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JEE Main 2022 (25 Jun, Shift 2) · Satellites - Orbital Velocity & Period

Satellites - Orbital Velocity & Period question from JEE Main 2022 (25 Jun, Shift 2)

Q40JEE Main 2022 · 25 JUN · SHIFT 2Easy

Satellites - Orbital Velocity & Period

Two satellites S1 and S2 are revolving in circular orbits around a planet with radius R1 = 3200 km and R2 = 800 km respectively. The ratio of speed of satellite S1 to be speed of satellite S2 in their respective orbits would be 1x\frac{1}{x} where x = ___________.

Numerical answer type. Work it out, then open the answer.

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Answer: 2

  1. Orbital speed v∝1Rv \propto \frac{1}{\sqrt{R}}.
  2. v1v2=R2R1=8003200=12\frac{v_1}{v_2} = \sqrt{\frac{R_2}{R_1}} = \sqrt{\frac{800}{3200}} = \frac{1}{2}
  3. So x=2x = 2.
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