Waves - Result Question 8

8. A transverse wave propagating along x-axis is represented by y(x,t)=8.0sin⁡(0.5πx−4πt−π4) where x is in metres and t is in seconds. The speed of the wave is

[2006]

(a) 0.5πm/s

(b) π4m/s

(c) 8m/s

(d) 4πm/s

Show Answer

Answer:

Correct Answer: 8. (c)

Solution:

  1. (c) Speed of a wave represented by the equation

y(x,t)=Asin⁡(kx−ωt+ϕ) is v=ωk

By comparison, ω=4π;k=0.5π

v=ωk=4π0.5π=8m/sec

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