JEE Mains · Physics · STD 11 - 13. oscillations
A particle executes \(S.H.M.,\) the graph of velocity as a function of displacement is :-
- A A circle
- B A parabola
- C An ellipse
- D A helix
Answer & Solution
Correct Answer
(C) An ellipse
Step-by-step Solution
Detailed explanation
\(v ^{2}=\omega^{2}\left( A ^{2}- x ^{2}\right)\) \(\frac{ v ^{2}}{\omega^{2}}+ x ^{2}= A ^{2}\) \(\frac{ v ^{2}}{(\omega A )^{2}}+\frac{ x ^{2}}{ A ^{2}}=1\) This is an equation of an ellipse.
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