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Gravitation

Question

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Two planets are revolving around the earth with velocities v₁ and v₂ and in radii r₁ and r₂ ( r₁ > r₂ ) respectively. Then :

v₁ = v₂

v₁ > v₂

v₁ < v₂

$\frac{v_{1}}{r_{1}} = \frac{v_{2}}{r_{2}}$

Solution

B.

v₁ > v₂

$Orbital velocity v = \sqrt{gr} \frac{v_{1}}{v_{2}} = \sqrt{\frac{r_{1}}{r_{2}}} As r_{1} > r_{2} so v_{1} > v_{2}$

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