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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
The ratio ofthe radii of gyration of a circular disc about a tangential axis in the plane of the disc and of a circular ring of the same radius about a tangential axis in the plane of the ring is
  • A
    $ 2\,\,:\,\,3 $
  • B
    $ 2\,\,:\,\,1 $
  • ✓
    $ \sqrt 5 \,\,:\,\,\sqrt 6 $
  • D
    $ 1\,\,:\,\,\sqrt 2 $
✓

Answer

Correct option: C.
$ \sqrt 5 \,\,:\,\,\sqrt 6 $
c
$I _{\text {disk }}=\frac{5}{4} M R ^{2}= M K _{\text {disk }}^{2}$

$I _{\text {ring }}=\frac{3}{2} M R ^{2}= M K _{ ring }^{2}$

$\frac{ K _{\text {disk }}}{ K _{\text {ring }}}=\sqrt{\frac{5}{6}}$

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