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MHT CET Medical202624 April 2026Morning ShiftPhysicsWaves and SoundActual

A wave is represented by the equation y=0.2 4 [ t 0.08 + x 0.8 + 1 12 ] in SI units. The expression represents a wave traveling in the

Options

  1. Apositive x-direction with velocity 10 m/s and with wavelength 0.4 m.
  2. Bnegative x-direction with velocity 10 m/s and with wavelength 0.4 m.
  3. Cpositive x-direction with velocity 20 m/s and with wavelength 0.6 m.
  4. Dnegative x-direction with velocity 20 m/s and with wavelength 0.6 m.

Correct answer

B. negative x-direction with velocity 10 m/s and with wavelength 0.4 m.

Step-by-step solution

The given wave equation is y = 0.2 4 [ t 0.08 + x 0.8 + 1 12 ] Comparing this with the standard wave equation y = A ( t + kx + ) = 4 0.08 = 50 rad/s k = 4 0.8 = 5 rad/m Since the signs of t and kx are the same, the wave is traveling in the negative x-direction. The velocity of the wave is v = k = 50 5 = 10 m/s The wavelength is = 2 k = 2 5 = 0.4 m Answer: negative x-direction with velocity 10 m/s and with wavelength 0.4 m.

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