Atomic and Nuclear Physics Answers

(a) Derive Equation 3.9. (b) Fill in the missing steps in the derivation of
Equation 3.13 beginning with Equation 3.9.

the nucleus to be a uniformly charged sphere of radius
R, for whch the potential
energy of the electron for
r < R is
equation 3.9 : V'(r) = -Ze^2*(3/2-(1/2)*(r/R)^2)/(4*pi*εo*R)
equation 3.13 : <V'> = ∫Psin*V'Psin dV + ∫ Psin*V'Psin dV expectation value of potential V

Solve the Schrodinger equation for the following potential:
V(x) = 00(infinity) x<o
= -Vo O<x<a
= 0 x>a
Here Vo is positive and solutions are needed for energies E > 0. Evaluate all
undetermined coefficients in terms of a single common coefficient, but do
not attempt to normalize the wave function. Assume particles are incident
from
x= -infinity

derivation of black disk scattering in the nuclear reaction.

A solid metal cube of side 10cm is heated from 10degree to 60degree,if the linear expansivity of the metal is 1.2 multiplie by 10 raised to power -5 Kelvin raised to power -1, calculate the increase in it's volume.

The fundamental frequency (v0) of HCl molecule is 2890 cm^-1. Calculate the fundamental frequency (v0) for DCl. (Use atomic masses as H = 1, D = 2, Cl = 35)

1) What is the selection rule for microwave absorption?
2) write the expression for rotational energy and name various term appearing in it?
3) If the value of rotational constant,B is 10cm^-1 for a diatomic molecule, what is the wave no. Of transition from j=3 to J=4 level?

Explain origins of penetration, energy deposition and measurement of different radiations ?

A 280 day old radioactive substance shows an activity of 6000 dps , 140 days later its activity becomes 3000 dps . What was its initial activity ? (A) 20000 dps (B ) 24000 dps (C) 12000dps (D) 6000 dps

living matter has an activity of 260 bq/kg due to carbon 14. if a sample of wood from burial site has an activity of 155 bq/kg, estimate the age of the site. half-life of carbon 14 is 5730 years

An electron with KE of 2keV collided with a positron at rest creating two photons that have equal energy. Show that the energy of each photon is 8.2{times 10}-14J