Question 1

A single-slit experiment uses light of wavelength 720. nm with a slit separation of 0.250 mm and a screen placed 2.7 m away.
(a) What is the angular width of the central fringe?
(b) What is the linear width of the central fringe on the screen?
(c) What is the linear distance on the screen between the central maximum and the 1st order maximum?

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Question 2

In a diffraction experiment, light of 600. nm wavelength produces a first-order maximum 0.350 mm from the central maximum on a distant screen. A second monochromatic source produces a third-order maximum 0.870 mm from the central maximum when it passes through the same diffraction grating. What is the wavelength of the light from the second source?

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Question 3

In Young's two-slit experiment, the distance between the slits and the screen is 1.10 m and the distance between the slits is 0.0400 mm. If the second order bright fringe is measured to be 4.20 cm from the centerline, what is the wavelength of light?
A) 200 nm
B) 381 nm
C) 401 nm
D) 620 nm
E) 763 nm

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Question 4

A single slit, which is 0.0500 mm wide, is illuminated by light of 550. nm wavelength. What is the angular separation between the first two minima on either side of the central maximum?

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Question 5

Consider two diffraction gratings with the same slit separation, the only difference being that one grating has 3 slits and the other 4 slits. If both gratings are illuminated with a beam of the same monochromatic light, make a statement concerning the separation between the orders.
A) The grating with 3 slits produces the greater separation between orders.
B) The grating with 4 slits produces the greater separation between orders.
C) Both gratings produce the same separation between orders.
D) Both gratings produce the same separation between orders, but the orders are better defined with the 4-slit grating.

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Question 6

In the two-slit experiment, the distance between the slits and the screen is 1.10 m and the distance between the slits is 0.100 mm. If the first-order bright fringe is measured to be 3.40 cm from the centerline, what is the wavelength of light?
A) 354 nm
B) 241 nm
C) 133 nm
D) 3.10 μm
E) 2.11 μm

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Question 7

In the two-slit experiment, monochromatic light of wavelength 600 nm passes through a pair of slits separated by 2.20 × 10^-5 m. What is the angle corresponding to the second dark fringe? A) 4.70° B) 3.51° C) 3.94° D) 1.17° E) 2.35°

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Question 8

A diffraction grating has 6000. lines per centimeter ruled on it. What is the angular separation between the second and the third orders on the same side of the central order when the grating is illuminated with a beam of light of wavelength 550. nm?

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Question 9

A soap bubble has an index of refraction of 1.33. What minimum thickness of this bubble will ensure maximum reflectance of normally incident 530. nm wavelength light?

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Question 10

In a double-slit experiment, the slit separation is 2.0 mm, and two wavelengths, 750. nm and 900. nm, illuminate the slits. A screen is placed 2.0 m from the slits. At what distance from the central maximum on the screen will a bright fringe from one pattern first coincide with a bright fringe from the other?

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Question 11

Light of wavelength 0.50 μm illuminates a soap film (n = 1.33). What is the minimum thickness of film that will give an interference when the light is incident normally on it?

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Question 12

When red light illuminates a grating with 7000. lines per centimeter, its second maximum is at 62.4°. What is the wavelength of the light?

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Question 13

Consider a diffraction grating with 7000. lines/cm with a screen 2.50 m away and 440. nm wavelength light.
(a) How many side maxima would be observed on one side of the central maximum?
(b) What is the linear distance between the 1st and 2nd maxima?

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Question 14

In the two-slit experiment, the distance between the slits and the screen is 1.1 m and the distance between the slits is 0.040 mm. If the first-order bright fringe is measured to be 3.4 cm from the centerline, what is the distance between the adjacent bright fringes?
A) 1.7 cm
B) 5.1 cm
C) 7.0 cm
D) 6.8 cm
E) 3.4 cm

Accepted Answer

The distance between adjacent bright fringes (fringe spacing) is the same as the distance from the centerline to the first-order bright fringe, which is 3.4 cm.

Question 15

In a two-slit experiment a third order bright fringe is observed at an angle of 7.10°. If the wavelength of light is 595 nm, what is the slit separation? A) 1.44 × 10^-5 m B) 1.07 × 10^-5 m C) 2.12 × 10^-5 m D) 2.53 × 10^-5 m E) 3.76 × 10^-5 m

Accepted Answer

The correct answer is A because the slit separation is given by the formula d = (m * lambda) / sin(theta), where m is the order of the bright fringe, lambda is the wavelength of light, and theta is the angle of the bright fringe. Plugging in the given values, we get d = (3 * 595 nm) / sin(7.10°) = 1.44 × 10^-5 m.

Question 16

Light of wavelength λ = 540 nm passes through a pair of slits with separation 3.4 × 10^-5 m. What is the angle corresponding to the second bright fringe? A) 1.8° B) 3.7° C) 4.3° D) 1.5° E) 5.0°

Accepted Answer

The angle for the m-th bright fringe in a double-slit experiment is given by the formula d * sin(θ) = m * λ. For the second bright fringe (m=2), using d = 3.4 × 10^-5 m and λ = 540 nm = 540 × 10^-9 m, we solve for θ: sin(θ) = (2 * 540 × 10^-9 m) / (3.4 × 10^-5 m). This gives θ ≈ 1.8°.

Question 17

In the two-slit experiment, monochromatic light of wavelength 600 nm passes through a pair of slits separated by 2.20 × 10^-5 m. What is the angle corresponding to the first bright fringe? A) 1.56° B) 2.22° C) 3.12° D) 4.70° E) 6.24°

Accepted Answer

The angle for the first bright fringe in a two-slit experiment is given by the formula $ \sin \theta = \frac{m\lambda}{d} $, where $ m = 1 $ for the first bright fringe, $ \lambda = 600 \times 10^{-9} $ m, and $ d = 2.20 \times 10^{-5} $ m. Solving gives $ \theta \approx 1.56^\circ $.

