What is the beat frequency produced when following two waves are sounded together ?x1 = 10 sin (404πt – 5πx),x2 = 10 sin (400πt – 5πx). 4132
Question
What is the beat frequency produced when following two waves are sounded together ?x1 = 10 sin (404πt – 5πx),x2 = 10 sin (400πt – 5πx). 4132
Solution
The beat frequency is produced by the interference of two waves of different frequencies. It is calculated by taking the absolute difference of the two frequencies.
The frequency of a wave is given by the coefficient of 't' in the equation of the wave.
For the first wave, x1 = 10 sin (404πt – 5πx), the frequency is 404/2 = 202 Hz (since 2πf is the coefficient of 't', where f is the frequency).
For the second wave, x2 = 10 sin (400πt – 5πx), the frequency is 400/2 = 200 Hz.
Therefore, the beat frequency is |202 Hz - 200 Hz| = 2 Hz.
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