Question 1

In the straight-ahead direction ($\theta$ = 0°) in single-slit diffraction, which of the following is observed on the screen?

Accepted Answer

In single-slit diffraction, the central maximum (straight-ahead direction) is the brightest and widest, typically double the width of the adjacent maxima.

Question 2

A Young's double-slit apparatus is set up. A screen is positioned 1.16 m from the double slits, and the spacing between the two slits is 0.0500 mm. The distance between alternating bright fringes is 1.42 cm. What is the light source wavelength? (1 nm = 10 ^- ⁹ m)

Accepted Answer

The distance between alternating bright fringes is given by:$$d = \frac{\lambda D}{s}$$where:* d is the distance between alternating bright fringes* λ is the wavelength of light* D is the distance between the double slits and the screen* s is the spacing between the two slitsSolving for λ, we get:$$\lambda = \frac{ds}{D}$$Plugging in the given values, we get:$$\lambda = \frac{(1.42 	imes 10^{-2} 	ext{ m})(5.00 	imes 10^{-5} 	ext{ m})}{1.16 	ext{ m}} = 6.12 	imes 10^{-7} 	ext{ m} = 612 	ext{ nm}$$Therefore, the correct answer is A.

Question 3

Helium-neon laser light ($\lambda$ = 632.8 nm) is sent through a single slit of width 0.41 mm. What is the width of the central maximum on a screen 1.0 m in back of the slit? (1 nm = 10 ^- ⁹ m)

Accepted Answer

The answer of Helium-neon laser light ($\lambda$ = 632.8 nm)...

Question 4

In a Young's double-slit experiment, by how many wavelengths do the paths from the slits to the screen differ for the m = 3 and the m = 8 minima?

Accepted Answer

The path difference between two adjacent minima is given by λ/2. Therefore, the path difference between the m=3 and m=8 minima can be calculated as (8-3)λ/2 = 2.5λ. Thus, the answer is B) 2.5.

Question 5

A Young's double-slit apparatus is set up. The source wavelength is 430 nm, and the double-slit spacing is 0.040 mm. At what distance from the double slits should the screen be placed if the spacing between alternating bright fringes is to be 2.6 cm? (1 nm = 10 ^- ⁹ m)

Accepted Answer

The answer of A Young's double-slit apparatus is set up....

Question 6

A single-slit diffraction pattern is produced from a light source of wavelength 580 nm. The light goes through a single slit and onto a screen 1.0 m away. The first dark fringe is 5.8 mm from the central bright fringe. What is the slit width? (1 nm = 10 ^- ⁹ m)

Accepted Answer

The answer of A single-slit diffraction pattern is produced from...

Question 7

In a Young's double-slit experiment, how many maxima occur between the m = +3 and m = -3 maxima?

Accepted Answer

The answer of In a Young's double-slit experiment, how many...

Question 8

A Young's double-slit apparatus is set up so that a screen is positioned 1.6 m from the double slits, and the spacing between the two slits is 0.0315 mm. What is the distance between alternating bright fringes on the screen if the light source has a wavelength of 630 nm? (1 nm = 10 ^- ⁹ m)

Accepted Answer

The answer of A Young's double-slit apparatus is set up...

Question 9

In a Young's experiment, the paths from the slits to a point on the screen differ in length, causing constructive interference at the point. Which of the following path differences would cause this constructive interference?

Accepted Answer

Constructive interference occurs when the path difference is an integer multiple of the wavelength, i.e., nλ, where n is an integer. Option B, 3λ, satisfies this condition.

Question 10

In a Young's double-slit interference apparatus, by what factor is the distance between adjacent light and dark fringes changed when the separation between slits is tripled?

Accepted Answer

The answer of In a Young's double-slit interference apparatus, by...

Question 11

In a Young's experiment, the paths from the slits to a point on the screen differ in length, causing destructive interference at the point. Which of the following path differences would cause this destructive interference?

Accepted Answer

Destructive interference occurs when the path difference is an odd multiple of half-wavelengths, such as (n + 1/2)λ, where n is an integer. 3λ/2 fits this condition.

Question 12

After light from a source passes through two slits, a m = 1 bright spot is seen on the wall at point P. Which distance is equal to the wavelength of the light?

Accepted Answer

The answer of After light from a source passes through...

