned to the following question is Option B.

A pendulum is based on the principle that when it is displaced sideways from its resting equilibrium position it is subject to a restoring force due to gravity. This force will accelerate the pendulum back toward the equilibrium position.

Additional Information:
Pendulum is defined as a body that is suspended from a fixed point so that it can swing back and forth under the influence of gravity.
Pendulums are used in order to regulate the movement of the clock because that interval of time for each complete oscillation of the pendulum is called its period and it is constant.

Note: The time period of the simple pendulum depends upon the length of the pendulum and also to some extent it depends upon the degree of the amplitude. That is the width of the pendulum’s swing.
In general, the time period of a pendulum means one complete cycle that is one complete left swing and right swing.