1
WB JEE 2008
+1
-0.25

If the earth shrinks such that its mass does not change but radius decreases to one quarter of its original value then one complete day will take

A
96 hrs
B
48 hrs
C
6 hrs
D
1.5 hrs
2
WB JEE 2008
+1
-0.25

The weight of a body on surface of earth is 12.6 N. When it is raised to a height half the radius of earth, its weight will be

A
2.8 N
B
5.6 N
C
12.6 N
D
25.2 N
3
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
$$K=\frac{J^2}{2 \mathrm{mR}^2}, E=\frac{J^2}{\mathrm{mR}^2}$$
4
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
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