Question 13

A light source simultaneously emits light of two wavelengths, 480 nm and 560 nm, respectively. The source is used in a double-slit interference experiment where the slit spacing is a 0.040 mm, and the distance between double slits and the screen is 1.6 m. What is the separation between the m = 3 bright fringes of the two wavelengths as they appear on the screen? (1 nm = 10 ^- ⁹m)

Accepted Answer

The separation between the m = 3 bright fringes of the two wavelengths is given by:$$\Delta y = \frac{m\lambda D}{d}$$where:* m is the order of the bright fringe* λ is the wavelength of light* D is the distance between the double slits and the screen* d is the slit spacingFor the 480 nm wavelength, the separation is:$$\Delta y_1 = \frac{3(480 	imes 10^{-9} 	ext{ m})(1.6 	ext{ m})}{0.040 	imes 10^{-3} 	ext{ m}} = 0.0192 	ext{ m} = 1.92 	ext{ cm}$$For the 560 nm wavelength, the separation is:$$\Delta y_2 = \frac{3(560 	imes 10^{-9} 	ext{ m})(1.6 	ext{ m})}{0.040 	imes 10^{-3} 	ext{ m}} = 0.0224 	ext{ m} = 2.24 	ext{ cm}$$The separation between the two bright fringes is:$$\Delta y = \Delta y_2 - \Delta y_1 = 2.24 	ext{ cm} - 1.92 	ext{ cm} = 0.32 	ext{ cm}$$Therefore, the correct answer is A.

Question 14

A Young's double-slit apparatus is set up where a screen is positioned 0.80 m from the double slits. If the distance between alternating bright fringes is 0.83 cm, and the light source has a wavelength of 580 nm, what is the separation of the double slits? (1 nm = 10 ^- ⁹ m)

Accepted Answer

The answer of A Young's double-slit apparatus is set up...

Question 15

If the m = 2 fringe in Young's double-slit experiment occurs at an angle of 45.0°, what is the relationship between the wavelength $\lambda$ and the distance between slits, d?

Accepted Answer

In Young's double-slit experiment, the condition for constructive interference is d*sin(θ) = m*λ. For m = 2 and θ = 45°, d*sin(45°) = 2*λ. Since sin(45°) = √2/2, d*(√2/2) = 2*λ, which simplifies to d = 2.83λ.

Question 16

Laser light sent through a double slit produces an interference pattern on a screen 3.00 m from the slits. If the m = 2 maximum occurs at an angle of 10.7°, at what angle does the m = 8 maximum occur?

Accepted Answer

The answer of Laser light sent through a double slit...

Question 17

A Young's interference experiment is conducted with blue-green argon laser light ($\lambda$ = 515 nm). The separation between the slits is 0.50 mm, and the interference pattern appears on a screen 4.95 m away. What is the spacing between the bright fringes? (1 nm = 10 ^- ⁹ m)

Accepted Answer

The answer of A Young's interference experiment is conducted with...

Question 18

Light of wavelength 540 nm is incident on a slit of width 0.150 mm, and a diffraction pattern is produced on a screen that is 3.00 m from the slit. What is the width of the central bright fringe? (1 nm = 10 ^- ⁹ m)

Accepted Answer

The answer of Light of wavelength 540 nm is incident...

Question 19

Light of wavelength 610 nm is incident on a slit of width 0.20 mm, and a diffraction pattern is produced on a screen that is 2.0 m from the slit. What is the distance of the second dark fringe from the center of the central bright fringe? (1 nm = 10 ^- ⁹ m)

Accepted Answer

The position of the dark fringes in a single-slit diffraction pattern is given by the formula $ y = \frac{m \lambda L}{a} $, where $ m $ is the order of the dark fringe, $ \lambda $ is the wavelength, $ L $ is the distance to the screen, and $ a $ is the slit width. For the second dark fringe ($ m = 2 $), $ y = \frac{2 \times 610 \times 10^{-9} \times 2}{0.20 \times 10^{-3}} \approx 0.0122 $ m or 1.22 cm, which is closest to 1.2 cm.

Question 20

In a Young's double-slit interference apparatus, by what factor is the distance between adjacent light and dark fringes changed when the wavelength of the source is doubled?

Accepted Answer

The fringe spacing in a double-slit interference pattern is directly proportional to the wavelength of the light used. Therefore, if the wavelength is doubled, the distance between adjacent fringes is also doubled.

Quiz 25: Wave Optics

In the straight-ahead direction ( $\theta$ = 0°) in single-slit diffraction, which of the following is observed on the screen?

A Young's double-slit apparatus is set up. A screen is positioned 1.16 m from the double slits, and the spacing between the two slits is 0.0500 mm. The distance between alternating bright fringes is 1.42 cm. What is the light source wavelength? (1 nm = 10 ^- ⁹ m)

Helium-neon laser light ( $\lambda$ = 632.8 nm) is sent through a single slit of width 0.41 mm. What is the width of the central maximum on a screen 1.0 m in back of the slit? (1 nm = 10 ^- ⁹ m)

In a Young's double-slit experiment, by how many wavelengths do the paths from the slits to the screen differ for the m = 3 and the m = 8 minima?

