A concave cosmetic mirror has a focal lengthof 44 cm . A 3.0-cm-long mascara bru

Question

A concave cosmetic mirror has a focal lengthof 44 cm . A 3.0-cm-long mascara brush is held upright 22 cm from the mirror.

Part A

Use ray tracing to determine the location of its image. How far is the image from the mirror? Input positive value if the image is on the same side from the mirror as an object and negative if the image is on the other side.

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

Part B

What is the height of the image? Use ray tracing to determine.

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

Explanation / Answer

a)

here by using the mirror formula

1 / v + 1 / u = 1 / f

1 / v = 1 / 44 - 1 / 22

v = -44 cm

the image is on the other side of the object at distance -44 cm

b)

by using the formula of magnification

m = h2 / h1 = -v / u

h2 = - (-44) * 3 / 22

h2 = 6 cm

the height of the image is 6cm

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