May 2024 – Physics Hut

Relation between one Coulomb and stat Coulomb

One coulomb is equal to $3\times 10^{9}$ Coulomb.
$1C=3\times 10^{9} statC$
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Quantum Mechanics IIT Bombay Assignment-1 Problem-4

Consider a particle in a two dimensional box, whose ground state energy is $\epsilon_{\circ}$ . Then the energy $E=13\epsilon_{\circ}$ is two fold degenerate.
A. True
B. False
Answer:
The correct choice is A.
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Quantum Mechanics IIT Bombay Assignment-1 Problem-3

For a particle in one dimensional box, the ground state energy is given by $E_0$ . The allowed energies of such particle are:
A. $2E_0$
B. $4E_0$
C. $6E_0$
D. $9E_0$
Answer:
Correct choices are B. and D.
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Quantum Mechanics solved problem-1

The energy eigenvalue and corresponding eigenfunction for a particle in one-dimensional potential $V(x)$ are:

$E=0, \quad \Psi(x)=\frac{A}{x^2+a^2}$

Where $A$ is a positive constant. The form of potential $V(x)$ is:

A. $\frac{\hbar^2(3x^2-a^2)}{m(x^2+a^2)^2}$

B. $\frac{\hbar^2(x^2-a^2)}{2m(x^2+a^2)^2}$

C. $\frac{\hbar^2(3x^2-a^2)}{m(x^2+a^2)^3}$

D. $\frac{\hbar^2(x^2-a^2)}{2m(x^2+a^2)^3}$

The correct Choice is A.

See the full solution from following video tutorial:

Compton Effect Solved Problem

Consider a photon, that is scattered from an electron at rest. If the photon scatters at an angle of $60^{\circ}$ with a wavelength ${\lambda}'$ , that is twice its incident wavelength ${\lambda}$ , then the angle at which electron recoils will be \underline{\hspace{3cm}} degrees. (Answer should be an integer)}
Answer:
The correct Answer is $60^{\circ}$
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