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Two simple harmonic progressive waves is...

Two simple harmonic progressive waves is represented by
`y_1=0.01 sin 2pi ((t)/(0.01)-(x)/(0.4))` and
`y_2=0.01 sin 2pi ((t)/(0.01)+(x)/(0.4))` ,
where all quantities are expressed in SI units. The waves combine to form a stationary wave, the equation of the stationary wave is

A

`y=0.02cos(2pix)/(0.4)sin(2pit)/(0.01)`

B

`y=0.02cos(2pix)/(0.4)cos((2pit)/(0.01)+pi/2)`

C

`y=0.02sin((2pix)/(0.4)+pi/2)sin(2pit)/(0.01)`

D

All of the above

Text Solution

Verified by Experts

The correct Answer is:
D
`y=2Acoskx.sin omegat`
`y=2xx0.01cos(2pix)/(0.4)xxsin(2pi)/(0.01)t`
OR
`y=0.02sin((2pix)/(0.4)x+pi/2)sin(2pi)/(0.01)t`
OR
`y=0.02sin ((2pix)/(0.4))+cos((2pi)/(0.01)+pi/2)`
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