(A) How Many Times Does the Light Beam Reflect from the Top Mirror?

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(A) How Many Times Does the Light Beam Reflect from the Top Mirror?

AP Optics HW

  1. A laser beam is reflected by a plane mirror. It is observed that the angle between the incident and reflected beams is 34°. If the mirror is now rotated so that the angle of incidence increases by 4.0°, what is the new angle between the incident and reflected beams?
  1. Consider the light beam shown in the figure, where d = 157 cm and θ = 26.5°.

(a) How many times does the light beam reflect from the top mirror?

(b) How many times does the light beam reflect from the bottom mirror?

  1. Sunlight enters a room at an angle of θ = 39° above the horizontal and reflects from a small mirror lying flat on the floor. The reflected light forms a spot on a wall that is d = 2.2 m behind the mirror, as shown in the figure. If you now place a pencil under the edge of the mirror nearer the wall, tilting it upward by 5.0°, how much higher on the wall (Δy) is the spot?

Cm

  1. A section of a sphere has a radius of curvature of 0.94 m. If this section is painted with a reflective coating on both sides, what is the focal length of the following sides? (Include the sign of each answer.)

(a) the convex side

(b) the concave side

  1. Sunlight reflects from a concave piece of broken glass, converging to a point 44 cm from the glass. What is the radius of curvature of the glass?
  1. An object with a height of 42 cm is placed 2.1 m in front of a concave mirror with a focal length of 0.40 m. Find the location and magnification of the image produced by the mirror, using the mirror and magnification equations.

D =

M =

  1. An object with a height of 42 cm is placed 1.6 m in front of a convex mirror with a focal length of -0.52 m. Find the location and magnification of the image produced by the mirror using the mirror and magnification equations.

D =

M =

  1. A person 1.6 m tall stands 6.6 m from a reflecting globe in a garden.

(a) If the diameter of the globe is 31 cm, where is the image of the person, relative to the surface of the globe? (Enter a negative value if the image forms behind the globe.)

(b) How large is the person's image?

  1. Light travels a distance of 0.980 m in 4.80 ns in a given substance. What is the index of refraction of this substance?
  1. The angle of refraction of a ray of light traveling through a piece of crown glass is 29°. Find the angle of incidence.
  1. Consider the figure below, where x = 20.7 cm and y = 5.70 cm. You have a semicircular disk of glass with an index of refraction of n = 1.52. Find the incident angle θ for which the beam of light will hit the indicated point on the screen.

  1. Two lenses that are L = 46 cm apart are used to form an image, as shown in figure. Lens 1 is converging and has a focal length f1 = 15 cm; lens 2 is diverging and has a focal length f2 = -7.0 cm.

(a) Determine the distance from lens 1 to the final image.

(b) What is the magnification of this image?

  1. Two lenses that are L = 37 cm apart are used to form an image, as shown in the figure. Lens 1 is diverging and has a focal length f1 = -7 cm; lens 2 is converging and has a focal length f2 = 16 cm.

(a) Determine the distance from lens 1 to the final image.

(b) What is the magnification of this image?

  1. Approximating the eye as a single thin lens 2.25 cm from the retina, find the eye's near-point distance if its focal length is 1.70 cm when focused at infinity.
  1. The actual frame size of "35-mm" film is 24 mm 36 mm. You want to take a photograph of your friend, who is 1.60 m tall. Your camera has a 55 mm focal length lens. How far from the camera should your friend stand in order to produce a 34 mm tall inverted image on the film?
  1. A converging lens of focal length 8.000 cm is 20.2 cm to the left of a diverging lens of focal length -6.00 cm. A coin is placed 12.1 cm to the left of the converging lens.

(a) Find the location of the coin's final image relative to the diverging lens. (Include the sign of each answer. Enter a negative value if the image is to the left of the diverging lens.)

(b) Find the magnification of the coin's final image.

  1. Galileo's first telescope used a convex objective lens and a concave eyepiece, as shown in the figure. A telescope of similar design has an objective lens with a focal length f = 1.72 m. When this telescope is focused on an infinitely distant object, and produces an infinitely distant image, its angular magnification is -2.2.

(a) What is the focal length of the eyepiece? (Include the sign.)

(b) How far apart are the two lenses?

  1. Monochromatic light passes through two slits separated by a distance of 0.0313 mm. If the angle to the third maximum above the central fringe is 3.11°, what is the wavelength of the light?
  1. Green light (λ = 546 nm) strikes a single slit at normal incidence. What width slit will produce a central maximum that is 2.10 cm wide on a screen 1.33 m from the slit?
  1. A grating has 655 lines per centimeter. Find the angles of the first three principal maxima above the central fringe when this grating is illuminated with 620 nm light.

First

Second

Third