(D) The escape velocity $v_e$ is given by the formula $v_e = \sqrt{\frac{2GM}{R}}$.For the Earth,the escape velocity is approximately $11.2 \, km \, s

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(D) The escape velocity $v_e$ is given by the formula $v_e = \sqrt{\frac{2GM}{R}}$.For the Earth,the escape velocity is approximately $11.2 \, km \, s^{-1}$. Thus,$(1)$ matches with $(c)$.For the Moon,the escape velocity is approximately $2.38 \, km \, s^{-1}$. Thus,$(2)$ matches with $(a)$.Therefore,the correct matching is $(1-c), (2-a)$.

Class 11 Physics Gravitation Escape Velocity and Escape Energy

Medium

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	$(b)$ $7.92 \, km \, s^{-1}$
	$(c)$ $11.2 \, km \, s^{-1}$

A
$(1-a), (2-b)$
B
$(1-c), (2-b)$
C
$(1-b), (2-a)$
D
$(1-c), (2-a)$

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Escape Velocity and Escape Energy

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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 $(b)$ $7.92 \, km \, s^{-1}$ $(c)$ $11.2 \, km \, s^{-1}$

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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 $(b)$ $7.92 \, km \, s^{-1}$

$(c)$ $11.2 \, km \, s^{-1}$