Question

What is the velocity of a wave in a medium, if it has a frequency of 540 Hz and a wavelength of 30 cm?​

Answer 1

Answer:-

$\red{\bigstar}$ Velocity of sound wave $\large\leadsto\boxed{\tt\purple{16200 \: m/s}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Given:-

Frequency of sound wave = 540 Hz

Wavelength = 30 m

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• To Find:

Velocity of the wave.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Solution:-

We know,

$\pink{\bigstar}$ $\large\underline{\boxed{\bf\green{v = f \times \lambda}}}$

where,

v = velocity of the wave

f = frequency of the wave

λ = wavelength

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Substituting in the Formula:-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ $\sf v = 540 \times 30$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

★ $\large{\bf\pink{16200 \: m/s}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Therefore, the velocity of the wave is 16200 m/s.