Question 1

A plastic cube is immersed in water having an index of refraction of 1.33.A laser beam in the plastic strikes the interface at an angle of 14.5° with the normal in the plastic.In the water,this beam makes an angle of 21.8° with the normal.What is the speed of light in the plastic cube? (c = 3.0 × 10⁸ m/s)

Accepted Answer

The answer of A plastic cube is immersed in water...

Question 2

A thin laser beam traveling in air strikes the surface of a glass plate at 41.2° with the normal.In the plate,this beam makes an angle of 22.4° with the normal.What is the speed of light in this glass?(c = 3.0 × 10⁸ m/s)

Accepted Answer

The answer of A thin laser beam traveling in air...

Question 3

The world's largest refracting telescope is operated at the Yerkes Observatory in Wisconsin.It has an objective lens of diameter of 1.02 m.Suppose such an instrument were mounted on a satellite at an elevation of 300 km above the ground and used to map surface details.If the telescope is forming images with light of wavelength 550 nm,what is the minimum separation of two objects on the ground whose separation could be clearly resolved by this lens?

Accepted Answer

The answer of The world's largest refracting telescope is operated...

Question 4

The speed of light in a certain material is measured to be 2.2 × 10⁸ m/s.What is the index of refraction of this material? (c = 3.0 × 10⁸ m/s)

Accepted Answer

The index of refraction, n, is defined as the ratio of the speed of light in a vacuum to the speed of light in the material, so we have:

n = c/v

where c is the speed of light in a vacuum and v is the speed of light in the material.

Plugging in the given values, we get:

n = (3.0 × 10^8 m/s) / (2.2 × 10^8 m/s)

n ≈ 1.36

Therefore, the closest answer choice is C (1.4).

Question 5

The index of refraction of a certain glass is measured to be 1.5.What is the speed of light in that glass? (c = 3.0 × 10⁸ m/s)

Accepted Answer

The speed of light in a medium is given by v = c/n, where c is the speed of light in vacuum and n is the index of refraction of the medium. So, v = (3.0 × 10^8 m/s)/(1.5) = 2.0 × 10^8 m/s. Therefore, the best choice is B.

Question 6

Even with perfect optics,what is the resolution limit (in radians)of the Hubble Space Telescope when it is focusing light of wavelength 400 nm? The mirror diameter is 2.4 m.

Accepted Answer

The answer of Even with perfect optics,what is the resolution...

Question 7

Light having a frequency in vacuum of 6.0 × 10¹⁴ Hz enters a liquid of refractive index 2.0.What is the frequency of the light in this liquid? (c = 3.0 × 10⁸ m/s)

Accepted Answer

The frequency of light does not change when it enters a medium with a different refractive index; only its speed and wavelength change.

Question 8

Red light with a wavelength of 650 nm travels from air into a liquid with an index of 1.33.What are the frequency and wavelength of the light in the liquid? (c = 3.0 × 10⁸ m/s)

Accepted Answer

The answer of Red light with a wavelength of 650...

Question 9

What is the minimum distance between two points on the Moon that could be just resolved by the Keck telescope in Hawaii using a wavelength of 600 nm and having perfect optics? The diameter of this telescope mirror system is 10 m,and the distance to the Moon is 380,000 km.

Accepted Answer

The answer of What is the minimum distance between two...

Question 10

Light of wavelength 550 nm in air is found to travel at 1.96 × 10⁸ m/s in a certain liquid.What are the frequency and wavelength of the light in this liquid? (c = 3.0 × 10⁸ m/s)

Accepted Answer

The answer of Light of wavelength 550 nm in air...

Question 11

Light having a speed in vacuum of 3.0 × 10⁸ m/s enters a liquid of refractive index 2.0.In this liquid,its speed will be

Accepted Answer

The speed of light in a medium with refractive index n is given by v = c/n, where c is the speed of light in a vacuum. Thus, in this liquid, the speed of light will be v = c/2.0 = (3.0 × 10^8 m/s)/2.0 = 1.5 × 10^8 m/s. Therefore, the correct answer is C) 1.5 × 10^8 m/s.

Question 12

A light beam having a wavelength of 470 nm in air is directed into glycerine at an angle of 75.0° with the normal in air.Glycerine has a refractive index of 1.47.(c = 3.0 × 10⁸ m/s) (a)What are the frequency and wavelength of the light in the glycerine? (b)What angle does the light beam make with the normal in the glycerine?

Accepted Answer

The answer of A light beam having a wavelength of...

Question 13

Light having a wavelength in vacuum of 600 nm enters a liquid of refractive index 2.0.In this liquid,what is the wavelength of the light? (c = 3.0 × 10⁸ m/s)

Accepted Answer

The wavelength of light in a medium is given by the formula $\lambda' = \frac{\lambda}{n}$, where $\lambda$ is the wavelength in vacuum and $n$ is the refractive index of the medium. Given $\lambda = 600$ nm and $n = 2.0$, $\lambda' = \frac{600}{2} = 300$ nm.

