Two independent harmonic oscillators of equal mass are oscillating about the origin with angular frequencies ω1 and ω2 and have total energies E1 and E2, respectively. The variations of their momenta p with position x are shown in the figures. If and , then the correct equation(s) is (are) :

Engineering

Physics

Basics of Simple Harmonic Motion

Question

Two independent harmonic oscillators of equal mass are oscillating about the origin with angular frequencies ω₁ and ω₂ and have total energies E₁ and E₂, respectively. The variations of their momenta p with position x are shown in the figures. If $\frac{a}{b} = n^{2}$ and $\frac{a}{R} = n$ , then the correct equation(s) is (are) :