If Jo's face is 35.1 cm in front of a concave shaving mirror creating an upright image 1.3 times as large as the object, what is the mirror's focal length (in cm)?

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter26: Image Formation By Mirrors And Lenses
Section: Chapter Questions
Problem 6OQ: If Joshs face is 30.0 cm in front of a concave shaving mirror creating an upright image 1.50 times...
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If Jo's face is 35.1 cm in front of a concave shaving mirror creating an upright image 1.3 times as large as the object, what is the mirror's focal length (in cm)?

Expert Solution
Step 1

Scenario - Jo' shaving mirror creates his magnified image, when his face is at a  certain distance from the mirror.

Given :

Object distanceu=35.1 cm

Magnificationm=1.3

Step 2

From formula of magnificationm=-vu

Putting given values in accordance to sign convention,

1.3=-v-35.1v=45.63 cm

So, by mirror formula we calculate focal length as 1f=1v+1u

 

 

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