Home
Class 11
PHYSICS
A piezoelectric quartz plate of thicknes...

A piezoelectric quartz plate of thickness 5mm is vibrating is resonance. Calculate its fundamental frequency if for quartz.
`Y=8xx10^(10)N//m^(2)` and `rho=2.65xx10^(3)kg//m^(3)`.

Text Solution

Verified by Experts

We known that for longitudinal waves in solids `v =sqrt((Y)/(rho))` so `v=sqrt((8xx10^(10))/(265xx10^(3)))=5.5 xx10^(3)m//s`
Further more for fundamental mode of plate `-(lamda//2)=L` So `lamda=2xx5xx10^(-3)=10^(-2)m`
But as `v = f lamda`, i.e.,`f=(v//lamda)` So `f=[5.5xx10^(3)//10^(-2)]=5.5xx10^(5)Hz=550kHz`.
Promotional Banner

Topper's Solved these Questions

  • WAVES AND OSCILLATIONS

    ALLEN |Exercise Part-2(Example)|15 Videos

  • WAVES AND OSCILLATIONS

    ALLEN |Exercise Part-3(Example)|32 Videos

  • SEMICONDUCTORS

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

Similar Questions

Explore conceptually related problems

A sonometer wire of length 1.5m is made of steel. The tension in it produces an elastic strain of 1% . What is the fundamental frequency of steel if density and elasticity of steel are 7.7 xx 10^(3) kg//m^(3) and 2.2 xx 10^(11) N//m^(2) respectively ?

A steel wire of length 1 m and mass 0.1 kg and having a uniform cross-sectional area of 10^(-6) m^(2) is rigidly fixed at both ends. The temperature of the wire is lowered by 20^(@)C . If the wire is vibrating in fundamental mode, find the frequency (in Hz). (Y_(steel)=2xx 10^(11) N//m^(2),alpha_(steel)=1.21 xx 10^(-5)//.^(@)C) .

Calculate the mass of sun if the mean radius of the earth's orbit is 1.5xx10^(8)km and G=6.67xx10^(-11)Nxxm^(2)//kg^(2)

A moving electron has 4.55 xx 10^(-25) joules of kinetic energy. Calculate its wavelength (mass = 9.1 xx 10^(-31) kg and h = 6.626 xx 10^(-34) kg m^2 s^(-1) ).

A wave stretched between two rigid supports vibrate in its fundamental mode with a frequency of 45 Hz. The mass of wire is 3.5 xx 10^(-2) kg and its linear mass density is 4.0 xx 10^(-2) kg m^(-1) . What is (a) the speed of transverse wave on the string, and (b) the tension in the string?

An aluminium rod having a length 100 cm is clamped at its middle point and set into longitudinal vibrations. Let the rod vibrate in its fundamental mode. The density of aluminium is 2600 kg//m^(3) and its Young's modulus is 7.8xx10^(10) N//m^(2) . The frequency of the sound produced is :-

Two metal spheres are falling through a liquid of density 2xx10^(3)kg//m^(3) with the same uniform speed. The material density of sphere 1 and sphere 2 are 8xx10^(3)kg//m^(3) and 11xx10^(3)kg//m^(3) respectively. The ratio of their radii is :-

A 60 cm long granite rod is fixed at its midpoint and then longitudinal waves are set up in it. Find fundamental frequency of these waves. Density of granite is 2.7 xx 10^(3) kg/m3 and its Young modulus is 9.27 xx 10 ^(10) Pa.

Calculate the mass of 1 mole of neutron in kg (n_(m) = 1.675 xx 10^(27) kg)

ALLEN -WAVES AND OSCILLATIONS-Part-1(Exercise-05)[B]
  1. A piezoelectric quartz plate of thickness 5mm is vibrating is resonanc...

    Text Solution

    |

  2. A string of length 0.4 m and mass 10^(-2) kg is clamped at one end . T...

    Text Solution

    |

  3. A train moves towards a stationary observer with speed 34 m//s. The tr...

    Text Solution

    |

  4. Two vibrating strings of the same material but lengths L and 2L have ...

    Text Solution

    |

  5. The ends of a stretched wire of length L are fixed at x = 0 and x = L....

    Text Solution

    |

  6. Two pulse in a stretched string whose centers are initially 8cm apart ...

    Text Solution

    |

  7. A siren placed at a railway platform is emitting sound of frequency 5 ...

    Text Solution

    |

  8. A sonometer wire resonates with a given tuning fork forming a standing...

    Text Solution

    |

  9. A police car moving at 22 m/s, chases a motorcylist. The police man so...

    Text Solution

    |

  10. In the experiment for the determination of the speed of sound in air u...

    Text Solution

    |

  11. A source of sound of frequency 600 Hz is placed inside water. The spee...

    Text Solution

    |

  12. A closed organ pipe of length L and an open organ pipe contain gass of...

    Text Solution

    |

  13. A source of sound of frequency 600 Hz is placed inside water. The spee...

    Text Solution

    |

  14. An open pipe is in resonance in 2nd harmonic with frequency f(1). Now ...

    Text Solution

    |

  15. A tuning fork of 512 H(Z) is used to produce resonance in a resonance ...

    Text Solution

    |

  16. A massless rod BD is suspended by two identical massless strings AB an...

    Text Solution

    |

  17. A transverse sinusoidal wave moves along a string in the positive x-di...

    Text Solution

    |

  18. A vibrating string of certain length l under a tension T resonates wit...

    Text Solution

    |

  19. The (x, y) co-ordinates of the corners of a square plate are (0, 0), (...

    Text Solution

    |

  20. A transverse sinusoidal wave of amplitude a, wavelength lambda and fre...

    Text Solution

    |

  21. As a wave propagates,

    Text Solution

    |