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A small ball descibes a horozontal circl...

A small ball descibes a horozontal circle on the smooth inner surface of a conical funnel. If the height of the plane of the circle above the vertex be 10 cm what is the speed of the particle?

A

2 m/s

B

4 m/s

C

16 m/s

D

1 m/s

Text Solution

Verified by Experts

(d) As it is clear from figur

`Rsin theta =mg " " ....(i)`
R costheta =(mv^(2))/(r) " " ....(ii)`
Diving Eq. (i)n by Eq (ii) , we get
`" " tantheta=(rg)/(v^(2))`
or ` " " (r)/(g)=(rg)/(v^(2))"or"v=sqrt(gh)v=sqrt(10xx(1)/(10))=1m//s`
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