If the radius of the earth shrinks by $1.5\%$ (mass remaining same), then the value of acceleration due to gravity changes by ....... $\%$.

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]

If it is assumed that the spinning motion of earth increases, then the weight of a body on equator

The ratio of the weights of a body on the Earth's surface to that on the surface of a planet is $9 : 4$. The mass of the planet is $\frac{1}{9}^{th}$ of that of the Earth. If $'R'$ is the radius of the Earth, what is the radius of the planet ? (Take the planets to have the same mass density)

The variation of acceleration due to gravity $g$ with distance $d$ from centre of the earth is best represented by ($R =$ Earth's radius)

Which of the following statements is true