In both figures shown below a hole along the diameter of earth. In first, a particle is released from $A$ and it oscillated with time period $T_1$. In second figure, same particle is released from point $B$ and it oscillates with time period $T_2$ then [$O$ is centre of earth]

An iron ball and a wooden ball of the same radius are released from a height $‘h’$ in vacuum. The time taken by both of them to reach the ground is equal is based on 

The acceleration due to gravity on the planet $ A $ is $9$ times the acceleration due to gravity on planet $B$. $A$ man jumps to a height of $2\,m$ on the surface of $ A$. What is the height of jump by the same person on the planet $B$……….$m$

Assuming the earth to be a sphere of uniform mass density, the weight of a body at a depth $d=\frac{R}{2}$ from the surface of earth, if its werght on the surface of earth is $200\,N$, will be $………..\,N$ ( $Given R =$ Radrus of earth)

A mass falls from a helght $h$ and its time of fall $t$ is recorded in terms of time period $T$ of a simple pendulum. On the surface of earth it is found that $t =2 T$. The entre setup is taken on the surface of another planet whose mass is half of that of earth and radius the same. Same experiment is repeated and corresponding times noted as $t'$ and $T'$.