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MHT CET Medical202625 April 2026Evening ShiftPhysicsWaves and SoundActual

For the given wave equation y = 10 ( x 4 + t 2 ) , the CORRECT statement is ( where x is in metre and time t is in second.)

Options

  1. Afrequency = 0.25 Hz
  2. BWavelength = 10 m
  3. Cvelocity = 20 cm/s
  4. Dangular velocity = 2

Correct answer

A. frequency = 0.25 Hz

Step-by-step solution

The given wave equation is y = 10 ( x 4 + t 2 ) Rewriting the equation, we get y = 10 ( 4 x + 2 t ) Comparing with the standard wave equation y = A (kx + t) , we get: Angular frequency = 2 rad/s Wave number k = 4 m ⁻¹ Frequency f = 2 = /2 2 = 0.25 Hz Wavelength = 2 k = 2 /4 = 8 m Wave velocity v = f = 0.25 8 = 2 m/s = 200 cm/s Thus, the only correct statement is frequency = 0.25 Hz . Answer: frequency = 0.25 Hz

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