Home
Class 11
PHYSICS
Calculate the speed of sound in a gas in...

Calculate the speed of sound in a gas in which two waves of wavelengths 1 . 00 m and 1 . 0 1 m produce 4 beats per second .

Text Solution

Verified by Experts

Let V be the velocity of sound .
If ` lambda_(1) = 1 m and lambda_(2) = 1 . 01 ` m then
frequencies ` n_(1) = (V)/(lambda_(1)) = (V)/(1) and n_(2) = (V)/(lambda_(2)) = (V)/(1.01)`
Since `n_(1) gt n_(2)`
So, ` n_(1) - n_(2) = 4 `
`:. (V)/(1)-(V)/(1.01) = 4 or, V xx (1.01-1)/(1.01) = 4 `
or, `V = (1 . 01 xx 4)/(0 .01) = 404 m*s^(-1)`
Promotional Banner

Topper's Solved these Questions

  • SUPERPOSITION OF WAVES

    CHHAYA PUBLICATION|Exercise Examination archive with solutions (NEET)|4 Videos

  • STATICS

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|3 Videos

  • THERMOMETRY

    CHHAYA PUBLICATION|Exercise EXAMINATION ARCHIEVE - WBJEE|1 Videos

Similar Questions

Explore conceptually related problems

Two sound waves of wavelengths 50 cm and 51 cm produce 12 beats per second. The velocity of sound is

Calculate the pH of a solution which contains 100 ml of 0.1 M HCl and 9.9 ml 1 M NaOH

Two waves form 10 beats in 3 s in a gas. The wavelengths are 1 m and 1 . 0 1 m , respectively . Find out the velocity of sound in the gas .

Calculate the wavelength of an electron moving with a velocity of 2.05xx10^(7)m*s^(-1) .

A closed air column 32 cm long is in resonance with a tuning fork. Another open air column of length 66 cm is in resonance with another tuning fork. The two forks produce 8 beats per second when sounded together . The speed of sound in air

If the frequency of a sound wave is 250 Hz and wavelenth is 1.32 m, then what is the velocity of the wave

Calculate the ionisation constant of a monobasic acid which gets 1 % ionised in 0.1(M) solution.