1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mixer [17]
3 years ago
6

Monochromatic light of wavelength λ is incident on a pair of slits separated by 2.30 10-4 m and forms an interference pattern on

a screen placed 2.10 m from the slits. The first-order bright fringe is at a position ybright = 4.56 mm measured from the center of the central maximum. From this information, we wish to predict where the fringe for n = 50 would be located.
(a) Assuming the fringes are laid out linearly along the screen, find the position of the n = 50 fringe by multiplying the position of the n = 1 fringe by 50.0.

(b) Find the tangent of the angle the first-order bright fringe makes with respect to the line extending from the point midway between the slits to the center of the central maximum.

(c) Using the result of part (b) and dsinθbright = mλ, calculate the wavelength of the light. nm

(d) Compute the angle for the 50th-order bright fringe from dsinθbright = mλ. °

(e) Find the position of the 50th-order bright fringe on the screen from ybright = Ltanθbright.
Physics
1 answer:
Gekata [30.6K]3 years ago
4 0

Answer:

Explanation:

fringe width = λ D / d  , λ is wavelength of light , D is distance of screen , d is slit width.

first bright fringe is located at 4.56 mm

so fringe width = 4.56 mm

location of 50 th fringe = 50 x 4.56

= 228 mm .

b ) If angular position of first order fringe be Ф

tanФ =  λ  / d

= fringe width / D   , D is distance of screen

= 4.56 / 2.1 x 1000

4.56 / 2100

c )

d sinФ =  λ ( wavelength)

=  2.30 x  10⁻⁴ x 4.56 / 2100 = wavelength [ when angle is small , sinФ = tanФ ]

= 499.4 nm .

d ) d sinθ = 50 x 499.4 x 10⁻⁹

sinθ = 50 x 499.4 x 10⁻⁹ /  2.30 x  10⁻⁴

= .2497 / 2.3

= 6.23 degree .

e ) ybright = Ltanθbright , L is distance of screen

= 2.1 x tan6.23

= .229 m

= 229 mm .

You might be interested in
What do all members of a biological species have in common?
Vadim26 [7]
A)they can interbreed and produce fertile offsprings
6 0
3 years ago
Read 2 more answers
Two boxes are 8 cm apart. Which of the following should Janet do to decrease the gravitational force between the boxes?
OlgaM077 [116]

Answer:

the answer is 2.

Explanation:

4 0
2 years ago
An aurora occurs when ____
ASHA 777 [7]

The short answer to how the aurora happens is that energetic electrically charged particles (mostly electrons) accelerate along the magnetic field lines into the upper atmosphere, where they collide with gas atoms, causing the atoms to give off light.

7 0
2 years ago
A stereo speaker produces a pure \"E\" tone, with a frequency of 329.6 Hz. What is the period of the sound wave produced by the
olya-2409 [2.1K]

Answer:

0.003034 s

1.035 m

4.5 m

Explanation:

f = frequency of the tone = 329.6 Hz

T = Time period of the sound wave

we know that, Time period and frequency are related as

T =\frac{1}{f}\\T =\frac{1}{329.6}\\T = 0.003034 s

v = speed of the sound in the air = 341 ms⁻¹

wavelength of the sound is given as

\lambda =\frac{v}{f} \\\lambda =\frac{341}{329.6}\\\lambda = 1.035 m

v = speed of the sound in the water = 1480 ms⁻¹

wavelength of the sound in water is given as

\lambda =\frac{v}{f} \\\lambda =\frac{1480}{329.6}\\\lambda = 4.5 m

8 0
3 years ago
Eventually, the process approaches a steady state. In that steady state, the charge of the capacitor is not changing. What is th
devlian [24]

Answer:

The current in the circuit must be zero.

Explanation:

In a RC circuit, the steady state is reached when either the capacitor is fully charged or fully discharged. In either case, there must not be any current through the circuit because if it exists, it will deliver charge to the capacitor and thus change its charge, which is not a steady state.

6 0
2 years ago
Other questions:
  • This glass of lemonade is sitting in the hot summer sun. As time passes, in which direction will heat transfer take place?
    7·2 answers
  • According to kinetic-molecular theory, if the temperature of a gas is raised from 100 °c to 200 °c, the average kinetic energy o
    7·2 answers
  • Two railroad cars, each of mass 6500 kg and traveling 80 km/h in opposite directions, collide head-on and come to rest. how much
    10·1 answer
  • The sentence, "The popcorn kernels popped twice as fast as the last batch," is a(n) _____. experiment hypothesis observation con
    15·1 answer
  • 3 common states of matter
    6·1 answer
  • A uniform disk turns at 5.00 rev/s around a frictionless spindle. A non-rotating rod, of the same mass as the disk and length eq
    10·1 answer
  • What does "Time (s)" represent in the graph?
    7·2 answers
  • A. How can a spinning ball have more lift than one that is not spinning?
    15·1 answer
  • Please help!! i will give 100 points!!
    6·2 answers
  • What is the rate of photosynthesis?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!