JEE Mains · Physics · STD 11 - 13. oscillations
When a particle executes \(SHM\) the nature of graphical representation of velocity as a function of displacement is :
- A circular
- B elliptical
- C parabolic
- D straight line
Answer & Solution
Correct Answer
(B) elliptical
Step-by-step Solution
Detailed explanation
For a particle executing SHM, \(x = A \sin (\omega t +\phi)\) \(v =\omega A \cos (\omega t +\phi)\) \(\Rightarrow \frac{ v ^{2}}{\omega^{2} A ^{2}}+\frac{ x ^{2}}{ A ^{2}}=1 \Rightarrow\) equation of ellipse between \(v\) and \(x.\)
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