Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Chemical Sciences Basic Principles of Quantum Mechanics
A trial wavefunction used in SHO is \(β x e^{-β x^2}\) and the energy value obtained was \(\frac{3 \hbar β }{2m} + \frac{3mw^2}{8β}\). Find the value of β?
1
\(\frac{m^2w}{2\hbar}\)
2
\(\frac{m^2w^2}{4\hbar^2}\)
3
\(\frac{m^2w^2}{8\hbar^2}\)
4
\(\frac{mw}{2\hbar}\)
5
Question Not Attempted