Waves - Result Question 6

6. The wave described by y=0.25sin(10πx 2πt ), where x and y are in meters and t in seconds, is a wave travelling along the:

(a) -ve x direction with frequency 1Hz.

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(b) +ve x direction with frequency πHz and wavelength λ=0.2m.

(c) +ve x direction with frequency 1Hz and wavelength λ=0.2m

(d) -ve x direction with amplitude 0.25m and wavelength λ=0.2m

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Answer:

Correct Answer: 6. (c)

Solution:

  1. (c) y=0.25sin(10πx2πt)

Comparing this equation with the standard wave equation

y=asin(kxωt)

We get, k=10π

2πλ=10πλ=0.2m

And ω=2π or, 2πv=2πv=1Hz.

The sign inside the bracket is negative, hence the wave travels in +ve x-direction.



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