Physics
Physics
3rd Edition
ISBN: 9781259233616
Author: GIAMBATTISTA
Publisher: MCG
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Chapter 23, Problem 68P

(a)

To determine

The width of the image on the screen.

(a)

Expert Solution
Check Mark

Answer to Problem 68P

The width of the image on the screen is 8.95m_.

Explanation of Solution

Given that the focal length of the lens is 29.5cm, the distance of the image from the lens is 38.0m, the width of the object is 70.0mm.

Write the thin lens formula.

    1p+1q=1f                                                                                                                (I)

Here, p is the object distance from the lens, q is the image distance from the lens, f is the focal length of the lens.

Solve equation (I) for p.

    p=(1f1q)1                                                                                                        (II)

Write the expression for the magnification of the image in terms of object distance and image distance.

  m=qp                                                                                                                (III)

Here, m is the magnification.

Write the expression for magnification of image in terms of height of object and image.

  m=hh                                                                                                                   (IV)

Here, h is the height of the image, and h is the height of the object.

Equate the right hand sides of equations (III) and (IV) and solve for h.

  qp=hhh=qhp                                                                                                             (V)

Conclusion:

Substitute 29.5cm for f and 38.0m for q in equation (II) to find p.

    p=(129.5cm×1m100cm138.0m)1=0.297m

Substitute 38.0m for q, 0.297m for p and 70.0mm for h in equation (V) to find h.

    h=(38.0m)(70.0mm)0.2973m=(38.0m)(70.0mm×1m1000mm)0.2973m=8.95m

Therefore, the width of the image on the screen is 8.95m_.

(b)

To determine

The type of the lens which is used in the projector.

(b)

Expert Solution
Check Mark

Answer to Problem 68P

The type of the lens which is used in the projector is converging lens.

Explanation of Solution

A converging lens will produce a virtual image when the object is located in front of the focal point. The focal length of the lens is positive quantity. It means that the focal point of the lens is on the other side of the lens from where the object is placed. A positive focal length means a lens is convex, capable of forming a real image.

Conclusion:

Therefore, the type of the lens which is used in the projector is converging lens_.

(c)

To determine

Whether the image on the screen upright or inverted compared with the film.

(c)

Expert Solution
Check Mark

Answer to Problem 68P

The image on the screen is inverted_ compared with the film.

Explanation of Solution

If the height of the image formed by the lens is h<0, the image formed will be inverted. The obtained value of the image height is 8.95m, which is negative, and hence the image on the screen is inverted.

Conclusion:

Therefore, the image on the screen is inverted_ compared with the film.

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Chapter 23 Solutions

Physics

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