Q 1 : Consider the collision depicted in the figure to be between two billiard balls with equal masses m1=m2. The first ball is called the cue and the second ball is called as the target.The billiard player wants to sink the target ball in a corner pocket, which is at an angle theta 2 = phi = 37 degree. Assume that the collision is elastic and that friction and rotational motion are not important. Obtain theta 1 = theta .
Q 2 : In a nuclear reactor , a neutron of high speed (~ 10 raised to the power 7 meter per second) must be slowed down to 10 raised to the power 3 meter per second so that it can have a high probability of interacting with isotope 92 U 235 and causing it to fission. Show that a neutron can lose most of its kinetic energy in an elastic collision with a light nuclei like deuterium or carbon which has a mass of only a few times the neutron mass. The material making up the light nuclei usually heavy water (D2O) or graphite is called a moderator.
Q 3 : Estimate the amount of energy released in the nuclear fusion reaction : 1H2 + 1H2 = 2He3 + 0n1
given that M (1H2) = 2.0141 u, M (2He3) = 3.0160 u, M (n) = 1.0087 u ; where 1 u = 1.661 * 10 raised to the power -27 kg. Express your answer in units of MeV.
Q 4 : A block of mass m, initially at rest is dropped from a height h onto a spring whose force constant is K. Find the maximum distance x through which the spring will be compressed ?
Q 5 : Express
a) the energy required to break one bond in DNA 10 raised to power -20 J in eV.
b) kinetic energy of an air molecule ( 10 raised to the power -21 J) in eV.
c) the daily intake of a human adult (10 raised to the power 7 J) in kilocalories
Q 6 : A ball of mass m is dropped from a height h on a platform fixed at the top of a vertical spring. The platform is depressed by a distance x. What is the spring constant K ?
Q 7 : When slow neutrons are incident on a target containing 92 U 235 a possible fission reaction is 92 U 235 + n = 56 Ba 141 + 36 Kr 92 + 3 n + Q , estimate the amount of energy released using the following data :
M [ 92 U 235 ] = 235.04 u ; M [ 56 Ba 141 ] = 140.91 u ; M [ 36 Kr 92 ] = 91.926 u ; M n = 1.0087 u .
Take 1 u = 1.661 * 10 raised to the power - 27 kg, 1 MeV = 1.602 * 10 raised to the power - 13 J
Q 8 : A nucleus of radium (88 Ra 226) decays to ( 86 Rn 222 ) by the emission of alpha particle 2He4 of energy 4.8 MeV. If mass of 86 Rn 222 is 222.0 amu and mass of 2He4 is 4.003 amu, calculate the recoil energy of daughter nucleus 86 Rn 222