A satellite is moving around earth with speed V in circular orbit of radius r . If orbital radius is

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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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