Tutorial ExerciseA man standing 1.61 m in front of a shaving mirror produces an inverted image 16.9 cm in front of it. How close to the mirror should he stand if he wants to form an upright image of his chin that is twice the chin's actual size?Step 1When the man stands 1.61 m in front of the mirror, the object is located at a distance p = +1.61 m 161 cm. We are given that a real image is formed at the image distance of q = +16.9 cm. We find the focal length f of the mirror from the mirror equation,1/f 1/p+1/q. Solving for the focal length, we obtain the following.pqp+qFor the product in the numerator,pg=cm²,and for the sum in the denominator,cm,and thus for the focal length, we obtainSubmitpqp+qSkip (you cannot come back)cm.

Please see the attached image for the solution.If there are queries, please do not hesitate to ask.…

Answered: Tutorial Exercise A man standing 1.61 m…

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter25: Geometric Optics

Section: Chapter Questions

Problem 1PE: Suppose a man stands in front of a mirror as shown in Figure 25.50. His eyes are 1.65 m above the...

See similar textbooks

Similar questions

A 1.80-m-tall person stands 9.00 m in front of a large, concave spherical mirror having a radius of curvature of 3.00 m. Determine (a) the mirrors focal length, (b) the image distance, and (c) the magnification. (d) Is the image real or virtual? (e) Is the image upright or inverted?
(a) A concave spherical mirror forms an inverted image 4.00 times larger than the object. Assuming the distance between object and image is 0.600 m, find the focal length of the minor, (b) What If? Suppose the mirror is convex. The distance between the image and the object is the same as in part (a), but the image is 0.500 the size of the object. Determine the focal length of the mirror.
Suppose a man stands in front of a mirror as shown in Figure 25.50. His eyes are 1.65 m above the floor, and the top of his head is 0.13 m higher. Find the height above the floor of the top and bottom of the smallest mirror in which he can see both the top of his head and his feet. How is this distance related to the man’s height? Figure 25.50 A full-length mirror is one in which you can see all of yourself. It need not be as big as you, and its size is independent of your distance from it.
A concave mirror has a radius of curvature of 60.0 cm. Calculate the image position and magnification of an object placed in front of the mirror at distances of (a) 90.0 cm and (b) 20.0 cm. (c) Draw ray diagrams to obtain the image characteristics in each case.
Consider a pair of flat mirrors that are positioned so that they form an angle of 120 . An object is placed on the bisector between the minors. Construct a ray diagram as in Figure 2.4 to show how many images are formed. Figure 2.4 Two minors can produce multiple images. (a) Three images of a plastic lead are visible in the two minors at a right angle. (b) A single object reflecting from two minors at a right angle can produce three images, as shown by the greet, purple, and red images.
If Joshs face is 30.0 cm in front of a concave shaving mirror creating an upright image 1.50 times as large as the object, what is the mirrors focal length? (a) 12.0 cm (b) 20.0 cm (c) 70.0 cm (d) 90.0 cm (e) none of those answers
(i) When an image of an object is formed by a plane mirror, which of the following statements is always true? More than one statement may be correct. (a) The image is virtual. (b) The image is real. (c) The image is upright. (d) The image is inverted. (e) None of those statements is always true. (ii) When the image of an object is formed by a concave mirror, which of the preceding statements are always true? (iii) When the image of an object is formed by a convex mirror, which of the preceding statements are always true?
What are the differences between real and virtual images? How can you tell (by looking) whether an image formed by a single lens or mirror is real or virtual?
Consider a pair of flat mirrors that are positioned so that they form an angle of 60 .. An object is placed on the bisector between the mirrors. Construct a ray diagram as in Figure 2.4 to show how many images ale formed. Figure 2.4 Two minors can produce multiple images. (a) Three images of a plastic lead are visible in the two minors at a right angle. (b) A single object reflecting from two minors at a right angle can produce three images, as shown by the greet, purple, and red images.
An object 1.50 cm high is held 3.00 cm from a person’s cornea, and its reflected image is measured to be 0.167 cm high. (a) What is the magnification? (b) Where is the image? (c) Find the radius of curvature of the convex mirror formed by the cornea. (Note that this technique is used by optometrists to measure the curvature of the cornea for contact lens fitting. The instrument used is called a keratometer, or curve measurer.)
A concave spherical mirror has a radius of curvature of magnitude 24.0 cm. (a) Determine the object position for which the resulting image is upright and larger than the object by a factor of 3.00. (b) Draw a ray diagram to determine the position of the image. (c) Is the image real or virtual?
A periscope (Fig. P35.3) is useful for viewing objects that cannot be seen directly. It can be used in submarines and when watching golf matches or parades from behind a crowd of people. Suppose the object is a distance p1 from the upper mirror and the centers of the two flat mirrors are separated by a distance h. (a) What is the distance of the final image from the lower mirror? (b) Is the final image real or virtual? (c) Is it upright or inverted? (d) What is its magnification? (e) Does it appear to be left-right reversed? Figure P35.3

SEE MORE QUESTIONS

Recommended textbooks for you

College Physics

Physics

ISBN:

9781938168000

Author:

Paul Peter Urone, Roger Hinrichs

Publisher:

OpenStax College

Principles of Physics: A Calculus-Based Text

Physics

ISBN:

9781133104261

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

Physics for Scientists and Engineers, Technology …

Physics

ISBN:

9781305116399

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

College Physics

Physics

ISBN:

9781938168000

Author:

Paul Peter Urone, Roger Hinrichs

Publisher:

OpenStax College

Principles of Physics: A Calculus-Based Text

Physics

ISBN:

9781133104261

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

Physics for Scientists and Engineers, Technology …

Physics

ISBN:

9781305116399

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

University Physics Volume 3

Physics

ISBN:

9781938168185

Author:

William Moebs, Jeff Sanny

Publisher:

OpenStax

Physics for Scientists and Engineers

Physics

ISBN:

9781337553278

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

Physics for Scientists and Engineers with Modern …

Physics

ISBN:

9781337553292

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS