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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 solid sphere rolls down two different inclined planes of same height, but of different inclinations. In both cases
  • A
    speed and time of descent will be same
  • ✓
    speed will be same, but time of descent will be different
  • C
    speed will be different, but time of descent will be same
  • D
    speed and time of descent both are different
✓

Answer

Correct option: B.
speed will be same, but time of descent will be different
b
In pure rolling, mechanical energy remains conserved. Therefore, when heights of inclines are equal, speed of sphere will be same in both the case. But as acceleration down the plane, $a \propto \sin \,\theta $ Therefore, acceleration and time of descent will be different

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$\left(g=10\, ms ^{-2}\right)$

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