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When two progressive waves y(1) = 4 sin ...

When two progressive waves `y_(1) = 4 sin (2x - 6t)` and `y_(2) = 3 sin (2x - 6t - (pi)/(2))` are superimposed, the amplitude of the resultant wave is

A

5

B

6

C

`5/3`

D

`1/2`

Text Solution

Verified by Experts

The correct Answer is:
A
Phase difference between the two waves is `90^(@)`. Amplitudes are added by vector method.

`a=sqrt(3^(2)+4^(2))=5`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-WAVE MOTION-Exercise 2
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  3. When two progressive waves y(1) = 4 sin (2x - 6t) and y(2) = 3 sin (2x...

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  4. Sound waves of v=60 Hz fall normally on a perfectly reflecting wall. T...

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  5. The equation of a wave on a string of linear mass density 0.04 kg m^(-...

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  6. The displacement y of a particle executing periodic motion is given by...

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  7. A progressive wave y = A sin (k x - omegat) is reflected by a rigid wa...

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  8. A fork of unknown frequency gives 4 beats per second when sounded with...

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  9. Beast are produced by frequencies v(1) and v(2) (v(1) gt v(2)). The du...

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  10. Two turning forks of frequencies n(1) and n(2) produces n beats per s...

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  11. A tuning fork of frequency 480 Hz produces 10 beats per second when so...

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  12. Two sitar strings A and B are slightly out of tune and produce beats o...

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  13. Two tunning forks A and B produce notes of frequencies 256 Hz & 262 Hz...

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  14. A source of sound gives five beats per second when sounded with anothe...

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  15. When two tuning forks (fork 1 and fork 2 ) are sounded simultaneously,...

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  16. Two sound sources emitting sound each of wavelength lambda are fixed a...

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  17. A source of sound of frequency 256 Hz is moving towards a wall with a ...

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  18. A bus is moving with a velocity of 5 ms^(-1) towards a huge wall. The ...

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  19. A sound wave of frequency f travels horizontally to the right. It is r...

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  20. The equation of a wave travelling on a string is y=8 sin [pi/2 (4t-x/1...

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