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6. system of particles and rotational motion — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysics6. system of particles and rotational motion1 Mark
MCQ
A small object of uniform density rolls up a curved surface with an initial velocity $v$. It reaches up to a maximum height of $\frac{3 \mathrm{v}^2}{4 \mathrm{~g}}$ with respect to the initial position. The object is
  • A
    ring
  • B
    solid sphere
  • C
    hollow sphere
  • ✓
    disc
✓

Answer

Correct option: D.
disc
d
$v =\sqrt{\frac{2 g h}{1+\frac{ k ^2}{ r ^2}}}$

$v ^2=\frac{2 g 3 v ^2}{4 g \left(1+\frac{ k ^2}{ r ^2}\right)}$

$\Rightarrow 1+\frac{ k ^2}{ r ^2}=\frac{3}{2}$

$k ^2=\frac{1}{2} r ^2 \rightarrow \text { disc }$

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