# The Wavelengths of Two Sound Waves in Air Arethey Produce 10 Beats per Second. Calculate the Velocity of Sound in Air - Physics

Sum

The wavelengths of two sound waves in air are 81/173m and 81/170m. They produce 10 beats per second. Calculate the velocity of sound in air

#### Solution

Data: lambda_1 = 81/173m = 0.468 m

lambda_2 = 81/170 m = 0.476 m

Δn = 10 beats

Formula:

Δn = n1 - n2

= V/lambda_1 - V/lambda_2

Δn = n1 - n2

= V[1/lambda_1 - 1/lambda_2]

10 = V[173/81-170/81]

10 = V[3/81]

10 = V(10xx81)/3

V = 270 m/s

Concept: Wave Motion
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