Wednesday, April 25, 2012

MODEL PROBLEMS IN ENG.PHYSICS


Calculate the binding energy of sodium iodide(NaI) in which, the nearest neighboring distance is 0.324 nm. Express the energy in electron  volts and also in joules given Madelung constant equal to 1.748 and n value is 9.5.
Calculate the potential energy of the system Na+ and Cl- when they are 2 A0  apart.
Calculate the cohesive energy of Na Cl from the following data
Equilibrium separation ,r=.0281nm
Ionization energy of Na = 5.1eV.
Electron affinity of Cl = 3.6eV.
The bond repulsive exponent, n=9.
Madelung constant =1.748.   
Madelung constant of KCl=1.75 the separation is 0.314nm.Find cohesive energy per atom given data
Repulsive exponent value ,n = 5.7
Ionisation energy of K Cl= 4.14eV
Electron affinity of Cl-=3.6eV
A beam of X rays is incident on a Na Cl crystal with lattice spacing ‘d’=0.282nm.Calculate the wave length of X-rays if the first order Braggs reflection is at angle 80 35’.Calculate maximum order of diffraction possible
Monochromatic X-rays of wavelength λ=1.5A0 are incident on a crystal having interplanner spacing (d)=1.6 A0  Find highest order of Bragg reflection.
 A beam of X-rays of wavelength 0.071nm is diffracted (1 1  0) plane with lattice constant(a)=0.28nm.find the glancing angle for the second order diffraction.
Calculate the glancing angle at (1 1 0) plane of cubic crystal having axial length lattice constant(a)=0.26nm corresponding to second order diffraction maximum for the X rays of wavelength 0.065nm.
Show that in simple cubic lattice , the separation between the successive , lattice planes ( 1 0 0) ,(0 1 0),( 1 1 1) are in the ratio 1: 0.71 : 0.58.
Find the maximum radius of the interstitial sphere that can fit into the void at(½,½,½) between the atoms in the BCC structure.
What is the order at which 3rd order reflection of X rays of 0.79 A0 can occur in calcite crystal of 3.04x 10-8.
Estimate bond energy for sodium chloride molecule as formed from sodium and chlorine atoms. The inter ionic equilibrium distance is 236 nm. Born constant=8. The ionization energy for sodium is 5.14eV and electron affinity of chlorine is 3.65eV.
Calculate the cohesive energy of sodium chloride from the following data equilibrium separation between the ion pair is equal to 0.281nm r0=0.281x10-9.
An optical fiber has a core material of refractive index, n1=1.55 and cladding material of refractive index, n2=1.50. the light is launched int the air calculate the numerical aperture.
Calculate the angle of acceptance αimax of given optical fiber . if the Refractive Index of core and cladding are 1.563 and 1.498 respectively.
The numerical aperture of an  optical fiber is 0.39, if the difference in refractive indices of the material of its core and cladding is 0.05. calculate the refractive index of the core.
Calculate the fractional change of the refractive index  if the refractive indices of core and cladding are n1=1.563, n2=1.498 are respectively.
The magnetic field in the interior of a certain solenoid has the value of 6.5 x10-4 amp/m when the solenoid is empty ,when is filled with iron , the field becomes 1.4 T, find the relative permeability.
Find the relative permeability of ferro magnetic material if field of strength, H=220 amp/m produces magnetizationof 3300 amp/m.
The circular loop of copper having a diameter of 10cm carries a current of 500 mA. Calculate the magnetic moment(µd ) associated within the loop.
The paramagnetic material has 1028 atoms per m3. Its susceptibility at 350 K is 2.8x 10-4. Calculate the susceptibility at 300 K.
A super conductivity tin has a critical temperature of 3.7 K at zero magnetic field  and a critical field of 0.03067 at 0 K. find the critical field at 2 K.

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