Respuesta :

Hi1315

Answer:

[tex] \red{V = 30 {ms}^{ - 1} }[/tex]

Explanation:

The formula to find the velocity of a wave is:

V = f λ

Here,

V = velocity of the wave

f = frequency of the wave (The number of times per second) = 10Hz

λ = wavelength of the wave = 3m

Let us solve it now.

[tex]V = f λ[/tex]

[tex]V = 10Hz \times \: 3m[/tex]

[tex]V = 30 {ms}^{ - 1} [/tex]

ItzHeartRider

Let assume:

  • Wavelength of the wave = [tex]{\sf \lambda}[/tex]
  • Frequency of the wave = [tex]{\sf f}[/tex]
  • The velocity = [tex]{\sf \nu}[/tex]

Here, we given that the wave vibrates 10 times/second. Implies, it oscillates 10 times in a second, 10 times in the next second and so on.

We have the formula with us [tex]{\boxed{\bf \nu = \lambda f}}[/tex]

Substitute the values given above:

[tex]{:\implies \quad \sf \nu = 10 \times 3 \times \dfrac{m}{s}}[/tex]

Solving will yield

[tex]{\boxed{\rm \nu = Velocity\:=30m/s}}[/tex]

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