Class 10 Exam > Class 10 Questions > The focal length of a convex lens is 25cm.At ...
Start Learning for Free
The focal length of a convex lens is 25cm.At what distance from the optical centre of the lens an object be placed to obtain a virtual image of twice the size?
Verified Answer
The focal length of a convex lens is 25cm.At what distance from the op...
Focal length =25 cm so, distance between from optical center to focus is 25 cm and2f = 50 cmIf we place image between optical center and focus between 25 cm to 0 cm, Image formed is virtual magnified and larger in size and formed beyond the 25 cm of the lens on same side of lens.
This question is part of UPSC exam. View all Class 10 courses
Most Upvoted Answer
The focal length of a convex lens is 25cm.At what distance from the op...
V/u = 2 positive .since the image is virtual .since image is on the side of object :.v= 2u negative ,f = 25 cm positive . From relation 1/f= 1/v_1/u , ..answer will be obtained ..put the value in this relation..
Community Answer
The focal length of a convex lens is 25cm.At what distance from the op...
Calculating the Object Distance for Virtual Image Formation
- Given: Focal length (f) = 25 cm
- Image magnification (m) = 2
Formula for Magnification:
m = - (v/u)
Formula for Focal Length:
1/f = 1/v + 1/u
Calculating Image Distance (v):
Given that the image formed is virtual and twice the size of the object, the magnification (m) is 2. Therefore, m = -2.
Using the magnification formula, we have:
-2 = - (v/u)
Calculating Object Distance (u):
Substitute the given focal length (f = 25 cm) into the formula for focal length:
1/25 = 1/v + 1/u
1/v = 1/25 - 1/u
Now, substitute the value of magnification into the magnification formula:
-2 = - (v/u)
v = -2u
Putting it all together:
Substitute v = -2u into the focal length formula:
1/25 = 1/(-2u) + 1/u
1/25 = -2/u + 1/u
1/25 = -1/u
u = -25 cm
Therefore, the object should be placed at a distance of 25 cm from the optical centre of the convex lens to obtain a virtual image that is twice the size of the object.
- Given: Focal length (f) = 25 cm
- Image magnification (m) = 2
Formula for Magnification:
m = - (v/u)
Formula for Focal Length:
1/f = 1/v + 1/u
Calculating Image Distance (v):
Given that the image formed is virtual and twice the size of the object, the magnification (m) is 2. Therefore, m = -2.
Using the magnification formula, we have:
-2 = - (v/u)
Calculating Object Distance (u):
Substitute the given focal length (f = 25 cm) into the formula for focal length:
1/25 = 1/v + 1/u
1/v = 1/25 - 1/u
Now, substitute the value of magnification into the magnification formula:
-2 = - (v/u)
v = -2u
Putting it all together:
Substitute v = -2u into the focal length formula:
1/25 = 1/(-2u) + 1/u
1/25 = -2/u + 1/u
1/25 = -1/u
u = -25 cm
Therefore, the object should be placed at a distance of 25 cm from the optical centre of the convex lens to obtain a virtual image that is twice the size of 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
The focal length of a convex lens is 25cm.At what distance from the optical centre of the lens an object be placed to obtain a virtual image of twice the size?
Question Description
The focal length of a convex lens is 25cm.At what distance from the optical centre of the lens an object be placed to obtain a virtual image of twice the size? 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 The focal length of a convex lens is 25cm.At what distance from the optical centre of the lens an object be placed to obtain a virtual image of twice the size? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The focal length of a convex lens is 25cm.At what distance from the optical centre of the lens an object be placed to obtain a virtual image of twice the size?.
The focal length of a convex lens is 25cm.At what distance from the optical centre of the lens an object be placed to obtain a virtual image of twice the size? 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 The focal length of a convex lens is 25cm.At what distance from the optical centre of the lens an object be placed to obtain a virtual image of twice the size? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The focal length of a convex lens is 25cm.At what distance from the optical centre of the lens an object be placed to obtain a virtual image of twice the size?.
Solutions for The focal length of a convex lens is 25cm.At what distance from the optical centre of the lens an object be placed to obtain a virtual image of twice the size? 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 The focal length of a convex lens is 25cm.At what distance from the optical centre of the lens an object be placed to obtain a virtual image of twice the size? defined & explained in the simplest way possible. Besides giving the explanation of
The focal length of a convex lens is 25cm.At what distance from the optical centre of the lens an object be placed to obtain a virtual image of twice the size?, a detailed solution for The focal length of a convex lens is 25cm.At what distance from the optical centre of the lens an object be placed to obtain a virtual image of twice the size? has been provided alongside types of The focal length of a convex lens is 25cm.At what distance from the optical centre of the lens an object be placed to obtain a virtual image of twice the size? theory, EduRev gives you an
ample number of questions to practice The focal length of a convex lens is 25cm.At what distance from the optical centre of the lens an object be placed to obtain a virtual image of twice the size? 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