Test: Schrodinger Equation (Time Dependent Form) - Chemistry MCQ

The Energy of a wave particle is given as ℏ ω while the momentum of the particle is given as ℏ k. These are the desired relation.

Out of all the given options, sin x is the only function, that is continuous and single-valued. All the rest of the functions are either discontinuous or double-valued.

Now, given that, X

df/f = -xdx/a²
ln f = -x²/2a² + C
f = ke^-x2/2a2.

A wave function describes the state of a particle. It does not have a physical significance. Moreover, it can be written as a linear combination of Eigen functions, i.e., Ψ(x) = AF(x) + BG(x).

Out of the following, only the below diagram can be the solution of the Schrodinger Wave equation. because other diagram does not have a continuous dΨ/dx. Some diagrams are double valued and discontinuous also.

The correct expression for the Schrödinger wave equation isSchrodinger equation is a basic principle in itself.

The wave function has no physical significance. It merely helps in determining the state of a particle. It is the square of the wave function that has a physical significance.

Schrodinger equation is a basic principle in itself. It cannot be derived from other principles of physics. Only, it can be verified with other principles.

For a wave function, dΨ/dx, must be continuous and single-valued everywhere, just like Ψ. Also, Ψ must be normalizable.

The Schrodinger wave equation generated is a partial differential equation. It is a basic principle in itself and cannot be derived from other principles of physics. There are two types of partial differential equation time dependent form and steady-state form.