NEET Questions

A perfectly spherical planet X has twice the radius of Earth and half the average density. An object weighs 100 N on Earth's surface. What would be its weight on the surface of planet X?

Imagine a planet with a non-uniform density distribution. Its core has a density $\rho_c$, and the outer shell has a density $\rho_s$. If the core radius is half the total radius R, what core density $\rho_c$ would result in the same surface gravity as Earth (assuming the shell density $\rho_s$ is negligible)?

If Earth's density were doubled while its radius remained constant, the acceleration due to gravity at its surface would:

If Earth's radius were doubled while its mass remained constant, the acceleration due to gravity at its surface would:

A planet has a radius R and density $\rho$. If both are doubled, the acceleration due to gravity at its surface will:

At what height above the Earth's surface is the acceleration due to gravity half of its value at the surface? (R is the radius of Earth)

The value of acceleration due to gravity 'g' is maximum at the:

If the Earth were to shrink to half its radius without changing its mass, the value of 'g' on its surface would become:

At what height above the Earth's surface is the value of 'g' half of its value at the surface? (R = Radius of Earth)

The value of 'g' at the center of the Earth is: