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

Gujarat BoardEnglish MediumSTD 11 SciencePhysics6. system of particles and rotational motion1 Mark
MCQ
A ring and a solid sphere roll down the same inclined plane without slipping. They start from rest. The radii of both bodies are identical and the ratio of their kinetic energies is $\frac{7}{\mathrm{x}}$ where $\mathrm{x}$ is___________.
  • A
    $5$
  • ✓
    $7$
  • C
    $10$
  • D
    $40$
✓

Answer

Correct option: B.
$7$
b
In pure rolling work done by friction is zero. Hence potential energy is converted into kinetic energy. Since initially the ring and the sphere have same potential energy, finally they will have same kinetic energy too.

$\therefore$ Ratio of kinetic energies $=1$

$\Rightarrow \frac{7}{x}=1 \Rightarrow x=7$

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