Physics for Scientists and Engineers, Volume 1, Chapters 1-22
Physics for Scientists and Engineers, Volume 1, Chapters 1-22
8th Edition
ISBN: 9781439048382
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 36, Problem 36.80AP

(a)

To determine

The position of the objects image x as a function of the objects position x .

(a)

Expert Solution
Check Mark

Answer to Problem 36.80AP

The position of the objects image x as a function of the objects position x is x=102458.0x6.0x .

Explanation of Solution

Given info: The initial position of the object is 0cm , the focal length of the converging lens is 26.0cm , the position of the lens is 32.0cm and the final position of the object is 12.0cm .

The formula to calculate the focal length is,

1f=1p+1q

Here,

p is the position of the object.

q is the position of the image.

Consider the position of the image is x as the object moves and the position of the lens is 32.0cm . So, the position of the object as any instant is,

p=32cmx

Substitute 32cmx for p and 26.0cm for f in above equation to find the value of q .

126.0cm=132cmx+1qq=83226x6.0x

Thus, the position of the image for the minimum magnification is 83226x6.0x .

The formula to calculate the image position with respect to the object position is,

x=32.0+q

Substitute 83226x6.0x for q in above equation to find the value of x .

x=32.0+83226x6.0xx=102458.0x6.0x

Conclusion

Therefore, the position of the objects image x as a function of the objects position x is x=102458.0x6.0x .

(b)

To determine

The pattern of the images motion with reference to a table of values.

(b)

Expert Solution
Check Mark

Answer to Problem 36.80AP

The pattern of the images motion with reference to a table of values is shown below.

x Object position (cm) x Image position (cm)
0 170.7
1 193.2
2 227.0
3 283.3
4 396.0
5 734.0
6
7 618.0
8 280.0
9 167.3
10 111.0
11 77.2
12 54.7

Explanation of Solution

Given info: The initial position of the object is 0cm , the focal length of the converging lens is 26.0cm , the position of the lens is 32.0cm and the final position of the object is 12.0cm .

The formula to calculate the image distance is,

x=102458.0x6.0x

Taking the integer value of the position of the object as the integer values between 0 to 12 the corresponding values of the position of the image is provided in the table shown below.

x Object position (cm) x Image position (cm)
0 170.7
1 193.2
2 227.0
3 283.3
4 396.0
5 734.0
6
7 618.0
8 280.0
9 167.3
10 111.0
11 77.2
12 54.7

Conclusion

Therefore, the pattern of the images motion with reference to a table of values is shown below.

x Object position (cm) x Image position (cm)
0 170.7
1 193.2
2 227.0
3 283.3
4 396.0
5 734.0
6
7 618.0
8 280.0
9 167.3
10 111.0
11 77.2
12 54.7

(c)

To determine

The distance that the image moves when the object moves 12.0cm to the right.

(c)

Expert Solution
Check Mark

Answer to Problem 36.80AP

The image moves from infinity to beyond when the object moves 12.0cm to the right.

Explanation of Solution

Given info: The initial position of the object is 0cm , the focal length of the converging lens is 26.0cm , the position of the lens is 32.0cm and the final position of the object is 12.0cm .

The formula to calculate the image distance is,

x=102458.0x6.0x

Substitute 12 for x in above equation to find the value of x .

x=102458.0(12)6.0(12)=54.7

The image position at x at zero is 170.7 and at x equal 12 the position of the image is 54.7 . So the image moves first in the in the forward direction to infinity in the right and then jumps back to minus infinity on the left and then proceeds again in the forward direction.

Conclusion

Therefore, the image moves from infinity to beyond when the object moves 12.0cm to the right.

(d)

To determine

The direction of the image when the object moves 12.0cm to the right.

(d)

Expert Solution
Check Mark

Answer to Problem 36.80AP

The direction of the image movement is right but is opposite during the jump when the object moves 12.0cm to the right.

Explanation of Solution

Given info: The initial position of the object is 0cm , the focal length of the converging lens is 26.0cm , the position of the lens is 32.0cm and the final position of the object is 12.0cm .

