Question 1

A diffraction grating with 4000 lines/cm is illuminated by light from the sun. The solar spectrum is spread out on a white wall across the room. At what angle from the center line does blue light (400 nm) appear? At what angle from the center line does red light (650 nm) appear?

Accepted Answer

The answer of A diffraction grating with 4000 lines/cm is...

Question 2

The spacing between reflecting planes in a crystal is 2.82 × 10−¹⁰ m. A beam of X-rays is strongly reflected at an angle of 160° with the crystal face. What is the wavelength of the X-rays?

Accepted Answer

The answer of The spacing between reflecting planes in a...

Question 3

Light strikes a flat water surface (n = 1.333) at the Brewster angle. Calculate the angle between the reflected and the refracted ray.

Accepted Answer

The answer of Light strikes a flat water surface (n...

Question 4

Jane's flashy boy friend has just given her a ring with a huge "diamond". Jane, who has studied physics, measures the polarizing angle for the stone and finds that the polarizing angle is 62.97°. The stone is
A) fluoride, n = 1.560.
B) crown glass, n = 1.517.
C) spinel, n = 1.712.
D) zircon, n = 1.960.
E) diamond, n = 2.417.

Accepted Answer

The answer of Jane's flashy boy friend has just given...

Question 5

A single slit of width a is illuminated by light of wavelength λ. If a = 4.3λ, the maximum number of dark fringes on a semi-circular screen surrounding the slit is
A) 2.
B) 4.
C) 6.
D) 8.
E) 9.

Accepted Answer

The number of dark fringes in a diffraction pattern is given by the formula:
n = (2a/λ) sinθ
where n is the number of dark fringes, a is the width of the slit, λ is the wavelength of light, and θ is the angle between the central maximum and the nth dark fringe. 
For a semi-circular screen surrounding the slit, the angle θ is π/2. 
Thus, n = (2a/λ) sin(π/2) = 2a/λ 
Substituting a = 4.3λ, we get n = 8.6. 
Since the number of fringes must be an integer, the maximum number of fringes on the screen is 8, so the answer is D.

Question 6

Suppose a 5.0-meter diameter telescope were constructed on the dark side of the moon. The viewing there (except for brief periods of sunlight) would be excellent. As an example, what would be the separation between two objects that could just be resolved on the planet Mars in 500 nm light? [The distance to Mars at closest approach is 50 million miles.]

Accepted Answer

The answer of Suppose a 5.0-meter diameter telescope were constructed...

Question 7

Light from a helium-neon laser (λ = 632.8 nm) is incident upon a 0.200-mm wide slit. Find the total width of the central maximum 2.00 m from the slit.

Accepted Answer

The answer of Light from a helium-neon laser (λ =...

Quiz 38: Diffraction Patterns and Polarization

A diffraction grating with 4000 lines/cm is illuminated by light from the sun. The solar spectrum is spread out on a white wall across the room. At what angle from the center line does blue light (400 nm) appear? At what angle from the center line does red light (650 nm) appear?

The spacing between reflecting planes in a crystal is 2.82 × 10−10 m. A beam of X-rays is strongly reflected at an angle of 160° with the crystal face. What is the wavelength of the X-rays?

Light strikes a flat water surface (n = 1.333) at the Brewster angle. Calculate the angle between the reflected and the refracted ray.

Jane's flashy boy friend has just given her a ring with a huge "diamond". Jane, who has studied physics, measures the polarizing angle for the stone and finds that the polarizing angle is 62.97°. The stone is

A single slit of width a is illuminated by light of wavelength λ. If a = 4.3λ, the maximum number of dark fringes on a semi-circular screen surrounding the slit is

Light from a helium-neon laser (λ = 632.8 nm) is incident upon a 0.200-mm wide slit. Find the total width of the central maximum 2.00 m from the slit.

The spacing between reflecting planes in a crystal is 2.82 × 10−¹⁰ m. A beam of X-rays is strongly reflected at an angle of 160° with the crystal face. What is the wavelength of the X-rays?