Shaving/makeup mirrors typically have one flat and one concave (magnifying) surf

Question

Shaving/makeup mirrors typically have one flat and one concave (magnifying) surface. You find that you can project a magnified image of a lightbulb onto the wall of your bathroom if you hold the mirror 1.8 m from the bulb and 3.0 m from the wall. What is the magnification of the image? Express your answer using two significant figures. m = _______ Part B Is the image erect or inverted? erect inverted Part C What is the focal length of the mirror? Express your answer using two significant figures. f = _______ m

Explanation / Answer

Part A

for a concave mirror

1/u + 1/v = 1/f

where u is oject distance, v is object distance and f is the focal length.

here v = -3m and u = -1.8 m

magnification m = -v/u

so, m = -(-3m)/(-1.8m) = -1.67

So, m = -1.67

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Part B

Since m is negative, image is inverted.

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Part C

1/u + 1/v = 1/f

1/(-1.8) + 1/(-3) = 1/f

or f = -1.125m

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This concludes the answers. Check the answer and let me know if it's correct. If you need any more clarification or correction, feel free to ask.....

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