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Lesson: Single-Slit Diffraction

Sample Question Videos

Worksheet • 25 Questions • 2 Videos

Q1:

A single slit of width 0.20 mm is illuminated by light of 400 nm wavelength. The diffracted light falls on a screen. In the pattern formed on the screen, the second minimum of the diffracted light is a distance of 2.5 mm from the central maximum. What is the distance between the slit and the screen?

Q2:

Calculate the wavelength of light that produces its first minimum at an angle of 3 6 . 9 ∘ when falling on a single slit of width 1.00 μm.

Q3:

A single-slit diffraction pattern for light with a wavelength πœ† = 5 8 9 n m is projected onto a screen that is 1.00 m away from a slit of width 0.25 mm.

How far from the centre of the pattern is the centre of the first dark fringe?

  • A 2.4 mm
  • B 3.3 mm
  • C 1.8 mm
  • D 2.8 mm
  • E 2.1 mm

How far from the centre of the pattern is the centre of the second dark fringe?

  • A 4.7 mm
  • B 5.5 mm
  • C 2.4 mm
  • D 4.0 mm
  • E 3.3 mm

Q4:

A slit is 4.00 ΞΌm wide. At what angle does the slit produce a third-order minimum for 700 nm wavelength light?

Q5:

Equal intensities of 550 nm and 600 nm wavelength light are incident on a slit of width 1.8 ΞΌm. Find the separation of the π‘š = 1 bright spots for the two wavelengths on a screen 30.0 cm away.

Q6:

A slit is 3.00 ΞΌm wide. At what angle does the slit produce a first-order minimum for 410 nm wavelength light?

Q7:

A doorway of width 1.0 m acts as an aperture that diffracts both light and sound.

What is the angular position of the first minimum in the diffraction pattern of 600-nm light passing through the doorway?

  • A 3 . 4 Γ— 1 0 βˆ’ 5 ∘
  • B 7 . 2 Γ— 1 0 βˆ’ 5 ∘
  • C 4 . 2 Γ— 1 0 βˆ’ 5 ∘
  • D 6 . 4 Γ— 1 0 βˆ’ 5 ∘
  • E 5 . 0 Γ— 1 0 βˆ’ 5 ∘

What is the angular position of the first minimum in the diffraction pattern of 440-Hz-frequency sound passing through the doorway at a speed of 343 m/s?

  • A 5 1 ∘
  • B 4 4 ∘
  • C 1 5 ∘
  • D 3 9 ∘
  • E 2 7 ∘

Q8:

Light passing through a single slit produces a second-order minimum at an angle of 1 5 . 3 ∘ .

At what angle is the third-order minimum produced?

At what angle is the first-order minimum produced?

Q9:

At what angle is the first minimum for 550-nm light falling on a single slit of width 1.00 ΞΌm?

Q10:

Find the wavelength of light that produces a third-order minimum at 6 8 . 2 0 ∘ when passing through a slit with a width of 6.000 μm.

Q11:

Light of wavelength 450 nm passes through a slit of width 0.32 mm.

What is the angular position of the second-order minimum in the diffraction pattern produced?

What is the angular width of the central peak of the diffraction pattern?

  • A 0 . 0 8 ∘ , βˆ’ 0 . 0 8 ∘
  • B 0 . 0 1 ∘ , βˆ’ 0 . 0 1 ∘
  • C 0 . 0 6 ∘ , βˆ’ 0 . 0 6 ∘
  • D 0 . 0 9 ∘ , βˆ’ 0 . 0 9 ∘
  • E 0 . 0 5 ∘ , βˆ’ 0 . 0 5 ∘

Q12:

A single slit of width 0.10 mm is illuminated by light of wavelength 576 nm. Find the light intensity at an angle of 1 0 ∘ to the central axis of the transmitted light, expressing the intensity in terms of the intensity of the central maximum.

  • A 2 . 2 Γ— 1 0 𝐼 βˆ’ 5 π‘œ
  • B 2 . 6 Γ— 1 0 𝐼 βˆ’ 5 π‘œ
  • C 1 . 3 Γ— 1 0 𝐼 βˆ’ 5 π‘œ
  • D 1 . 9 Γ— 1 0 𝐼 βˆ’ 5 π‘œ
  • E 1 . 6 Γ— 1 0 𝐼 βˆ’ 5 π‘œ

Q13:

Light of wavelength 6 . 0 0 Γ— 1 0   m is diffracted by a single slit of width 0.025 mm. The diffracted light is incident on a screen 2.0 m from the slit. The intensity of the light in the diffraction pattern for different values of the diffraction angle πœƒ can be expressed in terms of the intensity of the central maximum 𝐼  .

What is the intensity for πœƒ = 0 . 5 0 ∘ .

  • A 0 . 6 3 𝐼 
  • B 0 . 8 1 𝐼 
  • C 0 . 6 8 𝐼 
  • D 0 . 7 7 𝐼 
  • E 0 . 7 4 𝐼 

What is the intensity for πœƒ = 1 . 0 ∘ .

  • A 0 . 1 1 𝐼 
  • B 0 . 3 1 𝐼 
  • C 0 . 1 5 𝐼 
  • D 0 . 2 5 𝐼 
  • E 0 . 2 0 𝐼 

What is the intensity for πœƒ = 1 . 5 ∘ .

  • A 0 . 0 0 6 7 𝐼 
  • B 0 . 0 0 5 3 𝐼 
  • C 0 . 0 0 1 8 𝐼 
  • D 0 . 0 0 3 7 𝐼 
  • E 0 . 0 0 2 5 𝐼 

What is the intensity for πœƒ = 3 . 0 ∘ .

