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NEET2015PhysicsWaves and SoundActual

The equation of a progressive wave is given by y=5 (100 t-0.4 x) where y and x are in m and t is in s . (1) The amplitude of the wave is 5 ~m . (2) The wavelength of the wave is 5 ~m . (3) The frequency of the wave is 50 ~Hz . (4) The velocity of the wave is 250 ~m ~s ⁻¹ . Which of the following statements are correct?

Options

  1. A(1), (2) and (3)
  2. B(2) and (3)
  3. C(1) and (4)
  4. DAll are correct

Correct answer

D. All are correct

Step-by-step solution

The equation of a given progressive wave is y=5 (100 t-0.4 x) The standard equation of a progressive wave is y=a ( t-k x) Comparing (i) and (ii), we get a=5 ~m , =100 rad s ⁻¹, k=0.4 m ⁻¹ (1) Amplitude of the wave, a=5 ~m (2) Wavelength of the wave, = 2 k = 2 0.4 =5 ~m (3) Frequency of the wave, v= 2 = 100 2 =50 ~Hz (4) Velocity of the wave, v=v = (50 ~s ⁻¹ )(5 ~m )=250 ~m ~s ⁻¹

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