The following sound waves have what velocity? (a) f = 36.3 hz, λ = 11.0 m m/s (b) f = 363.0 hz, λ = 4.80 m m/s (c) f = 3,630.0 hz, λ = 11.0 cm m/s (d) f = 36,300.0 hz, λ = 4.80 cm m/s

(a) v =  399.3 m/s, (b) v =  1742.4 m/s, (c) v =  399.3 m/s, (d) v = 1742.4 m/s

Explanation:

The velocity of a wave can be defined as:

  (1)

Where and f are the wavelength and frequency of the sound wave.

The values for each case will be replaced in equation (1).

(a) f = 36.3 Hz, λ = 11.0 m

But 1 Hz = s⁻¹, therefore:

So the sound wave has a velocity of 399.3 m/s.

(b) f = 363.0 Hz, λ = 4.80 m

So the sound wave has a velocity of 1742.4 m/s.

(c) f = 3,630.0 Hz, λ = 11.0 cm

Before using equation (1) it is necessary to express in meters.

⇒

So the sound wave has a velocity of 399.3 m/s.

(d) f = 36,300.0 Hz, λ = 4.80 cm

⇒

So the sound wave has a velocity of 1742.4 m/s.