1) An object is 32 cm in front of a convex mirror with a focal length of -20 cm.

Question

1) An object is 32 cm in front of a convex mirror with a focal length of -20 cm.

Use ray tracing to determine the position of the image.

Express your answer to two significant figures and include the appropriate units.

s' =

2) An object is 4 cm in front of a converging lens with a focal length of 15 cm .

Determine the location of the image.

Express your answer to two significant figures and include the appropriate units.

s' =

3) An object is 11 cm in front of a diverging lens with a focal length of -6 cm.

Determine the location of the image.

Express your answer to two significant figures and include the appropriate units.

s' =

4) A 1.4-cm-tall candle flame is 59 cm from a lens with a focal length of 18 cm.

i ) What is the image distance?

Express your answer to two significant figures and include the appropriate units.

s'=

ii) What is the height of the flame's image?

Express your answer to two significant figures and include the appropriate units.

h' =

Explanation / Answer

1)
do = 32 cm
f = - 20 cm

1/f = 1/di + 1/do
-1/20 = 1/di + 1/32
di = - 12.3 cm
position of the image, di = - 12.3 cm

2)
do = 4 cm
f = 15 cm

1/f = 1/di + 1/do
1/15 = 1/di + 1/4
di = - 5.5 cm
position of the image, di = - 5.5 cm

3)
do = 11 cm
f = -6 cm

1/f = 1/di + 1/do
- 1/6 = 1/di + 1/11
di = - 3.88 cm
position of the image, di = - 3.88 cm

4)

do = 59 cm
f = 18 cm

1/f = 1/di + 1/do
1/18 = 1/di + 1/59
di = 25.9 cm
position of the image, di = 25.9 cm

M = -di/do = hi/ho
hi = 1.4 * (-25.9/59)
hi = - 0.62 cm
height of the flame's image = 0.62 cm

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