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MHT CET202410 May 2024Evening ShiftPhysicsMotion in Two DimensionsActual

A particle of mass ' m ' performs uniform circular motion of radius ' r ' with linear speed ' v ' under the application of force ' F '. If ' m ', ' v ' and ' r ' are all increased by 20 % the necessary change in force required to maintain the particle in uniform circular motion, is

Options

  1. A12 %
  2. B14 %
  3. C44 %
  4. D144 %

Correct answer

C. 44 %

Step-by-step solution

Let initial force be, F₁= m^2 r After 20 % increase in all m , v and r , array ll & F ₂= 1.2 ~m (1.2 v )^2 1.2 r =1.44 mv ^2 r =1.44 ~F ₁ & ~F ₂- F ₁=0.44 ~F ₁ & ~F ₂- F ₁ ~F ₁ 100=44 % array i.e., increase in force required is 44 %

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