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13. oscillations — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics13. oscillations1 Mark
MCQ
A particle is performing simple harmonic motion
$(i)$ its velocity-displacement graph is parabolic in nature
$(ii)$ its velocity-time graph is sinusoidal in nature
$(iii)$ its velocity-acceleration graph is elliptical in nature
Correct answer is
  • A
    $(i), (ii)$ and $(iii)$
  • ✓
    $(ii)$ and $(iii)$
  • C
    $(i)$ and $(ii)$
  • D
    $(i)$ and $(iii)$
✓

Answer

Correct option: B.
$(ii)$ and $(iii)$
b
$(i)$ $\mathrm{v}=\omega \sqrt{\mathrm{A}^{2}-\mathrm{x}^{2}}$ $(ii)$ $\mathrm{v}=\mathrm{A} \omega \cos \omega \mathrm{t}$

$\mathrm{v}=\mathrm{A} \omega \cos \omega \mathrm{t} ; \mathrm{a}=\mathrm{A} \omega^{2} \sin \omega \mathrm{t}$

$\Rightarrow \frac{v^{2}}{A^{2} \omega^{2}}+\frac{a^{2}}{A^{2} \omega^{4}}=1$

$(ii)$ and $(iii)$ are correct

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