Physics for Scientists and Engineers, Technology Update (No access codes included)
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN: 9781305116399
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 36, Problem 36.83AP

(a)

To determine

The light intensity at the surface of the light bulb.

(a)

Expert Solution
Check Mark

Answer to Problem 36.83AP

The light intensity at the surface of the light bulb is 1.40kW/m2 .

Explanation of Solution

Given info:

The diameter of the spherical light bulb is 3.20cm an the power of light bulb is 4.50W .

Formula to calculate the intensity at the surface of the light bulb is,

I=P4π(d2)2

Here,

P is the power of light bulb.

d is the diameter of the spherical light bulb.

Substitute 3.20cm for d and 4.50W for P in the above equation.

I=4.50W4π(3.20cm(102m1cm)2)2=1398.8W/m2(1kW/m2103W/m2)1.40kW/m2

Conclusion:

Therefore, the light intensity at the surface of the light bulb is 1.40kW/m2 .

(b)

To determine

The light intensity at a distance 7.20m from the center of the light bulb.

(b)

Expert Solution
Check Mark

Answer to Problem 36.83AP

The light intensity at a distance 7.20m from the center of the light bulb is 6.91mW/m2 .

Explanation of Solution

Given info: The diameter of the spherical light bulb is 3.20cm an the power of light bulb is 4.50W .

Formula to calculate the intensity at a distance 7.20m from the center of the light bulb,

,

I=P4π(r)2

Here,

P is the power of light bulb.

r is the distance from the center of the light bulb.

Substitute 7.20m for r and 4.50W for P in the above equation.

I=4.50W4π(7.20m)2=6.91mW/m2

Conclusion:

Therefore, the light intensity at a distance 7.20m from the center of the light bulb is 6.91mW/m2 .

(c)

To determine

The diameter of the light bulb image.

(c)

Expert Solution
Check Mark

Answer to Problem 36.83AP

The diameter of the light bulb image is 0.164cm .

Explanation of Solution

Given info: The diameter of the spherical light bulb is 3.20cm ,  the power of light bulb is 4.50W , the diameter of the circular lens is 15.0cm , the focal length of the lens is 35.0cm and the object distance is 7.2m .

From the lens maker formula,

1p+1q=1f

Here,

p is the object distance.

q is the image distance.

f is the focal length.

Substitute 7.2m for p and 35.0cm for f in the above equation.

17.2m+1q=135.0cm(102m1cm)q=0.368m

Thus, the image distance is 0.368m .

Formula to calculate the magnification of the image,

M=rr

Here,

r is the diameter of image of the spherical light bulb.

r is the diameter of spherical light bulb.

Formula to calculate the magnification of the image in terms of image and object distance is,

M=qp

Here,

q is the image distance.

p is the object distance.

Equate the equation (1) and (2) and then rearrange for r ,

rr=qpr=r(qp) (3)

Substitute 0.368m for q , 7.2m for p and 3.20cm for r in the equation (3).

r=(3.20cm)(0.368m7.2m)=0.164cm

Conclusion:

Therefore, the diameter of the light bulb image is 0.164cm .

(d)

To determine

The light intensity of the image.

(d)

Expert Solution
Check Mark

Answer to Problem 36.83AP

The light intensity of the image is 58.1W/m2 .

Explanation of Solution

Given info: The diameter of the spherical light bulb is 3.20cm ,  the power of light bulb is 4.50W , the diameter of the circular lens is 15.0cm , the focal length of the lens is 35.0cm and the object distance is 7.2m .

From part (b) the light intensity at a distance 7.20m from the center of the light bulb is 6.91mW/m2 .

From part (c) the diameter of the light bulb image is 0.164cm .

Formula to calculate the power of lens is,

P=IA (4)

Here,

I is the intensity at a distance 7.20m from the center of the light bulb.

A is the area of lens.

The area of the lens is,

A=π4(d)2

Substitute 15.0cm for d in the above equation.

A=π4[15.0cm(102m1cm)]2=0.0176m2

The area of the lens is 0.0176m2 .

Substitute 6.91mW/m2 for I and 0.0176m2 for A in the equation (4).

P=(6.91×103W/m2)(0.0176m2)=0.121×103W

Formula to calculate the required intensity of bulb light image,

I=PAimage (5)

The area of image is,

Aimage=π4(h)2

Substitute 0.164cm for h in the above equation.

Aimage=π4[0.164cm(102m1cm)]2=0.021×104m2

Substitute 0.021×104m2 for Aimage and 0.121×103W in the equation (5).

I=0.121×103W0.021×104m2=58.1W/m2

Conclusion:

Therefore, the light intensity of the image is 58.1W/m2 .

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Chapter 36 Solutions

Physics for Scientists and Engineers, Technology Update (No access codes included)

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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