$A$ simple pendulum is vibrating in an evacuated chamber. It will oscillate with

$A$ simple pendulum oscillates with an angular amplitude $\theta$. If the maximum tension in the string is twice the minimum tension, then $\theta$ is

$A$ simple pendulum of length $1 \,m$ is freely suspended from the ceiling of an elevator. The time period of small oscillations as the elevator moves up with an acceleration of $2 \,m/s^2$ is (use $g=10 \,m/s^2$).

The time period of a simple pendulum in air is $T$. If the pendulum is immersed in water and executes $SHM$,its time period is $t$. The value of $\frac{T}{t}$ is [density of the bob is $\frac{5000}{3} \ kg \ m^{-3}$ and density of water is $1000 \ kg \ m^{-3}$].

What is the velocity of the bob of a simple pendulum at its mean position,if it is able to rise to a vertical height of $10\,cm$ $(g = 9.8\,m/s^2)$?

If a simple pendulum is taken to a place where $g$ decreases by $4\%$,then the time period