Question

- Two narrow slits are illuminated by a laser with a wavelength of 543 nm. The interference pattern on a screen located x = 4.50 m away shows that the third-order bright fringe is located y = 7.20 cm away from the central bright fringe. Calculate the distance between the two slits. ("1st order" means m=1, "second order" means m=2, etc).

Answer #1

Use the formula

d*sin(q) = m*l where d = distance between slits, q = angle made by the mth fringe, m = 0, +/- 1, +/-2 ... and l = wavelength

Now you can approximate sin(q) for q << 1 by sin(q) ~ q

In the problem you are told the screen is distance L = 4.5m away and the second fringe is at y 0.091 m so you can estiamte q by

q ~ y/L = 0.091/4.7 = 0.01936 radians and then sin(q) = 0.01936 so now you can solve for d

d = m*l/sin(q) = 2* 543x10^-9m/0.01936 = 5.93x10^-6 m = 5.61 um

Two narrow slits are illuminated by a laser with a wavelength of
522 nm. The interference pattern on a screen located x = 4.80 m
away shows that the third-order bright fringe is located y = 9.10
cm away from the central bright fringe. Calculate the distance
between the two slits.
The screen is now moved 0.9 m further away. What is the new
distance between the central and the third-order bright fringe?

Two narrow slits are illuminated by a laser with a wavelength of
578 nm. The interference pattern on a screen located x = 4.50 m
away shows that the third-order bright fringe is located y = 9.10
cm away from the central bright fringe. Calculate the distance
between the two slits.
First you have to calculate the angle of the maximum. Then you
can use the formula for bright fringes of double slits.
Incorrect.
Tries 2/20
Previous Tries
The screen...

Two narrow slits are illuminated by a laser with a wavelength of
587 nm. The interference pattern on a screen located x = 5.00 m
away shows that the second-order bright fringe is located y = 9.30
cm away from the central bright fringe.
A.) Calculate the distance between the two slits.
B.) The screen is now moved 2.5 m further away. What is the new
distance between the central and the second-order bright
fringe?

illuminated by a laser with a wavelength of 534 nm. The
interference pattern on a screen located x = 5.30 m away shows that
the fourth-order bright fringe is located y = 7.70 cm away from the
central bright fringe. Calculate the distance between the two
slits.
The screen is now moved 2.1 m further away. What is the new
distance between the central and the fourth-order bright
fringe?

Light of wavelength 670 nm falls on two slits and produces an
interference pattern in which the third-order bright fringe is 45
mm from the central fringe on a screen 3.3 m away.
What is the separation of the two slits?

Two narrow slits 0.02 mm apart are illuminated by light from a
CuAr laser (λ = 633 nm) onto a screen. a)What is the angle of the
first (m = 1) bright fringe?b)If the first fringe is 0.2 cm away
from the central fringe, what is the screen distance?c)What is the
angle of the first dark fringe?d)What is the angle of the thirtieth
bright fringe?e)If I illuminated the slits with a HeNe laser and
found an angle for the first...

In a double-slit experiment, the second-order bright fringe is
observed at an angle of 0.51°. If the slit separation is 0.11 mm,
then what is the wavelength of the light?
_____???
Two narrow slits are illuminated by a laser with a wavelength of
514 nm. The interference pattern on a screen located x = 4.60 m
away shows that the third-order bright fringe is located y = 9.00
cm away from the central bright fringe. Calculate the distance
between the...

Two narrow slits are used to produce a double-slit interference
pattern with monochromatic light. The slits are separated by 8 mm,
and the interference pattern is projected onto a screen 7 m away
from the slits. The central bright fringe is at a certain spot on
the screen. Using a ruler with one end placed at the central
fringe, you move along the ruler passing by two more bright fringes
and find that the next bright fringe is 23.5 mm...

a) Two narrow, parallel slits, separated by a distance of 0.25
mm, are illuminated by a light source whose wavelength is 480 nm.
Calculate the angular separation of the central bright maximum and
the first-order bright fringe.
b) Two narrow, parallel slits, separated by a distance of 0.25
mm, are illuminated by a light source whose wavelength is 480
nm.
(a) Calculate the angular separation
of the central bright maximum and the first-order bright
fringe.
(b) Calculate the linear separation...

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?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 2 minutes ago

asked 3 minutes ago

asked 8 minutes ago

asked 9 minutes ago

asked 13 minutes ago

asked 17 minutes ago

asked 47 minutes ago

asked 48 minutes ago

asked 51 minutes ago

asked 51 minutes ago

asked 1 hour ago