Class 12 Exam > Class 12 Questions > The radii of curvature of two faces of a bico...
Start Learning for Free
The radii of curvature of two faces of a biconvex lens are 0.2 m and 0.25 m respectively. Find the focal length of the lens and the power of the lens RI of the material of the lens-1.6.?
Most Upvoted Answer
The radii of curvature of two faces of a biconvex lens are 0.2 m and 0...
Given:
- Radii of curvature of the two faces of the biconvex lens: r1 = 0.2 m, r2 = 0.25 m
- Refractive index of the material of the lens: n = 1.6
To find:
- Focal length of the lens
- Power of the lens
Formula:
- The focal length of a lens can be calculated using the lens maker's formula:
1/f = (n - 1) * ((1/r1) - (1/r2))
- The power of a lens is given by the formula:
P = 1/f
Calculation:
Focal length of the lens:
- Substitute the given values into the lens maker's formula:
1/f = (1.6 - 1) * ((1/0.2) - (1/0.25))
- Simplifying the equation:
1/f = 0.6 * (5 - 4) = 0.6 * 1 = 0.6
- Taking the reciprocal of both sides:
f = 1/0.6 = 1.67 m
Therefore, the focal length of the lens is 1.67 m.
Power of the lens:
- Substitute the value of the focal length into the power formula:
P = 1/f = 1/1.67 = 0.6 diopters
Therefore, the power of the lens is 0.6 diopters.
Conclusion:
The focal length of the biconvex lens is 1.67 m and the power of the lens is 0.6 diopters.
- Radii of curvature of the two faces of the biconvex lens: r1 = 0.2 m, r2 = 0.25 m
- Refractive index of the material of the lens: n = 1.6
To find:
- Focal length of the lens
- Power of the lens
Formula:
- The focal length of a lens can be calculated using the lens maker's formula:
1/f = (n - 1) * ((1/r1) - (1/r2))
- The power of a lens is given by the formula:
P = 1/f
Calculation:
Focal length of the lens:
- Substitute the given values into the lens maker's formula:
1/f = (1.6 - 1) * ((1/0.2) - (1/0.25))
- Simplifying the equation:
1/f = 0.6 * (5 - 4) = 0.6 * 1 = 0.6
- Taking the reciprocal of both sides:
f = 1/0.6 = 1.67 m
Therefore, the focal length of the lens is 1.67 m.
Power of the lens:
- Substitute the value of the focal length into the power formula:
P = 1/f = 1/1.67 = 0.6 diopters
Therefore, the power of the lens is 0.6 diopters.
Conclusion:
The focal length of the biconvex lens is 1.67 m and the power of the lens is 0.6 diopters.
|
Explore Courses for Class 12 exam
|
|
Similar Class 12 Doubts
The radii of curvature of two faces of a biconvex lens are 0.2 m and 0.25 m respectively. Find the focal length of the lens and the power of the lens RI of the material of the lens-1.6.?
Question Description
The radii of curvature of two faces of a biconvex lens are 0.2 m and 0.25 m respectively. Find the focal length of the lens and the power of the lens RI of the material of the lens-1.6.? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about The radii of curvature of two faces of a biconvex lens are 0.2 m and 0.25 m respectively. Find the focal length of the lens and the power of the lens RI of the material of the lens-1.6.? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The radii of curvature of two faces of a biconvex lens are 0.2 m and 0.25 m respectively. Find the focal length of the lens and the power of the lens RI of the material of the lens-1.6.?.
The radii of curvature of two faces of a biconvex lens are 0.2 m and 0.25 m respectively. Find the focal length of the lens and the power of the lens RI of the material of the lens-1.6.? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about The radii of curvature of two faces of a biconvex lens are 0.2 m and 0.25 m respectively. Find the focal length of the lens and the power of the lens RI of the material of the lens-1.6.? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The radii of curvature of two faces of a biconvex lens are 0.2 m and 0.25 m respectively. Find the focal length of the lens and the power of the lens RI of the material of the lens-1.6.?.
Solutions for The radii of curvature of two faces of a biconvex lens are 0.2 m and 0.25 m respectively. Find the focal length of the lens and the power of the lens RI of the material of the lens-1.6.? in English & in Hindi are available as part of our courses for Class 12.
Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.
Here you can find the meaning of The radii of curvature of two faces of a biconvex lens are 0.2 m and 0.25 m respectively. Find the focal length of the lens and the power of the lens RI of the material of the lens-1.6.? defined & explained in the simplest way possible. Besides giving the explanation of
The radii of curvature of two faces of a biconvex lens are 0.2 m and 0.25 m respectively. Find the focal length of the lens and the power of the lens RI of the material of the lens-1.6.?, a detailed solution for The radii of curvature of two faces of a biconvex lens are 0.2 m and 0.25 m respectively. Find the focal length of the lens and the power of the lens RI of the material of the lens-1.6.? has been provided alongside types of The radii of curvature of two faces of a biconvex lens are 0.2 m and 0.25 m respectively. Find the focal length of the lens and the power of the lens RI of the material of the lens-1.6.? theory, EduRev gives you an
ample number of questions to practice The radii of curvature of two faces of a biconvex lens are 0.2 m and 0.25 m respectively. Find the focal length of the lens and the power of the lens RI of the material of the lens-1.6.? tests, examples and also practice Class 12 tests.
|
|
Explore Courses for Class 12 exam
|
|
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