Question

If the velocity of a wave is 12 m/s and its frequency is 600 hertz, what would be its wavelength?

Answer 1

The wavelength is 0.02 m.

Step-by-step Step-by-step explanation:

Given :

• 
  `\green\star` Velocity = 12 m/s
• 
  `\green\star` Frequency = 600 Hz

To Find :

• 
  `\green\star` Wavelength

Using Formula :

Apply Wavelength formula :

`\star{\small{\underline{\boxed{\sf{\purple{\lambda = (v)/(f)}}}}}}`

• 
  `\pink\star` λ = Wavelength
• 
  `\pink\star` v = Velocity
• 
  `\pink\star` f = Frequency

Solution :

Finding the wavelength by substituting the values in the formula :

`{\longrightarrow{\sf{\lambda = (v)/(f)}}}`

`{\longrightarrow{\sf{\lambda = (12)/(600)}}}`

`{\longrightarrow{\sf{\lambda = \frac{\cancel{12}}{\cancel{600}}}}}`

`{\longrightarrow{\sf{\lambda = (2)/(100)}}}`

`{\longrightarrow{\sf{\lambda = \cancel{(2)/(100)}}}}`

`{\longrightarrow{\sf{\lambda = 0.02}}}`

`\star{\underline{\boxed{\tt{\red{\lambda = 0.02 \: m}}}}}`

Hence, the wavelength is 0.02 m.