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Gravitation — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysicsGravitation2 Marks
Question
Two satellites A and B go around a planet Pin circular orbits having radius 4R and R respectively. If the speed of the satellite A is 3V, find the speed of the satellite B.
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Answer

$\text{As},\text{v}_{\text{o}}=\sqrt{\frac{\text{GM}}{\text{R}}}$ $\text{So},3\text{v}=\sqrt{\frac{\text{GM}}{4\text{R}}}\text{ and }\text{v}'=\sqrt{\frac{\text{GM}}{\text{R}}}$ $\therefore\frac{\text{v}'}{3\text{v}}=2\text{ or }\text{v}'=6\text{v}$

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