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MHT CET 2026 (17 Apr, Shift 2) · Satellites - Orbital Velocity & Period

Satellites - Orbital Velocity & Period question from MHT CET 2026 (17 Apr, Shift 2)

Q1MHT CET 2026 · 17 APR · SHIFT 2Easy

Satellites - Orbital Velocity & Period

Two planets A and B are orbiting around the sun. The distances of the two planets A and B from the sun are rAr_A and rBr_B respectively. Also rB=225 rAr_B = 225\,r_A. If the orbital speed of the planet A is 'V' then the orbital speed of planet B will be

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Answer: (c)

  1. Orbital speed v=GMrv = \sqrt{\frac{GM}{r}}, so v∝1rv \propto \frac{1}{\sqrt{r}}.
  2. vBvA=rArB=1225=115\frac{v_B}{v_A} = \sqrt{\frac{r_A}{r_B}} = \sqrt{\frac{1}{225}} = \frac{1}{15}
  3. So the answer is (c) V15\frac{V}{15}.
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