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
Famous quotes containing the word mathematics:
“It is a monstrous thing to force a child to learn Latin or Greek or mathematics on the ground that they are an indispensable gymnastic for the mental powers. It would be monstrous even if it were true.”
—George Bernard Shaw (1856–1950)
“The three main medieval points of view regarding universals are designated by historians as realism, conceptualism, and nominalism. Essentially these same three doctrines reappear in twentieth-century surveys of the philosophy of mathematics under the new names logicism, intuitionism, and formalism.”
—Willard Van Orman Quine (b. 1908)
“I must study politics and war that my sons may have liberty to study mathematics and philosophy.”
—John Adams (1735–1826)