Geometric Optics

The concave spherical mirror of radius r shown above has focal point F and center of curvature C. An object is placed at a distance 2r from the mirror. Where will the image be formed?

• Between C and the object

• To the right of the object

• Between F and the mirror

• To the left of the mirror

• Between F and C

A physics student places an object 6.0 cm from a converging lens of focal length 9.0 cm. What is the magnitude of the magnification of the image produced?

• 0.6

• 2.0

• 3.6

• 3.0

• 1.5

An object is placed in front of a converging thin lens at a distance from the center of the lens equal to half the focal length. Compared to the object, the image is

• upright and smaller

• inverted and smaller

• upright and larger

• inverted and the same size

• inverted and larger

A group of students collected data using a lens. They varied the distance s_o of an object from the lens and measured the image distance s_i. The figure above is their graph of the inverse of the image distance as a function of the inverse of the object distance. The focal length of the lens is approximately

• 2.0 m

• 1.0

• 4.0

• 1.5

Which of the rays shown above is correct for this diverging mirror?

• 1

• 2

• 3

• 4

A student uses a convex lens to create images and collects the data shown above. The focal length of the lens is in which of the following ranges?

• 0–5 cm

• 5-10 cm

• 10-15 cm

• 15-25 cm

A light ray R in medium I strikes a sphere of medium II with angle of incidence è, as shown above. The figure shows five possible subsequent paths for the light ray. Which path is possible if medium I is glass and medium II is air?

• A

• B

• C

• D

• E

If light has a speed v in water, what would be its speed in diamond?

• v/2.42

• 2.42 v

• (1.33/2.42) v

• 1.33 v

• (2.42/1.33) v

Tags

NGSS.HS-PS4-1

A student is comparing three lenses of the same size and shape that are made of different materials. A small object, represented by the thick black arrow, is held on one side of each lens. The ray diagrams above show the formation of the image, represented by the gray arrow, for each lens. Which of the following correctly ranks the index of refraction n of the lenses?

• n2 > n1 > n3

• n1 > n2 > n3

• n3 > n1 > n2

• n3 > n2 > n1

Tags

NGSS.HS-PS4-3

A ray of light in air (n = 1.0) is incident on glass (n = 1.5) at a small angle θ_a to the normal. The angle of the ray to the normal in the glass is θ_g . The speeds of light in air and the glass are v_a and v_g , respectively. How do the values of the speed of light and the angle of the ray of light to the normal in air compare to those in the glass?

• v_a > v_g and θ_a > θ_g

• v_a > v_g and θ_a < θ_g

• v_a < v_g and θ_a > θ_g

• v_a < v_g and θ_a < θ_g

Tags

NGSS.HS-PS4-1