Physics: Principles with Applications
Physics: Principles with Applications
6th Edition
ISBN: 9780130606204
Author: Douglas C. Giancoli
Publisher: Prentice Hall
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Chapter 23, Problem 82GP
To determine

Part (a) To Determine:

The meaning of the limiting case of spherical mirror is plane mirror.

Expert Solution
Check Mark

Answer to Problem 82GP

Solution:

Yes, plane mirror is the limiting case of spherical mirror.

Explanation of Solution

Given Info:

Let height of object be +h0 and height of image be hi

Let Object distance be u and Image distance be v

Let the focal length of mirror be ‘f’

Formula Used:

Apply focal length formula for spherical mirror

1f=1v+1u

Here, all alphabets are in their usual meanings.

Calculation:

A plane mirror can be considered a limiting case of a spherical mirror.

This will be only applicable when its radius of curvature increases then its surface becomes flatter. When its radius becomes infinity then its focal length will also be infinity and finally it will behave as plane mirror.

Hence, we can say; plane mirror is the limiting case of spherical mirror.

To determine

Part (b) To Determine:

The equation related to image and object distances in term of the limit of plane mirror.

Expert Solution
Check Mark

Answer to Problem 82GP

Solution:

The equation related to image and object distances in term of the limit of plane mirror is v+u=0

Explanation of Solution

Given Info:

Let height of object be +h0 and height of image be hi

Let Object distance be u and Image distance be v

Let the focal length of mirror be ‘f’

Formula Used:

Apply focal length formula for spherical mirror

1f=1v+1u

Here, all alphabets are in their usual meanings.

Calculation:

Apply focal length formula for spherical mirror

1f=1v+1u1=1v+1uincaseofplanemirror,f=or,v=u(i)or,v+u=0

This is the required equation.

To determine

Part (c) To Determine:

The magnification of plane mirror.

Expert Solution
Check Mark

Answer to Problem 82GP

Solution:

The magnification of plane mirror ‘m’ = + 1

Explanation of Solution

Given Info:

Let height of object be +h0 and height of image be hi

Let Object distance be u and Image distance be v

Let the focal length of mirror be ‘f’

Formula Used:

Magnification of spherical mirror m=hih0=vu

Here, all alphabets are in their usual meanings.

Calculation:

Apply focal length formula for spherical mirror

1f=1v+1u1=1v+1uincaseofplanemirror,f=or,v=u(i)

Magnification of spherical mirror m=hih0=vu

In case of plane mirror, we use equation (i)

Magnification of mirror m=vum=u+uor,m=+1(ii)

To determine

Part (d) To Determine:

Are the above results consistent.

Expert Solution
Check Mark

Answer to Problem 82GP

Solution:

Yes, the result of part (b)and part (c)both are the consistence results in terms of plane mirror which is the limiting case of spherical mirror.

Explanation of Solution

Given Info:

Let height of object be +h0 and height of image be hi

Let Object distance be u and Image distance be v

Let the focal length of mirror be ‘f’

Formula Used:

Apply focal length formula for spherical mirror

1f=1v+1u

Magnification of spherical mirror m=hih0=vu

Here, all alphabets are in their usual meanings.

Calculation:

Apply focal length formula for spherical mirror

1f=1v+1u1=1v+1uincaseofplanemirror,f=or,v=u(i)or,v+u=0

This is the required equation.

Magnification of spherical mirror m=hih0=vu

In case of plane mirror, we use equation (i)

Magnification of mirror m=vum=u+uor,m=+1(ii)

From equation (i)and (ii), we conclude that part (b)and part (c)both are the consistent results in terms of plane mirror which is the limiting case of spherical mirror.

