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MHT CET202613 April 2026Evening ShiftPhysicsWaves and SoundActual

A traveling wave is described by the equation y(x, t) = [0.05 (8x - 4t)] m The velocity of the wave is [All the quantities are in SI unit]

Options

  1. A4 ms ⁻¹
  2. B2 ms ⁻¹
  3. C0.5 ms ⁻¹
  4. D8 ms ⁻¹

Correct answer

C. 0.5 ms ⁻¹

Step-by-step solution

The given equation of the traveling wave is y(x, t) = 0.05 (8x - 4t) m. Comparing this with the standard equation of a traveling wave y(x, t) = A (kx - t) , we get: k = 8 m ⁻¹ = 4 rad s ⁻¹ The velocity of the wave is given by v = k . Substituting the values, we get: v = 4 8 = 0.5 ms ⁻¹

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