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99 Percentile Qs Bank for JEE MainPhysicsGravitation

Two small satellites are moving in circular orbits around the earth at a distance R and R + △ R from the centre of the earth. If their time period of rotation are T and T + △ T respectively, then ( ΔR < K )

Options

  1. AΔT = T ΔR R
  2. BΔT = 3 T ΔR R
  3. CΔT = 3 2 T ΔR R
  4. DΔT = 2 3 T ΔR R

Correct answer

C. ΔT = 3 2 T ΔR R

Step-by-step solution

T ∝ R 3 2 ( T + ΔT ) T = R + ΔR R 3 / 2 1 + ΔT T = 1 + ΔR R 3 / 2 ∴ Δ R < < R 1 + ΔT T = 1 + 3 2 ΔR R ΔT T = 3 2 ΔR R ΔT = 3 2 T · ΔR R

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