Q. Derive a mathematical relation between the frequency and the time period of a sound wave.
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The wave velocity and the wavelength are related to the wave's frequency and period by vw=λT or vw=fλ. The time for one complete wave cycle is the period T. The number of waves per unit time is the frequency ƒ. The wave frequency and the period are inversely related to one another.
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Because all light waves move through a vacuum at the same speed, the number of wave crests passing by a given point in one second depends on thewavelength. ... The equation that relates wavelengthand frequency for electromagnetic waves is: λν=c where λ is the wavelength, ν is the frequency and c is the speed of light.
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