The ratio of energy required to raise a satellite to a height h above the earth's surface to that required to put it into the orbit is
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a
h : 2R
b
2h : R
c
R : h
d
h : R
answer is B.
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Detailed Solution
E1 = ∆U = mgh1+h/RE2 = Energy of satellite-Energy of sateilite on surface of earth=-GMm2(R+h)+GMmR=mgR1-12(1+h/R) ∵GM=gR2⇒ E2=mgR2hR+121+hR∴ E1E2=mgh1+hR×21+hRmgR=2hR ∵h<