Two planets $A$ and $B$ have same mass and radii $(R)$ . The variation of density of the planets with distance from centre is shown in the following diagrams. The ratio of acceleration due to gravity at the surface of the planets $A$ and $B$ will be
$> 1$
$< 1$
$1$
will depend on the maximum density
Gravitational acceleration on the surface of a planet is $\frac{\sqrt 6}{11}g$ , where $g$ is the gravitational acceleration on the surface of the earth. The average mass density of the planet is $\frac{2}{3}\, times$ that of the earth. If the escape speed on the surface of the earth is taken to be $11\, kms^{-1}$, the escape speed on the surface of the planet in $kms^{-1}$ will be
The mass and the diameter of a planet are three times the respective values for the Earth. The period of oscillation of a simple pendulum on the Earth is $2\,s$. The period of oscillation of the same pendulum on the planet would be
$Assertion$ : Space rocket are usually launched in the equatorial line from west to east
$Reason$ : The acceleration due to gravity is minimum at the equator.
What will be the formula of mass of the earth in terms of $g, R$ and $G$ ?
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?