2. F ˆ F www.schoolDD.com 1
13
ˈ ˈ F ˂ F F F
ˈ
13.1
F F
F F 1 F (s0) F F F 2 F (s1 , s2) F ˈ F F ( F
f ) ( F ) F ( )
F F
F F F ˈ F F 2 F
F F F F F
F F F F
F F F F
s2
s1
(N3)
F (A2)
(N2)
F (A1)
(N1)
F (A0)
(N1)
F (A1)
(N2)
(N3)
F (A2)
s0
3. F ˆ F www.schoolDD.com 2
F F ( F)
d = F F
L = F F
x = F F F F
F F F F s1 , s2 F F ( A)
( N)
d
s1
s2
O F
P F
Q
L
λ d sinθ
O F
Q
P F
s1
s2
θ θd
L
x
F
4. F ˆ F www.schoolDD.com 3
F (A0 , A1 , A2 , , An)
| s1P s2P | = n λ n = 0, 1, 2,
d sin θ = n λ
d
୶
= n λ
( N1 , N2 , N3 , , Nn)
| s1Q s2Q | = (n -
ଵ
ଶ
) λ n = 1, 2, 3,
d sin θ = (n -
ଵ
ଶ
) λ
d
୶
= (n -
ଵ
ଶ
) λ
F 1
F F F 400 F 600 F
F 1.0 F 2 F F F F
x F
F
d sin θ = n λ
d
୶
= n λ θ F
F n = 2 F x = n λ
L
d
= 2 (600x10-9
) 1.0
400x10െ6
x = 3x10-3
m Ans
L >> d θ F
sin θ tan θ
L >> d θ F
sin θ tan θ
d = 400 ߤm
λ = 600 nm d sinθ
F (A0)
s1
s2
θ θ
L = 1.0
x = ?
F
5. F ˆ F www.schoolDD.com 4
x
F F
d sin θ = (n -
ଵ
ଶ
) λ
d
୶
= (n -
ଵ
ଶ
) λ θ F
F n = 2 F x = (n -
ଵ
ଶ
) λ
L
d
= (2-1/2) (600x10-9
) 1.0
400x10െ6
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 ˈ 0.40 ˈ F
λ F 2 F F F F F
F F θ F F F F
F 1 2 F n = 1 n = 2
F
d
୶
= n λ θ F
F n = 1 F x1 = (1) λ
L
d
F n = 2 F x2 = (2) λ
L
d
F F x2 x1 = 0.4x10-3
m
(2) λ
L
d
- (1) λ
L
d
= 0.4x10-3
λ = 0.4x10-3 ୢ
= 0.4x10-3 ହ୶ଵషల
.ହ
λ = 400x10-9
m = 400 nm Ans
F 2 (A2) n = 2
F 1 (A1) n = 1
x2
d = 500 ߤm
λ = ?
F (A0)
s1
s2
L = 0.50
x1
F
6. F ˆ F www.schoolDD.com 5
F F F θ F F F F F F
F F F F F F F F
λ F F F F F
d
୶
= λ
d
୶
ଶ
=
ଶ
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
୶
= λ
d L ∆x ן λ
F
୶మ
୶భ
=
మ
భ
F F
୶మ
.ଶ
=
ସ
∆x2 = 0.3 mm Ans
Δx = F F F
F F
୶
ଶ
= F F F
2 (N2)
1 (N1)
F 2 (A2)
F 1 (A1)
d
λ
F (A0)
s1
s2
L
F
7. F ˆ F www.schoolDD.com 6
13.2
F F F F
F F F F F F
F
F F F
F ˈ F F F F
F F F F F
F - F ( )
a = F
L = F F
x = F F F F
λ
O F
Q
P F
θ θ
a
L
x
F ʽ
F ˈ F
F (A0)
F
8. F ˆ F www.schoolDD.com 7
F F
(N1 , N2 , N3 , , Nn)
a sin θ = n λ
a
୶
= n λ
F ( A0 , A1 , A2 , , An)
a sin θ = (n +
ଵ
ଶ
) λ
a
୶
= (n +
ଵ
ଶ
) λ
F 4
600 F 100 F
1.0 F F ˈ F
F 1 F F F F F F ˈ
F
F F F F 2x
F
a
୶
= n λ
n = 1 F x = n λ
L
a
= (1)(600x10-9
) 1.0
100x10െ6
x = 6x10-3
m
2x = 2x6x10-3
= 12x10-3
m Ans
n = 1, 2, 3,
L >> a θ F
sin θ tan θ
n = 0, 1, 2,
L >> a θ F
sin θ tan θ
1 (N1)
a = 100 ߤm
λ = 600 nm
F (A0)
1 (N1)
L = 1.0
x
9. F ˆ F www.schoolDD.com 8
F 5
500 F 3
30˚ F F F F
F
a sin θ = n λ
n = 3 F a =
୬
ୱ୧୬
=
ଷሺହ୶ଵషవ
.ହ
a = 3x10-6
= 3.0 ߤm Ans
13.3
ˈ F F F F ˈ F
F F (1,000 10,000 F /1 .) F F F F
F F F F F F F
F F ( )
a = ?
30
λ = 500 nm
F (A0)
3 (N3)
λ
O F
Q
P F
θ
d
L
x
10. F ˆ F www.schoolDD.com 9
d = F F
L = F F
x = F F F F
F F
F (A0 , A1 , A2 , , An)
d sin θ = n λ
d
୶
= n λ
( N1 , N2 , N3 , , Nn)
d sin θ = (n -
ଵ
ଶ
) λ
d
୶
= (n -
ଵ
ଶ
) λ
ˈ F F F F
F 6
F 10,000 F F F
30˚ F
n = 0, 1, 2,
L >> d θ F
sin θ tan θ
n = 1, 2, 3,
L >> d θ F
sin θ tan θ
F 1 (A1)
F
F
F
F
λ1 , λ2 , λ3 ,
A0
11. F ˆ F www.schoolDD.com 10
d sin θ = n λ
n = 1 d = ଵ௫ଵషమ
ଵ
= 10-6
m
F λ =
ୢୱ୧୬
୬
=
ଵషలሺ.ହሻ
ଵ
λ = 500x10-9
= 500 nm Ans
F 7
F 5,000 F F ˈ F F
1 F F F F F ˈ 400 700
d
୶
= n λ
x = n λ
L
d
x1 F x1 = (1)(400x10-9
) 1.0
2x10െ6 d =
ଵషమ
ହ
= 2x10-6
x1 = 0.2 m
x2 x2 = (1)(700x10-9
) 1.0
2x10െ6
30
10,000 F /λ = ?
F (A0)
F 1 (A1)
L = 1.0
x2 x1
F 1 (A1)F
λ1 = 400 nm
λ2 = 700 nm
F A0
5,000 F /
12. F ˆ F www.schoolDD.com 11
x2 = 0.35 m
Δx = x2 - x1 = 0.35 0.20 = 0.15 m Ans
F 8
F F F F
2 630 F 3
F
d sin θ = n λ
n = 2 , d sin θ = 2 λ1 ----1
F n = 3 , d sin θ = 3 λ2 ----2
1 = 2 , 3 λ2 = 2 λ1
λ2 =
ଶ
ଷ
λ1 =
ଶ
ଷ
(630)
λ2 = 420 nm Ans
θ
F 2 λ1 / F 3 λ2
λ1 = 630 nm
λ2 = ?
F A0
d
