In a hydrogen atom the electron is replaced by a muon whose mass is 200 times that of the electron and charge is the same as that of the electron. Calculate the Ionization potential on the basis of Bohr's model.
cse-1989-subject-05-002
State and explain Einstein's photoelectric emission equation, Distinguish between extrinsic and intrinsic photo electric effects. What is "quantum field"? On what factors does the quantum yield depend?
cse-1988-subject-05-003
Derive Schrodinger equation for a linear harmonic oscillator, and determine its eigenvalue and eigenfunctions. Discuss the significance zero point energy.
cse-1988-subject-05-002
An electron moves with a speed of 10^{3}\text{ m/sec}, accurate to 0.008\%. Find the accuracy with which the position of the electron can be located.
cse-1988-subject-05-001
Compare the energy of a photon with that of a neutron when both are associated with wavelength of 1\text{\AA}.
cse-1987-subject-05-001
State and explain Heisenberg uncertainty principle using situations where one of the parameters is (a) liner distance x (b) angle \phi (c) energy E. Prove that according to the principal the presence of an electron within the atomic nucleus is not possible.
cse-1987-subject-05-002
Define Compton wavelength for an electron. Calculate in electron-volts the photon energy corresponding to radiations of the Compton wavelength. What light does the Compton effect throw on the nature of X-rays?
cse-1987-subject-05-003
Construct solutions of Schrodinger equation for a particle moving the potential \begin{aligned} V(x) &= 0 & \text{for } x < 0 \\\\ &= V_0 & \text{for } x > 0 \end{aligned} Deduce the reflection coefficient for particles incident from left to right (i.e. from negative to positive x regions) with energy E > V_0. Do you expect any reflection for particles of same energy incident from right to left? Explain qualitatively.
cse-1986-subject-05-003
The stopping potential for electrons emitted from a metal, due to photoelectric effect, is found to be 1\text{ volt} for light of 2,500\text{ Angstrom units}. Calculate the work function of the metal in electron volts.
cse-1986-subject-05-002
Find the Fermi energy in eV of electrons in sodium({}_{11}^{23}\text{C Na}), given its density to be 0.97\text{ g cm}^{-3}. Treat the electrons as a free gas.
cse-1986-subject-05-001
What is the importance of study of deuteron? Obtain the solution of Schrodinger equation for ground state of deuteron and show that deuteron is a loosely bound system.
cse-2021-subject-05-001
Obtain an expression for the probability current for the plane wave \psi(x,t)=\exp[i(kx-\omega t)]. Interpret your result.
cse-2015-subject-05-002