Question

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

Answer 1

Answer:

The wavelength is 0.02 m.

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 :

$\star{\small{\underline{\boxed{\sf{\purple{\lambda = \dfrac{v}{f}}}}}}}$

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

Solution :

Finding the wavelength by substituting the values in the formula :

${\longrightarrow{\sf{\lambda = \dfrac{v}{f}}}}$

${\longrightarrow{\sf{\lambda = \dfrac{12}{600}}}}$

${\longrightarrow{\sf{\lambda = \dfrac{\cancel{12}}{\cancel{600}}}}}$

${\longrightarrow{\sf{\lambda = \dfrac{2}{100}}}}$

${\longrightarrow{\sf{\lambda = \cancel{\dfrac{2}{100}}}}}$

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

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

Hence, the wavelength is 0.02 m.

Answer 2

Answer:

» λ = 0.02m

Explanation:

Given :

Velocity of the wave {v}= 12 m/s

Frequency {f} = 600 Hz

Apply Wavelength formula :

• $λ = \frac{v}{f}$

→ λ = $\frac{12}{600}$

→ λ = $\frac{1}{50}$

→ λ = 0.02m