The time period of pendulum B is same as that of the time period of pendulum A.
Given data:
The length of pendulum A and B is, L = 3 m.
Period of pendulum A is, T.
Pendulum A is twice as heavy as pendulum B.
To find : The period of pendulum B.
The time taken by a pendulum to complete one oscillation is known an time period or simply period. The mathematical expression for the period of pendulum is,
[tex]T = 2\pi\sqrt{ \dfrac{L}{g}}[/tex]
Here, L is the length of pendulum and g is gravitational acceleration.
From the above equation, it is clear that the time period does not involve the mass or weight of the pendulum. So, the two pendulums will have the same period as long as they are of the same length.
Thus, we can conclude that the time period of pendulum B is same as that of the time period of pendulum A.
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