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Q.

Two satellites of masses m₁ and m₂ (m₁ > m₂) are revolving the earth in circular orbits of radius r₁ and r₂ (r₁ > r₂) respectively. Which of the following statement is true regarding their velocities v₁ and v₂.

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a

v₁ > v₂

b

v₁ = v₂

c

v₁ < v₂

d

v₁/r₁ = v₂/r₂

answer is B.

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Detailed Solution

For circular orbit orbital speed

$v = \sqrt{\frac{G M_{e}}{r}}$

$∴ \frac{v_{1}}{v_{2}} = \sqrt{\frac{r_{2}}{r_{1}}} < 1$

$\Rightarrow v_{1} < v_{2}$

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