Question

A wave has a wavelength of 3 meters and it vibrates 10 times per second. What is the velocity of this wave?

Answer 1

Let assume:

• Wavelength of the wave =
  `{\sf \lambda}`
• Frequency of the wave =
  `{\sf f}`
• The velocity =
  `{\sf \\u}`

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
`{\boxed{\bf \\u = \lambda f}}`

Substitute the values given above:

`{:\implies \quad \sf \\u = 10 * 3 * (m)/(s)}`

Solving will yield

`{\boxed{\rm \\u = Velocity\:=30m/s}}`

Answer 2

`\red{V = 30 {ms}^( - 1) }`

Step-by-step 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.

`V = f λ`

`V = 10Hz * \: 3m`

`V = 30 {ms}^( - 1)`