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Using Huygens' principle, draw a diagram showing how a plane wave gets refracted, when it is incident on the surface separating a rarer medium from a denser medium. Hence, verify Snell's laws of
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(i) Using Huygens' construction of secondary wavelets explain how a diffraction pattern is obtained on a screen due to a narrow slit on which a monochromatic beam of light is incident normally.(ii) Show that the angular width of the irst diffraction fringe is half that of the central fringe.(iii) Explain why the maxima at `theta=(n+1/2)lambda/a` become weaker and weaker with increasing
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(i) AJse Huygens' geometrical construction to show how a plane wavefront at t = 0 .propagates and produces a wavefront at a later time.(ii) Verify, using Huygens' principle, Snell's law of refraction of a plane wave propagating from a denser to a rarer medium.(iii) When monochromatic light is incident on a surface separation two media, the reflected and refracted light both have the same frequency. Explain
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State Huygens' principle. Using this principle draw a diagram to show how a plane wavefront incident at the interface of the two media gets refracted when it propagates from a rarer to a denser medium. Hence, verify Snqll's law of
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(i) A plane wavefront approaches a plane surface separating two media. If medium 1 is optically denser and medium 2 is optically rarer, using Huygens' principle, explain and show how a refracted wavefront is ^constructed?(ii) Verify Snell's law.(iii) When a light wave travels from a rarer to a denser medium, the speed decreases. Does it imply reduction in its energy?
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Define the term 'coherent sources' which are required to produce interference pattern in Young's double slit
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How would the angular separation of interference fringes in Young's double slit experiment change when the distance between the slits and screen is
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Why are coherent sources required to create interference of
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Laser light of wavelength 630 nm incident on a pair of slits produces an interference pattern in which the bright fringes are separated by 7.2 mm. Calculate the wavelength of another source of laser light which produce interference fringes separated by 8.1 mm using same pair of
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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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