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Manipal MET2012PhysicsRotational Motion

If the angular momentum of any rotating body increases by 200 %, then the increase in its kinetic energy is

Options

  1. A400 %
  2. B800 %
  3. C200 %
  4. D100 %

Correct answer

B. 800 %

Step-by-step solution

aligned E & = L^2 2 l E & L^2 E₂ E₁ & = ( L₂ L₁ )^2 E₂ E₁ & = [ L₁+200 % of L₁ L₁ ] & = [ L₁+2 L₁ L₁ ]^2=(3)^2 E₂ & =9 E₁ aligned Increment in kinetic energy aligned E & =E₂-E₁ & =9 E₁-E₁ E & =8 E₁ E E₁ & =8 aligned or percentage increase =800 %

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