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An object 3.0mm high is placed 12cm from a convex mirror of radius of curvature

ID: 1373995 • Letter: A

Question

An object 3.0mm high is placed 12cm from a convex mirror of radius of curvature 12cm .

a.) Select the correct ray diagram:

b.)

Determine the image distance using the mirror equation 1 d o +1 d i =1 f . Follow the sign conventions.

Express your answer to one significant figure and include the appropriate units.

c.)

Determine the image size using the equation for magnification m=h i h o =?d i d o . Follow the sign conventions.

Express your answer to one significant figure and include the appropriate units.

b.)

Determine the image distance using the mirror equation 1 d o +1 d i =1 f . Follow the sign conventions.

Express your answer to one significant figure and include the appropriate units.

c.)

Determine the image size using the equation for magnification m=h i h o =?d i d o . Follow the sign conventions.

Express your answer to one significant figure and include the appropriate units.

An object 3.0mm high is placed 12cm from a convex mirror of radius of curvature 12cm . a.) Select the correct ray diagram: b.) Determine the image distance using the mirror equation 1 d o +1 d i =1 f . Follow the sign conventions. Express your answer to one significant figure and include the appropriate units. c.) Determine the image size using the equation for magnification m=h i h o =?d i d o . Follow the sign conventions. Express your answer to one significant figure and include the appropriate units.

Explanation / Answer

For a convex mirror , the correct ray diagram is

SECOND , the image is smaller and it lies behind the mirror

b)

do = 12 cm

as f = r/2 = -12/2

f = -6 cm

using mirror formula

1/f = 1/di + 1/do

-1/6 = 1/12 + 1/di

di = -4 cm

the image distance is -4 cm

c)

ho = 3 mm

Now, hi = -(-4)*3/(12)

hi = 1 mm

the height of image is 1 mm

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