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Write the limitation of Huygen's princip...

Write the limitation of Huygen's principle.

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According to Huygen.s principle every particles of a wavefront behaves as an independent secondary source and emits by itself small secondary waves.
The amplitude of such secondary wavelets is maximum in the forward direction and zero in the backward direction
By making such adhoc assumption, Huygen.s could not explain why the wave was not propagating backwards. However, this adhoc assumption is not satisfactory.
Scientist such as Voigt and Kirchhoff explain such a limitation and state that the intensity of the secondary wave proportional to the term `1+cos^(2)((theta)/(2))` where `theta` made by wavefront to the direction of propagation.
In the direction of propagation `theta=0^(@)`, hence the intensity of light becomes `cos^(2)""(theta)/(2)=1+cos0^(@)=2` in backward direction `theta=pi`, hence intensity
`cos^(2)""(theta)/(2)=1+cos{2((theta)/(2))}=1+costheta=1+(-1)=0`
Hence, the intensity of light in backward direction of wave propagation is zero. So there is no propagation of wave backward.
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KUMAR PRAKASHAN-WAVE OPTICS-SECTION-A QUESTIONS-ANSWERS
  1. Write Huygen's principle and explain it.

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  2. Explain how to get a new wavefront in time t using Huygen's principle ...

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  3. Write the limitation of Huygen's principle.

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  4. Derive the laws of refraction from the concept (Huygen's principle) of...

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  5. Explain plane wave refraction from denser to rarer medium using Huygen...

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  6. Explain the reflection of a plane wave using Huygen's principle.

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  7. Explain refraction of plane wave with a thin prism.

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  8. Explain the refraction of a plane wavefront with a thin convex mirror.

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  9. Explain the reflection of plane wavefront from concave mirror.

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  10. Write the formula for Doppler shift for light."

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  11. Write principle of superposition and explain.

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  12. Explain the superposition principle for static electric forces and wri...

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  13. Write down the condition of constructive interference.

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  14. Obtain the formula of intensity if the phase difference at a point fro...

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  15. Explain the intensity of the point of superposition of the waves emana...

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  16. "If you illuminate two pinholes using two lamps, the interference patt...

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  17. Explain the Young's experiment, arrangement and experiment to produce ...

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  18. Obtain the formula of path difference at a point on the screen in Youn...

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  19. Write down the formula for distance between two consecutive bright fri...

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  20. Discuss the pattern of interference fringes obtained on the screen awa...

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