Question

A wave is represented by the equation y = (0.001 mm) sin[50s-1)t+2.0 m-1)x].

(a) The wave velocity = 100 m/*.
(b) The wavelength = 2.0 m.
(c) The frequency = 25/π Hz.
(d) The amplitude = 0.001 mm.

Answer 1

**(c) The frequency = 25/π Hz.

(d) The amplitude = 0.001 mm.**

EXPLANATION:

Comparing with a wave equation y = A sin ⍵(t -x/v)

⍵ = 50 s⁻¹, ⍵/v = -2 →v = -50/2 =-25 m/*. Hence the option (a) is not true.

2π/λ = ⍵/v = -2, →λ = -2π/2 = -π m. Hence the option (b) is not true.

⍵ = 50 s⁻¹, →frequency = ⍵/2π = 50/(2*π) = 25/π Hz. Hence option (c) is true.Amplitude = 0.001 mm. Option (d) is correct.