Question

How long it will take for a sound wave of 25cm wavelenght and 1.5KHz frequency to travel 1.5 km ?

Answer 1

Wave Speed = Frequency x Wavelength

Change the units of 1.5KHz to Hz
SO 1500Hz.
And 25cm to m
SO 0.25m

Now,1500 x 0.25
15 x 25
= 375 m/s

Answer 2

Hello friend

____________________________

Let's write the given::

frequency = 1.5 kHz

= 1.5 x 10^3Hz

Wavelength= 25 cm = 0.25 m

Distance = 1.5km = 1.5 x 10^3m

we have to find,

time = ?

We know that ,

Time = distance/velocity

Hence,first we have to find it's Velocity

By using the formula, we get

velocity = frequency x Wavelength

v = 1.5 x 10^3 x 0.25

v = 0.375 x 10^3

v = 375 m/s

We have calculated the velocity,now we can easily find the time,

By using the formula,

time = distance/velocity

time = 1.5 x 10^3/375

time = 1500/375

time = 4 sec


Therefore, the sound wave takes 4 sec to travel the distance of 1.5 km.


Thanks..

:)