Assignment Chapters 11 and 12

1. The absolute index of refraction for light in a certain medium is 2.13. What is the speed of light

in this material? (2 marks)

2. A mirror on top of a motor rotates at a speed of 3.2 X 10⁴ revolutions per minute. In the time

it takes light to travel from this mirror to a distant fixed mirror 45 m away and back again, the

rotating mirror turns through 6.05 X 10^-2degrees. Given this data, calculate the speed of light.

(3 marks)

3. An image of an object in a pinhole camera is 15 cm high. The camera is 25 cm long and the

distance to the object from the camera is 7.3 m. What is the height of the object, and what is

the magnification of the camera? (3 marks)

4. A converging mirror has a toy soldier of height 4.3 cm placed in front of it. The radius of

curvature of the mirror is 25.4 cm. Where must the soldier be placed to produce a virtual

image of 3 times its height? (4 marks)

5. Light moves from water into glass with an index of refraction of 1.49. The Index of refraction of

the water is 1.33, and the incident angle is 30^o. Assume the index of refraction in air is 1.00

a) What is the angle of refraction in the glass? (3 marks)

b) What is the speed of the light in the glass? (4 marks)

c) If the light passed from the glass into the water, what would be the critical angle?

(2 marks)

6. A diverging lens has a focal length of 5.3 cm. An object is viewed through the lens. The

object is placed 8.6 cm from the lens.

a) Where is the image of the object? (2 marks)

b) What is the magnification of the object? (2 marks)

7. Light passes from one medium to the next as shown. frequency of the light is 7.5 X 10¹⁴ Hz.

Find the angle of refraction in medium 3. (3 marks)

8. A student notes that when she uses a diffraction grating with separations of 330 micrometers

between lines, that the distance between the 4th and 8th nodal lines is 4.8 cm on a curved

screen placed 2.7 m away. What is the wavelength of the light producing the pattern? (3 marks)

9. A double slit experiment produces an interference pattern which has the 4th nodal line occurring

at an angle of 15^o. If the wavelength of light used was 7.8 X 10^-7 m, what is the separation

between slits? (3 marks)

10. The index of refraction for violet light in crown glass is 1.53. For red light, the index of refraction

is 1.51. If these two colors of light are passing from crown glass into vacuum at an angle of

incidence of 40^o, what will be the angle between the violet and the red light upon emerging

from the glass? (4 marks)

11. The Index of refraction for a type of clear glue is 1.83 for light passing from air into the glue.

The light has a wavelength of 3.8 X 10^-7 m in air.

a) What is the speed of the light in the glue? (2 marks)

b) What is the frequency of light in the glue? (2 marks)

12. Water has an absolute index of refraction of 1.33. Diamond has an absolute index of

refraction of 2.42. If a diamond is sitting in water, what is the critical angle between their

surfaces? In which direction must the light move in order to be totally internally reflected

with these two materials? (4 marks)

Home

November 22, 2013