Two satellites of masses m1 and m2(m1> m2) are revolving round the earth in circular orbits of radii r1 and r2(r1> r2) respectively. Which of the following statements is true regarding their speeds v1 and v2v1?
v1<v2
v1r1=v2r2
v1 = v2
v1>v2
A
v1>v2
B
v1r1=v2r2
C
v1<v2
D
v1 = v2
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Solution
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The correct option is Cv1<v2 consider a satellite revolving at a distance r from the earth.
inward force is GMmr2
and outward force is mv2r
equating both the expression for equilibrium.
so v=√GMr.
so to if r increses then v decrease.
so best possible answer is option C.
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