Q. Which of the following is the correct form of Schrodinger wave equation?
A) $\frac{\partial^{2}\Psi}{\partial^{2}x} + \frac{\partial^{2}\Psi}{\partial^{2}y} + \frac{\partial^{2}\Psi}{\partial^{2}z} + \frac{8\pi^{2}m}{h^{2}}(E - V)\Psi = 0$
B) $\frac{\partial^{2}\Psi}{\partial x^{2}} + \frac{\partial^{2}\Psi}{\partial y^{2}} + \frac{\partial^{2}\Psi}{\partial z^{2}} + \frac{8\pi^{2}m}{h^{2}}(E - V)\Psi = 0$
C) $\frac{\partial\Psi^{2}}{\partial x^{2}} + \frac{\partial\Psi^{2}}{\partial y^{2}} + \frac{\partial\Psi^{2}}{\partial z^{2}} + \frac{8\pi^{2}m}{h^{2}}(E - V)\Psi = 0$
D) $\frac{\partial^{2}\Psi}{{dx}^{2}} + \frac{\partial^{2}\Psi}{\partial y^{2}} + \frac{\partial^{2}\Psi}{\partial z^{2}} + \frac{8\pi^{2}m^{2}}{h^{2}}(E - V)\Psi = 0$
Explanation
(b)
Schrodinger wave equation is
$\frac{\partial^{2}\Psi}{\partial x^{2}} + \frac{\partial^{2}\Psi}{\partial y^{2}} + \frac{\partial^{2}\Psi}{\partial z^{2}} + \frac{8\pi^{2}m}{h^{2}}(E - V)\Psi = 0$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.