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BITSAT2014PhysicsOscillationsActual

Two particles P and Q describe S.H.M. of same amplitude a, same frequency f along the same straight line. The maximum distance between the two particles is a 2 . The initial phase difference between the particle is -

Options

  1. Azero
  2. B/ 2
  3. C/ 6

Correct answer

B. / 2

Step-by-step solution

x ₁= a ( t + ₁ ), x ₂= a ( t + ₂ ) | x ₁- x ₂ |=2 a ( t + ₁+ ₂ 2 ) ( ₁- ₂ 2 ) Tomaximize | x ₁- x ₂ |: ( t + ₁+ ₂ 2 )=1 a 2 =2 a 1 ( ₁- ₂ 2 ) 1 2 = ( ₁- ₂ 2 ) 4 = ₁- ₂ 2 ₁- ₂= 2

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