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3.2 , motion in plane — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics3.2 , motion in plane1 Mark
MCQ
A particle moves with constant angular velocity in circular path of certain radius and is acted upon by a certain centripetal force $F$. If the angular velocity is doubled, keeping radius the same, the new force will be
  • A
    $2F$
  • B
    ${F^2}$
  • ✓
    $4F$
  • D
    $F/2$
✓

Answer

Correct option: C.
$4F$
c
(c) $F = m{\omega ^2}R$ $\therefore$ $F \propto {\omega ^2}$ ($m$ and $R$ are constant)

If angular velocity is doubled force will becomes four times.

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