At a given place where acceleration due to gravity is $‘g’$ $m/{\sec ^2}$, a sphere of lead of density $‘d’$ $kg/{m^3}$ is gently released in a column of liquid of density $'\rho '\;kg/{m^3}$. If $d > \rho $, the sphere will
Fall vertically with an acceleration $‘g’$ $m/{\sec ^2}$
Fall vertically with no acceleration
Fall vertically with an acceleration $g\,\left( {\frac{{d - \rho }}{d}} \right)$
Fall vertically with an acceleration $g\,\left( {\frac{\rho }{d}} \right)$
If the angular velocity of earth's spin is increased such that the bodies at the equator start floating, the duration of the day would be approximately ........ minutes
(Take : $g =10 \,ms ^{-2},$ the radius of earth, $R =6400 \times 10^{3}\, m ,$ Take $\left.\pi=3.14\right)$
A body has a weight $90\, kg$ on the earth's surface, the mass of the moon is $1/9$ that of the earth's mass and its radius is $1/2$ that of the earth's radius. On the moon the weight of the body is .......... $kg$
Two planets have same density but different radii. The acceleration due to gravity would be ........
The ratio of inertial mass and gravitational mass has been found to be $1$ for all material bodies. Were this ratio different for different bodies, the two bodies having same gravitational mass but different inertial mass would have?
Write the equation of acceleration which is used for height $h < \,< R_e$ from the surface of earth.