Simple Pendulum — Prelims Questions

A simple pendulum has a time period $T$ on the surface of the Earth. If its length is doubled and it is taken to a planet where the acceleration due to gravity is four times that on Earth, what will be its new time period?

A simple pendulum is suspended from the ceiling of a lift. If the lift is accelerating upwards with an acceleration of $g/2$, what will be the percentage change in its time period?

A simple pendulum of length $L$ has a time period $T$. If the length of the pendulum is increased by $21$, what is the percentage increase in its time period?

Which of the following statements is TRUE regarding the time period of a simple pendulum?

A simple pendulum is oscillating in a liquid of density $ho_L$. If the density of the bob is $ho_B$ and $ho_B > \rho_L$, how does the time period of the pendulum change compared to its oscillation in air?

A simple pendulum is constructed with a metallic wire. If the ambient temperature increases, how will the time period of the pendulum be affected?