solutions_chapter26

L 5 l n 2 y 1 y m 5 r m l a l a 2 y 1 5 5.90 mm y 1 5

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Unformatted text preview: l 5 l n . 2 y 1 . y m 5 R m l a l / a 2 y 1 5 5.90 mm. y 1 5 l R a 5 1 633 3 10 2 9 m 21 3.50 m 2 0.750 3 10 2 3 m 5 2.95 3 10 2 3 m 5 2.95 mm. 2 y 1 . y m 5 R m l a l / a u 5 12.5°. sin u 5 800 km 3700 km u 5 10.2°. sin u 5 800 km 4500 km l 5 v f 5 800 km / h 1.0 h 2 1 5 800 km. f 5 1 T 5 1 1.0 h 5 1.0 h 2 1 . l 5 v f . f 5 1 T sin u 5 l a . l 5 y 1 a R 5 1 1.35 3 10 2 3 m 21 0.750 3 10 2 3 m 2 2.00 m 5 506 nm y 1 5 1.35 mm. y m 5 R m l a y m R a 5 l R y 1 5 1 600 3 10 2 9 m 21 3.00 m 2 2.25 3 10 2 3 m 5 8.00 3 10 2 4 m 5 0.800 mm y 1 5 l R a . y 1 5 2.25 mm. 2 y 1 5 4.50 mm y 1 y m 5 R m l a y m R Interference and Diffraction 26-7 Solve: Each dark fringe is a distance from the center of the screen. and Reflect: Since the path difference occurs in the liquid it must be compared to the wavelength in the liquid. 26.34. Set Up: For a grating the bright fringes are located by The spots at correspond to means is the spacing of adjacent lines of the grating. Solve: (a) (b) The next angle is for and 26.35. Set Up: The bright fringes are located at angles given by The separation d between adjacent slits in the grating is Solve: First-order Second-order Third-order 26.36. Set Up: The line density in is with d in cm. The bright spots are located by Solve: (a) (b) For For 26.37. Set Up: The bright spots are located by The second pair correspond to Solve: (a) and (b) The next bright spots are for and Reflect: and is not small. The approximation is not accurate. 26.38. Set Up: The bright fringes are located at angles of deviation given by The separation d between adjacent slits in the grating is d 5 1.00 3 10 2 2 m 6000 5 1.67 3 10 2 6 m. sin u 5 m l d . sin u < tan u l d 5 471 3 10 2 9 m 1.79 3 10 2 6 m 5 0.263 y 5 R tan u 5 1 42.5 cm 21 tan 52.13° 2 5 54.7 cm. u 5 52.13°. sin u 5 m l d 5 3 1 471 3 10 2 9 m 2 1.79 3 10 2 6 m m 5 6 3. l 5 d sin u m 5 1 1.79 3 10 2 6 m 21 sin 31.75° 2 2 5 471 nm u 5 31.75°. tan u 5 y R 5 26.3 cm 42.5 cm 5 0.6188 y 5 R tan u . d 5 1 5580 lines / cm 5 1.79 3 10 2 4 cm 5 1.79 3 10 2 6 m. m 5 6 2. 6 2, c . 6 1, m 5 0, d sin u 5 m l , u 5 6 66.5°. m 5 6 3, u 5 6 37.7°. m 5 6 2, sin u 5 m l d 5 m 1 632.8 3 10 2 9 m 2.07 3 10 2 6 m 2 5 m 1 0.3057 2 . 1 d 5 4830 lines / cm. d 5 m l sin u 5 1 1 21 632.8 3 10 2 9 m 2 sin 17.8° 5 2.07 3 10 2 6 m 5 2.07 3 10 2 4 cm. 6 2, c . 6 1, m 5 0, d sin u 5 m l , 1 / d , lines / cm u 5 46.1°. 1 m 5 3 2 : 28.7°. u 5 1 m 5 2 2 : u 5 13.9°. 1 m 5 1 2 : sin u 5 m 1 600.0 3 10 2 9 m 2.50 3 10 2 6 m 2 5 m 1 0.240 2 . d 5 1.00 3 10 2 3 m 400.0 5 2.50 3 10 2 6 m. sin u 5 m l d . u u 5 6 32.1°. sin u 5 m l d 5 6 2 1 481 3 10 2 9 m 1.81 3 10 2 6 m 2 5 6 0.531 m 5 6 2. l 5 d sin u m 5 1 1.81 3 10 2 6 m 2 sin 15.4° 1 5 481 nm....
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l 5 l n 2 y 1 y m 5 R m l a l a 2 y 1 5 5.90 mm y 1 5 l R a...

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