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Chapter 7: Q7-13-12MP (page 388)

What would be the apparent frequency of a sound wave represented by

p(t)=鈭�n=1鈭�cos60n蟺t100(n-3)2+1?

Short Answer

Expert verified

The apparent frequency of a sound waveis 90Hz.

Step by step solution

01

Given Information.

The given equation isp(t)=鈭�n=1鈭�cos60n蟺t100n-32+1?

02

Step 2: Meaning of the apparent frequency of a sound wave.

When the source moves with velocity towards the stationary listener, the perceived frequency of sound heard by the listener is ten percent higher than the actual frequency of the note emitted by the source.

03

Find the apparent frequency of a sound wave.

The functionan=nthen the function has a sharp spike at n=3

withrole="math" localid="1664373395549" a3=1, and the next largest terms are:

a2=a4=1101

Hence, they are negligible.

Thus, the apparent frequency is

180蟺迟=2蟺迟TT=190

Since T=1f

Therefore, the apparent frequency of a sound waveis 90Hz .

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