Create assignment, 00224, Homework 11, Apr 22 at 7:14 am
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printout
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have
14
questions.
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before answering.
The due time is Central
time.
Bright Band Separation
37:02, trigonometry, numeric,
>
1 min, nor
mal.
001
Two slits are illuminated by a 340 nm light.
The angle between the zerothorder bright
band at the center of the screen and the
fourthorder bright band is 13
◦
.
If the screen is 130 cm from the doubleslit,
how far apart is this bright band from the
central peak?
Correct answer: 30
.
0129 cm.
Explanation:
Basic Concept:
y
=
L
tan
θ.
Solution:
y
=
L
tan
θ
= (130 cm) tan(13
◦
)
= 30
.
0129 cm
.
002
What is the distance between the two slits?
Correct answer: 0
.
00604576 mm.
Explanation:
Basic Concept:
d
sin
θ
=
mλ
Solution:
The fourthorder bright band oc
curs when
m
= 4; therefore,
d
=
m λ
sin
θ
=
4 (340 nm)
sin(13
◦
)
= 0
.
00604576 mm
.
keywords:
First Order Bright Line
37:02, trigonometry, numeric,
>
1 min, nor
mal.
003
Light falls on a pair of slits 0
.
0019 cm apart.
The slits are 80 cm from the screen. The first
order bright line is 1
.
9 cm from the central
bright line.
What is the wavelength of the light?
Correct answer: 451
.
25 nm.
Explanation:
For double slit interference,
x
L
=
λ
d
so that
λ
=
xd
L
Dimensional analysis
of
λ
:
cm
·
cm
cm
1 m
10
2
cm
10
9
nm
1 m
= nm
keywords:
Screen Distance
37:02, trigonometry, numeric,
>
1 min, nor
mal.
004
Light of wavelength 442 nm passes through a
doubleslit system that has a slit separation
of 0
.
4 mm.
How far away must a screen be placed in or
der for the first dark fringe to appear directly
opposite both slits?
Correct answer: 0
.
361991 m.
Explanation:
For the dark band
y
dark
=
λL
(
m
+ 1
/
2)
d
Since the two dark bands are just opposite the
slits, then
y
=
d/
2, and
m
= 0, so
L
=
2
yd
λ
=
d
2
λ
=
(0
.
001 m
/
mm)
2
(0
.
4 mm)
2
(442 nm)(1
×
10

9
m
/
nm)
= 0
.
361991 m
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Create assignment, 00224, Homework 11, Apr 22 at 7:14 am
2
keywords:
Youngs Interference Method 03
37:02, trigonometry, numeric,
>
1 min, nor
mal.
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 Spring '10
 Avram
 Physics, Work, Light, Doubleslit experiment, Correct Answer, 0.4 mm, 0.8 mm

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