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The intensity of light pulse travelling in an optical fibre decrease according to the relation

I=I0e-αx
The intensity of light is reduced to 20% of its initial value after a distance x equal to

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Important Questions on Wave Optics

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Consider interference between two sources of intensities I and 4I. Obtain intensity at a point where the phase difference is π2.
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Two coherent sources, whose intensity ratio is 16:1 produce interference fringes. If the ratio of intensity of maxima and minima in the fringe system is 253α. Find value of  α.
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Consider interference between two sources of intensity I and 4I. Find the resultant intensity. where the phase difference is

(a) π4 (b) π  (c) 4π

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In Young's double-slit experiment, the slits are 2 mm apart and are illuminated with a mixture of two-wavelength, λ =7500 A and λ'=9000 A. At what minimum distance from the common central bright fringe on a screen 2 m from the slits will a bright fringe from one interference pattern coincide with a bright fringe from the other?
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In a Young's double slit experiment the angular width of fringe formed on a distant screen is 0.1 radian. Find the distance between the two slits if wavelength of light used is 6000 Ao.
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Two slits in Young's experiment are 0.02 cm apart. The interference fringes for the light of wavelength 6000 A are formed on a screen 80 cm away. Calculate the distance of the fifth bright fringe.
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In Young's double-slit experiment, two slits are separated by 3 mm distance and illuminated by light of wavelength 480 nm. The screen is at 2 m from the plane of the slits. Calculate the separation between the 8th bright fringe and the 3rd dark fringe observed with respect to the central bright fringe.
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In a two slits experiment with monochromatic light, fringes are obtained on a screen placed at some distance from the slits. If the screen is moved by 5×10-2 m towards the slits, the change in the fringe width is 3×10-5 m. If the distance between the slits is 10-3 m, calculate the wavelength of light used