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A solid sphere and a hollow sphere of the same mass have the same moments of inertia about their respective diameters, the ratio of their radii is
  • a)
    (5)1/2 : (3)1/2 
  • b)
     (3)1/2 : (5)1/2
  • c)
    3 : 2
  • d)
    2 : 3
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A solid sphere and a hollow sphere of the same mass have the same mome...
We know moment of inertia of solid sphere Is​=2​/5ms​Rs2​ and 
moment of inertia of hollow sphere IH​=2/3​mH​RH2 ​As per question Is​=IH​
Now,
2/5​ms​Rs2​=2/3​mH​RH2​
as the masses are equal the ratio of their radii will be 
​Rs2 /RH2 ​​=2/3​/​2/5​=√5/3​​=(5)1/2: (3)1/2
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A solid sphere and a hollow sphere of the same mass have the same moments of inertia about their respective diameters, the ratio of their radii isa)(5)1/2: (3)1/2b)(3)1/2: (5)1/2c)3 : 2d)2 : 3Correct answer is option 'A'. Can you explain this answer?
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A solid sphere and a hollow sphere of the same mass have the same moments of inertia about their respective diameters, the ratio of their radii isa)(5)1/2: (3)1/2b)(3)1/2: (5)1/2c)3 : 2d)2 : 3Correct answer is option 'A'. 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 A solid sphere and a hollow sphere of the same mass have the same moments of inertia about their respective diameters, the ratio of their radii isa)(5)1/2: (3)1/2b)(3)1/2: (5)1/2c)3 : 2d)2 : 3Correct answer is option 'A'. 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 A solid sphere and a hollow sphere of the same mass have the same moments of inertia about their respective diameters, the ratio of their radii isa)(5)1/2: (3)1/2b)(3)1/2: (5)1/2c)3 : 2d)2 : 3Correct answer is option 'A'. Can you explain this answer?.
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