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NEET2015PhysicsMotion in Two DimensionsActual

The radii of circular paths of two particles of same mass are in ratio 6: 8 then what will be velocities ratio if they have a constant centripetal force?

Options

  1. A3 : 4
  2. B4: 3
  3. C2: 3
  4. D3 : 2

Correct answer

D. 3 : 2

Step-by-step solution

aligned & Here, r₁ r₂ = 6 8 , m₁ m₂ =1 & F₁ F₂ =1 or, F₁=F₂ & or m₁ v₁^2 r₁ = m₂ v₂^2 r₂ & or v₁^2 v₂^2 = r₁ r₂ m₂ m₁ = 6 8 1= 3 4 & v₁ v₂ = 3 2 aligned

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