A particle is in a state phi =1+3 2 where 1 and 2 are eigenfunctions of the Hamiltonian of the particle with eigenvalues E1 and E2, respectively. The average energy of the particle in the state phi is

ABC26PH1307 · Quantum Chemistry

Subject: Physical Chemistry · Chapter: Quantum Chemistry · Topic: Postulates Operators · Exam: NET JUNE 2016 · Marks: 2 · Difficulty: Medium

A particle is in a state $\phi=\psi_{1}+3 \psi_{2}$ where $\psi_{1}$ and $\psi_{2}$ are eigenfunctions of the Hamiltonian of the particle with eigenvalues $\mathrm{E}_{1}$ and $\mathrm{E}_{2}$, respectively. The average energy of the particle in the state $\phi$ is

(a)$\left(\mathrm{E}_{1}+9 \mathrm{E}_{2}\right) / 10$

(b)$\left(\mathrm{E}_{1}+3 \mathrm{E}_{2}\right)$

(c)$\left(\mathrm{E}_{1}+9 \mathrm{E}_{2}\right) / 14$

(d)$\left(\mathrm{E}_{1}+3 \mathrm{E}_{2}\right) / 10$

Answer

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Explanation

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