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]
$T_1 > T_2$
$T_1 < T_2$
$T_1 = 2T_2$
$T_1 = T_2$
${g_e}$ and ${g_p}$ denote the acceleration due to gravity on the surface of the earth and another planet whose mass and radius are twice as that of earth. Then
The radius of earth is about $6400\; km$ and that of mars is $3200\; km$. The mass of the earth is about $10$ times mass of mars. An object weighs $200 \;N$ on the surface of earth. Its weight on the surface of mars will be .......... $N$
Figure shows variation of acceleration due to gravity with distance from centre of a uniform spherical planet, Radius of planet is $R$. What is $r_2 -r_1.$
$R$ is the radius of the earth and $\omega $ is its angular velocity and ${g_p}$ is the value of $g$ at the poles. The effective value of $g$ at the latitude $\lambda = 60^\circ $ will be equal to
If a tunnel is cut at any orientation through earth, then a ball released from one end will reach the other end in time ........ $\min$ (neglect earth rotation)