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Q.

A fire whistle emits a tone of 170 Hz. Take the speed of sound in air to be 340 m/s. Which of the following is the wavelength of this sound?


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a

1 m

b

0.5 m

c

2 m

d

3 m 

answer is C.

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Detailed Solution

A fire whistle emits a tone of 170 Hz. Take the speed of sound in air to be 340 m/s. The wavelength of this sound will be 2 m.
Given the frequency of the whistle (f) = 170 Hz
Speed of sound in air (v) = 340 m/s
The wavelength of the sound wave is given by:
v = f × λ​
⇒λ = v / f 
⇒λ = 340 / 170 
⇒λ = 2 m​
Thus, the wavelength of this sound is 2 m.
 
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