A particle at rest has a mean lifetime of 800 s. If we measure its mean lifetime as 2400 what is its speed relative to us

What is the uncertainty in the energy of an atom in an excited state having a lifetime of s What is the order of the natural width of the line emitted by the atoms

The rest mass of a free proton is 938 MeV/C^2 A proton has a kinetic energy of 150 MeV. Calculate its total energy and relativistic mass.

A ball of mass 100 g moves with a speed of 80 ms^-1. Calculate the de Broglie wavelength associated with it. Would you be able to observe the wave characteristics

Write down one use each of nuclear radiations from isotopes in agriculture, medicine and industry.

Determine the electronic configuration for the atoms having Z 26 and Z 45.

State, giving reasons, whether the following transitions are allowed or not for a multi-electron atom:

<img src='./qimages/10397-1g.jpg'>

Derive the expression for cyclotron frequency.

Derive the relativistic velocity addition formula.

A pion at rest decays into a muon and a neutrino (which is massless). Using the relativistic laws of conservation of energy and momentum, obtain the momentum of the muon in terms of m and m .

The Doppler shift in the wavelength of the sodium line (5890 in the light observed from a distant star is 100 A. Determine the speed at which the star is receding.

Write the properties and boundary conditions that a wave function must satisfy in order to be acceptable. Explain whether

<img src='./qimages/10397-3a.jpg'>

is an acceptable wave function or not.

A particle with zero energy has a wave
function

<img src='./qimages/10397-3b.jpg'>

Determine the potential function

Define the parity operator. Determine whether the parity operator is Hermitian or not.

Write down the time independent SchrOdinger equation for a one-dimensional simple harmonic oscillator with .angular frequency w. What is its zero point energy Calculate x and Px for the oscillator in its ground state given by the wave function

<img src='./qimages/10397-4a.jpg'>

State the selection rules for X-ray spectra. Explain with the help of a diagram, the transitions that give rise to Ka lines. If the Ka line of Mo has a wavelength of 0.71 calculate the wavelength of the line for Cu 29). (Take cr


What do you -understand by radioactive equilibrium Obtain the condition for transient equilibrium in the decay of23Su.

Describe the liquid drop model of nuclear fission.

Physical constants:
h 6.6 x 10^-34 Js
me 9.1 x 10^-31 kg