Correct option: 1 - (a), 2 - (c), 3 - (d)
Explanation:
The equations are y1 = A cos (0.5 πx – 100 πt) and y2 = A cos (0.46 πx – 92 πt) represents two progressive wave travelling in the same direction with slight difference in the frequency. This will give the phenomenon of beats. Comparing it with the equation y = A cos (kx – πt), we get
Note : Wave velocity is same because it depends on the medium in which the wave is travelling.
Now, at x = 0
⇒ net amplitude is zero for n = 96 times