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Two waves of equal amplitude A, and equa...

Two waves of equal amplitude A, and equal frequency travel in the same direction in a medium. The amplitude of the resultant wave is

A

0

B

A

C

2A

D

between 0 to 2A

Text Solution

Verified by Experts

The correct Answer is:
D
Two waves of equal amplitude A and equal frequency interfere such that amplitude of the resultant waves is
`A (phi) =2 A cos (phi/2)`
From cosine graph, it can be seen that the amplitude of the resultant wave is a function of `phi` and hence, its magnitude varies between 0 and 2A.
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-WAVE MOTION-Exercise 1
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  7. Four sound sources produce the following four waves (i) y(1)=a sin (...

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  9. Two waves y(1) =A(1) sin (omega t - beta (1)), y(2)=A(2) sin (omega...

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  10. Two waves having the intensities in the ratio of 9 : 1 produce interfe...

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  11. Two periodic waves of intensities I(1) and I(2) pass through a region ...

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  12. A point source emits sound equally in all directions in a non-absorbin...

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  13. Two waves represented by the following equations are travelling in the...

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  14. A particle is executing two different simple harmonic motions, mutuall...

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  15. The phenomena arising due to the superposition of waves is/are

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  16. Two sound waves of slightly different frequencies propagating in the s...

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  17. When two tuning forks A and B are sounded together, 4 beats per second...

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  18. A source frequency f gives t beats when sounded with a frequency 200Hz...

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  19. Ten tuning forks are arranged in increasing order of frequency is such...

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  20. Number of beats between A and B is 5 and between B and C are 3. Number...

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