import math
#to calculate fundemental frequency
Y=7.9*10**10 #Young modulus for quartz in Nm**-2
rho=2.65*10**3 #density of quartz in kg/m**3
#the velocity of longitudinal wave is given by
v=math.sqrt(Y/rho) #in m/s
#for fundamental mode of vibration ,thickness is given by lamda/2
lamda=2*0.001 #wavelength in m
nu=v/lamda
print "the fundamental frequency is nu=",round(nu,3),"Hz"
#answer is given wrong in the book ,nu=2730 Hz