Gravitation Tes...

If R$=$radius of the earth and g $=$acceleration due to gravity on the surface of the earth, the acceleration due to gravity at a distance (r<R) from the centre of the earth is proportional to

If R$=$radius of the earth and g$=$acceleration due to gravity on the surface of the earth, the acceleration due to gravity at a distance (r>R) from the centre of the earth is proportional to

The height at which the value of acceleration due to gravity becomes $50$% of that at the surface of the earth (Radius of the earth $= 6400$ km) is nearly

The acceleration due to gravity on the surface of moon is $1/6$ that on the earth and the diameter of the earth is $4$ times the diameter of the moon. The rough ratio of the escape velocity of the moon to that of the earth is

If the radius of earth decreases by $10\%$, the mass remaining unchanged, then the acceleration due to gravity

What is the escape velocity from the surface of the earth of radius $R$ and density $\rho$ ?

The ratio of the radii of planets A and B is $K_{1}$ and ratio of accelerations due to gravity on them is $K_{2}$ The ratio of escape velocities from them will be:

A spaceship is launched into a circular orbit of radius $R$ close to the surface of earth. The additional velocity to be imparted to the spaceship in the orbit to overcome the earth's gravitational pull is : $($ $g =$ acceleration due to gravity $)$

If the radius of earth were to shrink by one percent, its mass remaining the same, the acceleration due to gravity on the earth's surface would

A tunnel is dug along a diameter of the Earth. The force on a particle of mass $m$ placed in the tunnel at a distance $x$  from the centre is: