Question

A whistle of frequency 500 Hz tied to the end of
string of length 1.2 m revolves at 40 m/s. A listener standing large distance away in the plane of rotation of whistle hears frequencies of what range?
(velocity of sound = 340 m/s)​

Answer 1

The range of frequency is 447.3 Hz to 566.6 Hz.

Explanation:

Given that,

Frequency = 500 Hz

Length = 1.2 m

Revolution = 40 m/s

We need to calculate the frequency

Using formula of frequency

$f_{1}=f\times\dfrac{v}{v+v_{s}}$

$f_{1}=500\times\dfrac{340}{340+40}$

$f_{1}=447.3\ Hz$

We need to calculate the apparent frequency

Using formula of frequency

$f_{1}=f\times\dfrac{v}{v+v_{s}}$

$f_{1}=500\times\dfrac{340}{340-40}$

$f_{1}=566.6\ Hz$

Hence, The range of frequency is 447.3 Hz to 566.6 Hz.

Learn more :

Topic : Frequency

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