Two Identical Flutes Produce Fundamental Notes Of Frequency 300 Hz At 27oC. If The Temperature Of The Air In One Flute Is Increased To 31oC, The Number Of Beats Heard Per Second Will Be

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Question

Two identical flutes produce fundamental notes of frequency 300 Hz at 27oC. If the temperature of the air in one flute is increased to 31oC, the number of beats heard per second will be

Solution

Correct option is

2

 

Let v1 be the speed of sound at 27oC and v2 at 31oC. Then 

Now, frequency ∝ speed of sound. Hence

             

 Hence beat frequency = 302 – 300 = 2.

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