A concave mirror in an amusement park has a focal length of 2.51 m. A child stands in front of the mirror so that she appears 4.07 times taller than her actual height. If the image is upright, how far is she standing from the mirror? Express vour answer in m.

A concave mirror in an amusement park has a focal length of 2.51 m. A child stands in front of the mirror so that she appears 4.07 times taller than her actual height. If the image is upright, how far is she standing from the mirror? Express vour answer in m.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter37: Reflection And Images Formed By Reflection

Section: Chapter Questions

Problem 33PQ: An object is placed 25.0 cm from the surface of a convex mirror and an image is formed. The same...

See similar textbooks

Related questions

Q: .50 cm high object is placed 3.5 cm in front of a concave mirror. If the image is 4.5 cm high and…

A: Given Size of object h1 = 2.5 cm Size of image h2 = 4.5 cm Object distance u = - 3.5 cm

Q: n front of a spherical convex mirror of radius 37.7 cm, you position an object of height 3.02 cm…

A: To find the position of the object we will first use the magnification formula which is given by…

Q: A spherical, convex mirror has a radius of curvature of 0.326 m. What is the focal length of the…

A: radius of curvature = 0.326 mFocal length = ?

Q: A 2.50-cm-high object is placed 4.00 cm in front of a concave mirror. If the image is 6.00 cm high…

A: We are given the size of object. We are given the size of image also. The mirror used is concave…

Q: m in front of a convex mirror, the image being 7.00 cm behind the mirror. A second object, twice as…

A: Given:- An object is located u = 13.0 cm in front of a convex mirror The image is v = 7.00 cm…

Q: concave mirror has the focal length equal to 0.508 m. To form a real image that is triple the size…

Q: An object 3.34 cm tall is placed 9.230 cm in front of a mirror and creates an upright image that is…

A: Answer: Given, Height of object (h)=3.34 cm Height of image (h')= 5.62 cm Object distance (u)=…

Q: A 12.5 cm high object is placed 55.0 cm infront of a concave mirror with radius of curvature equal…

Q: A shopper standing 4 m from a convex security mirror sees his image with a magnification of 0.33.…

Q: A man stands in front of a vertic plane top of his head is 0.14 m higher than that. ho ht= h₁ Find…

Q: A concave mirror has a focal length of 40.6 cm. The distance between an object and its image is 74.8…

Q: If a concave mirror has a focal length of 8.00 cm, how far from the mirror is the image of an object…

A: Given that,focal length, f=8 cmObject distance, x0=40 cm

Q: A grasshopper hops to a point on the central axis of a spherical mirror. The absolute magnitude of…

A: The lateral magnification of the mirror,

Q: The focal length of a concave mirror has a magnitude of 20 cm. What is its radius of curvature?

A: Focal length =20 cm

Q: A concave makeup mirror is designed so that a person 25 cmin front of it sees an upright image…

A: Given:Object distance (u) = 25 cm

Q: For a convex spherical mirror that has focal length f = -12.0 cm, what is the distance of an object…

A: Formula of convex mirror is as follows; 1f=1u+1v…

Q: An object is placed 13 cm in front of a concave mirror whose focal length is 19 cm. The object is…

Q: When viewed in a spherical mirror, the image of a setting sun is a virtual image. The image lies 11…

Q: An ant is 9.9 cm tall and stands 6.9 cm in front of an unknown mirror. To its surprise, the ant sees…

A: GivenHeight of the ant(ho) =9.9 cmHeight of image (hi) =8.6 cm Distance of ant from the mirror (u)…

Q: A mirror produces an image that is located 32.0 cm behind the mirror, when the object is located…

A: object distance (d) =-6.80 cm image distance (i) = +32.0 cm (positive sign represents that the image…

Q: A convex spherical mirror has a radius of curvature, R = -16.8 cm. If an image formed by reflection…

Q: A vase which is 1.4 cm is placed 4.0 cm from a concave mirror. If the height of the image is 4.0 cm…

A: Given data: Object height (ho) = 1.4 cm Object distance (u) = 4.0 cm Image height (hi) = 4.0 cm…

Q: You are looking for a mirror that will enable you to see a 3.3-times magnified virtual image of an…

Q: The image produced by a convex mirror is located 13.0 cm behind the mirror. The focal length of the…

A: The equation for object distance using the lense formula is,

Q: A 1.80-cm-high object is placed 17.6 cm in front of a concave mirror with a 3.00 cm focal length.…

A: Given: The focal length is f=3.00 cm The object distance is u=17.6 cm

Concept explainers

Applications Of Reflection Of Light

When a light ray (termed as the incident ray) hits a surface and bounces back (forms a reflected ray), the process of reflection of light has taken place.

Sign Convention for Mirrors

A mirror is made of glass that is coated with a metal amalgam on one side due to which the light ray incident on the surface undergoes reflection and not refraction.

Question

A concave mirror in an amusement park has a focal length of 2.51 m. A child stands in front of the mirror so that she appears 4.07 times taller than her
actual height. If the image is upright, how far is she standing from the mirror?
Express your answer in m.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

An object is placed 25.0 cm from the surface of a convex mirror and an image is formed. The same object is placed 20.0 cm in front of a plane mirror and. again, an image is formed. Suppose in each ease the object is located at x = 0 and the mirrors lie along the positive x axis. If the images formed in the two mirrors lie at the same x coordinate, determine the radius of curvature of the convex mirror.
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
Use a ruler and a protractor to draw rays to find images in the following cases. (a) A point object located on the axis of a concave minor located at a point within the focal length from the vertex. (b) A point object located on the axis of a concave mirror located at a point farther than the focal length from the vertex. (c) A point object located on the axis of a convex mirror located at a point within the focal length from the vertex. (d) A point object located on the axis of a convex mirror located at a point farther than the focal length from the vertex. (e) Repeat (a)—(d) for a point object off the axis.
A convex mirror with a radius of curvature of 25.0 cm is used to form an image of an arrow that is 10.0 cm away from the mirror. If the arrow is 2.00 cm tall and inverted (pointing below the optical axis), what is the height of the arrows image?
Consider the lensmirror arrangement shown in Figure P35.55. There are two final image positions to the left of the lens of focal length fL. One image position is due to light traveling from the object to the left and passing through the lens. The other image position is due to light traveling to the right from the object, reflecting from the mirror of focal length fM and then passing through the lens. For a given object position p between the lens and the mirror and measured with respect to the lens, there are two separation distances d between the lens and mirror that will cause the two images described above to be at the same location. Find both positions.
The disk of the Sun subtends an angle of 0.533 at the Earth. What are (a) the position and (b) the diameter of the solar image formed by a concave spherical mirror with a radius of curvature of magnitude 3.00 m?
A water fountain is at the center of a circular pool as shown in Figure P1.59. A student walks around the pool and measures its circumference C. Next, he stands at the edge of the pool and uses a protractor to measure the angle of elevation of his sightline to the top of the water jet. How high is the fountain?
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 light bulb is placed 10 cm from a plane mirror, which faces a convex mirror of radius of curvature 8 cm. The plane mirror is located at a distance of 30 cm from the vertex of the convex mirror. Find the location of two images in the convex mirror. Are there other images? If so, where are they located?
Under what circumstances will an image be located at the focal point of a spherical lens or mirror?
The image formed by a convex spherical mirror with a focal length of magnitude 12.0 cm is located one-fourth of the object-mirror distance from the mirror. a. What is the distance of the object from the mirror? b. Is the image formed by the mirror upright or inverted? c. What is the magnification of this image?
(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?