Question
Medium
Solving time: 5 mins
The focal lengths of a convex lens for red, yellow and violet rays are 100 cm, 98 cm and 96 cm respectively. Find the dispersive power of the material of the lens.
Found 8 tutors discussing this question
Discuss this question LIVE
7 mins ago
Text solutionVerified
Focal lengths of the convex lens:
For red rays,
For yellow rays,
For violet rays,
Let
= Refractive index for the red colour
= Refractive index for the yellow colour
= Refractive index for the violet colour
Focal length of a lens is given by
Here, is the refractive index and and are the radii of curvatures of the lens.
Thus, we have
For red rays,
For yellow rays, ,
For violet rays,
Dispersive power (ω) is given by
Substituting the values, we get
Thus, the dispersive power of the material of the lens is 0.0408.
For red rays,
For yellow rays,
For violet rays,
Let
= Refractive index for the red colour
= Refractive index for the yellow colour
= Refractive index for the violet colour
Focal length of a lens is given by
Here, is the refractive index and and are the radii of curvatures of the lens.
Thus, we have
For red rays,
For yellow rays, ,
For violet rays,
Dispersive power (ω) is given by
Substituting the values, we get
Thus, the dispersive power of the material of the lens is 0.0408.
Was this solution helpful?
50
Share
Report
One destination to cover all your homework and assignment needs
Learn Practice Revision Succeed
Instant 1:1 help, 24x7
60, 000+ Expert tutors
Textbook solutions
Big idea maths, McGraw-Hill Education etc
Essay review
Get expert feedback on your essay
Schedule classes
High dosage tutoring from Dedicated 3 experts
Practice questions from Concepts of Physics (HC Verma Part I)
Question 2
Medium
Views: 5,448
Question 3
Medium
Views: 6,020
Question 4
Medium
Views: 5,496
(a) 9.8 cm,
(b) 10.2 cm from the lens.
Practice more questions from Ray Optics and Optical Instruments
Question 1
Hard
Views: 5,960
Question 2
Easy
Views: 5,278
For a higher resolving power of a compound microscope, the wavelength of light used should be ___________ .
Question 3
Medium
Views: 5,961
(a) at the surface of the sphere,
(b) at the centre of the sphere.
Practice questions on similar concepts asked by Filo students
Question 1
Views: 5,501
Question 2
Views: 5,220
Question 3
Views: 5,818
Question 4
Views: 5,977
Stuck on the question or explanation?
Connect with our Physics tutors online and get step by step solution of this question.
231 students are taking LIVE classes
Question Text | The focal lengths of a convex lens for red, yellow and violet rays are 100 cm, 98 cm and 96 cm respectively. Find the dispersive power of the material of the lens. |
Updated On | Jan 7, 2024 |
Topic | Ray Optics and Optical Instruments |
Subject | Physics |
Class | Class 12 |
Answer Type | Text solution:1 Video solution: 2 |
Upvotes | 194 |
Avg. Video Duration | 5 min |