Question 14

Treat the pupil of your eye as a circular aperture of diameter 3.5 mm.Light of wavelength 500 nm is used to view two point sources that are 283 m distant from you.How far apart must these two point sources be if they are to be just barely resolved by your eye,assuming that the resolution is limited by diffraction?

Accepted Answer

The answer of Treat the pupil of your eye as...

Question 15

The speed of light in a material is $0.41 \mathrm { c }$ What is the critical angle of a light ray at the interface between the material and a vacuum?

Accepted Answer

The critical angle can be found using Snell's Law: $ n_1 \sin(\theta_c) = n_2 \sin(90^\circ) $. Here, $ n_1 = \frac{c}{0.41c} \approx 2.44 $ and $ n_2 = 1 $. Solving for $\theta_c$, $\sin(\theta_c) = \frac{1}{2.44} \approx 0.41$, which gives $\theta_c \approx 24^\circ$.

Question 16

Light of wavelength 550 nm in air is found to travel at 1.96 × 10⁸ m/s in a certain liquid.(c = 3.0 × 10⁸ m/s) (a)What is the index of refraction of this liquid? (b)What is the frequency of the light in air?

Accepted Answer

The answer of Light of wavelength 550 nm in air...

Question 17

If a sheet containing a single thin slit is heated (without damaging it)and therefore expands,what happens to the width of the central bright diffraction region on a distant screen?

Accepted Answer

The width of the central bright diffraction region is directly proportional to the width of the slit. As the sheet expands due to heating, the slit width will also expand, resulting in a wider central bright diffraction region on the screen.

Question 18

If a sheet containing a single slit is heated (without damaging it)and therefore expands,what happens to the angular location of the first-order diffraction minimum?

Accepted Answer

When the slit in the sheet expands due to heating, the width of the slit increases. According to the formula for diffraction minima, $d\sin\theta = m\lambda$, where $d$ is the slit width, $\theta$ is the angle to the minimum, $m$ is the order of the minimum, and $\lambda$ is the wavelength of light, an increase in $d$ results in a decrease in $\sin\theta$ for a given $m$ and $\lambda$, meaning $\theta$ decreases. Therefore, the angular location of the first-order diffraction minimum moves toward the centerline.

Question 19

A light beam with wavelength 440 nm in a certain material then enters air and its wavelength becomes 577 nm.
(a)What is the index of refraction for the material?
(b)At what angle with the plane of the surface will the light be totally reflected back into the material?

Accepted Answer

The answer of A light beam with wavelength 440 nm...

Question 20

A thick slab of plastic lies at the bottom of a tank filled with water having an index of refraction of 1.33.A narrow laser beam is shone directly downward through the water on the plastic.You then gradually rotate the laser,thereby increasing the angle with respect to the normal that it strikes the plastic.You carefully note that at the instant the beam makes an angle of 66.5° with the normal in the water,no light enters the plastic,but it did enter for angles smaller than that.What is the speed of light in the plastic slab? (c = 3.00 × 10⁸ m/s)

Accepted Answer

The answer of A thick slab of plastic lies at...

Quiz 24: Wave Optics

A thin laser beam traveling in air strikes the surface of a glass plate at 41.2° with the normal.In the plate,this beam makes an angle of 22.4° with the normal.What is the speed of light in this glass?(c = 3.0 × 10⁸ m/s)

The speed of light in a certain material is measured to be 2.2 × 10⁸ m/s.What is the index of refraction of this material? (c = 3.0 × 10⁸ m/s)

The index of refraction of a certain glass is measured to be 1.5.What is the speed of light in that glass? (c = 3.0 × 10⁸ m/s)

Even with perfect optics,what is the resolution limit (in radians)of the Hubble Space Telescope when it is focusing light of wavelength 400 nm? The mirror diameter is 2.4 m.

Light having a frequency in vacuum of 6.0 × 10¹⁴ Hz enters a liquid of refractive index 2.0.What is the frequency of the light in this liquid? (c = 3.0 × 10⁸ m/s)

Red light with a wavelength of 650 nm travels from air into a liquid with an index of 1.33.What are the frequency and wavelength of the light in the liquid? (c = 3.0 × 10⁸ m/s)

What is the minimum distance between two points on the Moon that could be just resolved by the Keck telescope in Hawaii using a wavelength of 600 nm and having perfect optics? The diameter of this telescope mirror system is 10 m,and the distance to the Moon is 380,000 km.

Light of wavelength 550 nm in air is found to travel at 1.96 × 10⁸ m/s in a certain liquid.What are the frequency and wavelength of the light in this liquid? (c = 3.0 × 10⁸ m/s)

Light having a speed in vacuum of 3.0 × 10⁸ m/s enters a liquid of refractive index 2.0.In this liquid,its speed will be

Light having a wavelength in vacuum of 600 nm enters a liquid of refractive index 2.0.In this liquid,what is the wavelength of the light? (c = 3.0 × 10⁸ m/s)

The speed of light in a material is $0.41 \mathrm { c }$ What is the critical angle of a light ray at the interface between the material and a vacuum?

