Q.

Let E be the energy required to raise a satellite to height h above earth's surface and E' be the energyrequired to put the same satellite into orbit at that height. Then, E/E' is equal to

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a

2h(R+2h)

b

2h(2R+3h)

c

RR+h

d

2R2h+R

answer is A.

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Detailed Solution

E=ΔU=mgh1+h/R=mghR(R+h)E' = Energy of satellite - Energy of satellite on surface of earth= -GMm2(R+h) - -GMmR=mgR21R-12(R+h)=mg(R+2h)R2(R+h)  ∵GM=gR2Now,  EE' = 2h(R+2h)
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