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Assertion (A) : No interfrence pattern i...

Assertion (A) : No interfrence pattern is detected when two coherent sources are very closer to each other. (i.e separation almost zero)
Reason (R ) : The fringe width is inversely proportional to the distance between the two slits

A

Statement-1 is true, statement-2 is true: Statement-2 is a correct explanation for statement-1

B

Statement-2 is true, statement-2 is true: statement-2 is not a correct explanation for statement-1

C

Statement-1 is true, Statement-2 is false.

D

Statement-1 is false, Statement-2 is true.

Text Solution

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The correct Answer is:
A
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The angular width of the central maximum in a single slit diffraction pattern is 60^(@) . The width of the slit is 1 mu m The slit is illuminated by monochromatic plane waves. If another slit of same width is made near it. Young's fringes can be observed on a screen placed at a distance 50 cm from the slits. If the observed fringe width is 1 cm, what is slit separation distance ? (i.e. distance between the centres of each slit)

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In an interference arrangement similar to young's double slit experiment the slits S_(1) and S_(2) are illuminated with coherent microwave sources each of frequency 10^(6)Hz the sources are synchronized to have zero phase difference. the slits are separated by a distance d=150.0m. The intensity I(theta) is measured as a funtion of theta , where theta is defined as shown. if I_(0) is the maximum intensity then I(theta) for 0lethetale90^(@) is given by:

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?

ALLEN -WAVE OPTICS-Exercise 3 (Miscellaneous type Questions)
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  2. Statement-1: As light travels from one medium to another, thhe frequen...

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  3. Assertion (A) : No interfrence pattern is detected when two coherent s...

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  4. The lens governing the behavior of the rays namely rectilinear propaga...

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  5. The lens governing the behavior of the rays namely rectilinear propaga...

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  6. The lens governing the behavior of the rays namely rectilinear propaga...

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  7. Huygen was the figure scientist who proposed the idea of wave theory o...

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  8. Huygen was the figure scientist who proposed the idea of wave theory o...

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  9. Huygen was the figure scientist who proposed the idea of wave theory o...

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  10. Huygen was the figure scientist who proposed the idea of wave theory o...

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  11. Huygen was the figure scientist who proposed the idea of wave theory o...

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  12. Huygen was the figure scientist who proposed the idea of wave theory o...

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  13. The figure shows the interfernece pattern obtained in double slit expe...

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  14. The figure shows the interfernece pattern obtained in double slit expe...

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  15. The figure shows the interfernece pattern obtained in double slit expe...

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  16. The figure shows a schematic diagram showing the arrangements of Youn...

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  17. The figure shown a schematic diagram showing the arrangement of young'...

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  18. The figure shown a schematic diagram showing the arrangement of young'...

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  19. Thin films, including soap bubbles and oil show patterns of alternativ...

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  20. Thin films, including soap bubbles and oil show patterns of alternativ...

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