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A solenoid has radius 2.20 cm, length 0.90 m and 1000 total number of turns. a) Determine the magnetic field energy density inside the solenoid. b) Calculate the total energy stored in the magnetic field inside the solenoid. Neglect the end effects. 


 A copper wire is stretched to make it 0.2% longer. What is the percentage change in its resistance?


 A current of 2 A flowing through a coil of 100 turns gives rise to a magnetic flux of 5 × 10−5 Wb per turn. Calculate the magnetic energy associated with the coil


8. If the real normalized functions f(x) and g(x) are not orthogonal, show that their sum f(x) +g(x) and their difference f(x)−g(x) are orthogonal.


1. Using the Weiszacker’s formula, calculate the binding energy per nucleon for 235


92 U and


its two fission products: 149


60 Nd and 86


32Ge.



 In the Helium-Neon laser, lasing occurs between two excited states of the neon atom. However, in many lasers lasing occurs between the ground state and an excited state. Consider such a laser that emits at wavelength λ = 550 nm. If a population inversion is not generated, (i) what is the ratio of the population of atoms in state Ex to the population in the ground state E0 with atoms at room temperature? For the condition in (i), at (ii) what temperature would the ratio Nx/N0 be 1/2?.


7. The atomic ratio between Uranium isotope 238U and 234U in a mineral sample is found to be 1.8 × 104 . The half-life of 234U is 2.5 × 105 yrs. Find the hal-life of 238U.


6. The polonium isotope 210 84 Po is unstable and emits a 5.30 MeV alpha particle. The atomic mass of 210 84 Po is 20998 and that of 4 2He is 4.0026u. Identify the daughter nuclide and find its atomic mass in u


An unstable isotope with mass number210 emits 5.3MeV alpha particle. If the atomic mass of unstable isotope is 209.98 u and alpha particle is 4.0026u, determine the atomic mass of daughter nuclide. 


If the average energy released per fission in a reactor is 150MeV, determine the amount of radioactive sample consumed in every second such that tractor releases thermal energy at a rate of 359MW. 


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