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Q.

Two identical satellites are orbiting at a distance R & 7R from the surface of the earth, R being the radius of the earth. The ratio of their

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a

K.E’s is4:1

b

P.E’s is4:1

c

T.E’s is4:1

d

T.E’s is1:1

answer is C.

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Detailed Solution

(i)h1=R,h2=7R

K.E1=GMm2(R+R),K.E2=GMm2(R+7R)                        

K1K2=164=4

K1:K2=4:1

(ii) P.E1=GMmR+R,P.E2=GMmR+7R                            

P1P2=82RR=41

P1:P2=4:1

(iii) T.E=GMm2(R+h)

T.E1=GMm4R

T.E2=GMm2(R+7R)=GMm16R

T.E1T.E2=41

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