chap36 - 36.1: m. 10 5.06 m 2.00 m) 10 (7.50 m) 10 (1.35 7...

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Unformatted text preview: 36.1: m. 10 5.06 m 2.00 m) 10 (7.50 m) 10 (1.35 7 4 3 1 1--- = = = = x a y a x y 36.2: m. 10 3.21 m 10 10.2 m) 10 (5.46 m) (0.600 5 3 7 1 1--- = = = y x a a x y 36.3: The angle to the first dark fringe is simply: = arctan a = arctan . 0.15 m 10 0.24 m 10 633 3 9 = -- 36.4: m. 10 5.91 m 10 7.50 m) 10 (6.33 m) 2(3.50 2 2 3 4 7 1--- = = = = a x y D 36.5: The angle to the first minimum is = arcsin a = arcsin . 48.6 cm 12.00 cm 9.00 = So the distance from the central maximum to the first minimum is just = = tan 1 x y cm. 45.4 ) (48.6 tan cm) (40.0 = 36.6: a) According to Eq. 36.2 a a m a m 1 ) . 90 ( sin ) ( sin = = = = = Thus, mm. 10 5.80 nm 580 . 4- = = = a b) According to Eq. 36.7 [ ] [ ] . 128 . ) (sin ) (sin sin ) (sin ) (sin sin 2 4 4 2 = = = a a I I 36.7: The diffraction minima are located by . . . , 2 , 1 , sin = = m a m m 1.00 m; 0.2752 Hz) (1250 ) s m (344 = = = = a f v ; 6 . 55 , 3 ; 4 . 33 , 2 ; . 16 , 1 = = = = = = m m m no solution for larger m 36.8: a) ) sin( max t kx E E- = Hz 10 5.73 m 10 5.24 s m 10 3.0 m 10 5.24 m 10 20 . 1 2 2 2 14 7 8 7 1 7 = = = = = = = =--- c f c f k k b) sin = a m 10 1.09 28.6 sin m 10 5.24 sin 6 7-- = = = a c) . . ,. 3 , 2 , 1 ( sin = = m m a ) 74 2 2 sin 2 m 10 1.09 m 10 5.24 2 6 7 = = =-- D 36.9: a sin = locates the first minimum m 920 . ) 38 . 42 (sin m) 10 620 ( sin 38 . 42 and cm) (40.0 cm) 5 . 36 ( tan , tan 9 a x y x y = = = = = = =- 36.10: a) m. 10 4.17 m 10 3.00 m) 10 (5.00 m) (2.50 4 3 7 1 1--- = = = = y x a a x y b) cm. 4.2 m 10 4.17 m 10 3.00 m) 10 (5.00 m) (2.50 2 3 5 1 = = = =--- y x a c) m. 10 4.17 m 10 3.00 m) 10 (5.00 m) (2.50 7 3 10 1--- = = = y x a 36.11: a) m. 10 5.43 m 10 3.50 m) 10 (6.33 m) (3.00 3 4 7 1--- = = = a x y So the width of the brightest fringe is twice this distance to the first minimum, 0.0109 m. b) The next dark fringe is at m 0.0109 m 10 3.50 m) 10 6.33 ( m) 2(3.00 2 4 7 2 = = =-- a x y . So the width of the first bright fringe on the side of the central maximum is the distance from , y to 1 2 y which is m 10 43 . 5 3- . 36.12: . ) m 1520 ( m) (3.00 m) 10 20 . 6 ( m) 10 5 . 4 ( 2 2 sin 2 1 7 4 y y x y a a --- = = = a) . 760 ....
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chap36 - 36.1: m. 10 5.06 m 2.00 m) 10 (7.50 m) 10 (1.35 7...

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