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Waves y(1) = Acos(0.5pix - 100pit) and y...

Waves `y_(1) = Acos(0.5pix - 100pit)` and `y_(2)=Acos(0.46pix - 92pit)` are travelling along x-axis. (Here `x` is in `m` and `t` is in second)
(1) Find the number of times intensity is maximum in time interval of `1 sec`.

A

4

B

6

C

8

D

10

Text Solution

Verified by Experts

The correct Answer is:
A
`y_1 = A cos (0.5 pi x - 100pit)`
`f_1 =(omega_1)/(2pi) = (100pi)/(2pi) = 50 Hz`
`y_2 = A cos(0.46 pix – 92pit)`
`f_2 =(omega_2)/(2pi)=(92pi)/(2pi)=46Hz`
Now, `(f_2 – f_1) = 4 Hz`.
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