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Question: P and Q are two wires whose fundamental frequencies are 256 Hz and 382 Hz respectively. How many bea...

P and Q are two wires whose fundamental frequencies are 256 Hz and 382 Hz respectively. How many beats in two seconds will be heard by the third harmonic of A and second harmonic of B?

A

4

B

8

C

16

D

zero

Answer

8

Explanation

Solution

Beat frequency

3υ12υ2=3×2562×3823\upsilon_{1} - 2\upsilon_{2} = 3 \times 256 - 2 \times 382

=768764=4s1= 768 - 764 = 4s^{- 1}

Number of beats produced in 2 seconds

= 4 × 2 = 8