Home
Class 11
PHYSICS
The air in a closed tube 34 cm long is v...

The air in a closed tube `34 cm` long is vibrating with two nodes and two antinodes and its temprature is `51^(@)C`. What is the wavelength of the waves produced in air outside the tube, when the temperature of air is `16^(@)C`?

A

`42.8 cm`

B

`68 cm`

C

`17 cm`

D

`102 cm`

Text Solution

Verified by Experts

The correct Answer is:
A
`l = (3 lambda)/(4)`
`:. lambda = (4l)/(3) = (4(34))/(3) = 45.33 cm`
`lambda = (nu)/(f)`
`lambda prop nu` (as `f =`constant)
and `nu prop sqrt(T)` `(T =` temperature)
`:. lambda prop sqrt(T)`
`:. (lambda_(2))/(lambda_(1)) = sqrt((T_(2))/(T_(1))`
`:. lambda_(2) = (sqrt((T_(2))/(T_(1)))) lambda_(1)`
`=(sqrt((16 xx 273)/(51 xx 273))) (45.33)`
`= 42.8 cm`
Promotional Banner

Topper's Solved these Questions

  • SOUND WAVES

    DC PANDEY|Exercise Single correct option|1 Videos

  • SOUND WAVES

    DC PANDEY|Exercise Level 2 More Than One Correct|5 Videos

  • SOUND WAVES

    DC PANDEY|Exercise Subjective Questions|1 Videos

  • SOLVD PAPERS 2017 NEET, AIIMS & JIPMER

    DC PANDEY|Exercise Solved paper 2018(JIPMER)|38 Videos

  • SUPERPOSITION OF WAVES

    DC PANDEY|Exercise Level 2 Subjective|8 Videos

Similar Questions

Explore conceptually related problems

In a resonace tube experiment the lengths of the air columns for the first and second resonace differ by 25 cm . What is the wavelength of the sound in the tube ?

Air column of 20cm length in a resonance tube resonates with a certain tuning fork when sounded at its upper open end. The lower end of the tube is closed and adjustable by changing the quantity of mercury filled inside the tube. The temperature of the air is 27^(@)C . The change in length of the air column required, if the temperature falls to 7^(@)C and the same tuning fork is again sounded at the upper open end is nearly

A source of longitudinal waves vibrates 320 times in two seconds. If the velocity of this wave in the air is 240 m s^(-1) , find the wavelength of the wave .

Sound waves of wavelength 2 m are produced in air at S.T.P. by a tuning fork of frequency 180 Hz. What will be the increase in wavelength of the sound waves if the temperature of air is 30^(@)C ?

Stationary waves in the air column inside a pipe of length 50 cm and closed at one end have three nodes and three antinodes. What is the wavelegth ?

For a resonance tube, the air columns for the first and the second resonance differ in length by 31.5 cm . The wavelength of the wave is

A tuning fork of frequency 220Hz produces sound waves of wavelength 1.5m in air at NTP. Calculate the increase ini wavelenth, when temperature of air in 27^(@)C .

The wavelength of two waves are 50 and 51 cm respectively. The temperature of the room is 20^(@)C . What will be the number of beats produced per second by these waves, if the speed of sound at 0^(@)C is 332 m/sec?

Air is filled in a motor tube at 27^(@)C and at a pressure of 8 atmospheres.The tube suddenly bursts, then temperature of air is [Given gamma of air =1.5 ]