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AP EAMCET2011PhysicsOscillations

A simple harmonic oscillator consists of a particle of mass m and an ideal spring with spring constant k . The particle oscillates with a time period T . The spring is cut into two equal parts. If one part oscillates with the same particle, the time period will be

Options

  1. A2 T
  2. B2 T
  3. CT 2
  4. DT 2

Correct answer

C. T 2

Step-by-step solution

Mass of the particle =m spring constant =k The time period of oscillator, T=2 m k As k 1 l (where l is the length of spring) array rlrl & k^ & =2 k & & T^ & =2 m 2 k = 1 2 T array

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