MCQ
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 $
  • $35$
  • D
    $7 $

Answer

Correct option: C.
$35$
c
(c) 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 $H = h + r = 14 + 21 = 35\,metre$

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