Velocity of the wave is 45 m/s
Explanation:
Frequency is given by the following equation
f = v/λ, where f is the frequency, v is the velocity of wave and λ is the wavelength.
v = f × λ
⇒ v = 15 × 3 = 45 m/s
The velocity of the wave is 45 m/s.
The frequency (f) of a wave is reciprocal of the time period T of the wave, that is the time taken to complete one wavelength λ.
According to the question,
wavelength λ = 3m,
frequency f = 15Hz = 15s⁻¹
Now,
[tex] f = 1/T[/tex]
and T = λ/v , where v is the velocity of the wave.
⇒ [tex]f=[/tex] v/ λ
⇒ v = f × λ
⇒ v = 15 × 3 m/s
v = 45 m/s is the velocity of the wave.
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