Question

plzzzz solve this. a body vibrating with a time period of 1/250s produces a sound wave which travels in air with a velocity of 350 m/s .calculate the wavelength

Answer 1

Time period = 1/256s
We know,
Velocity = frequency × wavelength
We need to find frequency:
Time period is reciprocal of frequency..
∴Frequency = \frac{1}{ \frac{1}{256 } }​​256​​1​​​​1​​ 
                    = 256 Hz
So, Velocity = frequency × wavelength
Then, wavelength = \frac{velocity}{frequency}​frequency​​velocity​​ 
                             = \frac{350}{256}​256​​350​​ 
                             = 1.367 m

Answer 2

Given Time period = 1/250 sec.

We know that Frequency = 1/Time period

                                           = 1/1/250 

                                           = 250 HZ


Given Velocity = 350m/s,

We know that Velocity = Wavelength * Frequency

350 = Wavelength * 250

Wavelength = 350/250

                     = 1.4 m.


Therefore the wavelength of the sound wave = 1.4m.


Hope this helps!