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A

`sqrt(3gL)`

B

`sqrt(2gL)`

C

`sqrt(gL)`

D

`sqrt(5gL)`

Text Solution

Verified by Experts

The correct Answer is:
A
Decrease in gravitational potential energy = Increase in rotational kinetic energy about point O

or `"mg"(L)/(2)=(1)/(2)((mL^(2))/(3))omega^(2)or omega=sqrt((3g)/(L))`
Now `v = r omega` (in pure rotation)
`:. v=Lsqrt((3g)/(L))=sqrt(3gL)`.
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DC PANDEY ENGLISH-ROTATION-(A) Chapter Exercises
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  2. If a sphere of mass m moving with velocity u collides with another ide...

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  3. A uniform rod of mass 2 kg and length 1 m lies on a smooth horizontal ...

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  4. A particle 'P' is moving in a circle of radius 'a' with a uniform spee...

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  5. A uniform round object of mass M, radius R and moment of inertia about...

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  6. A wheel comprises a ring of radius R and mass M and three spokes of ma...

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  7. A square is made by joining four rods each of mass M and length L. Its...

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  8. A solid homogeneous sphere is moving on a rough horizontal surface, pa...

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  9. A sphere cannot roll on

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  10. A thin bar of mass m and length l is free to rotate about a fixed hori...

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  11. A disc is free to rotate about a smooth horizontal axis passing throug...

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  12. <img src="https://d10lpgp6xz60nq.cloudfront.net/physicsimages/BMSDPP01...

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  13. Two identical satellites are moving around the Earth in circular orbit...

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  14. A solid sphere of mass 2 kg rolls up a 30^(@) incline with an initial ...

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  15. The figure shows a uniform rod lying along the X-axis. The locus of al...

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  16. A cord is wound around the circumference of wheel of radius r. The axi...

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  17. A solid sphere rolls without slipping and presses a spring of spring c...

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  18. Two identical spherical balls, each of mass m, are placed as shown in ...

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  19. System is shown in the figure. Velocity of sphere A is 9 (m)/(s). Find...

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  20. Two uniform spheres A (Hollow) and B (solid) of same radius R (<r/2) a...

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