Q: A 2.0-cm-tall object is located 8.0 cm in front of a converging lens with a focal length of 10 cm. What is the image distance $$s'$$ and height $$h'$$?

$$s' = -40\ \text{cm},\ h' = 10\ \text{cm}$$

Q: A converging cosmetic mirror has a focal length of 40 cm. A 5-cm-long object is held upright 20 cm from the mirror. What is the image distance and height?

$$s' = -40\ \text{cm},\ h' = 10\ \text{cm}$$

Q: A lightbulb is 60 cm from a converging mirror with a focal length of 20 cm. What is the image distance and orientation?

$$s' = 30\ \text{cm}$$, inverted

Q: A diverging mirror with a focal length of $$-2.0\ \text{m}$$ has an object 4.0 m from the mirror. What is the image distance and nature?

$$s' = -1.3\ \text{m}$$, virtual

Q: For the scenario above, what is the magnification and image height?

$$m = -1$$, $$h' = -2.0\ \text{cm}$$

Q: A 1.0-cm-tall object is 10 cm in front of a converging lens with a 30 cm focal length. What is the image position and height?

$$s' = -15\ \text{cm}$$, $$h' = 1.5\ \text{cm}$$

Q: A 2.0-cm-tall object is 15 cm in front of a diverging lens with a $$-20\ \text{cm}$$ focal length. What is the image position and height?

$$s' = -8.6\ \text{cm}$$, $$h' = 1.14\ \text{cm}$$

Q: A light wave has a wavelength of 670 nm in air and 420 nm in a transparent solid. What is the speed of light in the solid?

$$v = 1.9 \times 10^8$\ \text{m/s}$$

Q: For the scenario above, what is the frequency of the light in the solid?

$$f = 4.5 \times 10$$^{14}$$\ \text{Hz}$$

Question 1

An object is placed 30 cm in front of a converging lens with a focal length of 10 cm. Using ray tracing and the thin-lens equation, what is the image distance $$s'$$?

Accepted Answer

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

Question 2

For the scenario above, what is the nature of the image formed by the converging lens?

Accepted Answer

Inverted and real

Question 3

An object is 15 cm in front of a diverging lens with a focal length of $$-10\ 	ext{cm}. $$What is the image distance $$s'$$?

Accepted Answer

$$s' = -6\ 	ext{cm}$$

Question 4

For the diverging lens scenario above, what is the orientation and nature of the image?

Accepted Answer

Upright and virtual

Question 5

A 2.0-cm-tall object is located 8.0 cm in front of a converging lens with a focal length of 10 cm. What is the image distance $$s'$$ and height $$h'$$?

Accepted Answer

$$s' = -40\ 	ext{cm},\ h' = 10\ 	ext{cm}$$

Question 6

A converging cosmetic mirror has a focal length of 40 cm. A 5-cm-long object is held upright 20 cm from the mirror. What is the image distance and height?

Accepted Answer

$$s' = -40\ 	ext{cm},\ h' = 10\ 	ext{cm}$$

Question 7

A lightbulb is 60 cm from a converging mirror with a focal length of 20 cm. What is the image distance and orientation?

Accepted Answer

$$s' = 30\ 	ext{cm}$$, inverted

Question 8

A diverging mirror with a focal length of $$-2.0\ 	ext{m}$$ has an object 4.0 m from the mirror. What is the image distance and nature?

Accepted Answer

$$s' = -1.3\ 	ext{m}$$, virtual

Question 9

A 2.0-cm-tall object is 40 cm in front of a converging lens with a 20 cm focal length. Using the thin-lens equation, what is the image position?

Accepted Answer

$$s' = 40\ 	ext{cm}$$

Question 10

For the scenario above, what is the magnification and image height?

Accepted Answer

$$m = -1$$, $$h' = -2.0\ 	ext{cm}$$

Question 11

A 1.0-cm-tall object is 10 cm in front of a converging lens with a 30 cm focal length. What is the image position and height?

Accepted Answer

$$s' = -15\ 	ext{cm}$$, $$h' = 1.5\ 	ext{cm}$$

Question 12

A 2.0-cm-tall object is 15 cm in front of a diverging lens with a $$-20\ 	ext{cm}$$ focal length. What is the image position and height?

Accepted Answer

$$s' = -8.6\ 	ext{cm}$$, $$h' = 1.14\ 	ext{cm}$$

Question 13

A light wave has a wavelength of 670 nm in air and 420 nm in a transparent solid. What is the speed of light in the solid?

Accepted Answer

$$v = 1.9 	imes 10^8$\ 	ext{m/s}$$

Question 14

For the scenario above, what is the frequency of the light in the solid?

Accepted Answer

$$f = 4.5 	imes 10$$^{14}$$\ 	ext{Hz}$$

Question 15

Two narrow slits are spaced 20 wavelengths apart. What is the angle in radians between the central maximum and the $$m=1$$ bright fringe?

Accepted Answer

$$	heta = 0.050$$

Question 16

In a double-slit experiment, the slits are 20 $$\mum $$apart and 0.85 m from the screen. What is the $$m=1$$ distance from the central maximum for red light ($$\lambda = 700 nm$$)?

Accepted Answer

$$y = 3.0\ 	ext{cm}$$

Question 17

In the same experiment, what is the $$m=1$$ distance for violet light ($$\lambda = 400 nm$$)?

Accepted Answer

$$y = 1.7\ 	ext{cm}$$

Question 18

Light illuminating a pair of slits contains two wavelengths, 500 nm and an unknown wavelength. The 10th bright fringe of the unknown wavelength overlaps the 9th bright fringe of the 500 nm light. What is the unknown wavelength?

Accepted Answer

$$\lambda_u = 450\ 	ext{nm}$$

Question 19

Two narrow slits are 0.12 mm apart. Light of wavelength 550 nm illuminates the slits, causing an interference pattern on a screen 1.0 m away. What is the path difference for the $$m=1$$ maximum?

Accepted Answer

$$\Delta r = 550\ 	ext{nm}$$

Ray Tracing and Thin Lens/Mirror Equations – Guided Study Notes

Study Guide - Practice Questions

Study Guide - Flashcards