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Q.

Let a satellite of mass m is revolving in a circular orbit of radius r around a planet of mass M such that the system is bound. If E, U, K and B denote total energy potential energy, kinetic energy and binding energy respectively then match the following columns and select the correct option from the codes given below.

 Column-I Column-II
i.Ep.GMm2r
ii.Uq.GMm2r
iii. Kr.-GMmr
iv.Bs.-GMm2r

Codes

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a

i-q, ii-r, iii-s, iv-p

b

i-r, ii-s, iii-p, iv- q

c

i-s, ii-r, iii-q, iv-p

d

i-p, ii-q, iii-r, iv-s

answer is A.

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Detailed Solution

K = 12mv02 = 12m(GMr)2 = GMm2r

      U = -GMmr

        E = U + K = -GMmr+GMm2r = -GMm2r

         B = |E| = GMm2r 

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