Light of wavelength 550 nm in air is found to travel at 1.96 × 10⁸ m/s in a certain liquid.(c = 3.0 × 10⁸ m/s) (a)What is the index of refraction of this liquid? (b)What is the frequency of the light in air?

If a sheet containing a single thin slit is heated (without damaging it) and therefore expands,what happens to the width of the central bright diffraction region on a distant screen?

If a sheet containing a single slit is heated (without damaging it) and therefore expands,what happens to the angular location of the first-order diffraction minimum?

A light beam with wavelength 440 nm in a certain material then enters air and its wavelength becomes 577 nm. (a)What is the index of refraction for the material? (b)At what angle with the plane of the surface will the light be totally reflected back into the material?

Quiz 24: Wave Optics

A thin laser beam traveling in air strikes the surface of a glass plate at 41.2° with the normal.In the plate,this beam makes an angle of 22.4° with the normal.What is the speed of light in this glass?(c = 3.0 × 108 m/s)

The speed of light in a certain material is measured to be 2.2 × 108 m/s.What is the index of refraction of this material? (c = 3.0 × 108 m/s)

The index of refraction of a certain glass is measured to be 1.5.What is the speed of light in that glass? (c = 3.0 × 108 m/s)

Even with perfect optics,what is the resolution limit (in radians)of the Hubble Space Telescope when it is focusing light of wavelength 400 nm? The mirror diameter is 2.4 m.

Light having a frequency in vacuum of 6.0 × 1014 Hz enters a liquid of refractive index 2.0.What is the frequency of the light in this liquid? (c = 3.0 × 108 m/s)

Red light with a wavelength of 650 nm travels from air into a liquid with an index of 1.33.What are the frequency and wavelength of the light in the liquid? (c = 3.0 × 108 m/s)

What is the minimum distance between two points on the Moon that could be just resolved by the Keck telescope in Hawaii using a wavelength of 600 nm and having perfect optics? The diameter of this telescope mirror system is 10 m,and the distance to the Moon is 380,000 km.

Light of wavelength 550 nm in air is found to travel at 1.96 × 108 m/s in a certain liquid.What are the frequency and wavelength of the light in this liquid? (c = 3.0 × 108 m/s)

Light having a speed in vacuum of 3.0 × 108 m/s enters a liquid of refractive index 2.0.In this liquid,its speed will be

Light having a wavelength in vacuum of 600 nm enters a liquid of refractive index 2.0.In this liquid,what is the wavelength of the light? (c = 3.0 × 108 m/s)

The speed of light in a material is 0.41c0.41 \mathrm { c }0.41c What is the critical angle of a light ray at the interface between the material and a vacuum?

Light of wavelength 550 nm in air is found to travel at 1.96 × 108 m/s in a certain liquid.(c = 3.0 × 108 m/s) (a)What is the index of refraction of this liquid? (b)What is the frequency of the light in air?

If a sheet containing a single thin slit is heated (without damaging it) and therefore expands,what happens to the width of the central bright diffraction region on a distant screen?

If a sheet containing a single slit is heated (without damaging it) and therefore expands,what happens to the angular location of the first-order diffraction minimum?

A light beam with wavelength 440 nm in a certain material then enters air and its wavelength becomes 577 nm. (a)What is the index of refraction for the material? (b)At what angle with the plane of the surface will the light be totally reflected back into the material?

A thin laser beam traveling in air strikes the surface of a glass plate at 41.2° with the normal.In the plate,this beam makes an angle of 22.4° with the normal.What is the speed of light in this glass?(c = 3.0 × 10⁸ m/s)

The speed of light in a certain material is measured to be 2.2 × 10⁸ m/s.What is the index of refraction of this material? (c = 3.0 × 10⁸ m/s)

The index of refraction of a certain glass is measured to be 1.5.What is the speed of light in that glass? (c = 3.0 × 10⁸ m/s)

Light having a frequency in vacuum of 6.0 × 10¹⁴ Hz enters a liquid of refractive index 2.0.What is the frequency of the light in this liquid? (c = 3.0 × 10⁸ m/s)

Red light with a wavelength of 650 nm travels from air into a liquid with an index of 1.33.What are the frequency and wavelength of the light in the liquid? (c = 3.0 × 10⁸ m/s)

Light of wavelength 550 nm in air is found to travel at 1.96 × 10⁸ m/s in a certain liquid.What are the frequency and wavelength of the light in this liquid? (c = 3.0 × 10⁸ m/s)

Light having a speed in vacuum of 3.0 × 10⁸ m/s enters a liquid of refractive index 2.0.In this liquid,its speed will be

Light having a wavelength in vacuum of 600 nm enters a liquid of refractive index 2.0.In this liquid,what is the wavelength of the light? (c = 3.0 × 10⁸ m/s)

The speed of light in a material is $0.41 \mathrm { c }$ What is the critical angle of a light ray at the interface between the material and a vacuum?

Light of wavelength 550 nm in air is found to travel at 1.96 × 10⁸ m/s in a certain liquid.(c = 3.0 × 10⁸ m/s) (a)What is the index of refraction of this liquid? (b)What is the frequency of the light in air?