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Individual Home Work 2 Questions

Questions for this IHW are by my presentations for Module 2: Lectures 4 – 6.

Problems

1

When the light illustrated passes through the glass block, it is shifted laterally by the distance d. Taking n = 1.50, find the value of d.

2

A narrow white light beam is incident on a block of fused quartz at an angle of 30.0°. Find the angular width of the light beam inside the quartz.

3

A concave mirror has a radius of 40.0 cm. Determine the object position for which the resulting image is upright and four times the size of the object.

4

A spherical convex mirror has a radius of curvature with a magnitude of 24 cm. The object distance to the mirror is 60 cm.

a) Construct a ray diagram for this arrangement.

b) Determine the position of the image.

c) Determine the magnification of the image.

d) Is the image upright or inverted?

e) Is the image real or virtual?

5

A spherical concave mirror has a radius of curvature with a magnitude of 60 cm. The object distance to the mirror is 20 cm.

a) Construct a ray diagram for this arrangement.

b) Determine the position of the image.

c) Determine the magnification of the image.

d) Is the image upright or inverted?

e) Is the image real or virtual?

6

A spherical concave mirror has a radius of curvature with a magnitude of 60 cm. The object distance to the mirror is 40 cm.

a) Construct a ray diagram for this arrangement.

b) Determine the position of the image.

c) Determine the magnification of the image.

d) Is the image upright or inverted?

e) Is the image real or virtual?

7

A thin lens has a focal length of 25 cm. The object is placed 24 cm before the lens.

a) Construct a ray diagram for this arrangement.

b) Determine the position of the image.

c) Determine the magnification of the image.

d) Is the image upright or inverted?

e) Is the image real or virtual?

8

A thin lens has a focal length of 25 cm. The object is placed 26 cm before the lens.

a) Construct a ray diagram for this arrangement.

b) Determine the position of the image.

c) Determine the magnification of the image.

d) Is the image upright or inverted?

e) Is the image real or virtual?

9

A thin lens has a focal length of -25 cm. The object is placed 24 cm before the lens.

a) Construct a ray diagram for this arrangement.

b) Determine the position of the image.

c) Determine the magnification of the image.

d) Is the image upright or inverted?

e) Is the image real or virtual?

10

A thin lens has a focal length of -25 cm. The object is placed 26 cm before the lens.

a) Construct a ray diagram for this arrangement.

b) Determine the position of the image.

c) Determine the magnification of the image.

d) Is the image upright or inverted?

e) Is the image real or virtual?

11

Light from an argon laser strikes a diffraction grating that has 5310 grooves per centimeter. The central and first-order principal maxima are separated by 0.488 m on a wall 1.72 m from the grating. Determine the wavelength of the laser light.

12

In a double-slit arrangement d = 0.150 mm, L = 140 cm, =643 nm, and y=1.8 cm.

(a) What is the path difference  for the rays from the two slits arriving at P ?

(b) Express this path difference in terms of .

(c) Does P correspond to a maximum, a minimum, or an intermediate condition?

13

Coherent microwaves of wavelength 5.00 cm enter a long, narrow window in a building otherwise essentially opaque to the microwaves. If the window is 36.0 cm wide, what is the distance from the central maximum to the first-order minimum along a wall 6.50 m from the window?

14

A riverside warehouse has two open doors. Its walls are lined with sound-absorbing material. A boat on the river sounds its horn. To person A the sound is loud and clear. To person B the sound is barely audible. The principal wavelength of the sound waves is 3.00 m. Assuming person B is at the position of the first minimum, determine the distance between the doors, center to center.

15

Three polarizing disks whose planes are parallel are centered on a common axis. A plane-polarized beam of light with E0 parallel to the vertical reference direction is incident from the left on the first disk with intensity I0. Calculate the transmitted intensity using the values 1, 2,3.

16

The critical angle for total internal reflection for sapphire surrounded by air is 34.4°. Calculate the polarizing angle for sapphire.