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
Karolina [17]
3 years ago
14

There are 5510 lines per centimeter in a grating that is used with light whose wavelegth is 467 nm. A flat observation screen is

located 1.03 m from the grating. What is the minimum width that the screen must have so the centers of all the principal maxima formed on either side of the central maximum fall on the screen
Physics
1 answer:
Mademuasel [1]3 years ago
4 0

Answer:

1.696 nm

Explanation:

For a diffraction grating, dsinθ = mλ where d = number of lines per metre of grating = 5510 lines per cm = 551000 lines per metre and λ = wavelength of light = 467 nm = 467 × 10⁻⁹ m. For a principal maximum, m = 1. So,

dsinθ = mλ = (1)λ = λ

dsinθ = λ

sinθ = λ/d.

Also tanθ = w/D where w = distance of center of screen to principal maximum and D = distance of grating to screen = 1.03 m

From trig ratios 1 + cot²θ = cosec²θ

1 + (1/tan²θ) = 1/(sin²θ)

substituting the values of sinθ and tanθ we have

1 + (D/w)² = (d/λ)²

(D/w)² = (d/λ)² - 1

(w/D)² = 1/[(d/λ)² - 1]

(w/D) = 1/√[(d/λ)² - 1]

w = D/√[(d/λ)² - 1] = 1.03 m/√[(551000/467 × 10⁻⁹ )² - 1] = 1.03 m/√[(1179.87 × 10⁹ )² - 1] = 1.03 m/1179.87 × 10⁹  = 0.000848 × 10⁻⁹ = 0.848 × 10⁻¹² m = 0.848 nm.

w is also the distance from the center to the other principal maximum on the other side.

So for both principal maxima to be on the screen, its minimum width must be 2w = 2 × 0.848 nm = 1.696 nm

So, the minimum width of the screen must be 1.696 nm

You might be interested in
Which of the following effects is produced by the high surface tension of water? Which of the following effects is produced by t
Mashcka [7]

<u>Answer:</u>

<em>A water strider can walk along the surface of earth due to the surface tension of water. </em>

<u>Explanation:</u>

Fluids have a <em>tendency to shrink to minimum possible surface area</em> and this is called surface tension. It usually occurs due to the greater force of cohesion between molecules of same substance when compared to adhesive force between molecules of different substances. Objects with greater densities can float along water surface due to the <em>role played by surface tension. </em>

When insects walk along the water surface they  are pulled down due to gravity. But  the  force of attraction  between the legs of the insect and water molecules is minimal. Thus the surface tension would always tend to maintain the <em>flatness of water overcoming</em> the push by the legs of the strider.  

When the insect’s weight pulls it down , the surface tension pushes it upwards  overcoming this force of gravity. This is how<em> water striders move along the surface of water.  </em>

7 0
2 years ago
What explains the information needed to calculate speed and velocity?
Ede4ka [16]
To calculate speed, you need to know the total distance covered
and the time it took to cover the distance.

To calculate velocity, you need the starting location, the ending location,
and the time it took to go from start to finish.

3 0
3 years ago
List six forms of electromagnetic radiation from the shortest waves(highest energy) to the longest waves (lowest energy)
romanna [79]
That's the reverse of RIVUXG
so your answer is
gamma rays
x rays
ultraviolet light
visible light
infrared
radio waves
8 0
3 years ago
Question 3 You see the coordinates 5 E longitude, 10 N latitude. You do not need to look at a map in order to deduce that this l
san4es73 [151]

Answer:

a. Near both the equator and the prime meridian.

Explanation:

The  equator is at 0 degrees latitude and the prime meridian is 0 degrees longitude.

5 0
3 years ago
Read 2 more answers
If you wanted to discover the youngest stars you could find in some grouping of stars in the Galaxy, which type of star group wo
Vilka [71]

Answer:

Associations Clusters

Explanation:

There is three basic type of clusters, globular clusters, open clusters, associations clusters. Associations cluster consist of younger stars that is younger than globular and open clusters stars.

7 0
2 years ago
Other questions:
  • The rate at which an object moves
    13·2 answers
  • A 0.145-kg baseball pitched horizontally at 27.0 m/s strikes a bat and pops straight up to a height of 31.5 m. If the contact ti
    12·1 answer
  • What<br> is the difference between hypothesis, theory and scientific law?
    11·1 answer
  • At summer camp, the swimming course runs the length (L) of a small lake. To determine the length of the course, the camp counsel
    11·1 answer
  • A student stays at her initial position for a bit of time, then walks slowly in a straight line for a while, then stops to rest
    13·1 answer
  • Transistor heating up in tesla coil !!!! please help me.
    7·1 answer
  • In a parallel circuit, there is only one path for current to take. Please select the best answer from the choices provided T F
    9·1 answer
  • As best you can, describe how we can tell the age of the Earth and rocks found on it.
    7·1 answer
  • A 2.8 kg rectangular air mattress is 2.00 m long, 0.500 m wide, and
    12·1 answer
  • An oil has a kinematic viscosity of 1.25 × 10^-4 and a specific gravity of 0.8. What is the viscosity of this oil in SI unit of
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!