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The moment f inertia of a solid cylin...

The moment f inertia of a solid cylinder about an axis parallel to its length and passing through its centre is equal to its moment of inertia about an axis perpendicular to the length of cylinder and passing through its centre . The ratio of radius of cylinder and its length is

A

`1:sqrt(2)`

B

`1:2`

C

`1:sqrt(3)`

D

`1,3`

Text Solution

Verified by Experts

The correct Answer is:
C
`(MR^(2))/(2) = (ML^(2))/(12) + (MR^(2))/4 `
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NARAYNA-SYSTEM OF PARTICLES AND ROTATIONAL MOTION -EXERCISE - II (C.W)
  1. The ratio of radii of two solid spheres of same material is 1:2. The r...

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  2. I is moment of inertia of a thin circular ring about an axis perpendic...

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  3. The moment f inertia of a solid cylinder about an axis parallel to...

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  4. The radius of gyration of rod of length L and mass M about an axis per...

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  5. Three rings each of mass M and radius R are arranged as shown in t...

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  6. Two point size bodies of masses 2kg, 3kg are fixed at two ends of a li...

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  7. I is moment of inertia of a thin circular plate about its natural axis...

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  8. Three indentical thin rods each of mass m and length L are joined ...

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  9. Four spheres of diameter 2a and mass M are placed with their centres o...

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  10. The moment of inertia of a hollow sphere of mass M having internal and...

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  11. Thickness of a wooden circular plate is same as the thickness of a met...

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  12. A thin uniform circular disc of mass M and radius R is rotating in ...

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  13. A turn table is rotating in horizontal plane about its own axis at an ...

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  14. A uniform cylindrical rod of mass m and length L is rotating is pe...

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  15. A particle of mass 1 kg is moving alogn the line y=x+2 with speed 2m//...

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  16. A smooth uniform rod of length L and mass M has two identical beads ...

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  17. An energy of 484 J is spent in increasing the speed of a flywheel from...

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  18. A constant torque of 1000 N-m turns a wheel of moment of inertia 200 k...

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  19. If the angular momentum of a rotating body about an axis is increased ...

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  20. The angular frequency of a fan of moment of inertia 0.1kgm^2 is increa...

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