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The equation y=4+2 sin (6t-3x) represent...

The equation `y=4+2 sin (6t-3x)` represents a wave motion. Then, wave speed and amplitude, respectively are

A

wave speed 1 unit, amplitude 6 unit

B

wave speed 2 unit, amplitude 2 unit

C

wave speed 4 unit, amplitude `1//2` unit

D

wave speed `1//2` unit, amplitude 5 unit

Text Solution

Verified by Experts

The correct Answer is:
B
The shape of the wave is shown is the figure.

From this graph we see that amplitude of wave is 2 unit.
Wave speed `v=("Coefficient of t")/("Coefficient of x")=6/2=2` unit
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-WAVE MOTION-Exercise 1
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  4. Velocity of sound wave in air is 330 m/s for a particular sound in air...

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  5. Of the following, the equation of progressive wave is

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  6. The equation of a wave travelling on a string is d

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  8. A plane prohressive wave is given by y=2 cos 6.284 (330t-X). What is p...

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  9. A wave is represented by the equation y=0.5 sin (10 t-x)m. It is a tra...

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  10. A wave travelling along positive x -axis is given by y = A sin (omega ...

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  11. A transverse wave is derscried by the equation y=y(0) sin 2 pi (ft - (...

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  12. Two waves are represented by the equations y(1)=asin(omegat+kx+0.57)...

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  13. Two sound waves travel in the same direction in a medium. The amplitud...

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  14. Two waves of equal amplitude A, and equal frequency travel in the same...

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  15. The resultant wave when two given waves interfere is best represented ...

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  16. Sound waves are passing through two routes-one in straight path and th...

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  17. The path difference between the two waves y(1)=a(1) sin(omega t-(2pi...

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

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