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 80P

(a)

To determine

The length of tube.

(a)

Expert Solution
Check Mark

Explanation of Solution

Given:

The power of both lenses is 20D .

Distance between lenses is 30cm .

Formula used:

Write expression for length of tube.

  L=Dfofe

Here, D is distance between lenses, fo is focal length of objective lens and fe is focal length of eye piece.

Substitute 1Po for fo and 1Pe for fe in above expression.

  L=D1Po1Pe  ........ (1)

Calculation:

Substitute 30cm for D , 20D for Po and 20D for Pe in equation (1).

  L=(30cm)( 1m 100cm)120120L=0.20m

Conclusion:

Thus, the length of tube is 0.20m .

(b)

To determine

The lateral magnification of the objective lens.

(b)

Expert Solution
Check Mark

Explanation of Solution

Given:

The power of both lenses is 20D .

Distance between lenses is 30cm .

Formula used:

Write expression for length of tube.

  L=Dfofe

Here, D is distance between lenses, fo is focal length of objective lens and fe is focal length of eye piece.

Substitute 1Po for fo and 1Pe for fe in above expression.

  L=D1Po1Pe  ........ (1)

Write expression for lateral magnification of microscope.

  mo=Lfo

Substitute 1Po for fo in above expression.

  mo=LPo  ........ (2)

Calculation:

Substitute 30cm for D , 20D for Po and 20D for Pe in equation (1).

  L=(30cm)( 1m 100cm)120120L=0.20m

Substitute 0.20m for L and 20D for Po in equation (2).

  m=(0.20m)(20D)m=4.0

Conclusion:

Thus, lateral magnification produced by objective lens is 4.0 .

(c)

To determine

The magnifying power of microscope.

(c)

Expert Solution
Check Mark

Explanation of Solution

Given:

The power of both lenses is 20D .

Distance between lenses is 30cm .

Formula used:

Write expression for length of tube.

  L=Dfofe

Here, D is distance between lenses, fo is focal length of objective lens and fe is focal length of eye piece.

Substitute 1Po for fo and 1Pe for fe in above expression.

  L=D1Po1Pe  ........ (1)

Write expression for lateral magnification of microscope.

  mo=Lfo

Substitute 1Po for fo in above expression.

  mo=LPo  ........ (2)

Write expression for magnifying power of microscope.

  M=moxfe

Here, x is near point and fe is focal length of eyepiece.

Substitute 1Pe for fe in above expression.

  M=moxPe  ........ (3)

Calculation:

Substitute 30cm for D , 20D for Po and 20D for Pe in equation (1).

  L=(30cm)( 1m 100cm)120120L=0.20m

Substitute 0.20m for L and 20D for Po in equation (2).

  mo=(0.20m)(20D)mo=4.0

Substitute 4.0 for mo , 25cm for x and 20D for Pe in equation (3).

  M=(4.0)(25cm)( 1m 100cm)(20D)M=20

Conclusion:

Thus, magnifying power of microscope is 20 .

(d)

To determine

The distance of object from objective lens.

(d)

Expert Solution
Check Mark

Explanation of Solution

Given:

The power of both lenses is 20D .

Distance between lenses is 30cm .

Formula used:

Write expression for lens equation for objective lens.

  1fo=1v+1u

Substitute fo+L for v in above expression.

  1fo=1u+1fo+L

Solve above expression for u .

  u=fo(fo+L)L  ........ (1)

Calculation:

Substitute 120m for fo and 20cm for L in equation (1).

  u=( 1 20 m)( 100cm 1m )( ( 1 20 m )( 100cm 1m )+20cm)20cmu=6.3cm

Conclusion:

Thus, the object is placed 6.3cm from the objective lens.

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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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