The formula to calculate the image distance is,

x=102458.0x6.0x

The direction of the movement of the image is always right but the direction is left during the time when the image jumps to a negative infinite value form the positive infinite value. The image first moves in the positive x direction but between the value of 6cm and 7cm position of the object the image jumps in the negative infinite direction.

Conclusion

Therefore, the direction of the image movement is right but is opposite during the jump when the object moves 12.0cm to the right.

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Chapter 36 Solutions

Physics for Scientists and Engineers, Volume 1, Chapters 1-22

Ch. 36 - An object is located 50.0 cm from a converging...Ch. 36 - Prob. 36.4OQCh. 36 - A converging lens in a vertical plane receives...Ch. 36 - Prob. 36.6OQCh. 36 - Prob. 36.7OQCh. 36 - Prob. 36.8OQCh. 36 - A person spearfishing from a boat sees a...Ch. 36 - Prob. 36.10OQCh. 36 - A converging lens made of crown glass has a focal...Ch. 36 - A converging lens of focal length 8 cm forms a...Ch. 36 - Prob. 36.13OQCh. 36 - An object, represented by a gray arrow, is placed...Ch. 36 - Prob. 36.1CQCh. 36 - Prob. 36.2CQCh. 36 - Why do some emergency vehicles have the symbol...Ch. 36 - Prob. 36.4CQCh. 36 - Prob. 36.5CQCh. 36 - Explain why a fish in a spherical goldfish bowl...Ch. 36 - Prob. 36.7CQCh. 36 - Lenses used in eyeglasses, whether converging or...Ch. 36 - Suppose you want to use a converging lens to...Ch. 36 - Consider a spherical concave mirror with the...Ch. 36 - In Figures CQ36.11a and CQ36.11b, which glasses...Ch. 36 - Prob. 36.12CQCh. 36 - Prob. 36.13CQCh. 36 - Prob. 36.14CQCh. 36 - Prob. 36.15CQCh. 36 - Prob. 36.16CQCh. 36 - Prob. 36.17CQCh. 36 - Determine the minimum height of a vertical flat...Ch. 36 - In a choir practice room, two parallel walls are...Ch. 36 - (a) Does your bathroom mirror show you older or...Ch. 36 - Prob. 36.4PCh. 36 - A periscope (Fig. P35.3) is useful for viewing...Ch. 36 - Two flat mirrors have their reflecting surfaces...Ch. 36 - Two plane mirrors stand facing each other, 3.00 m...Ch. 36 - An object is placed 50.0 cm from a concave...Ch. 36 - A concave spherical mirror has a radius of...Ch. 36 - An object is placed 20.0 cm from a concave...Ch. 36 - A convex spherical mirror has a radius of...Ch. 36 - Prob. 36.12PCh. 36 - An object of height 2.00 cm is placed 30.0 cm from...Ch. 36 - A dentist uses a spherical mirror to examine a...Ch. 36 - A large hall in a museum has a niche in one wall....Ch. 36 - Why is the following situation impossible? At a...Ch. 36 - Prob. 36.17PCh. 36 - A certain Christmas tree ornament is a silver...Ch. 36 - (a) A concave spherical mirror forms an inverted...Ch. 36 - (a) A concave spherical mirror forms ail inverted...Ch. 36 - An object 10.0 cm tall is placed at the zero mark...Ch. 36 - A concave spherical mirror has a radius of...Ch. 36 - A dedicated sports car enthusiast polishes the...Ch. 36 - A convex spherical mirror has a focal length of...Ch. 36 - A spherical mirror is to be used to form an image...Ch. 36 - Review. A ball is dropped at t = 0 from rest 3.00...Ch. 36 - You unconsciously estimate the distance to an...Ch. 36 - Prob. 36.28PCh. 36 - One end of a long glass rod (n = 1.50) is formed...Ch. 36 - A cubical block of ice 50.0 cm on a side is placed...Ch. 36 - Prob. 36.31PCh. 36 - Prob. 36.32PCh. 36 - A flint glass, plate rests on the bottom of an...Ch. 36 - Figure P35.20 (page 958) shows a curved surface...Ch. 36 - Prob. 36.35PCh. 36 - Prob. 36.36PCh. 36 - A goldfish is swimming at 2.00 cm/s toward the...Ch. 36 - A thin lens has a focal length of 25.0 cm. Locate...Ch. 36 - An object located 32.0 cm in front of a lens forms...Ch. 36 - An object is located 20.0 cm to the left of a...Ch. 36 - The projection lens in a certain slide projector...Ch. 36 - An objects distance from a converging lens is 5.00...Ch. 36 - A contact lens is made of plastic with an index of...Ch. 36 - A converging lens has a focal length of 10.0 cm....Ch. 36 - A converging lens has a focal length of 10.0 cm....Ch. 36 - A diverging lens has a focal length of magnitude...Ch. 36 - Prob. 36.47PCh. 36 - Suppose an object has thickness dp so that it...Ch. 36 - The left face of a biconvex lens has a radius of...Ch. 36 - In Figure P35.30, a thin converging lens of focal...Ch. 36 - An antelope is at a distance of 20.0 m from a...Ch. 36 - Prob. 36.52PCh. 36 - A 1.00-cm-high object is placed 4.00 cm to the...Ch. 36 - The magnitudes of the radii of curvature are 32.5...Ch. 36 - Two rays traveling parallel to the principal axis...Ch. 36 - Prob. 36.56PCh. 36 - Figure 35.34 diagrams a cross section of a camera....Ch. 36 - Josh cannot see objects clearly beyond 25.0 cm...Ch. 36 - Prob. 36.59PCh. 36 - A person sees clearly wearing eyeglasses that have...Ch. 36 - Prob. 36.61PCh. 36 - A certain childs near point is 10.0 cm; her far...Ch. 36 - A person is to be fitted with bifocals. She can...Ch. 36 - A simple model of the human eye ignores its lens...Ch. 36 - A patient has a near point of 45.0 cm and far...Ch. 36 - A lens that has a focal length of 5.00 cm is used...Ch. 36 - The distance between the eyepiece and the...Ch. 36 - The refracting telescope at the Yerkes Observatory...Ch. 36 - A certain telescope has an objective mirror with...Ch. 36 - Astronomers often take photographs with the...Ch. 36 - Prob. 36.71APCh. 36 - A real object is located at the zero end of a...Ch. 36 - The distance between an object and its upright...Ch. 36 - Prob. 36.74APCh. 36 - Andy decides to use an old pair of eyeglasses to...Ch. 36 - Prob. 36.76APCh. 36 - The lens and mirror in Figure P36.77 are separated...Ch. 36 - Two converging lenses having focal lengths of f1 =...Ch. 36 - Figure P36.79 shows a piece of glass with index of...Ch. 36 - Prob. 36.80APCh. 36 - The object in Figure P36.81 is midway between the...Ch. 36 - In many applications, it is necessary to expand or...Ch. 36 - Prob. 36.83APCh. 36 - Prob. 36.84APCh. 36 - Two lenses made of kinds of glass having different...Ch. 36 - Why is the following situation impossible?...Ch. 36 - An object is placed 12.0 cm to the left of a...Ch. 36 - An object is placed a distance p to the left of a...Ch. 36 - An observer to the right of the mirror-lens...Ch. 36 - In a darkened room, a burning candle is placed...Ch. 36 - Prob. 36.91APCh. 36 - An object 2.00 cm high is placed 40.0 cm to the...Ch. 36 - Assume the intensity of sunlight is 1.00 kW/m2 at...Ch. 36 - A zoom lens system is a combination of lenses that...Ch. 36 - Figure P36.95 shows a thin converging lens for...Ch. 36 - A floating strawberry illusion is achieved with...Ch. 36 - Consider the lensmirror arrangement shown in...
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