Two wavelength of sodium light `590 nm and 596 nm` are used in turn to study the diffraction at a single slit of size `4 mm`. The distance between the slit and screen is `2 m`. Calculate the separation between the positions of first maximum of the diffraction pattern obtained in the two cases.
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Here, `lambda_(1) = 590nm = 590 xx 10^(-9)m` `lambda_(2) = 596 nm = 596 xx 10^(-9)m` `a = 4 mm = 4 xx 10^(-3) m, D = 2m` For first secoundary maxima `sin theta = (2n + 1)(lambda)/(2a)` `sin theta ~= theta = (x)/(D) = (3 lambda)/(2a)`, when `theta` is small `x = (3 lambda D)/(2a)` For two wavelengths, `x_(1) = (3 lambda_(1) D)/(2a), x_(2) =(3 lambda_(2) D)/(2a)` Separation between the positions of first secondary maxima `x_(2) - x_(1) = 3(lambda_(2) - lambda_(1))(D)/(2a)` `= (3(596 xx - 590) xx 10^(-9) xx 2)/(2 xx 4 xx 10^(-3))` `x_(2) - x_(1) = 4.5 xx 10^(-6) m`
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(a) Explain how the intensity of diffraction pattern changes as the order (n) of the diffraction band varies. (b) Two wavelengths of sodium light 590 nm and 596 nm are used in turn to study the diffraction at a single slit of size 4mm. The distance between the slit and screen is 2m. Calculate the separation between the positions of the first maximum of the diffraction pattern obtained in the two cases.
(a) Describe briefly how a diffraction pattern is obtained on a screen due to a single narrow slit illuminated by a monochromatic source of light. Hence obtain the condition for the angular width of secondary maxima and secondary minima. (b) Two wavelengths of sodium light of 590 nm and 596 nm are used in turn to study the diffraction taking place at a single slit of aperture 2xx10^(-6) m. The distance between the slit and the screen is 1.5 m. Calculate the separation between the positions of first maxima of the diffraction pattern obtained in the two cases.
Two wavelength of sodium light 590 nm and 596 nm are used, in turn, to study the diffraction taking placed at a single slit of aperture 2 xx 10^(-4)m . The distance between the slit and screen is 1.5 m . Calculate the separation between the positions of first maxima of diffraction pattern obtained in the two cases.
Two wavelengths of sodium light 590 nm and 596 nm are used, in turn, to study the diffraction taking place at a single slit of aperature 2 xx 10^(-4) m . The distance between the slit and the screen is 1.5 m. Calcualate the separation between the positions of first maximum of the diffractions patterns obtained in two cases.
(a) In what way is diffraction from each slit related to the interference pattern in a double slit experiment ? (b) Two wavelengths of sodium light 590 nm and 596 nm are used, in turn, to study the diffraction taking place at a single slit of aperture 2 xx 10^(-4)m. The distance between the slit and the screen is 1.5 m. Calculate the separation between the positions of the first maxima of the diffraction pattern obtained in the two cases.
(a) Write two characteristics features distinguishing the diffraction pattern from the interference fringes obtained in Young's double slit experiment. (b) Two wavelengths of sodium light 590 nm and 596 nm are used , in turn, to study the diffraction taking place due to a single slit of aperture 1xx10^(-4)m . The distance between the slit and the screen is 1.8m. Calculate the separation between the positions of the first maxima of the diffraction pattern obtained in the two cases.
