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Question

y=15sin(660t0.02x)can be used to calculate the equation of a progressive wave. The wave has a frequency of


A

330Hz

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B

342Hz

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C

365Hz

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D

660Hz

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Solution

The correct option is A

330Hz


Step 1. Given data:

y=15sin(660πt-0.02πx)

Step 2. Formula used:

The general equation for a progressive wave is,

y(x,t)=Asin(ωt-kx)

Step 3. Calculating the frequency,

On comparing the given equation and the general equation of progressive wave we get,

Hence, ω=660π (ω=Angular frequency, f=Linear frequency)

2πf=660πf=660π2π=330

f=330Hz

Thus, the frequency is330Hz

Hence, option A is the correct answer.


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