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1461
Light of wavelength 6328 Å is incident normally on a slit having a width of 0.2 mm. The width of the central maximum, measured from minimum to minimum of the diffraction pattern on a screen 9.0 metres away will be about
A. 0.722 degrees
B. 0.09 degrees
C. 0.18 degrees
D. 0.36 degrees
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Correct Option
Explanation
Central angular width ≈ 2λ/a = 2×6328Å / 0.2 mm ≈ 0.00633 rad ≈ 0.363°, matching option A.
1462
Which is the most essential conditions for producing interference?
A. Waves emitted by the two sources should either have the same phase or a constant difference in phase
B. The two sources must be very close to each other
C. The two sources be very narrow
D. All of the above
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Explanation
Interference requires coherence, i.e., a constant phase relationship between sources; proximity or width are not essential alone.
1463
The two sources are said to be coherent if they have same:
A. Intensity
B. Colour
C. Phase
D. None of these
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Explanation
Coherent sources maintain a constant phase relationship, which is necessary for stable interference patterns.
1464
The bending of light when it passes from one medium to another is known as:
A. Refraction
B. Interference
C. Polarization
D. Both B and C
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Explanation
The standard definition of refraction is the bending of light at the interface between two media with different optical densities.
1465
In Young's double slit experiment, the band width of fringe is independent of:
A. distance of the screen from the sources.
B. order of the fringe.
C. distance between the coherent sources.
D. wavelength of light emitted by the sources.
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Explanation
Fringe width β = λD/d is independent of the fringe order; it depends on wavelength, screen distance and slit separation but not on which order is considered.
1466
In Young's double slit experiment, blue light (4380 Å) and green light (5460 Å) are used. If X is the distance of the 4th maxima from the central one, then:
A. X(blue) < X(green).
B. X(blue) = X(green).
C. X(blue) > X(green).
D. X(green) = 4360.
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Explanation
Fringe position y ∝ λ, so the smaller-wavelength blue light gives a smaller fringe displacement than green light, hence X(blue) < X(green).
1467
When crest and trough of one wave falls respectively over the crest and trough of other wave, then it is type of:
A. Any of them
B. None of them
C. Constructive interference
D. Destructive interference
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Explanation
Crest over crest and trough over trough reinforces amplitudes, which is constructive interference.
1468
Two sound waves of relative intensities 400 : 1 show interference. The ratio of intensity at maxima to minima is close to
A. ||399
B. 21/19
C. 401/399
D. 11/9
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Correct Option
Explanation
With intensity ratio 400:1, amplitude ratio is 20:1; Imax/Imin = (20+1)^2/(20-1)^2 = 21^2/19^2, so approximately 21/19, option C.
1469
In Young's interference experiment with one source and two slits, one slit is covered with a cellophane sheet so that half the intensity is absorbed. Then
A. all fringes will be darker
B. bright fringes will be brighter and dark fringes will be darker
C. bright fringes will be less bright and dark fringes will be less dark.
D. no fringe is obtained.
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Explanation
Reducing intensity of one slit decreases fringe contrast: maxima become less bright and minima become less dark, but fringes persist.
1470
In an interference experiment the ratio of intensities of bright and dark fringes is 4 : 1. Then the ratio of amplitudes will be
A. 1 : 3
B. 1 : 1
C. 3 : 1
D. 1 : 9
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Explanation
Imax/Imin = ((A1+A2)/(A1−A2))^2 = 4 gives (A1/A2) = 3, so amplitude ratio is 3:1.