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Q.

x1=12sin⁡(484πt−7πx) and x2=12sin⁡(480πt−7πx) represent the equations of two sound waves. When sounded together, find the beat frequency produced.

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a

2

b

1

c

3

d

4

answer is C.

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Detailed Solution

x1=12sin⁡(484πt−7πx)

=12sin⁡2π242t−7x2

∴ frequency n1=242Hz

x2=12sin⁡(480πt−7πx)

=12sin⁡2π240t−7x2

∴ frequency n2=240Hz

Beat frequency =n1−n2=2

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