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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
Number of maxima in `1 s` is called the beat frequency.
Hence,
`f_(b) = f_(1) -f_(2)`
=`(100 pi)/(2 pi) -(92 pi)/(2 pi) = 4 Hz`.
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Knowledge Check

  • 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) (2) The wave velocity of louder sound is

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    (d) `96m//s`

  • 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) (3) The number of times y_(1) + y_(2) = 0 at x = 0 in 1sec is

    A
    (a) `100`
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    B
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    C
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