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two satellites of masses m1 and m2( m1>m2) are revolving aroumd the earth in ircular orbits of radii r1 and r2 (r1>r2 ) respectively. Which of the following is true regarding their respective speeds v1 and v2?

A. v1=v2 B.v1>v2 C. v1<v2 D. cannot be predicted

As we know that the speed of the satellite revolving around the earth in a circular orbit is inversely proportional to the square root of the radius of the orbit .

As here in this case r

_{1}> r

_{2}.

$So,\frac{{v}_{1}}{{v}_{2}}=\sqrt{\frac{{r}_{2}}{{r}_{1}}}\phantom{\rule{0ex}{0ex}}Nowas{r}_{1}{r}_{2}\phantom{\rule{0ex}{0ex}}So,\frac{{r}_{2}}{{r}_{1}}1.\phantom{\rule{0ex}{0ex}}Sohere\frac{{v}_{1}}{{v}_{2}}1\phantom{\rule{0ex}{0ex}}Therefore,{v}_{1}{v}_{2}.$

So , C is the correct option .

Regards

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