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Find the focal length of a concave mirror if an object 17 cm from the mirror...

Find the focal length of a concave mirror if an object 17 cm from the mirror has a virtual image 2.6 times the object's actual size.

Express your answer in cm using two significant figures.

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Answer #1

magnification m = +2.6


m = -s'/s


-s'/s = +2.6

s' = -2.6*s = -2.6*17

from lens equation


1/s + 1/s = 1/f

1/17 - 1/(17*2.6) = 1/f

f = 27.6 cm

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