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Statement I: Thin films such as soap bub...

Statement I: Thin films such as soap bubble or a thin layer of oit on watar show beautiful colors when illuminated by white light.
Statement II: It happens due to the interference of light reflected form the upper surface of thin film.

A

If both assertion and reason are true and the reason is the correct explanation of the assertion.

B

If both assertion and reason are true but reason is not the correct explanation of the assertion.

C

If assertion is true but reason is false.

D

If the assertion and reason both are false.

Text Solution

Verified by Experts

The correct Answer is:
C
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Why does a soap buuble show beautiful colours, when illuminated by white light ?

Assertion (A) : Thin films such as soap bubble or a thin layer of oil on water show beautiful colours when illuminated by white light. Reason (R ): The colours are obtained by dispersion of light

The colours seen in the reflected white light from a thin oil film are due to

Statement -1: If an exceedingly thin soap film is seen in reflected light, it may appear dark Statement -2 : Three is a phase difference of pi from the rays reflected from front and rear faces 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. 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?

Interference of light, Thin film interference and Introduction to YDSE

Assertion (A) : The soap film in sun light is colourful Reason (R ) : Thin films produce interference of light

This question has a paragraph followed by two statements, Statement - 1 and Statement - 2. Of the given four alternatives after the statements, choose the one that describes the statements. A thin air film is formed by putting the convex surface of a plane-convex lens over a plane glass plate. With monochromatic light, this film gives an interference pattern due to light reflected from the top (convex) surface and the bottom (glass plate) surface of the film. Statement - 1: When light reflects from the air-glass plate interface, the reflected wave suffers a phase change of pi . Statement - 2 : The centre of the interference pattern is dark.

ERRORLESS -WAVE OPTICS-SET
  1. Statement I: Thin films such as soap bubble or a thin layer of oit on ...

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  2. Following figures shows sources S1 and S2 that emits light of waveleng...

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  3. In a Young's double slit experimental arrangement shown here, if a mic...

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  4. In the set up shown in figure, the two slits S1 and S2 are not equidis...

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  5. The intensity ratio of two coherent sources of light is p. They are i...

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  6. Three waves of equal frequency having amplitudes 10mum, 4mum, 7mum arr...

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  7. Four different independent waves are represented by (i) y(1) = a(1) ...

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  8. A beam of light consisting of two wavelength 650nm and 520nm is used t...

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  9. Two identical radiators have a separation of d=lambda//4 where lambda ...

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  10. In Young’s double slit experiment, the 8 th maximum with wavelength la...

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  11. Light of wavelength 500nm is used to form interference pattern in Youn...

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  12. Two coherent sources of equal intensity produce maximum intensity of 1...

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  13. The path difference between two interfering waves of equal intensities...

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  14. In a Young's double slit experiment, I0 is the intensity at the centra...

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  15. In a Fresnel’s diffraction arrangement, the screen is at a distance of...

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  16. If n represents the order of a half period zone, the area of this zone...

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  17. A screen is placed 50 cm from a single slit, which is illuminated with...

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  18. In Young's double slit experiment, the fringes are displaced index 1.5...

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  19. Two waves of equal amplitude and frequency interfere each other. The r...

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  20. In Young's double-slit experiment , we get 60 fringes in the field of ...

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  21. A parallel- plate capacitor with plate area A and separation between t...

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