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1. Coherent light with wavelength 400nm passes through two very narrow slits that are separated by 0.200 mm and the interference pattern is observed on a screen 4.00 m from the slits.
(a) What is the width (in mm) of the central interference maximum?
(b) What is the width of the first-order bright fringe?
2. Coherent light that contains two wavelengths, 660nm (red) and 470 urn (blue), passes through two narrow slits separated by 0.300 mm, and the interference pattern is observed on a screen 5.00 m from the slits. What is the distance on the screen between the first-order bright fringes for the two wavelengths?
3. Coherent light from a sodium-vapor lamp is passed through a filter that blocks everything except light of a single wavelength. It then falls on two slits separated by 0.460 mm. In the resulting interference pattern on a screen 2.20 m away, adjacent bright fringes are separated by 2.82 mm. What is the wavelength?
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4. Coherent light of wavelength 501.5 nm is sent through two parallel slits in a large flat wall. Each slit is 0.700 /m wide. Their centers are 2.80 /m apart. The light then falls on a semi cylindrical screen, with its axis at the midline between the slits.
(a) Predict the direction of each interference maximum on the screen, as an angle away from the bisector of the line joining the slits.
(b) Describe the pattern of light on the screen, specifying the number of bright fringes and the location of each.
(c) Find the intensity of light on the screen at the center of each bright fringe, expressed as a fraction of the light intensity Imax at the center of the pattern.
5. Coherent light with wavelength 500nm passes through narrow slits separated by 0.340 mm. At a distance from the slits large compared to their separation, what is the phase difference (in radians) in the light from the two slits at an angle of 23.0° from the centerline?
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