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A plate was cut from a quartz crystal an...

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

A

`71.75` cm

B

`7.175` cm

C

`6.02` cm

D

`0.07` cm

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