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JEE Main 2023 (10 Apr, Shift 1) · Satellites - Orbital Velocity & Period

Satellites - Orbital Velocity & Period question from JEE Main 2023 (10 Apr, Shift 1)

Q30JEE Main 2023 · 10 APR · SHIFT 1Easy

Satellites - Orbital Velocity & Period

Two satellites of masses m and 3m revolve around the earth in circular orbits of radii r & 3r respectively. The ratio of orbital speeds of the satellites respectively is

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Answer: (b)

Orbital speed $v = \sqrt{\frac{GM}{r}}$ , independent of satellite mass.
$\frac{v_1}{v_2} = \sqrt{\frac{3r}{r}} = \sqrt{3}$
So the answer is (b) $\sqrt{3}:1$ .

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