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NEET2010PhysicsWaves and SoundActual

The equation of a wave is y=5 ( t 0.04 - x 4 ) ; where, x is in cm and t is in second. The maximum velocity of the wave will be

Options

  1. A1 ~ms ⁻¹
  2. B2 ~ms ⁻¹
  3. C1.5 ~ms ⁻¹
  4. D1.25 ~ms ⁻¹

Correct answer

D. 1.25 ~ms ⁻¹

Step-by-step solution

Equation of wave y=5 ( t 0.04 - x 4 ) The standard equation of a wave in the given form is y=a ( t- 2 x ) Comparing the given equation with the standard equation, we get a=5 and = 1 0.04 =25 Therefore, maximum velocity of particles of the medium, v_ =a =5 25=125 cms ⁻¹=1.25 ~ms ⁻¹

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