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In this lesson, we will learn how to calculate the characteristics of an interference pattern made by the diffraction of visible light through two slits.

Q1:

A double slit produces a diffraction pattern that is a combination of single- and double-slit interference, where the first minimum of the single-slit pattern falls on the fifth maximum of the double-slit pattern. Find the ratio of the width of the slits to the distance between the slits.

Q2:

When monochromatic light of wavelength 430 nm is incident on a double slit of slit separation 5 μm, there are 11 interference fringes in its central maximum. How many interference fringes will be in the central maximum of light of wavelength 632.8 nm for the same double slit?

Q3:

White light falls on two narrow slits separated by 0.40 mm. The interference pattern is observed on a screen 3.0 m away.

What is the separation between the first maxima for red light ( 𝜆 = 7 0 0 ) n m and violet light ( 𝜆 = 4 0 0 ) n m ?

At what point nearest the central maximum will a maximum for yellow light ( 𝜆 = 6 0 0 ) n m coincide with a maximum for violet light ( 𝜆 = 4 0 0 ) n m ?

What orders of maxima of yellow light ( 𝜆 = 6 0 0 ) n m and violet light ( 𝜆 = 4 0 0 ) n m will coincide nearest the central maximum?

Q4:

The first-order maximum for monochromatic light falling on a double slit is at an angle of 1 0 . 0 ∘ .

At what angle is the second-order maximum?

What is the angle of the first minimum?

What is the highest-order maximum possible?

Q5:

Light of wavelength 720 nm is diffracted and the diffraction pattern produces a second-order maximum. What is the smallest separation between two slits that can produce this pattern?

Q6:

Find the distance between two slits that produces the first minimum for 410-nm violet light at an angle of 4 5 . 0 ∘ .

Q7:

If both 500-nm light and 650-nm light each pass through two slits that are separated by 0.50 mm, how far apart are the second order maxima for these two wavelengths on a screen 2.0 m away?

Q8:

600 nm wavelength light diffracts through two slits separated by 0.12 mm.

What is the angular position of the first maximum?

What is the angular position of the third maximum?

Q9:

Two slits are separated by a distance exactly five times the width of the slits. How many interference fringes lie in the central peak of the diffraction pattern?

Q10:

A monochromatic light of wavelength 590 nm is incident on two slits with a width of 3.2 μm each. A diffraction pattern is produced containing nine interference peaks inside the diffraction pattern central maximum. Find the separation of the slits.

Q11:

Young’s double-slit experiment is performed under water of refractive index 1.33. The light source is a He-Ne laser of 𝜆 = 6 3 3 n m in a vacuum.

What is the wavelength of this light in water?

What is the angle for the fifth-order maximum for two slits separated by 0.32 mm?

Q12:

The central diffraction peak of a double-slit interference pattern contains exactly seven peaks. What is the ratio of the slit separation to the slit width?

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