Glencoe Physical Science 2012 Student Edition (Glencoe Science) (McGraw-Hill Education)
Glencoe Physical Science 2012 Student Edition (Glencoe Science) (McGraw-Hill Education)
1st Edition
ISBN: 9780078945830
Author: Charles William McLaughlin, Marilyn Thompson, Dinah Zike
Publisher: Glencoe Mcgraw-Hill
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Chapter 13, Problem 7STP
To determine

To Choose: The correct option.

Expert Solution & Answer
Check Mark

Explanation of Solution

Introduction:

A curved mirror is a mirror with a curved surface which reflects. The surface can be convex or concave. Many curved mirrors have surfaces shaped like part of a sphere but often other shapes are used in optical devices.

Given,

  Glencoe Physical Science 2012 Student Edition (Glencoe Science) (McGraw-Hill Education), Chapter 13, Problem 7STP

Object length is 225cm

Formula:

Lens formula

  1v1u=1f

Here, u is the object distance, v is the image distance and f is the focal length.

Magnification m=vu

Substitute, 250 cm for u and 62.5 cm for v in the lens formula.

  1v1u=1f162.51250=1ff=250×62.525062.5f=83.3 cm

Since the focal length is 83.3 cm .

Then,

  1v1u=1f1v1225=183.3v=225×83.3225+83.3v=60.79cm

Now, Substitute 60.79cm for v and 225cm for u in magnification equation

  m=vum=60.79225=0.27

Therefore magnification is nearly equal to 0.30

Conclusion:

The correct answer is C.

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AP Physics 2 - Geometric Optics: Mirrors and Lenses - Intro Lesson; Author: N. German;https://www.youtube.com/watch?v=unT297HdZC0;License: Standard YouTube License, CC-BY