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)GMm2(R+h)(P)Potential energy of the satellite(B)GMR+h(Q)Kinetic energy of the satellite(C)−GMmR+h(R)Orbital velocity of the satellite(D)2GMR+h(S)Escape velocity

(A)K.E=GmM2(R+h) (B) v0=GMR+h(C)V=−GMmR+h(D)Ve=2GMR+h

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)GMm2(R+h)(P)Potential energy of the satellite(B)GMR+h(Q)Kinetic energy of the satellite(C)−GMmR+h(R)Orbital velocity of the satellite(D)2GMR+h(S)Escape velocity

(A)K.E=GmM2(R+h) (B) v0=GMR+h(C)V=−GMmR+h(D)Ve=2GMR+h

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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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