Wavelengths of two notes in air are 83/170m and 83/172 m. Each of these notes produce 4 beats per second with the third note of fixed frequency Find the velocity of sound in air.
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Answer:
let wavelength L
so the frequency = c/L
Given c / (85/172) - c/L = 4
andd c/L - c/(85/170) = 4
on adding c (2/85) = 8
So c = 340 m/s
so the third note frequency is 340/L
From (1) 340 x 172 / 85 - 340/L = 4
So 340/L = 684 Hz
Frequency of third note is 684 Hz and velocity of sound is 340 m/s..
Explanation:
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