Problems

Problems

16.1 Reflection

12.

Some telephoto cameras use a mirror rather than a lens. What radius of curvature is needed for a concave mirror to replace a 0.800 -m focal-length telephoto lens?

  1. 0.400 m
  2. 1.60 m
  3. 4.00 m
  4. 16.0 m
13.

What is the focal length of a makeup mirror that produces a magnification of 2.00 when a person’s face is 8.00 cm away?

  1. –16 cm
  2. –5.3 cm
  3. 5.3 cm
  4. 16 cm

16.2 Refraction

14.

An optical fiber uses flint glass (n = 1.66) clad with crown glass (n = 1.52) . What is the critical angle?

  1. 33.2°
  2. 23.7°
  3. 0.92 rad
  4. 1.16 rad
15.

Suppose this figure represents a ray of light going from air (n = 1.0003) through crown glass (n = 1.52) into water, similar to a beam of light going into a fish tank.

An image is shown with a ray going into a medium. The incident ray has an angle labeled theta 1 and it splits into two rays as it hits the first horizon labeled en 1. The ray on the bottom is represented by a solid line and starts with an angle labeled theta two and the ray continues through a medium labeled en 2. When it encounters a horizon labeled en 3, the angle of theta 2 is on top of the horizon and theta 3 is under the horizon. The ray on top is represented by a dashed line. It continues straight from the incident ray until it hits horizon en 3. After the ray enters en 3, the angle of theta 3 is below the horizon. A distance of delta x is marked between the two rays at the bottom of the second medium.

Calculate the amount the ray is displaced by the glass (Δx), given that the incident angle is 40.0° and the glass is 1.00 cm thick.

  1. 0.839 cm
  2. 0.619 cm
  3. 0.466 cm
  4. 0.373 cm

16.3 Lenses

16.

A camera’s zoom lens has an adjustable focal length ranging from 80.0 to 200 mm . What is its range of powers?

  1. The lowest power is 0.05 D and the highest power is 0.125 D.
  2. The lowest power is 0.08 D and the highest power is 0.20 D.
  3. The lowest power is 5.00 D and the highest power is 12.5 D.
  4. The lowest power is 80 D and the highest power is 200 D.
17.

Suppose a telephoto lens with a focal length of 200 mm is being used to photograph mountains 10.0 km away. (a) Where is the image? (b) What is the height of the image of a 1,000-m-high cliff on one of the mountains?

  1. (a) The image is 0.200 m on the same side of the lens. (b) The height of the image is – 2.00 cm.
  2. (a) The image is 0.200 m on the opposite side of the lens. (b) The height of the image is – 2.00 cm.
  3. (a) The image is 0.200 m on the opposite side of the lens. (b) The height of the image is +2.00 cm.
  4. (a) The image is 0.100 m on the same side of the lens. (b) The height of the image is +2.00 cm.