Home
Class 11
PHYSICS
A sound wave travels with a velocity of ...

A sound wave travels with a velocity of 300 m `s^(-1)` through a gas. 9 beats are produced in 3 s when two waves pass through it simultaneously. lf one of the waves has 2 m wavelength, the wavelength of the other wave is

A

1.98 m

B

2.04 m

C

2.06 m

D

1.99 m

Text Solution

Verified by Experts

The correct Answer is:
B
No. of beats per second=`9/3=3s^(-1)`
No. of beats per second=`upsilon_(1)-upsilon_(2)`
`3=v/(lamda_(1))-v/(lamda_2)=v[1/lamda_(1)-1/lamda_(2)]`
`3/300=1/2-1/lamda_(2)`
`1/lamda_(2)=1/2-1/lamda_(2)`
`1/lamda_(2)=1/2-1/100=(50-1)/100=49/100`
`lamda_(2)=100/49=2.04m`
Promotional Banner

Topper's Solved these Questions

  • WAVES

    NCERT FINGERTIPS|Exercise Doppler Effect|10 Videos

  • WAVES

    NCERT FINGERTIPS|Exercise Higher Order Thinking Skills|8 Videos

  • WAVES

    NCERT FINGERTIPS|Exercise Reflection Of Waves|31 Videos

  • UNITS AND MEASUREMENTS

    NCERT FINGERTIPS|Exercise Assertion And Reason|15 Videos

  • WORK , ENERGY AND POWER

    NCERT FINGERTIPS|Exercise Assertion And Reason|15 Videos

Similar Questions

Explore conceptually related problems

A sound wave travels 60m in the time taken to produce 50 waves. Find the wavelength of the sound wave in centimeters

A sound wave travels with a speed of 330 ms^(-1) in air. If the wavelength of the wave is 330 cm, then the frequency of the wave is ______

The speed of sound in a gas is 500 m/s. Two sound waves progressing simultaneously through this gas produce 5 beats/sec. If the wavelength of one of them is 2.5 m, then the wavelength of the other will be

The speed of a wave in a medium is 760 m/s. If 3600 waves are passing through a point in the medium in 2 min, then their wavelength is