Chapter 23 Solutions

Physics: Principles with Applications

Ch. 23 - Prob. 11QCh. 23 - You look into an aquarium and view a fish inside....Ch. 23 - Prob. 13QCh. 23 - Prob. 14QCh. 23 - A child looks into a pool to see how deep it is....Ch. 23 - Prob. 16QCh. 23 - Prob. 17QCh. 23 - Prob. 18QCh. 23 - Prob. 19QCh. 23 - Prob. 20QCh. 23 - Prob. 21QCh. 23 - Prob. 22QCh. 23 - Prob. 23QCh. 23 - Prob. 24QCh. 23 - Prob. 25QCh. 23 - Prob. 26QCh. 23 - Prob. 27QCh. 23 - Prob. 28QCh. 23 - Prob. 29QCh. 23 - Prob. 30QCh. 23 - Prob. 31QCh. 23 - Prob. 32QCh. 23 - Prob. 33QCh. 23 - Prob. 1PCh. 23 - Prob. 2PCh. 23 - Two plane mirrors meet at a 1350 angle, Fig....Ch. 23 - Prob. 4PCh. 23 - Prob. 5PCh. 23 - Prob. 6PCh. 23 - Suppose you are 94 cm from a plane mirror. What...Ch. 23 - A solar cooker, really a concave mirror pointed at...Ch. 23 - How far from a concave mirror (radius 21.0 cm)...Ch. 23 - A small candle is 38 cm from a concave mirror...Ch. 23 - An object 3.0 mm high is placed 16 cm from a...Ch. 23 - A dentist wants a small mirror that, when 2.00 cm...Ch. 23 - You are standing 3.4 m from a convex security...Ch. 23 - The image of a distant tree is virtual and very...Ch. 23 - Prob. 15PCh. 23 - Prob. 16PCh. 23 - Prob. 17PCh. 23 - Some rearview mirrors produce images of cars to...Ch. 23 - Prob. 19PCh. 23 - Prob. 20PCh. 23 - Prob. 21PCh. 23 - Prob. 22PCh. 23 - Prob. 23PCh. 23 - Prob. 24PCh. 23 - Prob. 25PCh. 23 - Prob. 26PCh. 23 - Prob. 27PCh. 23 - Prob. 28PCh. 23 - Prob. 29PCh. 23 - Prob. 30PCh. 23 - Prob. 31PCh. 23 - Rays of the Sunare seen to make a 36.0° angle to...Ch. 23 - Prob. 33PCh. 23 - A beam of light in air strikes a slab of glass (n...Ch. 23 - Prob. 35PCh. 23 - Prob. 36PCh. 23 - Prob. 37PCh. 23 - Prob. 38PCh. 23 - Prob. 39PCh. 23 - Prob. 40PCh. 23 - 39. (Ill) (a) What is the minimum index of...Ch. 23 - 40. (Ill) A beam of light enters the end of an...Ch. 23 - Prob. 43PCh. 23 - Prob. 44PCh. 23 - Prob. 45PCh. 23 - Prob. 46PCh. 23 - Prob. 47PCh. 23 - Prob. 48PCh. 23 - Prob. 49PCh. 23 - Prob. 50PCh. 23 - A stamp collector uses a converging lens with...Ch. 23 - Prob. 52PCh. 23 - Prob. 53PCh. 23 - Prob. 54PCh. 23 - Prob. 55PCh. 23 - Prob. 56PCh. 23 - Prob. 57PCh. 23 - Prob. 58PCh. 23 - Prob. 59PCh. 23 - Prob. 60PCh. 23 - A diverging lens with f= -36.5 cm is placed 14.0...Ch. 23 - Prob. 62PCh. 23 - Prob. 63PCh. 23 - Two lenses, one converging with focal length 20.0...Ch. 23 - Prob. 65PCh. 23 - A double concave lens has surface radii of 33.4 cm...Ch. 23 - Prob. 67PCh. 23 - Prob. 68PCh. 23 - Prob. 69PCh. 23 - Prob. 70PCh. 23 - Prob. 71PCh. 23 - Prob. 72GPCh. 23 - Prob. 73GPCh. 23 - Prob. 74GPCh. 23 - The critical angle of a certain piece of plastic...Ch. 23 - Prob. 76GPCh. 23 - Prob. 77GPCh. 23 - Prob. 78GPCh. 23 - Prob. 79GPCh. 23 - Prob. 80GPCh. 23 - 77 77. If the apex of a prism is ? = 75o (see...Ch. 23 - Prob. 82GPCh. 23 - Prob. 83GPCh. 23 - Prob. 84GPCh. 23 - Prob. 85GPCh. 23 - Prob. 86GPCh. 23 - Prob. 87GPCh. 23 - Figure 23-65is a photograph of an eyeball with the...Ch. 23 - Prob. 89GPCh. 23 - Prob. 90GPCh. 23 - 87 ‘(a) Show that if two thin lenses of focal...Ch. 23 - Prob. 92GPCh. 23 - Prob. 93GPCh. 23 - Prob. 94GP
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