  • A 0 . 0 0 6 2 𝐼 
  • B 0 . 0 1 2 𝐼 
  • C 0 . 0 0 2 8 𝐼 
  • D 0 . 0 0 8 7 𝐼 
  • E 0 . 0 0 4 3 𝐼 

What is the intensity for πœƒ = 1 0 . 0 ∘ .

  • A 0 . 0 0 0 8 8 𝐼 
  • B 0 . 0 0 1 5 𝐼 
  • C 0 . 0 0 0 9 8 𝐼 
  • D 0 . 0 0 1 3 𝐼 
  • E 0 . 0 0 1 1 𝐼 

Q14:

Red light of wavelength 630 nm in air from a helium-neon laser is incident on a single slit of width 0.0400 mm. The entire apparatus is immersed in water of refractive index 1.33. Determine the angular width of the central peak.

Q15:

A single slit of width 3.9 μm is illuminated by light of wavelength 589 nm. Find the light intensity at an angle of 1 5 ∘ to the central axis of the transmitted light, expressing the intensity in terms of the intensity of the central maximum.

  • A 0 . 0 4 1 𝐼 π‘œ
  • B 0 . 0 7 5 𝐼 π‘œ
  • C 0 . 0 3 3 𝐼 π‘œ
  • D 0 . 0 6 7 𝐼 π‘œ
  • E 0 . 0 5 0 𝐼 π‘œ

Q16:

Suppose that the central peak of a single-slit diffraction pattern is so wide that the first minima can be assumed to occur at angular positions of ± 9 0 ∘ . For this case, what is the ratio of the slit width to the wavelength of the light?

  • A 1 ∢ 1
  • B 1 ∢ 4
  • C 1 ∢ √ 2
  • D 1 ∢ πœ‹
  • E 1 ∢ 2

Q17:

630 nm wavelength light falls onto a slit of width 25.3 ΞΌm.

Find the angle of the second-order diffraction minimum produced.

What slit width would produce a second-order diffraction minimum angle of 7 7 . 8 ∘ ?

Q18:

Find the wavelength of light that has its third minimum at an angle of 4 8 . 6 ∘ when it falls on a single slit of width 3.00 μm.

Q19:

Find the width of a single slit that produces a second-order minimum at 5 3 . 7 ∘ for 650 nm wavelength light.

Q20:

How many times the wavelength πœ† of a wave is the minimum width of a single slit that will produce a diffraction pattern containing a first minimum?

How many times the wavelength πœ† of a wave is the minimum width of a single slit that will produce a diffraction pattern containing 50 minima?

How many times the wavelength πœ† of a wave is the minimum width of a single slit that will produce a diffraction pattern containing 1 0 0 0 minima?

Q21:

If the separation between the first and the second minima of a single-slit diffraction pattern is 6.00 mm, what is the distance between the screen and the slit? The light wavelength is 500 nm and the slit width is 0.160 mm.

Q22:

Monochromatic light of wavelength 530 nm passes through a horizontal single slit of width 1.5 ΞΌm in an opaque plate. A screen of dimensions 2 . 0 Γ— 2 . 0 m m is 1.2 m away from the slit.

What is the angle with respect to the centre of the diffraction pattern of the first minimum of intensity observed?

  • A Β± 2 0 ∘
  • B Β± 1 7 ∘
  • C Β± 1 0 ∘
  • D Β± 1 5 ∘
  • E Β± 1 3 ∘

What is the angle with respect to the centre of the diffraction pattern of the second minimum of intensity observed?

  • A Β± 4 4 ∘
  • B Β± 4 7 ∘
  • C Β± 3 0 ∘
  • D Β± 4 1 ∘
  • E Β± 3 8 ∘

What is the angle with respect to the centre of the diffraction pattern of the first maximum of intensity observed?

  • A 0 ∘
  • B Β± 9 . 0 ∘
  • C Β± 2 . 6 ∘
  • D Β± 7 . 7 ∘
  • E Β± 5 . 0 ∘

What is the angle with respect to the centre of the diffraction pattern of the second maximum of intensity observed?

  • A Β± 3 1 ∘
  • B Β± 3 5 ∘
  • C Β± 2 0 ∘
  • D Β± 2 8 ∘
  • E Β± 2 4 ∘

What is the angle with respect to the centre of the diffraction pattern of the third maximum of intensity observed?

  • A Β± 6 0 ∘
  • B Β± 6 7 ∘
  • C Β± 2 0 ∘
  • D Β± 5 5 ∘
  • E Β± 3 3 ∘

How wide is the central bright fringe on the screen?

  • A 89 cm
  • B 110 cm
  • C 64 cm
  • D 93 cm
  • E 75 cm

How wide is the first bright fringe on the screen that is separated from the central bright fringe by a dark fringe?

  • A 71 cm
  • B 110 cm
  • C 62 cm
  • D 99 cm
  • E 88 cm

Q23:

A microwave of an unknown wavelength is incident on a single slit of width 6.0 cm. The angular width of the central peak is found to be 2 5 ∘ . Find the wavelength.

Q24:

An aircraft maintenance technician walks past a tall hangar door that acts like a single slit for sound entering the hangar. Outside the door, on a line perpendicular to the opening in the door, a jet engine makes a 600-Hz sound. At what angle with the door will the technician observe the first minimum in sound intensity if the vertical opening is 0.800 m wide and the speed of sound is 340 m/s?

Q25:

A single slit of width 1 8 5 0 nm is illuminated by normally incident light of wavelength 630 nm. Find the phase difference between waves from the top and the bottom of the slit to a point on a screen at a horizontal distance of 3.2 m and a vertical distance of 13.0 cm from the center.

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