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When light wave suffers reflection at th...

When light wave suffers reflection at the interface from air to glass, the change in phase of the reflected wave is equal to

A

zero

B

`(pi)/(2)`

C

`pi`

D

`2pi`

Text Solution

Verified by Experts

The correct Answer is:
C
From a rarer to denser medium, a phase difference of `pi` occurs.
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Change Of Phase Due To Reflection

Thin films, including soap bubbles and oil slicks, show patterns of alternating dark and bright regions resulting from interference among the reflected light waves. If two waves are in phase their crest and troughs will coincide. The interference will be constructive and the aplitude of the resultant wave will be greater than the amplitude of either constituent wave. if the two waves are out of phase, the crests of one wave will coincide with the troughs of the other wave. The interference will be destructive and the amplitude of the resultant wave will be less than that of either constituent wave. at the interface between two transparent media some light is reflected and some light is refracted. * When incident light, reaches the surface at point a, some of the light is reflected as ray R_(a) and and some is refracted following the path ab to the back of the film. *At point b some of the light is refracted out of the film and part is reflected back refracted out of the fiml as ray R_(c) . R_(a) and R_(c) are parallel. However, R_(c) has travelled the extra distance within the film of abc. if the angle of incidence is small then abc is approximately twice the film's thickness. if R_(a) and R_(c) are in phase they will undergo constructive interference and the region ac will be bright if R_(a) and R_(c) are out of phase, they will undergo destructive interference. * Refraction at an interface never changes the phase of the wave. * For reflection at the interface between two media 1 and 2, if n_(1)ltn_(2) the reflected wave will change phase by pi . if n_(1)gtn_(2) the reflected wave will not undergo a phase change. for reference n_(air)=1.00 * if the waves are in phase after refection at all interfaces, then the effects of path length in the film are Constructive interference occur when (n= refractive index) 2t=mlamda//n" "m=0,1,2,3... .. Destructive interference occurs when 2t=(m+1//2)lamda//n" "m=0,1,2,3... Q. A 600 nm light is perpendicularly incident on a soap film suspended in air. The film is 1.00 mum thick with n=1.35. Which statement most accurately describes the interference of the light reflected by the two surfaces of the film?

Thin films, including soap bubbles and oil slicks, show patterns of alternating dark and bright regions resulting from interference among the reflected light waves. If two waves are in phase their crest and troughs will coincide. The interference will be constructive and the aplitude of the resultant wave will be greater than the amplitude of either constituent wave. if the two waves are out of phase, the crests of one wave will coincide with the troughs of the other wave. The interference will be destructive and the amplitude of the resultant wave will be less than that of either constituent wave. at the interface between two transparent media some light is reflected and some light is refracted. * When incident light, reaches the surface at point a, some of the light is reflected as ray R_(a) and and some is refracted following the path ab to the back of the film. *At point b some of the light is refracted out of the film and part is reflected back refracted out of the fiml as ray R_(c) . R_(a) and R_(c) are parallel. However, R_(c) has travelled the extra distance within the film of abc. if the angle of incidence is small then abc is approximately twice the film's thickness. if R_(a) and R_(c) are in phase they will undergo constructive interference and the region ac will be bright if R_(a) and R_(c) are out of phase, they will undergo destructive interference. * Refraction at an interface never changes the phase of the wave. * For reflection at the interface between two media 1 and 2, if n_(1)ltn_(2) the reflected wave will change phase by pi . if n_(1)gtn_(2) the reflected wave will not undergo a phase change. for reference n_(air)=1.00 * if the waves are in phase after refection at all interfaces, then the effects of path length in the film are Constructive interference occur when (n= refractive index) 2t=mlamda//n" "m=0,1,2,3... .. Destructive interference occurs when 2t=(m+1//2)lamda//n" "m=0,1,2,3... Q. The average human eye sees colors with wavelengths between 430 nm to 680 nm. For what visible wavelength will a 350 nm thick n=1.35 soap film produce maximum destructive interference?

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-RAY OPTICS-EXERCISE 2 (MISCELLANEOUS PROBLEMS)
  1. When light wave suffers reflection at the interface from air to glass,...

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  2. Two identical glass (mu(g)=3//2) equi- convex lenses of focal length f...

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  3. An air bubble in a glass slab with refractive index 1.5 (near normal i...

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  4. A person can see clearly objects only when they lie between 50 cm and ...

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  5. A astronomical telescope has objective and eyepiece of focal lenghts 4...

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  6. Match the corresponding entries of Column I with Column II . [Where, m...

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  7. Calculate the focal length of a reading glass of a person, if the dist...

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  8. A person wants a real image of his own, 3 times enlarged. Where should...

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  9. The magnification power of a convex lens of focal length 10cm, when th...

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  10. The velocity of image object and mirror both are moving towards each o...

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  11. A plano convex lens fits exactly into a plano concave lens. Their plan...

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  12. For a normal eye, the cornea of eye provides a converging power of 40 ...

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  13. When an object is placed 40cm from a diverging lens, its virtual image...

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  14. A magnifying glass of focal length 5cm is used to view an object by a ...

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  15. A person has a minimum distance of distinct vision as 50cm. The power ...

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  16. A concave mirrorr of focal length f(1) is placed at a distance of d fr...

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  17. The image formed by a convex mirror of focal length 30 cm. is a quarte...

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  18. In a compound microscope, the focal length of the objective and the ey...

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  19. A thin convex lens of refractive index 1.5cm has 20cm focal length in ...

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