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The resultant amplitude of a vibrating p...

The resultant amplitude of a vibrating particle by the superposition of the two waves
`y_(1)=asin[omegat+(pi)/(3)]` and `y_(2)=asinomegat` is

A

`a`

B

`sqrt(2)a`

C

`2a`

D

`sqrt(3)a`

Text Solution

Verified by Experts

The correct Answer is:
D
`y_(1)=asin(omegat+(pi)/(3))` and `y_(2)=asinomegat`
`A=sqrt(a_(1)^(2)+a_(2)^(2)+2a_(1)a_(2)cosphi)` where `phi=(pi)/(3)`
`=sqrt(a^(2)+a^(2)+2aacos((pi)/(3)))=sqrt(3)a`
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ALLEN -WAVE OPTICS-Exercise 1 (Check your Grasp)
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  3. The resultant amplitude of a vibrating particle by the superposition o...

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  4. The energy in the phenomenon of interference-

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  5. The phase difference corresponding to path difference of x is

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  6. The resultant amplitude in interference with two coherent sources depe...

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  7. The Phenonmenon of interfernece is observed-

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  8. Two coherent sources must have the same

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

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  10. If the ratio of the intensity of two coherent sources is 4 then the vi...

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  11. Two monochromatic and coherent point sources of light are placed at a ...

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  12. If the distance between the first maxima and fifth minima of a double-...

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  13. In Young's slit experiment, if the distance between two slits is halve...

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  14. 92 fringes are obtained in the definite distance R on screen by Young'...

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  15. In Young's experiment one slit is covered with a blue filter and the o...

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  16. In Young's experiment if mica disc of thickness t and refractive index...

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  17. In Young's double slit experiment if monochromatic light is replaced b...

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  18. In the Young's double slit experiment the central maxima is observed t...

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  19. As shown in the right figure, a point light source is placed at distan...

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  20. If one of the two slits of Young's double-slit experiment is painted s...

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