A piezo electric quartz plate of Young's modulus of elasticity `8xx10^(10)N//m^(3)` and density `265xx10^(3)kg//m^(3)` is vibrating in resonant condition. The gundamental frequency of vibrationg is 550 KHz. What is thikness of the plate?
A
0.05 cm
B
0.5 cm
C
1.25 cm
D
0.55 cm
Text Solution
Verified by Experts
The correct Answer is:
B
Here, c = `sqrt((Y/P))=sqrt(((8xx10^(10))/(2.65xx10^(3))))` `" "=sqrt(((80xx10^(6))/(2.65)))=549.4m//s` `therefore" "lamda=c/f=(549.4)/(550xx10^(3))` `therefore` For fundamental mofe of vibration, thickness `" "t=(lamda)/(2)=0.4995=0.5 cm`
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