A plate was cut from a quartz crystal and is used to control the frequency of an oscillating electrical circuit. Longitudinal standing waves are set up in the plate with displacement antinodes at opposite faces. The fundamental frequency of vibration is given by the equation `f_(0) = (2.87 xx 10^(4))/(s)` .Here s is thickness of the plate and density of quartz is `2658.76 kg//m^(3)`
Young’s modulus of elasticity for quartz is –

A plate was cut from a quartz crystal and is used to control the frequency of an oscillating electrical circuit. Longitudinal standing waves are set up in the plate with displacement antinodes at opposite faces. The fundamental frequency of vibration is given by the equation f_(0) = (2.87 xx 10^(4))/(s) .Here s is thickness of the plate and density of quartz is 2658.76 kg//m^(3) If the quartz plate is vibrating in 3rd harmonic while measuring the frequency of 1.2 xx 10^(6) Hz, then the thickness of the plateis

If the velocity of sound wave in a medium of density 2200 kg//m^3 is 4 km//s . The modulus of elasticity of the medium is

The bulk modulus of quartz is 2.70xx 10^(10) Nm^(-2) . Calculate its Young's modulus if the Poisson's ratio of quartz is 0.154.

For a simple harmonic oscillator, the aceeleration is 3 m//s^(2) when the displacement is 0.03 m. The angular frequency of the oscillator 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.

A metallic rod of length 1 m, young's modulus 3xx10^(11)Nm^(-3) and density is 7.5xx10^2 (kg)/m^3 clamped at its middle. Longitudinal stationary vibrations are produced in the rod with the total number of displacement nodes equal to 3. The frequency of vibrations is

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) .

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) .

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) .

Ultrasonic waves produced by a vibrating quartz crystal are