PG entrance exam IIT JAM 2025 Mock Test Chemical Sciences Basic Principles of Quantum Mechanics Particle-in-a-box
he wave function of a particle in a cubic box (of side 𝐿) is given by
\(\psi(x, y, z)=\sqrt{32 / L^3} \sin \frac{\pi x}{L} \cos \frac{\pi x}{L} \sin \frac{2 \pi y}{L} \sin \frac{\pi z}{L}\).
The ratio of the energy of the state corresponding to the above wave function to the ground state energy is .
(rounded off to the nearest integer)
Enter numerical value using the virtual keypad. Round off where necessary.