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Two mechanical waves, y(1) = 2 sin 2 pi ...

Two mechanical waves, `y_(1) = 2 sin 2 pi (5- t - 2x)` & `y_(2) = 4 sin 2 pi(fax + 100 t)` propagate in a medium with same speed.

A

The ratio of their intensities is `1 : 16`

B

The ratio of their intensities is `1 : 4`

C

The value of 'a' is `4` units

D

The value of 'a' is `2` units.

Text Solution

Verified by Experts

The correct Answer is:
A, C
`I=(1)/(2)rho v omega^(2)A^(2)` and velocity `=(omega)/(k)`.
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Knowledge Check

  • Two sound waves are represented by y_(1) = 10 sin 2pi (50 t- 0.5x), y_(2) = 30 sin 2pi (60t - 0.8x) The ratio of their intensities ((I_(1))/(I_(2))) is

    A
    `1 : 3`
    B
    `1 : 4`
    C
    `1 : 9`
    D
    `3 : 1`

  • Beats are produced when two sound waves given by y_(1) = A sin 200 pi t and y_(2) = A sin 210 pi t are sounded together. How many beats are produced/sec?

    A
    3
    B
    4
    C
    5
    D
    6

  • Two waves are passing through a region in the same direction at the same time . If the equation of these waves are y_(1) = a sin ( 2pi)/(lambda)( v t - x) and y_(2) = b sin ( 2pi)/( lambda) [( vt - x) + x_(0) ] then the amplitude of the resulting wave for x_(0) = (lambda//2) is

    A
    `| a - b|`
    B
    ` a + b`
    C
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    D
    `sqrt( a^(2) + b^(2) + 2 ab cos x)`

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