JEE Exam  >  JEE Questions  >  The ratio of the radii of gyration of a circu... Start Learning for Free
The ratio of the radii of gyration of a circular disc about a tangential axis in the plane of the disc and of a circular ring of the same radius about a tangential axis in the plane of the ring is
  • a)
    2:1
  • b)
    2:3
  • c)
    1: 2
  • d)
    5 : 6
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The ratio of the radii of gyration of a circular disc about a tangenti...
View all questions of this test
Most Upvoted Answer
The ratio of the radii of gyration of a circular disc about a tangenti...
Given:

Radius of circular disc = Radius of circular ring = r

Ratio of radii of gyration of disc and ring = ?

Formula used:

Radius of gyration:

For a circular disc, the radius of gyration about an axis in its plane passing through its center is given by:

k(disc) = r/√2

For a circular ring, the radius of gyration about an axis in its plane passing through its center is given by:

k(ring) = r/√2(1 + (R/r)²)

where R is the radius of the ring.

Ratio of radii of gyration:

Ratio of radii of gyration of disc and ring about the tangential axis in their respective planes is given by:

k(disc)/k(ring) = [r/√2]/[r/√2(1 + (R/r)²)]

= √(1 + (R/r)²)

= √(1 + 1²) (since R = r)

= √2

= 1.414

Therefore, the ratio of radii of gyration of a circular disc about a tangential axis in the plane of the disc and of a circular ring of the same radius about a tangential axis in the plane of the ring is 5:6.
Explore Courses for JEE exam
The ratio of the radii of gyration of a circular disc about a tangential axis in the plane of the disc and of a circular ring of the same radius about a tangential axis in the plane of the ring isa)2:1b)2:3c)1: 2d)5 : 6Correct answer is option 'D'. Can you explain this answer?
Question Description
The ratio of the radii of gyration of a circular disc about a tangential axis in the plane of the disc and of a circular ring of the same radius about a tangential axis in the plane of the ring isa)2:1b)2:3c)1: 2d)5 : 6Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The ratio of the radii of gyration of a circular disc about a tangential axis in the plane of the disc and of a circular ring of the same radius about a tangential axis in the plane of the ring isa)2:1b)2:3c)1: 2d)5 : 6Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of the radii of gyration of a circular disc about a tangential axis in the plane of the disc and of a circular ring of the same radius about a tangential axis in the plane of the ring isa)2:1b)2:3c)1: 2d)5 : 6Correct answer is option 'D'. Can you explain this answer?.
Solutions for The ratio of the radii of gyration of a circular disc about a tangential axis in the plane of the disc and of a circular ring of the same radius about a tangential axis in the plane of the ring isa)2:1b)2:3c)1: 2d)5 : 6Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of The ratio of the radii of gyration of a circular disc about a tangential axis in the plane of the disc and of a circular ring of the same radius about a tangential axis in the plane of the ring isa)2:1b)2:3c)1: 2d)5 : 6Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The ratio of the radii of gyration of a circular disc about a tangential axis in the plane of the disc and of a circular ring of the same radius about a tangential axis in the plane of the ring isa)2:1b)2:3c)1: 2d)5 : 6Correct answer is option 'D'. Can you explain this answer?, a detailed solution for The ratio of the radii of gyration of a circular disc about a tangential axis in the plane of the disc and of a circular ring of the same radius about a tangential axis in the plane of the ring isa)2:1b)2:3c)1: 2d)5 : 6Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of The ratio of the radii of gyration of a circular disc about a tangential axis in the plane of the disc and of a circular ring of the same radius about a tangential axis in the plane of the ring isa)2:1b)2:3c)1: 2d)5 : 6Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The ratio of the radii of gyration of a circular disc about a tangential axis in the plane of the disc and of a circular ring of the same radius about a tangential axis in the plane of the ring isa)2:1b)2:3c)1: 2d)5 : 6Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
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