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MHT CET202611 April 2026Evening ShiftPhysicsWaves and SoundActual

The equation of a progressive wave is Y = 3 [ ( t 3 - x 5 ) + 4 ] where X and Y are in metre and time in second. Which of the following is correct?

Options

  1. AVelocity = 1.5 m/s
  2. BAmplitude = 30 cm
  3. CWavelength = 10 m
  4. DFrequency = 0.2 Hz

Correct answer

C. Wavelength = 10 m

Step-by-step solution

The given equation of the progressive wave is Y = 3 [ ( t 3 - x 5 ) + 4 ] Rewriting the equation, we get Y = 3 ( t 3 - x 5 + 4 ) Comparing this with the standard equation of a progressive wave Y = A ( t - kx + ) , we get: Amplitude A = 3 m = 300 cm Angular frequency = 3 rad/s Wave number k = 5 rad/m Wavelength = 2 k = 2 /5 = 10 m Wave velocity v = k = /3 /5 = 5 3 1.67 m/s Frequency f = 2 = /3 2 = 1 6 0.167 Hz Thus, the only correct statement is that the wavelength is 10 m. Answer: Wavelength = 10 m

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