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Sixteen beads in a string are placed on ...

Sixteen beads in a string are placed on a smooth inclined plane to inclination `theta = sin^(-1) (1//3)` such that some of them lie along the incline whereas the rest hang over the top of the plane. If N beads lie along inclined plane then the acceleration of the bead just below vertiex is `g//2`. Value of N is

A

`12` hang vertically

B

`10` lie along inclined plane

C

`8` lie along inclined plane

D

`4` hang vertically

Text Solution

Verified by Experts

The correct Answer is:
D
Let `n` beeds each of mass `m` are hanging vertically then
`a=(nmg-(16-n)mgsintheta)/(16m)=((n-4)g)/(12)=(g)/(2)rArr`
`2n-8=12rArrn=10`
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