A Young's double-slit apparatus is set up. The source wavelength is 430 nm, and the double-slit spacing is 0.040 mm. At what distance from the double slits should the screen be placed if the spacing between alternating bright fringes is to be 2.6 cm? (1 nm = 10 ^- ⁹ m)

A single-slit diffraction pattern is produced from a light source of wavelength 580 nm. The light goes through a single slit and onto a screen 1.0 m away. The first dark fringe is 5.8 mm from the central bright fringe. What is the slit width? (1 nm = 10 ^- ⁹ m)

In a Young's double-slit experiment, how many maxima occur between the m = +3 and m = -3 maxima?

A Young's double-slit apparatus is set up so that a screen is positioned 1.6 m from the double slits, and the spacing between the two slits is 0.0315 mm. What is the distance between alternating bright fringes on the screen if the light source has a wavelength of 630 nm? (1 nm = 10 ^- ⁹ m)

In a Young's experiment, the paths from the slits to a point on the screen differ in length, causing constructive interference at the point. Which of the following path differences would cause this constructive interference?

In a Young's double-slit interference apparatus, by what factor is the distance between adjacent light and dark fringes changed when the separation between slits is tripled?

In a Young's experiment, the paths from the slits to a point on the screen differ in length, causing destructive interference at the point. Which of the following path differences would cause this destructive interference?

After light from a source passes through two slits, a m = 1 bright spot is seen on the wall at point P. Which distance is equal to the wavelength of the light?

A Young's double-slit apparatus is set up where a screen is positioned 0.80 m from the double slits. If the distance between alternating bright fringes is 0.83 cm, and the light source has a wavelength of 580 nm, what is the separation of the double slits? (1 nm = 10 ^- ⁹ m)

If the m = 2 fringe in Young's double-slit experiment occurs at an angle of 45.0°, what is the relationship between the wavelength $\lambda$ and the distance between slits, d?

Laser light sent through a double slit produces an interference pattern on a screen 3.00 m from the slits. If the m = 2 maximum occurs at an angle of 10.7°, at what angle does the m = 8 maximum occur?

A Young's interference experiment is conducted with blue-green argon laser light ( $\lambda$ = 515 nm) . The separation between the slits is 0.50 mm, and the interference pattern appears on a screen 4.95 m away. What is the spacing between the bright fringes? (1 nm = 10 ^- ⁹ m)

Light of wavelength 540 nm is incident on a slit of width 0.150 mm, and a diffraction pattern is produced on a screen that is 3.00 m from the slit. What is the width of the central bright fringe? (1 nm = 10 ^- ⁹ m)

Light of wavelength 610 nm is incident on a slit of width 0.20 mm, and a diffraction pattern is produced on a screen that is 2.0 m from the slit. What is the distance of the second dark fringe from the center of the central bright fringe? (1 nm = 10 ^- ⁹ m)

In a Young's double-slit interference apparatus, by what factor is the distance between adjacent light and dark fringes changed when the wavelength of the source is doubled?

Quiz 25: Wave Optics

In the straight-ahead direction ( θ\thetaθ = 0°) in single-slit diffraction, which of the following is observed on the screen?

A Young's double-slit apparatus is set up. A screen is positioned 1.16 m from the double slits, and the spacing between the two slits is 0.0500 mm. The distance between alternating bright fringes is 1.42 cm. What is the light source wavelength? (1 nm = 10 - 9 m)

Helium-neon laser light ( λ\lambdaλ = 632.8 nm) is sent through a single slit of width 0.41 mm. What is the width of the central maximum on a screen 1.0 m in back of the slit? (1 nm = 10 - 9 m)

In a Young's double-slit experiment, by how many wavelengths do the paths from the slits to the screen differ for the m = 3 and the m = 8 minima?

A Young's double-slit apparatus is set up. The source wavelength is 430 nm, and the double-slit spacing is 0.040 mm. At what distance from the double slits should the screen be placed if the spacing between alternating bright fringes is to be 2.6 cm? (1 nm = 10 - 9 m)

A single-slit diffraction pattern is produced from a light source of wavelength 580 nm. The light goes through a single slit and onto a screen 1.0 m away. The first dark fringe is 5.8 mm from the central bright fringe. What is the slit width? (1 nm = 10 - 9 m)

In a Young's double-slit experiment, how many maxima occur between the m = +3 and m = -3 maxima?

A Young's double-slit apparatus is set up so that a screen is positioned 1.6 m from the double slits, and the spacing between the two slits is 0.0315 mm. What is the distance between alternating bright fringes on the screen if the light source has a wavelength of 630 nm? (1 nm = 10 - 9 m)

In a Young's experiment, the paths from the slits to a point on the screen differ in length, causing constructive interference at the point. Which of the following path differences would cause this constructive interference?

