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The moment of inertia of two spheres of equal masses is equal. If one of the spheres is solid of radius 8634_image013 m and the other is a hollow sphere. What is the radius of the hollow sphere?
  • a)
    5 m
  • b)
    √3 m
  • c)
    3√3 m
  • d)
    3 m
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The moment of inertia of two spheres of equal masses is equal. If one ...
Moment of inertia of solid sphere Is= 2/5MR2
moment of inertia of hollow sphere Ih =2/3MR2
given mass of solid sphere =√45 kg.
Is=Ih
2MR2/5=2MR2/3
given their masses are equal 2 (√45)2/5= 2 R2/3
45/5=R2/3
9=R2/3
9×3=R2
27=R2
√27=R
√3×9=R
3√3 m=R.
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The moment of inertia of two spheres of equal masses is equal. If one ...
Moment of inertia of solid sphere (I)s= 2/5MR^2....moment of inertia of hollow sphere(I)h =2/3MR^2..given mass of solid sphere =√45 kg.(I)s=(I)h2MR^2/5=2MR^2/3.given their masses are equal 2 (√45 ^2)/5= 2 R^2/3.45/5=R^2/3.9=R^2/3.9×3=R^2.27=R^2.√27=R.√3×9=R .3√3 m=R.
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The moment of inertia of two spheres of equal masses is equal. If one ...

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The moment of inertia of two spheres of equal masses is equal. If one of the spheres is solid of radiusm and the other is a hollow sphere. What is the radius of the hollow sphere?a)5 mb)√3 mc)3√3 md)3 mCorrect answer is option 'C'. Can you explain this answer?
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