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A concave cosmetic mirror has a focal length of 22 cm. A 5.0-cm-long mascara bru

ID: 1475471 • Letter: A

Question

A concave cosmetic mirror has a focal length of 22 cm. A 5.0-cm-long mascara brush is held upright 11 cm from the mirror. 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. 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)

For a mirror

1/v + 1/u = 1/f

So, 1/v + 1/11 = 1/22

So, v = -22 cm <----answer

b)

height of image = -(v/u)*h = -(-22/11)*5 = 10 cm

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