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The wave function of a particle is given by φ = (1/√5)ψ₁ + (i/2)ψ₂, where ψ₁ and ψ₂ are the normalized eigenfunctions with energies E₁ and E₂ corresponding to the ground state and the first excited state, respectively. The average energy of the Hamiltonian in the state φ is given as: (a) E₁/5 - E₂/2 (b) (E₀ + 2E₁)/3 (c) (4E₁ + 5E₂)/9 (d) 2E₁ - (5/2)E₂
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