Monochromatic light with wavelength 590 nm passes through a single slit 2. 30 ?m wide and 1. 90 m from a screen. Find the distance between the first- and second-order dark fringes on the screen.

Answers

Answer 1

The distance between the first and second-order dark fringe is 0.441 m.

Diffraction of a single slit:

When the light wave passes through a single slit of width which is comparable to the wavelength of the light, then the light wave bends at the edges of the slit. This is called diffraction.

Note: It is assumed that the slit is 3*10^(-3) mm wide. 1 nm = 10^(-9) m and 1mm = 10^(-3) m.

The dark fringes are obtained at the position which satisfies the equation,

d*sinθ = mλ

where d is the slit width, λ is the wavelength of the wave, θ is the angle of diffraction and m denotes the order of the dark fringe.

For first order fringe (m=1), the angle of diffraction θ₁ is,

d*sinθ₁ = λ

sinθ₁ =λ/d

Substitute λ=590 nm, d=3*10^(-3) mm, and solve it.

sinθ₁ =(590 nm)/(3*10^(-3) mm)

sinθ₁ =(590*10^(-9))/ (3*10^(-3)*10^(-3) m)

sinθ₁ =0.196

θ₁ =11.03 degree

Similarly, for second-order fringe (m=2), the angle of diffraction θ₂ is,

d*sinθ₂= 2λ

sinθ₂ =2λ/d

Substitute λ=590 nm, d=3*10^(-3) mm, and solve it.

sinθ₂ =(2*590 nm)/(3*10^(-3) mm)

sinθ₂ =(2*590*10^(-9))/ (3*10^(-3)*10^(-3) m)

sinθ₂ =0.393

θ₂ =23.14 degree

From geometry, the positions x₁ and x₂ of the first and second-order dark fringe from the center of the screen are x₁=Dtanθ₁ and x₂= Dtanθ₂ where D is the distance of the screen from the slit. The distance s between the first-order and second-order dark fringe is then given by,

s=D(tanθ₂-tanθ₁)

Substitute D=1.90 m, θ₁=11.03 degree, and θ₂=23.14 degree in this equation and solve it.

s=1.90*(tan(23.14)-tan(11.03))

s=1.90*(0.427-0.195)

s=0.441 m

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Related Questions

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the momentum = m * v

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v : velocity

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Answers

Answer:

Bent knees

Explanation:

Depending the height your jumping from, if you were jumping from a high structure it's best if you jump and land on knees so you dont sprang your ankles from jumping and landing on your straight legs, you could even pull a muscle if you land on straight legs.

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Answers

Radio waves - used for communication e.g. radios and TVs

Microwaves - used for cooking food and for satellite communications

Infrared light - used by electrical heaters and infrared cameras

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Answer:

around the nuclei of each atom

Explanation:

Answer:

Before bonding, the atom's electrons spend most of their time around the nuclei of each atom.

Explanation:

Once bonded, the electrons spend most of their time between the two nuclei.

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Answers

Answer:

x=7

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2x+1-2x=8

or,2x-2x=8-1

x=7

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Answer:

they are;at first its teamwork,then agility and quick thinking

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Answers

The vertical component of the velocity at the starting is 12.5 m/s upwards.

What is velocity?

Velocity is the direction at which an object is moving and serves as a measure of the rate at which its position is changing as seen from a specific point of view and as measured by a specific unit of time.

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Hence,  the vertical component of the velocity in upward direction = 25 sin30° m/s

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= 12.5 m/s.

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Answers

[tex]ek = \frac{1}{2}m {v}^{2} [/tex]

[tex]ek = \frac{1}{2}(50) {(1)}^{2} [/tex]

[tex]ek = \frac{1}{2}(50)[/tex]

[tex]ek = 25j[/tex]

//

I'm not really sure but I do know that it's not 0 because the object is still moving, even if it's only moving at 1 m/s.

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Answers

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Answers

Answer:

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Answer:

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What the other person said !!

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Answer:

"Longshore currents are affected by the velocity and angle of a wave. When a wave breaks at a more acute (steep) angle on a beach, encounters a steeper beach slope, or is very high, longshore currents increase in velocity. ... This process, known as “longshore drift,” can cause significant beach erosion."

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Answers

Answer:

when a ray of light is incident normally on a plane mirror the angle between incident and reflected ray is 0 degree or 180 degree

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Answers

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Brazilianite Brazilianite

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i just did the quiz an got it right

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Answer:

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not folded on the line

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false

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because Oxalic acid is present in spinach

MARK ME AS BRAINLIST

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Answer:

Glucose diffuse from the blood plasma, across the capillary walls to the tissue fluid, and then to the cell.

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Answer:

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Answer:

true

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13-1 LIVE
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Answers

Correct question is;

2, A rectangular Container of base 50 cm by 30cm is filled with water to be depth of 5cm. how much is the pressure exerted at the base? (take pw= 1000kg /m3 and g=10m/s)​

Answer:

P = 500 N/m²

Explanation:

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