A satellite of mass m is orbiting the earth at a height h above its surface. The mass of the earth is M and its radius R.
List I List II
(A) $\frac{GMm}{2 (R + h)}$ (P) Potential energy of the satellite
(B) $\sqrt{\frac{GM}{R + h}}$ (Q) Kinetic energy of the satellite
(C) $\frac{- GMm}{R + h}$ (R) Orbital velocity of the satellite
(D) $\sqrt{\frac{2 GM}{R + h}}$ (S) Escape velocity

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$A - P, B - Q, C - S, D - R$

$A - Q, B - R, C - P, D - S$

$A - R, B - S, C - P, D - Q$

$A - R, B - S, C - Q, D - P$

answer is C.

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Detailed Solution

(A) $K . E = \frac{GmM}{2 (R + h)}$
(B) $v_{0} = \sqrt{\frac{GM}{R + h}}$
(C) $V = \frac{- GMm}{R + h}$
(D) $V_{e} = \sqrt{\frac{2 GM}{R + h}}$

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	List I		List II
(A)	$\frac{GMm}{2 (R + h)}$	(P)	Potential energy of the satellite
(B)	$\sqrt{\frac{GM}{R + h}}$	(Q)	Kinetic energy of the satellite
(C)	$\frac{- GMm}{R + h}$	(R)	Orbital velocity of the satellite
(D)	$\sqrt{\frac{2 GM}{R + h}}$	(S)	Escape velocity