Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Chemical Sciences Basic Principles of Quantum Mechanics
The eigen value corresponding to Hamitanian oprator \((- \frac{\hbar ^2}{2m} \frac{d^2}{dx^2})\) , where the wavefuction is \(\psi = \sqrt{\frac{2}{l}} sin \frac{n\pi x}{l}\)
1
\(\frac{n^2h^2}{8ml^2}\)
2
\(\frac{nh^2}{8ml^2}\)
3
\(\frac{n^2h}{8ml^2}\)
4
\(\frac{n^2h^2}{8ml}\)
5
Question Not Attempted