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

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Aicharya · Accepted Answer

P 1 &#160; m a x = m a &#969; 1 = b P 2 &#160; m a x = m r &#969; 2 = R &#969; 1 &#969; 2 = 1 n 2 &#969; 2 &#969; 1 = n 2 E 1 = 1 2 m &#969; 1 2 a 2 E 2 = 1 2 m &#969; 2 2 R 2 E 1 E 2 = &#969; 1 2 &#969; 2 2 a 2 R 2 = &#969; 1 2 &#969; 2 2 n 2 = &#969; 1 2 &#969; 2 2 &#969; 2 &#969; 1 E 1 E 2 = &#969; 1 &#969; 2 E 1 &#969; 1 = E 2 &#969; 2 .

Two independent harmonic oscillators of equal mass are oscillating about the origin with angular frequencies…

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