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Questions  

Directions : These questions consist of two statements each printed as Assertion and Reason. While answering these questions you are required to choose any one of the following four responses 

Assertion: One end of a massless rod of length l is hinged, so that it is free to rotate in a vertical plane about a horizontal axis. If a particle is attached to the other end of the rod, then the minimum speed at  lower most position of the particle is 5gl to
complete the circular motion. 
Reason : Work done by centripetal force on the particle is always zero.

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a
If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
b
If both Assertion and Reason are correct but Reason is not the correct explanation of Assertion.
c
If Assertion is correct but Reason is incorrect.
d
If Assertion is incorrect but Reason is correct.

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detailed solution

Correct option is B

In case of massless rod, minimum speed at lower most  position of the particle is  5gl  to complete the circular motion.Work done by centripetal force on the particle is always zero.


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A small sphere of mass m is suspended from a fringe by a light rigid rod of length l. The rod can swing in a vertical circle with what minimum velocity should the sphere be projected horizontally for which it will complete a vertical revolution ?


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