A satellite is moving around the earth with speed $v$ in a circular orbit of radius $r$. If the orbit radius is decreased by $1\%$, its speed will
A satellite is moving around the earth with speed $v$ in a circular orbit of radius $r$. If the orbit radius is decreased by $1\%$, its speed will
Increase by $1\%$
Increase by $0.5\%$
Decrease by $1\%$
Decrease by $0.5\%$
A satellite is moving around the earth with speed $v$ in a circular orbit of radius $r$. If the orbit radius is decreased by $1\%$, its speed will
$v \propto \frac{1}{{\sqrt r }}.$
$\%$ increase in speed = $\frac{1}{2}$ ($\%$ decrease in radius)
$ = \frac{1}{2}(1\% ) = 0.5\% $
i.e. speed will increase by $0.5\%$
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