where $\psi_1$ and $\psi_2$ are energy eigen functions with eigen values (non-degenerate) $E_1$ and $E_2$ respectively. What is the probability that the system energy will be observed to be $E_1$?
(a)$\sqrt{\dfrac{3}{16}}$
(b)$\frac{3}{4}$
(c)$\frac{1}{4}$
(d)$\sqrt{\frac{1}{4}}$
Answer
Answer: C ✓ checked by 4AB · confidence medium
Explanation
The probability of observing E₁ is |c₁|²/(|c₁|² + |c₂|²); for ψ = ½ψ₁ + (√3/2)ψ₂ this is 1/4 (c).