Question

if a wave has a velocity of 150 meters per second and a wavelength of 800 CM what is the frequency of the wave in hertz

Answer 1

18.75 is the frequency of the wave in hertz.

Step-by-step explanation:

Velocity of the wave = V = 150 m

Wavelength of the wave =
`\lambda` = 800 cm

`800 cm = 800* 0.01 m = 8 m` ( 1 cm = 0.01 m)

Frequency of the wave =
`\\u`

`(frequency)\\u=(V(velocity)/(\lambda (wavelength))`

`\\u=(150 m/s)/(8 m)=18.75 s^(-1)=18.75 Hz`

18.75 is the frequency of the wave in hertz.

Answer 2

18.8 Hz

Explanation:

The formula relating the frequency (f) and wavelength (λ) is

fλ = v Divide both sides by λ

f = v/λ

Data:

v = 150 m·s⁻¹

λ = 800 cm = 8.00 m

Calculation:

f = 150/8.00

f = 18.8 s⁻¹

f = 18.8 Hz