Two independent harmonic oscillators of equal mass are oscillating about the origin with angular...
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Two independent harmonic oscillators of equal mass are oscillating about the origin with angular frequencies \( \omega_{1} \) and \( \omega_{2} \) and have total energies \( E_{1} \) and \( E_{2} \), respectively. The variations of their momenta \( p \) with
\( \mathrm{P} \) position \( \mathrm{x} \) are shown in the figures. If \( \frac{\mathrm{a}}{\mathrm{b}}=\mathrm{n}^{2} \) and \( \frac{\mathrm{a}}{\mathrm{R}}=\mathrm{n} \), then the correct equation(s) is (are)
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(A) \( E_{1} \omega_{1}=E_{2} \omega_{2} \)
(B) \( \frac{\omega_{2}}{\omega_{1}}=n^{2} \)
(C) \( \omega_{1} \omega_{2}=n^{2} \)
(D) \( \frac{E_{1}}{\omega_{1}}=\frac{E_{2}}{\omega_{2}} \)
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