A concave spherical mirror has a radius of curvature of magnitude 20.2 cm. (a) Find the location of the image for the following object distances. (If there is no image formed enter "NONE".) object distance (cm) image distance (cm) location 10.1 What is the relationship between the object and image distances and the focal length of a mirror? 39.4 in front of the mirror 20.2 NONE 20.2 in front of the mirror 10.1 There is no image formed. V (b) For each case, state whether the image is real or virtual. object distance (cm) real/virtual 39.4 real 20.2 real 10.1 There is no image formed. v (c) For each case, state whether the image is upright or inverted. object distance (cm) real/virtual inverted inverted 39.4 20.2 10.1 There is no image formed. V (d) Find the magnification in each case. (If there is no image formed enter "NONE".) magnification -0.0018 Recall that the object and image heights are related through similar triangles to the object and image distances. object distance (cm) 39.4 20.2 -1 10.1 NONE

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter37: Reflection And Images Formed By Reflection
Section: Chapter Questions
Problem 29PQ: A convex mirror with a radius of curvature of 25.0 cm is used to form an image of an arrow that is...
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A concave spherical mirror has a radius of curvature of magnitude 20.2 cm.
(a) Find the location of the image for the following object distances. (If there is no image formed enter "NONE".)
object distance (cm)
image distance (cm)
location
10.1
39.4
in front of the mirror
What is the relationship between the object and image distances and the focal length of a mirror?
20.2
20.2
in front of the mirror
10.1
NONE
There is no image formed.
(b) For each case, state whether the image is real or virtual.
object distance (cm)
real/virtual
39.4
real
20.2
real
10.1
There is no image formed.
(c) For each case, state whether the image is upright or inverted.
object distance (cm)
real/virtual
39.4
inverted
20.2
inverted
10.1
There is no image formed. v
(d) Find the magnification in each case. (If there is no image formed enter "NONE".)
object distance (cm)
magnification
-0.0018
39.4
Recall that the object and image heights are related through similar triangles to the object and image distances.
20.2
-1
10.1
NONE
Transcribed Image Text:A concave spherical mirror has a radius of curvature of magnitude 20.2 cm. (a) Find the location of the image for the following object distances. (If there is no image formed enter "NONE".) object distance (cm) image distance (cm) location 10.1 39.4 in front of the mirror What is the relationship between the object and image distances and the focal length of a mirror? 20.2 20.2 in front of the mirror 10.1 NONE There is no image formed. (b) For each case, state whether the image is real or virtual. object distance (cm) real/virtual 39.4 real 20.2 real 10.1 There is no image formed. (c) For each case, state whether the image is upright or inverted. object distance (cm) real/virtual 39.4 inverted 20.2 inverted 10.1 There is no image formed. v (d) Find the magnification in each case. (If there is no image formed enter "NONE".) object distance (cm) magnification -0.0018 39.4 Recall that the object and image heights are related through similar triangles to the object and image distances. 20.2 -1 10.1 NONE
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