Question 1

A convex mirror has a radius of curvature $$R = -20\ \mathrm{cm}. $$What is the focal length $$f of $$the mirror?

Accepted Answer

$$f = -10\ \mathrm{cm}$$

Question 2

Which of the following best describes the image formed by a convex mirror for any real object?

Accepted Answer

The image is virtual, upright, and smaller than the object.

Question 3

Santa stands $$0.75\ \mathrm{m}$$ from a shiny silvered Christmas tree ornament with a diameter of $$7.2\ \mathrm{cm}. $$What is the radius of curvature $$R of $$the ornament?

Accepted Answer

$$R = 3.6\ \mathrm{cm}$$

Question 4

Given the mirror equation $$\frac{1}{s} + \frac{1}{s'} = \frac{1}{f}$$, if an object is placed $$30\ \mathrm{cm}$$ from a concave mirror with $$f = 10\ \mathrm{cm}$$, what is the image distance $$s'$$?

Accepted Answer

$$s' = 15\ \mathrm{cm}$$

Question 5

A cylindrical glass rod has an index of refraction $$n = 1.52$$ and a hemispherical end with radius $$R = 2.00\ \mathrm{cm}. If a $$small object is placed on the axis $$8.00\ \mathrm{cm}$$ from the vertex, what is the image distance $$s'$$ inside the glass? Use the spherical refraction formula $$\frac{n_2$}{s'} - \frac{n_1$}{s} = \frac{n_2$ - n_1$}{R}$$ with $$n_1 = 1.00$ (air).

Accepted Answer

$$s' = 11.3\ \mathrm{cm}$$

Question 6

For a convex mirror, which principal ray appears to diverge from the focal point after reflection?

Accepted Answer

A ray parallel to the principal axis

Question 7

If the lateral magnification $$m$$ for a spherical refracting surface is given by $$m = -\frac{n_1$ s'}{n_2$ s}$$, what does a negative value of $$m$$ indicate?

Accepted Answer

The image is inverted relative to the object.

Question 8

A double convex lens is made of glass ($$n = 1.52) $$and is surrounded by air. Which statement about its focal length is correct?

Accepted Answer

The focal length is positive and the lens forms real images.

Question 9

A diverging lens has a focal length $$f = -15\ \mathrm{cm}. $$Where is the second focal point located relative to the lens?

Accepted Answer

15 cm on the same side as the incoming light

Question 10

Which of the following is true for the image formed by a plane refracting surface between two media with indices $$n_1$$ and $$n_2$$?

Accepted Answer

The image is always virtual and located on the same side as the object.

Question 11

A glass rod with a hemispherical end ($$n = 1.52$$, $$R = 2.00\ \mathrm{cm}) $$forms an image of an object placed $$8.00\ \mathrm{cm}$$ from the vertex. What is the lateral magnification $$m$$?

Accepted Answer

$$m = 0.929$$

Question 12

Which lens type is described as having two spherical refracting surfaces close enough together to neglect the distance between them?

Accepted Answer

Thin lens

Question 13

If an object is placed at the focal point of a concave mirror, what is the nature of the image formed?

Accepted Answer

The image is formed at infinity.

Question 14

Which of the following statements about the focal length of a convex mirror is correct?

Accepted Answer

The focal length is negative and the mirror forms only virtual images.

Question 15

A ray directed toward the focal point of a convex mirror reflects in which direction?

Accepted Answer

Parallel to the principal axis

Question 16

In the context of geometric optics, what is the effect of increasing the index of refraction of the medium surrounding a lens?

Accepted Answer

The focal length of the lens decreases.

Question 17

Which of the following is a correct application of Snell's Law at a spherical surface?

Accepted Answer

$$n_1$$ \sin \$$theta_1$$ = $$n_2$$ \sin \$$theta_2$$

Question 18

A planoconcave lens is used to form an image of a distant object. What type of image is formed?

Accepted Answer

Virtual, upright, and smaller than the object

Question 19

If the object distance $$s is $$less than the focal length $$f$$ for a concave mirror, what is the nature of the image?

Accepted Answer

Virtual, upright, and enlarged

Geometric Optics: Mirrors, Refraction, and Lenses

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