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 8 times (D) No effect

Tardigrade Admin · Accepted Answer

Time period of a simple pendulum, T = 2π √(L/g) It means T is independent of mass of the bob m. Hence, if mass is doubled, T will not change.

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

Halved

Doubled

Becomes $8$ times

No effect

Time period of a simple pendulum,
$T = 2 π \frac{L}{g}$
It means $T$ is independent of mass of the bob $m$ . Hence, if mass is doubled, $T$ will not change.