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KCET2013PhysicsGravitation

Earth is moving around the sun in elliptical orbit as shown. The ratio of O B and O A is R . Then the ratio of Earth's velocities at A and B is

Options

  1. AR⁻¹
  2. BR
  3. CR
  4. DR^ 2 / 3

Correct answer

C. R

Step-by-step solution

In central force motion, the angular momentum of body remains conserved. i.e., Angular momentum, L=r p=m v r [at minor and major axis v and r are perpendicular] So, if v₁ and v₂ be the speed of earth at A and B , respectively Then, m v₁ r₁=m v₂ r₂ v₁ v₂ = r₂ r₁ = O B O A v₁ v₂ =R So, option (c) is correct.

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