Atomic and Nuclear Physics Answers

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.

Determine the magnetic field due to a very long solenoid, at an interior point of the solenoid, in terms of the current in the solenoid windings and the number of turns per unit length of the solenoid.

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.

. A permanent magnet is made of ferromagnetic material with a magnetization equals to 7.5 10 A/ m 5  . The magnet is in the form of a cylindrical road with a length of 6.00 cm and a diameter of 1.20 cm. Determine the magnetic dipole moment of the magnet.

Show that the mass of radium (Mass number= 226, half-life = 1600 yrs) with an

activity of a curie (1Ci) is almost 1gm.

One (1) gram of aradioactive substance disintegrates at the rate of 3.7 × 1010 per

second. The atomic weight of the substance is 226. Calculate its mean life.

What inductance will be needed to store 1.00 Wh of energy in a coil carrying a current of 20 A?

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.

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?