Q.

A satellite is in a circular equatorial orbit of a radius 7000km around the earth. If it is transferred to a circular orbit of double the radius:

 Column-I Column- II
AAngular momentumPIncreases
BTime periodQdecreases
CPotential energyRbecomes double 
DKinetic energySbecomes half

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a

Aq,Br,Cp,s,Dp,s

b

Aq,Br,Cp,sDs

c

Ap,Bq,Cp,r,Ds

d

Ap,Bp,Cp,s,Dq,s

answer is A.

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Detailed Solution

(a)  L=mvr=mGMer

Lr, , So the angular momemtum increases and becomes  2  times

(b). t2r3, so the time period increases

so the area covered by the satellite increases

(c)        U=GMmr

So, when r is doubled PE becomes half and increases

(d)  KE=GMmr

So, KE decreases and becomes half

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A satellite is in a circular equatorial orbit of a radius 7000km around the earth. If it is transferred to a circular orbit of double the radius: Column-I Column- IIAAngular momentumPIncreasesBTime periodQdecreasesCPotential energyRbecomes double DKinetic energySbecomes half