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it the two waves represented dy y(1)=4co...

it the two waves represented dy `y_(1)=4cos omegat` and `y_(2)=3 cos(omegat+pi//3)` interfere at a point, then the amplitude of the resulting wave will be about

A

7

B

5

C

6

D

`3.5`

Text Solution

Verified by Experts

The correct Answer is:
C
Given, `phi=pi/3`
`A=sqrt(A_(1)^(2)+A_(2)^(2)+2A_(1)A_(2)cosphi)`
`=sqrt(16+9+2(4)(3)cos 60^(@))approx sqrt(36)=6`
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DC PANDEY-WAVE OPTICS-Check point
  1. When interference of light takes place

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  2. If two waves represented by y(1)=4sinomegat and y(2)=3sin(omegat+(pi)/...

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  3. it the two waves represented dy y(1)=4cos omegat and y(2)=3 cos(omegat...

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  4. Two coherent sources of intensities I1 and I2 produce an interference ...

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  5. What is the path difference of destructive interference

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  6. If the amplitude ratio of two sources producing interference is 3 : 5,...

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  7. Two sources of sound of the same frequency produce sound intensities I...

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  8. Two incoherent sources of intensities l and 4l superpose then the resu...

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  9. For the sustained interference of light, the necessary condition is th...

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  10. Which of the following is not an essential condition for interference?

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  11. In Young's double slit experiment, an interference pattern is obtained...

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  12. In Young's double slit experiment, when two light waves form third min...

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  13. Two slits are separated by a distance of 0.5mm and illuminated with li...

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  14. Fringe width decrease with increase in

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  15. In a Young's double slit experiment, the fringe width will remain same...

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  16. Interference was observed in interference chamber when air was present...

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  17. Monochromatic green light of wavelength 5 xx 10^(-7) m illuminates a ...

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  18. In double slits experiment, for light of which colour the fringe width...

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  19. The Young's double slit experiment is performed with blue light and gr...

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  20. In Young's double slit experiment, green light (lambda=5461Å) is used ...

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