Question

A wave has a wavelength of 0.625 meters and a speed of 3300 m/s. What is the frequency of the wave?

Answer 1

Given:

• λ= 0.625 m
• v= 3300 m/s
• f= ?

Note that:

• λ: wavelength
• v: velocity
• f: frequency

To find:

• The frequency of the wave.

Solution:

• Frequency is the the number of waves pass per unit time.

`\large\boxed{\bold{Formula:f= (v)/(λ)}}`

Let's solve!

In this question all the values are given so we'll simply have to substitute and solve.

Substitute the values according to the formula.

We'll have to divide the speed by the wavelength.

`f= (3300)/(0.625)`

`\large\boxed{\bold{f= 5280 \: Hz}}`

Hence, the frequency of the given wave is 5280 Hertz.

Answer 2

• Frequency of the wave is 5280 Hz

Step-by-step explanation:

Given that, A wave has a wavelength of 0.625 meters and a speed of 3300 m/s and we need to find the frequency.

Using formula:

`\\ \: \: \dashrightarrow \: \: \: \: \underline{ \boxed{\sf{ F = \frac{ v} {\lambda}}}} \\`

Where,

• F is frequency,
• v is wave speed,
• 
  `\sf \lambda` is Wavelength

On substituting the required values, we get:

`\\ \: \: \dashrightarrow \: \: \: \: \sf F = (3300 \: m/s)/(0.625 \: m) \\ \\ \\ \: \: \dashrightarrow \: \: \: \: \sf F =5280 \: Hz \\ \\ \\`

• Frequency of the wave is 5280 Hz