1
WB JEE 2024
+1
-0.25

A satellite of mass $$\mathrm{m}$$ rotates round the earth in a circular orbit of radius R. If the angular momentum of the satellite is J, then its kinetic energy $$(\mathrm{K})$$ and the total energy (E) of the satellite are

A
$$\mathrm{K}=\frac{\mathrm{J}^2}{\mathrm{mR}^2}, \mathrm{E}=-\frac{\mathrm{J}^2}{2 \mathrm{mR}^2}$$
B
$$\mathrm{K}=\frac{\mathrm{J}^2}{2 \mathrm{mR}^2}, \mathrm{E}=-\frac{\mathrm{J}^2}{2 \mathrm{mR}^2}$$
C
$$\mathrm{K}=\frac{\mathrm{J}^2}{2 \mathrm{mR}^2}, \mathrm{E}=-\frac{\mathrm{J}^2}{\mathrm{mR}^2}$$
D
$$K=\frac{J^2}{2 \mathrm{mR}^2}, E=\frac{J^2}{\mathrm{mR}^2}$$
2
WB JEE 2023
+1
-0.25

Acceleration due to gravity at a height H from the surface of a planet is the same as that at a depth of H below the surface. If R be the radius of the planet, then H vs. R graph for different planets will be,

A
B
C
D
3
WB JEE 2023
+2
-0.5

An earth's satellite near the surface of the earth takes about 90 min per revolution. A satellite orbiting the moon also takes about $$90 \mathrm{~min}$$ per revolution. Then which of the following is true?

[where $$\rho_{\mathrm{m}}$$ is density of the moon and $$\rho_{\mathrm{e}}$$ is density of the earth.]

A
$$\rho_{\mathrm{m}}<\rho_{\mathrm{e}}$$
B
$$\rho_{m}>\rho_{e}$$
C
$$\rho_{m}=\rho_{e}$$
D
4
WB JEE 2022
+1
-0.25

A body of mass m is thrown vertically upward with speed $$\sqrt3$$ ve, where ve is the escape velocity of a body from earth surface. The final velocity of the body is

A
0
B
2 ve
C
$$\sqrt3$$ ve
D
$$\sqrt2$$ ve
EXAM MAP
Medical
NEET