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MHT CET2009PhysicsOscillations

A particle performing SHM has time period 2 3 and path length 4 ~cm . The displacement from mean position at which acceleration is equal to velocity is

Options

  1. A0 ~cm
  2. B0.5 ~cm
  3. C1 am
  4. D1.5 ~cm

Correct answer

C. 1 am

Step-by-step solution

Velocity v= A²-x² and acceleration = ² x Given, A²-x² = ² x or A²-x² = x Given, T= 2 3 and = 2 T = 3 Substituting the value of in Eq (i), we get A²-x² = 3 x A=2 x aligned As amplitude &= path length 2 =2 ~cm x=1 ~cm aligned

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