Question 1

A 2.3 cm tall statue is 15 cm in front of a concave mirror with a radius of curvature of 18 cm. What is the image height and is the image real or virtual?

Accepted Answer

Image height is $$-5.8\ \mathrm{cm}$$, real image

Question 2

An object is placed 15 cm from a concave mirror of focal length 20 cm. If the object is 4.0 cm tall, what is the height of the image?

Accepted Answer

The image is $$2.2\ \mathrm{cm}$$ tall

Question 3

A parallel light beam containing two wavelengths, $$480\ \mathrm{nm}$$ and $$700\ \mathrm{nm}$$, strikes a glass slab at an angle of incidence of $$60^\circ. $$The refractive indices for the glass are $$1.483$$ for $$480\ \mathrm{nm}$$ and $$1.476$$ for $$700\ \mathrm{nm}. $$What is the angle between the two beams in the glass?

Accepted Answer

$$0.196^\circ$$

Question 4

An object is placed $$50\ \mathrm{cm} in $$front of a concave mirror with a focal length of $$25\ \mathrm{cm}. $$What is the magnification?

Accepted Answer

$$-1.0$$

Question 5

A ray of light strikes a plane mirror perpendicular to the mirror. What is the angle of incidence?

Accepted Answer

$$0^\circ$$

Question 6

A $$3.0\ \mathrm{cm}$$ tall statue is $$41\ \mathrm{cm} in $$front of a biconvex lens of focal length $$20\ \mathrm{cm}. $$What is the image height and is the image real or virtual?

Accepted Answer

Image height is $$1.5\ \mathrm{cm}$$, real image

Question 7

A beam of light in water ($$n = 1.33) $$enters a glass slab ($$n = 1.50) at an $$angle of incidence of $$40^\circ. $$What is the angle of refraction?

Accepted Answer

$$34.2^\circ$$

Question 8

What is the focal length of a concave mirror with a radius of curvature of $$20\ \mathrm{cm}$$?

Accepted Answer

$$10\ \mathrm{cm}$$

Question 9

A fish underwater ($$n = 1.33) $$looks up in order to see a fisherman at the shore ($$n = 1.00). $$What is the critical angle for light reflection from the top of the water surface?

Accepted Answer

$$48.8^\circ$$

Question 10

An object is placed $$60\ \mathrm{cm}$$ away from a converging lens of focal length $$30\ \mathrm{cm}. $$What is the image distance?

Accepted Answer

$$30\ \mathrm{cm}$$

Question 11

A $$2.0\ \mathrm{cm}$$ high object is placed $$37.0\ \mathrm{cm} in $$front of a concave mirror of focal length $$15\ \mathrm{cm}. $$What is the height of the image?

Accepted Answer

$$3.0\ \mathrm{cm}$$

Question 12

A ray of light enters a glass surface at an angle of $$30^\circ$$ with respect to the surface. What is the angle of refraction if the index of refraction of glass is $$1.5$$ and air is $$1.0$$?

Accepted Answer

$$19.2^\circ$$

Question 13

You wish to obtain a magnification of $$-2$$ from a convex lens of focal length $$f. $$What is the only possible solution?

Accepted Answer

Place a real object at a distance $$3f/2$$ from the lens

Question 14

A $$2.0\ \mathrm{cm}$$ high object is placed at the center of curvature $$C in $$front of a concave mirror. What is the height of its image?

Accepted Answer

$$2.0\ \mathrm{cm}$$

Question 15

An optic fiber is made of clear plastic with index of refraction $$1.50. $$For what angle of incidence will light remain within the plastic 'guide'?

Accepted Answer

Any angle less than $$41.8^\circ$$

Question 16

A $$2.0\ \mathrm{cm}$$ high object is placed $$30\ \mathrm{cm}$$ from a diverging lens of focal length $$-25\ \mathrm{cm}. $$What is the image height?

Accepted Answer

$$1.3\ \mathrm{cm}$$, same side as the object

Question 17

A $$2.2\ \mathrm{cm}$$ high face is $$20\ \mathrm{cm} in $$front of a concave shaving mirror. If he observes his image to be twice as large as his face, what is the focal length of the mirror?

Accepted Answer

$$6.7\ \mathrm{cm}$$

Question 18

A ray of light consisting of blue light (wavelength $$480\ \mathrm{nm}) $$and red light (wavelength $$670\ \mathrm{nm}) is $$incident on thick piece of glass at $$60^\circ. $$What is the angular separation between the refracted red and refracted blue beams as they are in the glass? (The respective indices of refraction for the blue light and the red light are $$1.4836$$ and $$1.4561.)$$

Accepted Answer

$$0.277^\circ$$

Question 19

A $$2.0\ \mathrm{cm}$$ high object is placed $$30\ \mathrm{cm}$$ from a concave lens of focal length $$-10\ \mathrm{cm}. $$What is the magnification?

Accepted Answer

$$0.34$$

Geometrical Optics: Study Notes and Problem Review

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