The mass of a planet is six times that of the earth. The radius of the planet is twice that of the earth. If the escape velocity from the earth is $V_{e}$,then the escape velocity from the planet is:
- A$\sqrt{3} V_{e}$
- B$\sqrt{2} V_{e}$
- C$V_{e}$
- D$\sqrt{5} V_{e}$
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Escape velocity of a body of $1\, kg$ mass on a planet is $100\, m/s$. Gravitational potential energy of the body on the surface of the planet is ......... $J$.
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Match Column-$I$ with Column-$II$.
Column-$I$ Column-$II$ $(1)$ Value of escape velocity on the surface of the Earth $(a)$ $2.38 \, km \, s^{-1}$ $(2)$ Value of escape velocity on the surface of the Moon $(b)$ $7.92 \, km \, s^{-1}$ $(c)$ $11.2 \, km \, s^{-1}$
| Column-$I$ | Column-$II$ |
|---|---|
| $(1)$ Value of escape velocity on the surface of the Earth | $(a)$ $2.38 \, km \, s^{-1}$ |
| $(2)$ Value of escape velocity on the surface of the Moon | $(b)$ $7.92 \, km \, s^{-1}$ |
| $(c)$ $11.2 \, km \, s^{-1}$ |
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