Physics for Scientists and Engineers
Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 32, Problem 82P

(a)

To determine

The focal length of eyepiece.

(a)

Expert Solution
Check Mark

Explanation of Solution

Given:

Magnifying power of microscope is 600 .

The angular magnification of eyepiece is 15.0 .

The distance of objective lens from eyepiece is 22.0cm .

Formula used:

Write expression for angular magnification of eyepiece.

  Me=xfe  ........ (1)

Here, Me is angular magnification of eyepiece, x is far point of eye and fe is focal length of eyepiece.

Calculation:

Substitute 25cm for x and 15 for Me in equation (1) and solve for fe .

  15=25fefe=1.67cm

Conclusion:

Thus, the focal length of eyepiece is 1.67cm .

(b)

To determine

The location object so that it is in focus for normal eye.

(b)

Expert Solution
Check Mark

Explanation of Solution

Given:

Magnifying power of microscope is 600 .

The angular magnification of eyepiece is 15.0 .

The distance of objective lens from eyepiece is 22.0cm .

Formula used:

Write expression for angular magnification of eyepiece.

  Me=xfe  ........ (1)

Here, Me is angular magnification of eyepiece, x is far point of eye and fe is focal length of eyepiece.

Write expression for image distance.

  v=Lfe

Write expression for magnifying power of microscope.

  M=mome

Rearrange above expression for mo .

  mo=Mme

Substitute vu for mo in above expression.

  vu=Mme

Substitute Lfe for v in above expression.

  Lfeu=Mme

Rearrange above expression for u .

  u=me(feL)M  ........ (2)

Calculation:

Substitute 25cm for x and 15 for Me in equation (1) and solve for fe .

  15=25fefe=1.67cm

Substitute 15.0 for me , 1.67 for fe , 22.0 for L and 600 for M in equation (2).

  u=( 15)( 1.6722)600u=0.508cm

Conclusion:

Thus, the object is 0.508cm from the objective lens.

(c)

To determine

The focal length of objective lens.

(c)

Expert Solution
Check Mark

Explanation of Solution

Given:

Magnifying power of microscope is 600 .

The angular magnification of eyepiece is 15.0 .

The distance of objective lens from eyepiece is 22.0cm .

Formula used:

Write expression for angular magnification of eyepiece.

  Me=xfe  ........ (1)

Here, Me is angular magnification of eyepiece, x is far point of eye and fe is focal length of eyepiece.

Write expression for image distance.

  v=Lfe

Write expression for magnifying power of microscope.

  M=mome

Rearrange above expression for mo .

  mo=Mme

Substitute vu for mo in above expression.

  vu=Mme

Substitute Lfe for v in above expression.

  Lfeu=Mme

Rearrange above expression for u .

  u=me(feL)M  ........ (2)

Write expression for lens equation for objective lens.

  fo=vuv+u  ........ (3)

Calculation:

Substitute 25cm for x and 15 for Me in equation (1) and solve for fe .

  15=25fefe=1.67cm

Substitute 15.0 for me , 1.67 for fe , 22.0 for L and 600 for M in equation (2).

  u=( 15)( 1.6722)600u=0.508cm

Substitute 0.508cm for u , 221.67 for v in equation (3).

  fo=( 0.508)( 221.67)( 221.67)+( 0.508)fo=0.496cm

Conclusion:

Thus, the focal length of objective lens is 0.496cm .

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Chapter 32 Solutions

Physics for Scientists and Engineers

Ch. 32 - Prob. 11PCh. 32 - Prob. 12PCh. 32 - Prob. 13PCh. 32 - Prob. 14PCh. 32 - Prob. 15PCh. 32 - Prob. 16PCh. 32 - Prob. 17PCh. 32 - Prob. 18PCh. 32 - Prob. 19PCh. 32 - Prob. 20PCh. 32 - Prob. 21PCh. 32 - Prob. 22PCh. 32 - Prob. 23PCh. 32 - Prob. 24PCh. 32 - Prob. 25PCh. 32 - Prob. 26PCh. 32 - Prob. 27PCh. 32 - Prob. 28PCh. 32 - Prob. 29PCh. 32 - Prob. 30PCh. 32 - Prob. 31PCh. 32 - Prob. 32PCh. 32 - Prob. 33PCh. 32 - Prob. 34PCh. 32 - Prob. 35PCh. 32 - Prob. 36PCh. 32 - Prob. 37PCh. 32 - Prob. 38PCh. 32 - Prob. 39PCh. 32 - Prob. 40PCh. 32 - Prob. 41PCh. 32 - Prob. 42PCh. 32 - Prob. 43PCh. 32 - Prob. 44PCh. 32 - Prob. 45PCh. 32 - Prob. 46PCh. 32 - Prob. 47PCh. 32 - Prob. 48PCh. 32 - Prob. 49PCh. 32 - Prob. 50PCh. 32 - Prob. 51PCh. 32 - Prob. 54PCh. 32 - Prob. 55PCh. 32 - Prob. 56PCh. 32 - Prob. 57PCh. 32 - Prob. 58PCh. 32 - Prob. 59PCh. 32 - Prob. 60PCh. 32 - Prob. 61PCh. 32 - Prob. 62PCh. 32 - Prob. 63PCh. 32 - Prob. 64PCh. 32 - Prob. 65PCh. 32 - Prob. 66PCh. 32 - Prob. 67PCh. 32 - Prob. 68PCh. 32 - Prob. 69PCh. 32 - Prob. 70PCh. 32 - Prob. 71PCh. 32 - Prob. 72PCh. 32 - Prob. 73PCh. 32 - Prob. 74PCh. 32 - Prob. 75PCh. 32 - Prob. 76PCh. 32 - Prob. 77PCh. 32 - Prob. 78PCh. 32 - Prob. 79PCh. 32 - Prob. 80PCh. 32 - Prob. 81PCh. 32 - Prob. 82PCh. 32 - Prob. 83PCh. 32 - Prob. 84PCh. 32 - Prob. 85PCh. 32 - Prob. 86PCh. 32 - Prob. 87PCh. 32 - Prob. 88PCh. 32 - Prob. 89PCh. 32 - Prob. 90PCh. 32 - Prob. 91PCh. 32 - Prob. 92PCh. 32 - Prob. 93PCh. 32 - Prob. 94PCh. 32 - Prob. 95PCh. 32 - Prob. 96PCh. 32 - Prob. 97PCh. 32 - Prob. 98PCh. 32 - Prob. 99PCh. 32 - Prob. 100PCh. 32 - Prob. 101PCh. 32 - Prob. 102PCh. 32 - Prob. 103PCh. 32 - Prob. 104PCh. 32 - Prob. 105PCh. 32 - Prob. 106PCh. 32 - Prob. 107P
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