A particle is kept at rest at the top of a

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A particle is kept at rest at the top of a sphere of diameter $42\, m$. When disturbed slightly, it slides down. At what height $‘h’ $ from the bottom, the particle will leave the sphere  ........ $m$

A

$14$

B

$28 $

C

$35$

D

$7 $

A particle is kept at rest at the top of a sphere of diameter $42\, m$. When disturbed slightly, it slides down. At what height $‘h’ $ from the bottom, the particle will leave the sphere  ........ $m$

As we know for hemisphere the particle will leave the sphere at height $h = 2r/3$

$h = \frac{2}{3} \times 21 = 14\,m$

but from the bottom $H = h + r = 14 + 21 = 35\,metre$