In a Young's double-slit interference apparatus, by what factor is the distance between adjacent light and dark fringes changed when the separation between slits is tripled?

In a Young's experiment, the paths from the slits to a point on the screen differ in length, causing destructive interference at the point. Which of the following path differences would cause this destructive interference?

After light from a source passes through two slits, a m = 1 bright spot is seen on the wall at point P. Which distance is equal to the wavelength of the light?

A Young's double-slit apparatus is set up where a screen is positioned 0.80 m from the double slits. If the distance between alternating bright fringes is 0.83 cm, and the light source has a wavelength of 580 nm, what is the separation of the double slits? (1 nm = 10 - 9 m)

If the m = 2 fringe in Young's double-slit experiment occurs at an angle of 45.0°, what is the relationship between the wavelength λ\lambdaλ and the distance between slits, d?

Laser light sent through a double slit produces an interference pattern on a screen 3.00 m from the slits. If the m = 2 maximum occurs at an angle of 10.7°, at what angle does the m = 8 maximum occur?

A Young's interference experiment is conducted with blue-green argon laser light ( λ\lambdaλ = 515 nm) . The separation between the slits is 0.50 mm, and the interference pattern appears on a screen 4.95 m away. What is the spacing between the bright fringes? (1 nm = 10 - 9 m)

Light of wavelength 540 nm is incident on a slit of width 0.150 mm, and a diffraction pattern is produced on a screen that is 3.00 m from the slit. What is the width of the central bright fringe? (1 nm = 10 - 9 m)

Light of wavelength 610 nm is incident on a slit of width 0.20 mm, and a diffraction pattern is produced on a screen that is 2.0 m from the slit. What is the distance of the second dark fringe from the center of the central bright fringe? (1 nm = 10 - 9 m)

In a Young's double-slit interference apparatus, by what factor is the distance between adjacent light and dark fringes changed when the wavelength of the source is doubled?

In the straight-ahead direction ( $\theta$ = 0°) in single-slit diffraction, which of the following is observed on the screen?

A Young's double-slit apparatus is set up. A screen is positioned 1.16 m from the double slits, and the spacing between the two slits is 0.0500 mm. The distance between alternating bright fringes is 1.42 cm. What is the light source wavelength? (1 nm = 10 ^- ⁹ m)

Helium-neon laser light ( $\lambda$ = 632.8 nm) is sent through a single slit of width 0.41 mm. What is the width of the central maximum on a screen 1.0 m in back of the slit? (1 nm = 10 ^- ⁹ m)

A Young's double-slit apparatus is set up. The source wavelength is 430 nm, and the double-slit spacing is 0.040 mm. At what distance from the double slits should the screen be placed if the spacing between alternating bright fringes is to be 2.6 cm? (1 nm = 10 ^- ⁹ m)

A single-slit diffraction pattern is produced from a light source of wavelength 580 nm. The light goes through a single slit and onto a screen 1.0 m away. The first dark fringe is 5.8 mm from the central bright fringe. What is the slit width? (1 nm = 10 ^- ⁹ m)

A Young's double-slit apparatus is set up so that a screen is positioned 1.6 m from the double slits, and the spacing between the two slits is 0.0315 mm. What is the distance between alternating bright fringes on the screen if the light source has a wavelength of 630 nm? (1 nm = 10 ^- ⁹ m)

A Young's double-slit apparatus is set up where a screen is positioned 0.80 m from the double slits. If the distance between alternating bright fringes is 0.83 cm, and the light source has a wavelength of 580 nm, what is the separation of the double slits? (1 nm = 10 ^- ⁹ m)

If the m = 2 fringe in Young's double-slit experiment occurs at an angle of 45.0°, what is the relationship between the wavelength $\lambda$ and the distance between slits, d?

A Young's interference experiment is conducted with blue-green argon laser light ( $\lambda$ = 515 nm) . The separation between the slits is 0.50 mm, and the interference pattern appears on a screen 4.95 m away. What is the spacing between the bright fringes? (1 nm = 10 ^- ⁹ m)

Light of wavelength 540 nm is incident on a slit of width 0.150 mm, and a diffraction pattern is produced on a screen that is 3.00 m from the slit. What is the width of the central bright fringe? (1 nm = 10 ^- ⁹ m)

Light of wavelength 610 nm is incident on a slit of width 0.20 mm, and a diffraction pattern is produced on a screen that is 2.0 m from the slit. What is the distance of the second dark fringe from the center of the central bright fringe? (1 nm = 10 ^- ⁹ m)