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MHT CET20249 May 2024Morning ShiftPhysicsOscillationsActual

A particle is performing S.H.M. with an amplitude 4 cm . At the mean position the velocity of the particle is 12 ~cm / s . When the speed of the particle becomes 6 ~cm / s , the distance of the particle from mean position is

Options

  1. A3 ~cm
  2. B6 ~cm
  3. C2 3 ~cm
  4. D2 6 ~cm

Correct answer

C. 2 3 ~cm

Step-by-step solution

At mean position, v _ = A array ll & = v_ A = 12 4 =3 rad / s & Now, v= A^2- x ^2 & v ^2= ^2 ( ~A ^2- x ^2 ) & x^2=A^2- v^2 ^2 & x= 16- 36 9 = 12 =2 3 ~cm array

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