Question

A sound wave has a frequency 1000 Hz and wavelength 34 cm. How long will it take to move through 1 km ?​

Answer 1

Answer:

2.94s approx.

Explanation:

Given

• Frequency = 1000 Hz

• Wavelength = 34 cm = (34/100)m = 0.34m

We know that,

$V = f \lambda$

Here,

V = Wave velocity

f = Frequency

λ = wavelength

Hence,

$\rm\dashrightarrow V = 1000 \ Hz \times 0.34 \ m$

$\rm\dashrightarrow V = 340 \ m \ s^{-1}$

Also,

$\rm Velocity = \dfrac{Distance}{Time}$

Therefore, the time period taken by the wave to move 1km or 1000m will be

$\rm \dashrightarrow 340 \ m \ s^{-1}= \dfrac{1000m}{Time}$

$\rm\dashrightarrow Time = \dfrac{1000m}{340 \ m \ s^{-1}} = 2.94s \ approx.$