2. 13
F FF F
13.1
F F
F F 1 F (s0) F F F 2 F (s1 , s2) F F F( F
f ) ( F ) F ( )
(N3)
F (A2)
(N2)
s1 F (A1)
(N1)
s0 F (A0)
(N1)
s2 F (A1)
(N2)
F (A2)
(N3)
F F
F F F F F2 F
F F F F F
F F F F
F F F F
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3. s2 P F
Q
d O F
s1
L
F F ( )
F
F
P F
Q x
s2
d θ θ
O F
s1
d sin θ
L
d= F F
L= F F
x= F F F F
F F F F s1 , s2 F F ( A)
( N)
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4. F (A0 , A1 , A2 , , An)
| s1P s2P | = n n = 0, 1, 2,
d sin θ = n L >> d θ F
d = n sin θ tan θ
( N1 , N2 , N3 , , Nn)
| s1Q s2Q | = (n - ) n = 1, 2, 3,
d sin θ = (n - ) L >> d θ F
d = (n - ) sin θ tan θ
F 1
F F F 400 F 600 F
F 1.0 F 2 F F F F
F
x=?
s2
d = 400 m θ θ F (A0)
s1
= 600 nm d sin θ
L = 1.0
x F
F
d sin θ = n
d = n θ F
F n=2 F x = n
= 2 (600x10-9)
x = 3x10-3 m Ans
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5. x
F F
d sin θ = (n - )
d = (n - ) θ F
F n=2 F x = (n - )
= (2-1/2) (600x10-9)
x = 2.25x10-3 m Ans
F 2 ( N2 ) F F F F F 2 (A2)
F 2
F F F F F 500 F F 50
F F F F F 0.40 F
F
F 2 (A2) n = 2
F 1 (A1) n = 1
s2 x2
x1
d = 500 m F (A0)
s1
=?
L = 0.50
F 2 F F F F F
F F θ F F F F
F 1 2 F n=1 n=2
F
d = n θ F
F n=1 F x1 = (1)
F n=2 F x2 = (2)
F F x2 x1 = 0.4x10-3 m
(2) - (1) = 0.4x10-3
= 0.4x10-3
= 0.4x10-3
= 400x10-9 m = 400 nm Ans
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6. F FF θ F F F F F F
F F F F F F FF
F F F F F
F
F 2 (A2)
2 (N2)
F 1 (A1)
s2 1 (N1)
d F (A0)
s1
L
= F F F
d =
F F
d = = F F F
F 3
F F 400 F
F 2 F F 0.20 F F 600
F F F 2 F
F F F F 2
d =
d L ∆ x
F =
F F =
∆x2 = 0.3 mm Ans
F F www.schoolDD.com 5
7. 13.2
F F F F
F F F F F F
F
F (A0)
F
F
F F
F F F
F F F F F
F F F F F
F - F ( )
P F
Q
x
a O F
θ θ
L
a= F
L= F F
x= F F F F
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8. F F
(N1 , N2 , N3 , , Nn)
n = 1, 2, 3,
a sin θ = n L >> a θ F
a = n sin θ tan θ
F ( A0 , A1 , A2 , , An)
n = 0, 1, 2,
a sin θ = (n + ) L >> a θ F
a = (n + ) sin θ tan θ
F 4
600 F 100 F
1.0 F F F
1 (N1)
x
a = 100 m F (A0)
= 600 nm 1 (N1)
L = 1.0
F 1 F F F F FF
F
F F F F 2x
F
a = n
n=1 F x= n
= (1)(600x10-9)
x = 6x10-3 m
2x = 2x6x10-3 = 12x10-3 m Ans
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9. F 5
500 F 3
30˚ F F F F
3 (N3)
3
a=? F (A0)
= 500 nm
F
a sin θ = n
n=3 F a=
=
a = 3x10-6 = 3.0 m Ans
13.3
F F F F F
F F (1,000 10,000 F /1 .) F F F F
F F F F F F F
F F ( )
P F
Q x
d θ
O F
L
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10. d= F F
L= F F
x= F F F F
F F
F (A0 , A1 , A2 , , An)
d sin θ = n n = 0, 1, 2,
d = n L >> d θ F
sin θ tan θ
( N1 , N2 , N3 , , Nn)
d sin θ = (n - ) n = 1, 2, 3,
d = (n - ) L >> d θ F
sin θ tan θ
F F F F
F
F F 1 (A1)
A0
F
1 , 2 , 3 , F
F 6
F 10,000 F F F
30˚ F
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11. F 1 (A1)
3
F (A0)
=?
10,000 F /
d sin θ = n
n=1 d= = 10-6 m
F =
=
= 500x10-9 = 500 nm Ans
F 7
F 5,000 F F F F
1 F F F F F 400 700
F
F 1 (A1)
x2 x1
F A0
1 = 400 nm
5,000 F /
2 = 700 nm L = 1.0
d = n
x= n
x1 F x1 = (1)(400x10-9) d= = 2x10-6
x1 = 0.2 m
x2 x2 = (1)(700x10-9)
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12. x2 = 0.35 m
Δ x = x2 - x1 = 0.35 0.20 = 0.15 m Ans
F 8
F F F F
2 630 F 3
F
F 2 1/ F 3 2
θ
F A0
= 630 nm
1
d
2=?
d sin θ = n
n = 2 , d sin θ = 2 1 ----1
F n = 3 , d sin θ = 3 2 ----2
1=2, 3 2 = 2 1
2 = 1 = (630)
2 = 420 nm Ans
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