Two independent harmonic oscillators of equal masses are oscillating about the origin with angular frequencies $$\omega$$₁ and $$\omega$$₂ and have total energies E₁ and E₂, respectively. The variations of their momenta p with positions x are shown in the figures. If $${a \over b} = {n^2}$$ and $${a \over R} = n$$, then the correct equations is/are

Match the nuclear processes given in Column I with the appropriate option(s) in Column II:

A particle of unit mass is moving along the x-axis under the influence of a force and its total energy is conserved. Four possible forms of the potential energy of the particle are given in Column I (a and U₀ are constants). Match the potential energies in Column I to the corresponding statement(s) in Column II: