Class 10 Exam > Class 10 Questions > How far should one hold an object from a conc...
Start Learning for Free
How far should one hold an object from a concave mirror of focal length 40 cm so as to her a virtual image twice the size of the object?
Most Upvoted Answer
How far should one hold an object from a concave mirror of focal lengt...
Answer
In order to find the distance of an object from a concave mirror to get a virtual image twice the size of the object, we need to use the mirror formula:
1/f = 1/v - 1/u
Where:
- f is the focal length of the mirror
- v is the distance of the image from the mirror
- u is the distance of the object from the mirror
Determine the required values
As per the problem statement, the focal length of the mirror is 40 cm. Let's assume that the distance of the object from the mirror is u cm and the distance of the image from the mirror is v cm.
Given that the virtual image is twice the size of the object, we can write:
magnification = height of image / height of object = 2
Since the image is virtual, its height is negative, while the height of the object is positive. Therefore, we can write:
magnification = -v / u = 2
Solving for v, we get:
v = -2u
Substitute the values in mirror formula
Now, we can substitute the values of f and v in the mirror formula to get:
1/40 = 1/-2u - 1/u
Simplifying the equation, we get:
-u/20 = 1/-2u
Cross multiplying, we get:
-2u^2 = 20u
Simplifying further, we get:
u = -10 cm
Since the distance of the object from the mirror cannot be negative, we can take the absolute value and write:
u = 10 cm
Final Answer
Therefore, the object should be held at a distance of 10 cm from the concave mirror to get a virtual image twice the size of the object.
Community Answer
How far should one hold an object from a concave mirror of focal lengt...
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
How far should one hold an object from a concave mirror of focal length 40 cm so as to her a virtual image twice the size of the object?
Question Description
How far should one hold an object from a concave mirror of focal length 40 cm so as to her a virtual image twice the size of the object? 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 How far should one hold an object from a concave mirror of focal length 40 cm so as to her a virtual image twice the size of the object? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How far should one hold an object from a concave mirror of focal length 40 cm so as to her a virtual image twice the size of the object?.
How far should one hold an object from a concave mirror of focal length 40 cm so as to her a virtual image twice the size of the object? 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 How far should one hold an object from a concave mirror of focal length 40 cm so as to her a virtual image twice the size of the object? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How far should one hold an object from a concave mirror of focal length 40 cm so as to her a virtual image twice the size of the object?.
Solutions for How far should one hold an object from a concave mirror of focal length 40 cm so as to her a virtual image twice the size of the object? 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 How far should one hold an object from a concave mirror of focal length 40 cm so as to her a virtual image twice the size of the object? defined & explained in the simplest way possible. Besides giving the explanation of
How far should one hold an object from a concave mirror of focal length 40 cm so as to her a virtual image twice the size of the object?, a detailed solution for How far should one hold an object from a concave mirror of focal length 40 cm so as to her a virtual image twice the size of the object? has been provided alongside types of How far should one hold an object from a concave mirror of focal length 40 cm so as to her a virtual image twice the size of the object? theory, EduRev gives you an
ample number of questions to practice How far should one hold an object from a concave mirror of focal length 40 cm so as to her a virtual image twice the size of the object? 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup