Class 10 Exam > Class 10 Questions > An object placed 15 cm from a convex mirror o...
Start Learning for Free
An object placed 15 cm from a convex mirror of radius of curvature 90cm calculate image position and magnification.?
Most Upvoted Answer
An object placed 15 cm from a convex mirror of radius of curvature 90c...
Community Answer
An object placed 15 cm from a convex mirror of radius of curvature 90c...
Calculation of Image Position and Magnification for Convex Mirror
Given:
Object distance, u = -15 cm (negative sign indicates that the object is placed in front of the mirror)
Radius of curvature, R = 90 cm
To find:
Image distance, v
Magnification, m
Formula:
The mirror formula for a convex mirror is 1/f = 1/v + 1/u, where f is the focal length of the mirror. For a convex mirror, the focal length is negative and given by f = -R/2.
Solution:
1. Find the focal length of the convex mirror:
f = -R/2 = -(90 cm)/2 = -45 cm
2. Substitute the given values in the mirror formula:
1/f = 1/v + 1/u
1/-45 = 1/v + 1/-15
-1/45 = 1/v - 1/15
-1/45 = (15 - v)/15v
-1 = (15 - v)/15
-15 = 15 - v
v = -30 cm
The negative sign of v indicates that the image is virtual and located behind the mirror.
3. Find the magnification of the convex mirror:
m = -v/u = (-30 cm)/(-15 cm) = 2
The magnification is positive, indicating that the image is upright and smaller than the object.
Answer:
The image distance is -30 cm, and the magnification is 2. The virtual image formed by the convex mirror is upright and smaller than the object.
Given:
Object distance, u = -15 cm (negative sign indicates that the object is placed in front of the mirror)
Radius of curvature, R = 90 cm
To find:
Image distance, v
Magnification, m
Formula:
The mirror formula for a convex mirror is 1/f = 1/v + 1/u, where f is the focal length of the mirror. For a convex mirror, the focal length is negative and given by f = -R/2.
Solution:
1. Find the focal length of the convex mirror:
f = -R/2 = -(90 cm)/2 = -45 cm
2. Substitute the given values in the mirror formula:
1/f = 1/v + 1/u
1/-45 = 1/v + 1/-15
-1/45 = 1/v - 1/15
-1/45 = (15 - v)/15v
-1 = (15 - v)/15
-15 = 15 - v
v = -30 cm
The negative sign of v indicates that the image is virtual and located behind the mirror.
3. Find the magnification of the convex mirror:
m = -v/u = (-30 cm)/(-15 cm) = 2
The magnification is positive, indicating that the image is upright and smaller than the object.
Answer:
The image distance is -30 cm, and the magnification is 2. The virtual image formed by the convex mirror is upright and smaller than the object.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
An object placed 15 cm from a convex mirror of radius of curvature 90cm calculate image position and magnification.?
Question Description
An object placed 15 cm from a convex mirror of radius of curvature 90cm calculate image position and magnification.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about An object placed 15 cm from a convex mirror of radius of curvature 90cm calculate image position and magnification.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An object placed 15 cm from a convex mirror of radius of curvature 90cm calculate image position and magnification.?.
An object placed 15 cm from a convex mirror of radius of curvature 90cm calculate image position and magnification.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about An object placed 15 cm from a convex mirror of radius of curvature 90cm calculate image position and magnification.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An object placed 15 cm from a convex mirror of radius of curvature 90cm calculate image position and magnification.?.
Solutions for An object placed 15 cm from a convex mirror of radius of curvature 90cm calculate image position and magnification.? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of An object placed 15 cm from a convex mirror of radius of curvature 90cm calculate image position and magnification.? defined & explained in the simplest way possible. Besides giving the explanation of
An object placed 15 cm from a convex mirror of radius of curvature 90cm calculate image position and magnification.?, a detailed solution for An object placed 15 cm from a convex mirror of radius of curvature 90cm calculate image position and magnification.? has been provided alongside types of An object placed 15 cm from a convex mirror of radius of curvature 90cm calculate image position and magnification.? theory, EduRev gives you an
ample number of questions to practice An object placed 15 cm from a convex mirror of radius of curvature 90cm calculate image position and magnification.? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup