Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Chemical Sciences Basic Principles of Quantum Mechanics
The ground state wavefunction of a particle in a three-dimensional potential is given by \(\psi(r)=A e^{-a r^2}\), where A is the normalisation constant r, is the radial coordinate and a is a constant. The value of A is given by
1
\(\left(\frac{a}{2 \pi}\right)^{1 / 4}\)
2
\(\left(\frac{2 a}{\pi}\right)^{1 / 2}\)
3
\(\left(\frac{2 a}{\pi}\right)^{3 / 4} \)
4
\(\left(\frac{a}{2 \pi}\right)^{3 / 2} \)
5
Question Not Attempted