JEE Mains · Physics · STD 11 - 13. oscillations
In a simple harmonic oscillation, what fraction of total mechanical energy is in the form of kinetic energy, when the particle is midway between mean and extreme position.
- A \(\frac{1}{4}\)
- B \(\frac{1}{3}\)
- C \(\frac{3}{4}\)
- D \(\frac{1}{2}\)
Answer & Solution
Correct Answer
(C) \(\frac{3}{4}\)
Step-by-step Solution
Detailed explanation
\(K =\frac{1}{2} m \omega^{2}\left( A ^{2}- x ^{2}\right)\) \(=\frac{1}{2} m \omega^{2}\left( A ^{2}-\frac{ A ^{2}}{4}\right)\) \(=\frac{1}{2} m \omega^{2}\left(\frac{3 A ^{2}}{4}\right)\) \(K =\frac{3}{4}\left(\frac{1}{2} m \omega^{2} A ^{2}\right)\)
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