Home
Class 11
PHYSICS
Two plane harmonic sound waves are expre...

Two plane harmonic sound waves are expressed by the equations.
`y_(1)(x,t)-A cos (0.5 pi x-100 pit), y_(2)(x,t)=A cos(0.46 pix-92pi t)` (All parameters are in MKS) :
How many times does an observer hear maximum intensity in one second :-

A

4

B

10

C

6

D

8

Text Solution

Verified by Experts

The correct Answer is:
A

In one second number of maxima is called the beat frequency
Hence, `f_(b)=f_(i)-f_(2)=(100pi)/(2pi)-(92pi)/(2pi)=4Hz`
Promotional Banner

Topper's Solved these Questions

  • WAVES AND OSCILLATIONS

    ALLEN |Exercise Part-1(Exercise-05)[A]|28 Videos
  • SEMICONDUCTORS

    ALLEN |Exercise Part-3(Exercise-4)|50 Videos

Similar Questions

Explore conceptually related problems

Two plane harmonic sound waves are expressed by the equations. y_(1)(x,t)-A cos (0.5 pi x-100 pit), y_(2)(x,t)=A cos(0.46 pix-92pi t) (All parameters are in MKS) : What is the speed of the sound :-

Two plane harmonic sound waves are expressed by the equations. y_(1)(x,t)-A cos (0.5 pi x-100 pit), y_(2)(x,t)=A cos(0.46 pix-92pi t) (All parameters are in MKS) : At x=0 how many times the amplitude of y_(1) + y_(2) is zero in one second :-

Two simple harmonic motion are represented by the equation y_(1)= 0.1 sin(100 pi t+(pi)/(3)) and y_(2)= 0.1 cos pi t . The phase difference of the velocity of particle-1 with respect to the velocity of particle-2 is…………

Two simple harmonic are represented by the equation y_(1)=0.1 sin (100pi+(pi)/3) and y_(2)=0.1 cos pit . The phase difference of the velocity of particle 1 with respect to the velocity of particle 2 is.

Two waves are represented by the equations y _(1) = a sin (omega t + kx + 0.57)m and y_(2) =a cos (omega t + kx) m, where x is in meter and t in sec. The phase difference between them is…….

A simple harmonic motion of a particle is represented by an equation x= 0.01 sin [100 pi (t +0.05)] . Where x is metre and t is in second respectively. The value of time period is…………

Statement-1 : Two longitudinal waves given by equation y_(1)(x,t)=2asin(omegat-kx) and y_(2)(x,t)=a sin (2 omegat-2kx) will have equal intensity. Statement-2 : Intensity of waves of given frequency in same medium is proportional to square of amplitude only.

A wave disturbance in a medium is described by y(x, t) = 0.02 cos(50pit + (pi)/(2))cos(10pix) where x and y are in meter and t is in second

The vibrations of a string of length 60cm fixed at both ends are represented by the equation---------------------------- y = 4 sin ((pix)/(15)) cos (96 pit) Where x and y are in cm and t in seconds. (i) What is the maximum displacement of a point at x = 5cm ? (ii) Where are the nodes located along the string? (iii) What is the velocity of the particle at x = 7.5 cm at t = 0.25 sec .? (iv) Write down the equations of the component waves whose superpositions gives the above wave.

A plane progressive wave is represented by the equation y= 0.25 cos (2 pi t - 2 pi x) The equation of a wave is with double the amplitude and half frequency but travelling in the opposite direction will be :-

ALLEN -WAVES AND OSCILLATIONS-Part-1(Exercise-05)[B]
  1. Standing waves can be produced

    Text Solution

    |

  2. A horizontal stretched string, fixed at two ends, is vibrating in its ...

    Text Solution

    |

  3. One end of a taut string of length 3m along the x-axis is fixed at x =...

    Text Solution

    |

  4. Two plane harmonic sound waves are expressed by the equations. y(1)(...

    Text Solution

    |

  5. Two plane harmonic sound waves are expressed by the equations. y(1)(...

    Text Solution

    |

  6. Two plane harmonic sound waves are expressed by the equations. y(1)(...

    Text Solution

    |

  7. Two trains A and B moving with speeds 20m//s and 30m//s respectively i...

    Text Solution

    |

  8. Two trains A and B moving with speeds 20m//s and 30m//s respectively i...

    Text Solution

    |

  9. Two trains A and B moving with speeds 20m//s and 30m//s respectively i...

    Text Solution

    |

  10. The air column in a pipe closed at one end is made to vibrate in its s...

    Text Solution

    |

  11. A long wire PQR is made by joining two wires PQ and QR of equal radii....

    Text Solution

    |

  12. A 3.6m long vertical pipe resonates with a source of frequency 212.5 H...

    Text Solution

    |

  13. A boat is travelling in a driver in river with a speed 10 m//s along t...

    Text Solution

    |

  14. Two narrow cylindrical pipes A and B have the same length. Pipe A is o...

    Text Solution

    |

  15. In a resonance tube experiment to determine the speed of sound in air,...

    Text Solution

    |

  16. A string of mass per unit length mu is clamped at both ends such that ...

    Text Solution

    |

  17. An observer standing on a railway crossing receives frequencies 2.2 kH...

    Text Solution

    |

  18. A harmonically moving transverse wave on a string has a maximum partic...

    Text Solution

    |

  19. A 20 cm long string, having a mass of 1.0g, is fixed at both the ends....

    Text Solution

    |

  20. Four harmonic waves of equal freuencies and equal intensity I(0) have ...

    Text Solution

    |