What is the effect on the time period of a simple pendulum, if the mass of the bob is doubled ?

Question

What is the effect on the time period of a simple pendulum, if the mass of the bob is doubled ? (A) Halved (B) Doubled (C) Becomes eight ti mes (D) Becomes zero

Tardigrade Admin · Accepted Answer

The time period of a simple pendulum is

T = 2 π \frac{l}{g}

where l is length of suspension of pendulum, g is acceleration due to gravity. From the above expression, it is clear that time period of a simple pendulum is not dependent on the mass of bob, hence no effect

Q. What is the effect on the time period of a simple pendulum, if the mass of the bob is doubled ?

Halved

Doubled

Becomes eight ti mes

Becomes zero

No effect

The time period of a simple pendulum is
$T = 2 π \frac{l}{g}$
where l is length of suspension of pendulum, g is acceleration due to gravity. From the above expression, it is clear that time period of a simple pendulum is not dependent on the mass of bob, hence no effect