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1. (a) What is the energy in joules of an x-ray photon with wavelength 6.15 10-9 m?

_____J

(b) Convert the energy to electron volts.

_____eV

(c) If more penetrating x-rays are desired, should the wavelength be increased or decreased?

_____

2. Find the energy of the following. Express your answers in units of electron volts, noting that 1 eV = 1.60 10-19 J.

(a) a photon having a frequency of 5.60 1017 Hz

_____eV

(b) a photon having a wavelength of 8.20 102 nm

_____eV

3. (a) Calculate the wavelength of light in vacuum that has a frequency of 1.0 1014 Hz.

_____m

(b) What is its wavelength in benzene? (The index of refraction of benzene is 1.501.)

_____m

(c) Calculate the energy of one photon of such light in vacuum. Express the answer in electron volts.

_____eV

(d) What is the properties of and effect on the energy of the photon when it enters the benzene? (Select all that apply.)

the energy is inversely proportional to the frequency

the energy goes down

the energy is not proportional to the frequency

the energy does not change

the energy is proportional to the frequency

the energy goes up

4. A ray of light travels from air into another medium, making an angle of θ1 = 45.0° with the normal as in the figure below.

(a) Find the angle of refraction θ2 if the second medium is fused quartz. (The index of refraction for fused quartz is 1.458.)

_____°

(b) Find the angle of refraction θ2 if the second medium is ice. (The index of refraction for ice is 1.309.)

_____°

(c) Find the angle of refraction θ2 if the second medium is sodium chloride. (The index of refraction for sodium chloride is 1.544.)

_____°

5. As shown in the figure below, a light ray is incident normal to on one face of a 30°-60°-90° block of zircon that is immersed in water.

(a) Determine the exit angle θ4 of the ray.

θ4 = ____°

(b) A substance is dissolved in the water to increase the index of refraction. At what value of n2 does total internal reflection cease at point P?

n2 = _____

6. A laser beam is incident at an angle of 28.6° to the vertical onto a solution of corn syrup in water.

(a) If the beam is refracted to 19.12° to the vertical, what is the index of refraction of the syrup solution?

_____

(b) Suppose the light is red, with wavelength 632.8 nm in a vacuum. Find its wavelength in the solution.

_____nm

(c) Find its frequency in the solution.

_____Hz

(d) Find its speed in the solution.

_____m/s

7. A ray of light is incident on the surface of a block of clear ice at an angle of 48.0° with the normal. Part of the light is reflected and part is refracted. Find the angle between the reflected and refracted light.

_____°

8. A laser beam is incident on a 45°--45°--90° prism perpendicular to one of its faces, as shown in the figure below. The transmitted beam that exits the hypotenuse of the prism makes an angle of θ = 23.9° with the direction of the incident beam. Find the index of refraction of the prism.

_____

9. The index of refraction for red light in water is 1.331 and that for blue light is 1.340. If a ray of white light enters the water at an angle of incidence of 66.25°, what are the underwater angles of refraction for the blue and red components of the light?

(a) blue component

_____°

(b) red component

_____°

10. For light of wavelength 589 nm, calculate the critical angles for the following substances when surrounded by air.

fused quartz _____°

flint glass _____°

zircon _____°

11. For light of wavelength 589 nm, calculate the critical angles for the following substances when surrounded by water.

fluorite _____°

flint glass _____°

zircon _____°

12. A light ray is incident normally to the long face (the hypotenuse) of a 45° -45° -90° prism surrounded by air, as shown in the figure below. Calculate the minimum index of refraction of the prism for which the ray will totally internally reflect at each of the two sides making the right angle.

_____

Purchase Calculator for the Chapter 22 Homework

Buy this on Selz Sell digital downloads on Selz

1. (a) What is the energy in joules of an x-ray photon with wavelength 6.15 10-9 m?

_____J

(b) Convert the energy to electron volts.

_____eV

(c) If more penetrating x-rays are desired, should the wavelength be increased or decreased?

_____

2. Find the energy of the following. Express your answers in units of electron volts, noting that 1 eV = 1.60 10-19 J.

(a) a photon having a frequency of 5.60 1017 Hz

_____eV

(b) a photon having a wavelength of 8.20 102 nm

_____eV

3. (a) Calculate the wavelength of light in vacuum that has a frequency of 1.0 1014 Hz.

_____m

(b) What is its wavelength in benzene? (The index of refraction of benzene is 1.501.)

_____m

(c) Calculate the energy of one photon of such light in vacuum. Express the answer in electron volts.

_____eV

(d) What is the properties of and effect on the energy of the photon when it enters the benzene? (Select all that apply.)

the energy is inversely proportional to the frequency

the energy goes down

the energy is not proportional to the frequency

the energy does not change

the energy is proportional to the frequency

the energy goes up

4. A ray of light travels from air into another medium, making an angle of θ1 = 45.0° with the normal as in the figure below.

(a) Find the angle of refraction θ2 if the second medium is fused quartz. (The index of refraction for fused quartz is 1.458.)

_____°

(b) Find the angle of refraction θ2 if the second medium is ice. (The index of refraction for ice is 1.309.)

_____°

(c) Find the angle of refraction θ2 if the second medium is sodium chloride. (The index of refraction for sodium chloride is 1.544.)

_____°

5. As shown in the figure below, a light ray is incident normal to on one face of a 30°-60°-90° block of zircon that is immersed in water.

(a) Determine the exit angle θ4 of the ray.

θ4 = ____°

(b) A substance is dissolved in the water to increase the index of refraction. At what value of n2 does total internal reflection cease at point P?

n2 = _____

6. A laser beam is incident at an angle of 28.6° to the vertical onto a solution of corn syrup in water.

(a) If the beam is refracted to 19.12° to the vertical, what is the index of refraction of the syrup solution?

_____

(b) Suppose the light is red, with wavelength 632.8 nm in a vacuum. Find its wavelength in the solution.

_____nm

(c) Find its frequency in the solution.

_____Hz

(d) Find its speed in the solution.

_____m/s

7. A ray of light is incident on the surface of a block of clear ice at an angle of 48.0° with the normal. Part of the light is reflected and part is refracted. Find the angle between the reflected and refracted light.

_____°

8. A laser beam is incident on a 45°--45°--90° prism perpendicular to one of its faces, as shown in the figure below. The transmitted beam that exits the hypotenuse of the prism makes an angle of θ = 23.9° with the direction of the incident beam. Find the index of refraction of the prism.

_____

9. The index of refraction for red light in water is 1.331 and that for blue light is 1.340. If a ray of white light enters the water at an angle of incidence of 66.25°, what are the underwater angles of refraction for the blue and red components of the light?

(a) blue component

_____°

(b) red component

_____°

10. For light of wavelength 589 nm, calculate the critical angles for the following substances when surrounded by air.

fused quartz _____°

flint glass _____°

zircon _____°

11. For light of wavelength 589 nm, calculate the critical angles for the following substances when surrounded by water.

fluorite _____°

flint glass _____°

zircon _____°

12. A light ray is incident normally to the long face (the hypotenuse) of a 45° -45° -90° prism surrounded by air, as shown in the figure below. Calculate the minimum index of refraction of the prism for which the ray will totally internally reflect at each of the two sides making the right angle.

_____

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