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Find the ratio of the frequencies of notes $A$ and $C$ played during a musical concert when the speed of sound is $340 m / s$ and the wavelengths of notes $A$ and $C$ are $1.5 m$ and $1.33 m$ respectively.

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3.09

0.89

0.28

0.39

answer is B.

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Detailed Solution

The ratio of the frequencies of notes

A

and

C

0.89

.
Given,
Wavelength of note

(A) = 1.5 m

Wavelength of note

(C) = 1.33 m

and Speed of sound

(v) = 340 m / s

Let frequencies of notes

A

and

C

f (A)

and

f (C)

As we know the formula,

v = λf

So, we can say

Wavelength (A) \times f (A) = wavelength (C) \times f (C)

= v

= f (A) / f (C)

= A / C

= 1.33 / 1.5

= 0.89

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