A transverse wave is represented by y = a sin (?t – kx)

A transverse wave is represented by y = a sin (?t – kx). For what value of the wavelength is the wave velocity equal to the maximum particle velocity?

Options

(a) πA / 2
(b) π A
(c) 2π A
(d) A

Correct Answer:

2π A

Explanation:

y = A sin ( ?t – kx ) particle velocity,
vₚ = dy/ dt = A ? cos ( ?t – kx )
vₚ ₘₐₓ = A ? wave velocity = ? / k
A ? = ? / k i.e., A = 1/k But k = 2π / λ
λ = 2π A

admin:

Related Questions

  1. Huygen’s wave theory could not explain
  2. The cylindrical tube of a spray pump has radius R, one end of which has n fine holes,
  3. Two metal rods 1 and 2 of same lengths have same temperature difference
  4. The device can act as a complete electronic circuit is
  5. Light of frequency 8×10¹⁵ Hz is incident on a substance of photoelectric work