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7.Gravitation
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A satellite is moving around the earth with speed $V$ in circular orbit of radius $r$ . If the orbital radius is decreased by $2\%$ , the speed of the satellite will
A
Increase by $1\%$
B
Increase by $0.5\%$
C
Decrease by $1\%$
D
Decrease by $0.5\%$
Solution
$\mathrm{v}=\sqrt{\frac{\mathrm{GM}}{\mathrm{r}}}, \quad \mathrm{v} \propto \frac{1}{\sqrt{\mathrm{r}}}$
$100 \times \frac{\Delta \mathrm{v}}{\mathrm{v}}=-\frac{1}{2} \frac{\Delta \mathrm{r}}{\mathrm{r}} \times 100$
increased by $1 \%$
Standard 11
Physics
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