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JEE Main 2019 (12 Jan, Shift 2) · Satellite Energy & Weightlessness

Satellite Energy & Weightlessness question from JEE Main 2019 (12 Jan, Shift 2)

Q26JEE Main 2019 · 12 JAN · SHIFT 2Medium

Satellite Energy & Weightlessness

Two satellites, A and B, have masses m and 2m respectively. A is in a circular orbit of radius R, and B is in a circular orbit of radius 2R around the earth. The ratio of their kinetic energies, TA/TB, is;

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Answer: (d)

  1. K=GMm2r∝mrK = \frac{GMm}{2r} \propto \frac{m}{r}.
  2. TATB=mR⋅2R2m=1\frac{T_A}{T_B} = \frac{m}{R}\cdot\frac{2R}{2m} = 1.
  3. So the answer is (d) 1.
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