Question

Two slits spaced 0.130 mm apart are placed 90.0 cm from a screen and illuminated by coherent light with wavelength 550 nm. The intensity at the center of the central maximum is 4.30 × 10-6 W/m2. What is the distance on the screen between the third bright fringe and the sixth dark fringe? What is the intensity at a point midway between the center of the central maximum and the first minimum?

Answer #1

given separation is d = 0.13 mm

= 130 X 10^{-6} m

= 550 nm = 550 X 10^{-9} m

I_{o} = 4.30 X 10^{-6}
W/m^{2}

D = 90 cm = 0.9 m

the distance on the screen between the third bright fringe and the sixth dark fringe is " Y "

Y = D / 2 d

Y = 550 X 10^{-9} X 0.9 / 2 X 130 X 10^{-6}

**Y = 1.90 X 10 ^{-3} m**

**the distance on the screen between the third bright
fringe and the sixth dark fringe is** **Y = 1.90 X
10 ^{-3} m**

then next

the path difference is " dx "

dx = ( Y/2 ) d / D

dx = Y d / 2 D

dx = 1.9 X 10^{-3} X 130 X 10^{-6} / 2 X 0.9

dx = 1.372 X 10^{-7} m

then phase difference = 360 X dx /

= 360 X 1.372 X 10^{-7} / 550 X 10^{-9}

= 89.8 or nearly 90^{o}

using equation

I = I_{o} cos^{2} (/2)

I = 4.3 X 10^{-6} X cos^{2} 45

**the intensity at a point midway between the center of
the central maximum and the first minimum is**

**I = 2.15 X 10 ^{-6}
W/m^{2} **

Two slits spaced 0.455 mm apart are placed 50.0 cm from a
screen. What is the distance between the second and third dark
lines of the interference pattern on the screen when the slits are
illuminated with coherent light with a wavelength of 540 nm?
mm

Two slits spaced 0.400 mm apart are placed 72.0 cm from a
screen.
Part A
What is the distance between the second and third dark lines of
the interference pattern on the screen when the slits are
illuminated with coherent light with a wavelength of 530 nm ?
(delta y=_in mm)

A two-slit arrangement with 60.3 mm separation between the slits
is illuminated with 491.0 nm coherent light. If a viewing screen is
located 4 m from the slits, find the distance from the first dark
fringe on one side of the central maximum to the second dark fringe
on the other side.

Ten narrow slits are equally spaced 3.00 mm apart and
illuminated with yellow light of wavelength 572 nm.
(a)
What are the angular positions (in degrees) of the second and
fourth principal maxima? (Consider the central maximum to be the
zeroth principal maximum.)
second principal maximum = .022°
fourth principal maximum = .044°
(b)
What is the separation (in m) of these maxima on a screen 2.0 m
from the slits?
_____ m

A beam of electrons hits a pair of slits spaced a distance d
apart (center-to-center). The wavelength of the electrons is 23.8
nm. After traveling through the slits, the electrons form an
interference pattern on a screen located a distance 0.750 m from
the slits. If the center of the second 'bright' fringe occurs 2.30
cm from the center of the central bright fringe on the screen, what
is the separation, d, between the slits?
How fast are the electrons...

Two thin parallel slits that are 0.0117 mm apart are illuminated
by a laser beam of wavelength 620 nm.
(a) On a very large distant screen, what is the total
number of bright fringes (those indicating complete constructive
interference), including the central fringe and those on both sides
of it? Solve this problem without calculating all the angles!
(Hint: What is the largest that sin ? can be?
What does this tell you is the largest value of m?)
____...

A double-slit interference pattern is created by two narrow
slits spaced 0.21 mm apart. The distance between the first and the
fifth minimum on a screen 61 cm behind the slits is 6.2 mm. a. Draw
an intensity graph showing the interference pattern and identifying
the central maximum, first minimum, fifth minimum, and the distance
given in the problem declaration. b. What is the wavelength (in nm)
of the light used in this experiment?

A pair of slits, separated by 0.1 mm, is illuminated by light
having a wavelength of 500 nm. An interference pattern is observed
on a screen 1.20 m from the slits. (a) Draw the diagram of the
double slits and determine how far apart will adjacent bright
interference fringes on the screen? (b) What are the angles of the
first and second order fringes with respect to the zeroth order
fringe? (c) Determine the position of the first and second...

A double slit interference pattern is created by two narrow slit
spaced 0.025 mm apart on a screen 2 m away from the slits.
a. If the seventh bright fringe on the detector is 10 cm away
from the central fringe, what is the wavelength of light (in nm)
used in this experiment?
b. What is the angle of the diffraction order?

Parallel rays of monochromatic light with wavelength 587 nm
illuminate two identical slits and produce an interference pattern
on a screen that is 75.0 cm from the slits. The centers of the
slits are 0.640 mm apart and the width of each slit is 0.434
mm.
If the intensity at the center of the central maximum is
3.00×10−4 W/m2 , what is the intensity at a point on the screen
that is 0.710 mm from the center of the central...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 54 seconds ago

asked 6 minutes ago

asked 6 minutes ago

asked 6 minutes ago

asked 21 minutes ago

asked 21 minutes ago

asked 21 minutes ago

asked 27 minutes ago

asked 30 minutes ago

asked 32 minutes ago

asked 34 minutes ago

asked 34 minutes ago