Physics Exam  >  Physics Questions  >  The power (in diopters) of an equiconvex lens... Start Learning for Free
The power (in diopters) of an equiconvex lens with radii of curvature of 10 cm and refractive index o f 1.6 i s ________ .
    Correct answer is '12'. Can you explain this answer?
    Verified Answer
    The power (in diopters) of an equiconvex lens with radii of curvature ...
    The focal length of a lens is given as

    Here, n = 1.6. R=0.1 m. R2 = - 0.10 m
    So, 
    = (0.6) (20)
    1/f =12
    ⇒ Power P = 1/f = +12D
    View all questions of this test
    Most Upvoted Answer
    The power (in diopters) of an equiconvex lens with radii of curvature ...
    The power of an optical lens is a measure of its ability to bend light rays. It is represented in diopters (D) and is defined as the reciprocal of the focal length in meters. The power of a lens depends on its curvature and refractive index.

    Given information:
    - Radii of curvature (R) = 10 cm = 0.1 m
    - Refractive index (n) = 1.6

    To find the power of an equiconvex lens, we can use the lens maker's formula:

    1/f = (n - 1) * (1/R1 - 1/R2)

    where f is the focal length, R1 and R2 are the radii of curvature of the two lens surfaces.

    Calculating the focal length:
    Since the lens is equiconvex, the radii of curvature are equal, i.e., R1 = R2 = 0.1 m.

    1/f = (1.6 - 1) * (1/0.1 - 1/0.1)
    1/f = 0.6 * (10 - 10)
    1/f = 0

    From the equation, we can see that the focal length is 0, which means the lens is a plane sheet of glass and does not converge or diverge light. Therefore, the power of the lens is zero diopters.

    However, if we assume that the lens is not equiconvex and has different radii of curvature for each surface, we can calculate the power using the lens maker's formula. Let's assume the lens is convex on both sides with radii of curvature R1 and R2.

    Calculating the power:
    1/f = (n - 1) * (1/R1 - 1/R2)
    1/0 = (1.6 - 1) * (1/R1 - 1/R2)
    0 = 0.6 * (1/R1 - 1/R2)

    Since the lens is equiconvex, R1 = R2 = 0.1 m. Substituting these values into the equation:

    0 = 0.6 * (1/0.1 - 1/0.1)
    0 = 0.6 * (10 - 10)
    0 = 0

    Again, we find that the focal length is 0, and therefore, the power of the lens is zero diopters.

    So, there seems to be an error in the given answer. The correct power for an equiconvex lens with radii of curvature of 10 cm and a refractive index of 1.6 is 0 diopters, not 12 diopters.
    Explore Courses for Physics exam

    Similar Physics Doubts

    The power (in diopters) of an equiconvex lens with radii of curvature of 10 cm and refractive index o f 1.6 i s ________ .Correct answer is '12'. Can you explain this answer?
    Question Description
    The power (in diopters) of an equiconvex lens with radii of curvature of 10 cm and refractive index o f 1.6 i s ________ .Correct answer is '12'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about The power (in diopters) of an equiconvex lens with radii of curvature of 10 cm and refractive index o f 1.6 i s ________ .Correct answer is '12'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The power (in diopters) of an equiconvex lens with radii of curvature of 10 cm and refractive index o f 1.6 i s ________ .Correct answer is '12'. Can you explain this answer?.
    Solutions for The power (in diopters) of an equiconvex lens with radii of curvature of 10 cm and refractive index o f 1.6 i s ________ .Correct answer is '12'. Can you explain this answer? in English & in Hindi are available as part of our courses for Physics. Download more important topics, notes, lectures and mock test series for Physics Exam by signing up for free.
    Here you can find the meaning of The power (in diopters) of an equiconvex lens with radii of curvature of 10 cm and refractive index o f 1.6 i s ________ .Correct answer is '12'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The power (in diopters) of an equiconvex lens with radii of curvature of 10 cm and refractive index o f 1.6 i s ________ .Correct answer is '12'. Can you explain this answer?, a detailed solution for The power (in diopters) of an equiconvex lens with radii of curvature of 10 cm and refractive index o f 1.6 i s ________ .Correct answer is '12'. Can you explain this answer? has been provided alongside types of The power (in diopters) of an equiconvex lens with radii of curvature of 10 cm and refractive index o f 1.6 i s ________ .Correct answer is '12'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The power (in diopters) of an equiconvex lens with radii of curvature of 10 cm and refractive index o f 1.6 i s ________ .Correct answer is '12'. Can you explain this answer? tests, examples and also practice Physics tests.
    Explore Courses for Physics exam
    Signup for Free!
    Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
    10M+ students study on EduRev