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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

asked Mar 20, 2022 in 12th Physics by varun (6.7k points)

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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

asked Mar 20, 2022 in 12th Physics by varun (6.7k points)

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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

asked Mar 20, 2022 in 12th Physics by varun (6.7k points)

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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

asked Mar 20, 2022 in 12th Physics by varun (6.7k points)

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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

asked Mar 20, 2022 in 12th Physics by varun (6.7k points)

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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

asked Mar 20, 2022 in 12th Physics by varun (6.7k points)

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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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State Huygens' principle of diffraction of

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If the angle between the axis of polariser and the analyser is 45°; write the ratio of the intensities of original light and the transmitted light after passing through the

asked Mar 20, 2022 in 12th Physics by varun (6.7k points)

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Unpolarised light is incident on a plane surface of glass of refractive index p at an angle i. If the reflected light gets totally polarised, write the relation between the angle i and refractive

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Unpolarised light of intensity `I` is passed through a polaroid. What is the intensity of the light transmitted by the

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Find an expression for intensity of transmitted light, when a polaroid sheet is rotated between two crossed polaroids. In which position of the Polaroid sheet will the transmitted intensity be

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For a single slit of width a, the first minimum of the interference pattern of `a `monochromatic light of wavelength `lambda`, occurs at an angle of `lambda//a`. At the same angle of `lambda//a`, we get a maximum for two narrow slits separated by a distance `a`.

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A parallel beam of light of wavelength 500 nm falls on a narrow slit and the resulting diffraction pattern is observed on a screen 1 m away. It is observed that the first minimum is at a distance of 2.5 mm from the centre of the screen. Calculate the width of the

asked Mar 20, 2022 in 12th Physics by varun (6.7k points)

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Yellow light `(lambda, = 6000 A^o)` illuminates a single slit of width `1xx10^(-4)m`. Calculate the distance between two dark lines on either side to the central maximum, when the diffraction pattern is viewed on a screen kept 1.5 m away from the

asked Mar 20, 2022 in 12th Physics by varun (6.7k points)

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State briefly two features which can distinguish the characteristic features of an interference pattern from those observed in the diffraction pattern due to a single

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In a single slit diffraction experiment, a monochromatic source of light of wavelength `lambda` illuminates a narrow slit of width `a.` Show giving appropriate reasoning, that the half angular width of the central maximum in the observed pattern is (nearly) equal to

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State clearly how an unpolarised light get linearly polarised, when passed through a polaroid. (i) Unpolarised light of intensity `I_0` is incident on a polaroid `P_1` which is kept near polaroid `P_2` whose pass axis is parallel to that of `P_1`. How will the intensities of light, `I_1 and I_2` transmitted by the polaroids `P_1 and P_2` respectively, change on rotating `P_1` without disturbing `P_2` ? (ii) Write the relation between the intensities `I_1 and

asked Mar 20, 2022 in 12th Physics by varun (6.7k points)

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