The figure shows the light intensity on a screen behind a double slit. The slit spacing is 0.22 mm and the screen is 2.0 m behind the slits (Figure 1). What is the wavelength of the light?

Answers

Answer 1

The wavelength of the light is 550 nm

For a double slit interference pattern with slit spacing, d we have

dsinθ = mλ where d = slit spacing = 0.22 mm = 0.22 × 10⁻³ m, m = number of maximum fringe = 2(from the picture) and λ = wavelength of light.

Thus sinθ = mλ/d

Also, tanθ = L/D where L = distance between central maximum and fringe = 2.0 cm/2 = 1.0 cm = 1 × 10⁻² m and D = distance between slit and screen = 2.0 m

Since θ is small, sinθ ≅ tanθ

So, mλ/d = L/D

Making λ subject of the formula, we have

λ = dL/mD

Substituting the values of the variables into the equation, we have

λ = dL/mD

λ = 0.22 × 10⁻³ m × 1 × 10⁻² m/(2 × 2.0 m)

λ = 0.22 × 10⁻⁵ m²/4.0 m

λ = 0.055 × 10⁻⁵ m

λ = 0.55 × 10⁻⁶ m

λ = 550 × 10⁻⁹ m

λ = 550 nm

So, the wavelength of the light is 550 nm

Learn more about double slit interference here:

https://brainly.com/question/4449144

Related Questions

Vesta is a minor planet (asteroid) that takes 3.63 years to orbit the Sun.
Calculate the average sun -Vesta distance

Answers

Using Kepler's third law, the average sun -Vesta distance is 2.36 AU.

According to Kepler's laws, the square of the period of revolution of planets are proportional to the cube of their average distances from the sun. Hence, we can write; [tex]T^{2} =r^{3}[/tex]

Where;

T = period of the planet

r = average distance of the planet

When;

T = 3.63 years

r = [tex]\sqrt[3]{T^2}[/tex]

r = [tex]\sqrt[3]{(3.63)^2}[/tex]

r = 2.36 AU

Learn more:https://brainly.com/question/14281129

60 POINT!!!!!!
PLEASE HELP THIS WORK IS VERY IMPORTANT FOR ME
IF YOU GIVE ME THE CORRECT ANSWER I WILL GIVE YOU THE CROWN!!
Miranda found four different bottles filled with unknown pure liquids. She measured the mass, volume, and boiling point of these liquids, and calculated the density which are displayed in Table 1.

What conclusion can you make on whether any of the liquids are the same. Explain based on the information in the table.

Answers

Answer:

Samples 2 and 4 are the same liquid

Explanation:

Samples 2 and 4 should be the same liquid because they have the same density as well as the same boiling point. The mass and volumes given do not matter in this case, however they could be used to calculate the density which was already given.

The liquid present in sample 2 and 4 is same as according to forces of attraction they have same density and boiling points.

What are forces of attraction?

Forces of attraction is a force by which atoms in a molecule combine. it is basically an attractive force in nature. It can act between an ion and an atom as well.It varies for different states of matter that is solids, liquids and gases.

The forces of attraction are maximum in solids as the molecules present in solid are tightly held while it is minimum in gases as the molecules are far apart . The forces of attraction in liquids is intermediate of solids and gases.

The physical properties such as melting point, boiling point, density are all dependent on forces of attraction which exists in the substances.

Learn more about forces of attraction,here:

https://brainly.com/question/23841038

#SPJ2

Other Questions

pls help ill rate 5 AND MORE PLZ HELP ME The temperature went from -12F to 18F. How much did the temperature change? Assume your phone bill averages $165 a month and you have a car payment that is $505 per month. You also spend about $150 a week on food. How much are your monthly expenses? 14. Explain why a rotation of positive 180 degrees is the same as a rotation of -180 degrees. There are 10 red marbles and 8 green marbles in a jar. What is the slope of the equation Y = 5/4x-7/4A. -7B. -7/4C. 5/4D. 5 Which equation represents a line which is parallel to y = 0?A) y = 3B) x = -8C) y = x - 1D) x = 4y write the equation of a line parallel to 2x+3y=12 that passes through the point (-3,4) What message does this image convey?how a person behaves based on their opinion of their bodyhow a person should be ashamed of their bodywhat a person thinks about their bodyhow a person wants others to view their body What is the square root of 8 and 24? identify poetic devices NO SCAMS show and tell where they are60PTSA veryBeautiful dayComes when IDont spendEvery second worryingFor whats in the future,Good days dont always come easyHowever,I try to grow within myself and avoidJealousy, Ive realized over time itKills.Love seems easierMakes things easierNobody really wants to fightOver nonsense.Perhaps thats just me thinkingQuite a lot of people seem to notRealize how helpful it is to have commonSense.Trying my best,Understanding what I am doing in the momentVery important steps to progressingWho wouldnt want to grow?Xenas is what ill be You know now how I feel, about feeling tooZealous. I simply want to grow Using the diagram and information below to find the measure of the missing angles. Don't forget to show your work and label your answer. Suppose mz1 = 105 1/2 4 / 3 What are m22. m23 and mz4? mz2 = m23 = m24 =please help (: What unit is used to measure force all over the worlD in an auditorium,there are 104 rows with 24 seats in each row.how many seats are available? What is -3m + 5m = -14? With work provided Heyyyy help pleasee c: PLEASE ANSWER MY OTHER QUESTIONS ILL GIVE BRAINLIEST!!Which of the following is not a way that the government and citizens of Brazil is attempting to deal with the issue of deforestation?limits on the amount of land that can be cleared each yearbanning the clearing of land by companies based outside of Brazilresearch into how to maximize production of cleared landhigh fines on those who ignore limits land clearing Select the correct answer.Read the sentence from the passage.In Boston, they had a grand "tea party."What does the author suggest through the use of the words "grand 'tea party'"?O A.The words suggest the superiority felt by Americans compared to the king.OB.The words illustrate the splendor of tea parties during the British rule.OC.The words emphasize the richness of traditions of the British monarchy.ODThe words convey the significance of the way that the Americans rebelled. . B.9(C) For an enzyme to be able to catalyze a reaction, the active site must---- *1 pointbe occupied by an inhibitorincrease the activation energy levelhave a complementary shape to the substratecause the enzyme to be destroyed in the reactiongo keilani PLS FAST!! WILL GIVE BRAINLIEST!! 30 POINTS!! One of the most important topics covered in this lesson is how tobacco use affects health and well-being. Tobacco use causes a wide variety of cancers. It also causes heart disease, strokes, and lung disease. However, this reality often does not line up well with advertisements and media representations of tobacco use. For this discussion, find at least one representative in the media of smoking. It can be from an advertisement, movie, TV show, or even a video game. Describe the impression this media source gives about smoking. Next, find a reputable link to information about the costs of smoking. Share the link, and describe how these facts do (or do not) line up with the medias portrayal of smoking.