Mathematics
The grating element is equal to the wavelength of the ultrasonic waves. Let it be denoted by . If is the wavelength of the light passed through the grating which is diffracted by an angle, then the nth order of the maximum is given by:
or
If v is the velocity of the ultrasonic wave in the liquid we can calculate the velocity of the wave with:
or,
where is the frequency of the wave.
Read more about this topic: Ultrasonic Grating
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“Mathematics alone make us feel the limits of our intelligence. For we can always suppose in the case of an experiment that it is inexplicable because we don’t happen to have all the data. In mathematics we have all the data ... and yet we don’t understand. We always come back to the contemplation of our human wretchedness. What force is in relation to our will, the impenetrable opacity of mathematics is in relation to our intelligence.”
—Simone Weil (1909–1943)
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—Samuel Butler (1612–1680)
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