Question 18

A double-slit experiment uses light of wavelength 633. nm with a slit separation of 0.100 mm and a screen placed 2.0 m away.
(a) What is the linear width of the central fringe?
(b) What is the lateral distance between 1st and 2nd order fringes?
(c) What is the angular separation between the central maximum and the 1st order maximum?

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Question 19

In Young's two-slit experiment, the distance between the slits and the screen is 1.1 m and the distance between the slits is 0.040 mm. If the second order bright fringe is measured to be 4.2 cm from the centerline, what is the distance between the adjacent fringes?
A) 6.3 cm
B) 3.1 cm
C) 1.3 cm
D) 2.1 cm
E) 4.2 cm

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Question 20

In a two-slit experiment, the slit separation is 3.00 × 10^-5 m. The interference pattern is created on a screen that is 2.00 m away from the slits. If the 7th bright fringe on the screen is a linear distance of 10.0 cm away from the central fringe, what is the wavelength of the light? A) 100 nm B) 204 nm C) 214 nm D) 224 nm E) 234 nm

Accepted Answer

The distance between the bright fringes is given by:$$d = \frac{\lambda D}{d}$$where:d is the distance between the slitsD is the distance between the slits and the screenlambda is the wavelength of the lightWe are given that:d = 3.00 × 10^-5 mD = 2.00 mx = 10.0 cm = 0.100 mWe want to find:lambdaSubstituting the given values into the equation, we get:$$0.100 m = \frac{\lambda (2.00 m)}{3.00 	imes 10^{-5} m}$$Solving for lambda, we get:$$\lambda = 214 nm$$

Quiz 28: Physical Optics: Interference and Diffraction

In Young's two-slit experiment, the distance between the slits and the screen is 1.10 m and the distance between the slits is 0.0400 mm. If the second order bright fringe is measured to be 4.20 cm from the centerline, what is the wavelength of light?

A single slit, which is 0.0500 mm wide, is illuminated by light of 550. nm wavelength. What is the angular separation between the first two minima on either side of the central maximum?

Consider two diffraction gratings with the same slit separation, the only difference being that one grating has 3 slits and the other 4 slits. If both gratings are illuminated with a beam of the same monochromatic light, make a statement concerning the separation between the orders.

In the two-slit experiment, the distance between the slits and the screen is 1.10 m and the distance between the slits is 0.100 mm. If the first-order bright fringe is measured to be 3.40 cm from the centerline, what is the wavelength of light?

In the two-slit experiment, monochromatic light of wavelength 600 nm passes through a pair of slits separated by 2.20 × 10-5 m. What is the angle corresponding to the second dark fringe?

A diffraction grating has 6000. lines per centimeter ruled on it. What is the angular separation between the second and the third orders on the same side of the central order when the grating is illuminated with a beam of light of wavelength 550. nm?

A soap bubble has an index of refraction of 1.33. What minimum thickness of this bubble will ensure maximum reflectance of normally incident 530. nm wavelength light?

Light of wavelength 0.50 μm illuminates a soap film (n = 1.33). What is the minimum thickness of film that will give an interference when the light is incident normally on it?

When red light illuminates a grating with 7000. lines per centimeter, its second maximum is at 62.4°. What is the wavelength of the light?

Consider a diffraction grating with 7000. lines/cm with a screen 2.50 m away and 440. nm wavelength light. (a) How many side maxima would be observed on one side of the central maximum? (b) What is the linear distance between the 1st and 2nd maxima?

In the two-slit experiment, the distance between the slits and the screen is 1.1 m and the distance between the slits is 0.040 mm. If the first-order bright fringe is measured to be 3.4 cm from the centerline, what is the distance between the adjacent bright fringes?

In a two-slit experiment a third order bright fringe is observed at an angle of 7.10°. If the wavelength of light is 595 nm, what is the slit separation?

Light of wavelength λ = 540 nm passes through a pair of slits with separation 3.4 × 10-5 m. What is the angle corresponding to the second bright fringe?

In the two-slit experiment, monochromatic light of wavelength 600 nm passes through a pair of slits separated by 2.20 × 10-5 m. What is the angle corresponding to the first bright fringe?

In Young's two-slit experiment, the distance between the slits and the screen is 1.1 m and the distance between the slits is 0.040 mm. If the second order bright fringe is measured to be 4.2 cm from the centerline, what is the distance between the adjacent fringes?

In a two-slit experiment, the slit separation is 3.00 × 10-5 m. The interference pattern is created on a screen that is 2.00 m away from the slits. If the 7th bright fringe on the screen is a linear distance of 10.0 cm away from the central fringe, what is the wavelength of the light?

In the two-slit experiment, monochromatic light of wavelength 600 nm passes through a pair of slits separated by 2.20 × 10^-5 m. What is the angle corresponding to the second dark fringe?

Light of wavelength λ = 540 nm passes through a pair of slits with separation 3.4 × 10^-5 m. What is the angle corresponding to the second bright fringe?

In the two-slit experiment, monochromatic light of wavelength 600 nm passes through a pair of slits separated by 2.20 × 10^-5 m. What is the angle corresponding to the first bright fringe?

In a two-slit experiment, the slit separation is 3.00 × 10^-5 m. The interference pattern is created on a screen that is 2.00 m away from the slits. If the 7th bright fringe on the screen is a linear distance of 10.0 cm away from the central fringe, what is the wavelength of the light?