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  • A body is moving in a low circular orbit about a planet of mass M and radius R. The radius of the orbit can be taken to be R itself. Then the ratio of the speed of this body in the orbit to escape velocity from the planet is: Option: 1</

A body is moving in a low circular orbit about a planet of mass M and radius R. The radius of the orbit can be taken to be R itself. Then the ratio of the speed of this body in the orbit to escape velocity from the planet is:
Option: 1 \frac{1}{\sqrt{2}}
Option: 2 2
Option: 3 1
Option: 4 \sqrt{2}

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\begin{array}{l} \mathrm{V}_{\text {orbit }}=\sqrt{\frac{\mathrm{GM}}{\mathrm{R}}} \\ \mathrm{V}_{\text {escape }}=\sqrt{\frac{2 \mathrm{GM}}{\mathrm{R}}} \\ \frac{\mathrm{V}_{\text {orbit }}}{\mathrm{V}_{\text {escape }}}=\frac{1}{\sqrt{2}} \end{array}

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Deependra Verma

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