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Two discs A and B are mounted coaxially on a vertical axle. The discs have moments of inertia I and 2I respectively about the common axis. Disc A is imparted an initial angular velocity 2w using the entire potential energy of a spring compressed by a distance x1. Disc B is imparted an angular velocity w by a spring having the same spring constant and compressed by a distance x2. Both the discs rotate in the clockwise direction.


The ratio x1/x2 is


[JEE' 2007]

  • a)
    2

  • b)
    1/2

  • c)
    √2

  • d)
    1/√2

Correct answer is option 'C'. Can you explain this answer?
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Two discs A and B are mounted coaxially on a vertical axle. The discs ...
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Two discs A and B are mounted coaxially on a vertical axle. The discs ...
The potential energy stored in the spring gets converted into the rotational kinetic energy of the discs.
For Disc A:

Simplifying:

For Disc B:

Simplifying:

Dividing Equation (1) by Equation (2):

This simplifies to:

Taking the square root on both sides:

The ratio 
Therefore, the correct answer is:
Option C: √2.
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Two discs A and B are mounted coaxially on a vertical axle. The discs have moments of inertiaIand 2Irespectively about the common axis. Disc A is imparted an initial angular velocity 2w using the entire potential energy of a spring compressed by a distance x1. Disc B is imparted an angular velocity w by a spring having the same spring constant and compressed by a distance x2. Both the discs rotate in the clockwise direction.The ratio x1/x2is[JEE 2007]a)2b)1/2c)√2d)1/√2Correct answer is option 'C'. Can you explain this answer?
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Two discs A and B are mounted coaxially on a vertical axle. The discs have moments of inertiaIand 2Irespectively about the common axis. Disc A is imparted an initial angular velocity 2w using the entire potential energy of a spring compressed by a distance x1. Disc B is imparted an angular velocity w by a spring having the same spring constant and compressed by a distance x2. Both the discs rotate in the clockwise direction.The ratio x1/x2is[JEE 2007]a)2b)1/2c)√2d)1/√2Correct answer is option 'C'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Two discs A and B are mounted coaxially on a vertical axle. The discs have moments of inertiaIand 2Irespectively about the common axis. Disc A is imparted an initial angular velocity 2w using the entire potential energy of a spring compressed by a distance x1. Disc B is imparted an angular velocity w by a spring having the same spring constant and compressed by a distance x2. Both the discs rotate in the clockwise direction.The ratio x1/x2is[JEE 2007]a)2b)1/2c)√2d)1/√2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two discs A and B are mounted coaxially on a vertical axle. The discs have moments of inertiaIand 2Irespectively about the common axis. Disc A is imparted an initial angular velocity 2w using the entire potential energy of a spring compressed by a distance x1. Disc B is imparted an angular velocity w by a spring having the same spring constant and compressed by a distance x2. Both the discs rotate in the clockwise direction.The ratio x1/x2is[JEE 2007]a)2b)1/2c)√2d)1/√2Correct answer is option 'C'. Can you explain this answer?.
Solutions for Two discs A and B are mounted coaxially on a vertical axle. The discs have moments of inertiaIand 2Irespectively about the common axis. Disc A is imparted an initial angular velocity 2w using the entire potential energy of a spring compressed by a distance x1. Disc B is imparted an angular velocity w by a spring having the same spring constant and compressed by a distance x2. Both the discs rotate in the clockwise direction.The ratio x1/x2is[JEE 2007]a)2b)1/2c)√2d)1/√2Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 11. Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
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