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How will the interference pattern in Young's double slit experiment get affected, when(i) distance between the slits `S_1 and S_2` reduced and (ii) the entire set up is immersed in water? Justify your answer in each
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The figure shows a double slit experimental set up for observing interference fringes due to different interference component colours of white light. What would be the predominant colour of the fringes observed at the point.(i) O (the central point) (ii) P, where, `S_2P - S_1P =(lambda_b)/2` ? (here, `lambda_b` is the wavelength of the blue
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(a) Two monochromatic waves emanating from two coherent sources have the displacements represented by `Y_1 = a cosomegat` and `Y_2 = a cos(omegat+phi)`, where `(phi)` is the phase difference between the two waves. Show that the resultant intensity at a point due to their superposition is given by `I =4I_0cos^2 phi//2`, where `I_0 = a^2`. (b) Hence, obtain the conditions for constructive and destructive
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Describe Young's double slit experiment to produce interference pattern due to a monochromatic source of light. Deduce the expression for the fringe
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The intensity at the central maxima `(O)` in a Young's double slit experiment is `I_0` . If the distance OP equals one-third of fringe width of the pattern, then show that the intensity at point P would be `I_0
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In Young's double slit experiment, the two slits 0.15 mm apart are illuminated by monochromatic light of wavelength 450 nm. The screen is 1.0 m away from the slits. (i) Find the distance of the second (a) bright fringe(b) dark fringe from the central maximum. (ii) How will the fringe pattern change if the screen is moved away from the
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A beam of light consisting of two wavelengths 560 nm and 420 nm is used to obtain interference fringes in a Young's double slit experiment. Find the least distance from the central maximum, where the bright fringes, due to both the wavelengths coincide. The distance between the two slits is 4.0 mm and the screen is at a distance of 1.0 m from the
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In Young's double slit experiment, monochromatic light of wavelength 630 nm illuminates the pair of slits and produces an interference pattern in which two consecutive bright fringes are separated by 8.1 mm . Another source of monochromatic light produces the interference pattern in which the two consecutive bright fringes are separated by 7.2 mm. Find the wavelength of light from the second source. What is the effect on the interference fringes, is when monochromatic source is replaced by a source of white
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In Young's double slit experiment, monochromatic light of wavelength 600 nm illuminates the pair of slits and produces an interference pattern in which two consecutive bright fringes are separated by 10 mm. Another source of monochromatic light produces the interference pattern in which the two consecutive bright fringes are separated by 8 mm. Find the wavelength of light from the second source. What is the effect on the interference fringes if the monochromatic source is replaced by a source of white
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(i) Consider two coherent sources `S_1 and S_2` producing monochromatic waves to produce interference pattern. Let, the displacement of the wave produced by `S_1` be given by `Y_1 = acosomegat` and the displacement by `S_2` be `Y_2 = acos(omegat +phi)` Find out the expression for the amplitude of the resultant displacement at a point and show that the intensity at that point will be `I = 4a^2 cos^2phi/2` Hence, establish the conditions for constructive and destructive interference.(ii) What is the effect on the interference fringes in Young's double slit experiment when (i) the width of the source slit is increased;
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(i) In Young's double slit experiment, describe briefly how bright and dark fringes are obtained on the screen kept in front of a double slit. Hence, obtain the expression for the fringe width. (ii) The ratio of the intensities at minima to the maxima in the Young's double slit experiment is 9:25.Find the ratio of the widths of the two
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(i) (a) 'Two independent monochromatic sources of light cannot produce `a` sustained interference pattern'. Give reason.(b) Light waves each of amplitude a and frequency `omega` emanating from two coherent light sources superpose at a point. If the displacements due to these waves is given by `Y_1 = acosomegat and Y_2 = acos(omegat+phi)` where `(phi)` is the phase difference between the two, obtain the expression for the resultant intensity at the point. (ii) In Young's double slit experiment using monochromatic light of wavelength `lambda`, the intensity of light at a point on the screen where path difference is `lambda`, is K
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(i) In Young's double slit experiment, derive the condition for (a) constructive interference and (b) destructive interference at a point on the screen. (ii) A beam of light consisting of two wavelengths, 800 nm and 600 nm is used to obtain the interference fringes on a screen placed 1.4 m away in a Young's double slit experiment. If the two slits are separated by 0.28 mm, calculate the least distance from the central bright maximum where the bright fringes of the two wavelengths
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(i) What is the effect on the interference fringes to a Young's double slit experiment when (a) the separation between the two slits is decreased? (b) the width of the source slit is increased? (c) the monochromatic source is replaced by a source of white light? Justify your answer in each case.(ii) The intensity at the central maxima in Young's double slit experimental set up is `I_0`. Show that the intensity at a point where the path difference is `lambda//3` , is
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State the importance of coherent sources in the phenomenon of interference. In Young's double slit experiment to produce interference pattern, obtain the conditions for constructive and destructive interference. Hence, deduce the expression for the fringe width. How does the fringe width get affected, if the entire experimental apparatus of YDSE is immersed in
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(i) What are coherent sources? Why are they necessary for observing a sustained interference pattern? How are the two coherent sources obtained in the Young's double slit experiment? (ii) Show that the superposition of the waves originating from the two coherent sources, `S_1 and S_2` having displacement, `Y_1 = a cosomegat and Y_2 = a cos(omegat+phi)` at a point produce a resultant intensity, `I = 4a^2 cos^2 phi//2` Hence, write the conditions for the appearance of dark and bright
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In a Young's double slit experiment, (i) deduce the conditions for constructive and destructive interference. Hence, write the expression for the distance between two consecutive bright or dark fringe. (ii) what change in the interference pattern do you observe, if the two slits, `S_1 and S_2` are taken as point sources? (iii) plot a graph of the intensity distribution versus path difference in this experiment. Compare this with the intensity distribution of fringes due to diffraction at a single slit. What important difference do you
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Which of the following waves can be polarised (i) Heat waves (ii) Sound waves? Give reason to support your
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How does the angular separation between fringes in single slit diffraction experiment change when the distance of separation between the slit and screen is
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How does the fringe width in ' Young's double slit experiment, change when the distance of separation between the slits and screen is
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