First slide

Beats

Question

Two sound waves of length 9 and 10 meters produces 34 beats in 9 seconds. Find velocity sound.

Moderate

A

320 m/sec
B

340 m/sec
C

325 m/sec
D

440 m/sec

Solution

$L e t V b e t h e v e l o c i t y o f s o u n d i n a i r W e k n o w, N o . o f b e a t s = Δ n = n_{1} - n_{2} ∵ \frac{34}{9} = \frac{V}{λ_{1}} - \frac{V}{λ_{2}} \Rightarrow \frac{V}{9} - \frac{V}{10} = \frac{34}{9} \Rightarrow V [\frac{10 - 9}{90}] = \frac{34}{9} \Rightarrow \frac{V}{10} = 34 \Rightarrow V = 340 m / \sec$

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