Mass-Energy Equivalence Question Number 1: What is the energy released in the nuclear fusion reaction \rm _1^2H+_1^2H \rightarrow \ _2^4He + Q?

Mass-Energy Equivalence Question Number 2: The isotope \rm ^{218}Po decays via \alpha-decay. The measured atomic mass of \rm ^{218}Po is 218.00897\rm \ u, and the atomic mass of the daughter nucleus is 213.99981\rm \ u. Find

1. the Name of the daughter nucleus.

2. the number of nucleons in the daughter nucleus.

3. the atomic number of the daughter nucleus.

4. the number of neutrons in the daughter nucleus.

5. the kinetic energy of the \alpha-particle. (Ignore the recoil of the daughter nucleus.)

Mass-Energy Equivalence Question Number 3: A free neutron can decay into a proton, an electron, and an anti-neutrino. Assume the anti-neutrino’s rest mass is zero, and the rest masses for proton and electron are 1.6726 \times 10^{ -27}\rm \ kg and 9.11\times10^{ -31}\rm \ kg respectively. Determine the total kinetic energy shared among the three particles when a neutron decays at rest.

Mass-Energy Equivalence Question Number 4: The unified atomic mass unit, denoted by u, is defined to be \rm 1 u = 1.6605 \times 10^{ -27} \ kg. It can be used as an approximation for the average mass of a nucleon in a nucleus, taking the binding energy into account. Find the energy obtained after converting a nucleus of 14 nucleons completely into free energy.

Mass-Energy Equivalence Question Number 5: Can we convert matter completely into energy?

Heisenberg Uncertainty Principle Question Number 1: The location of a particle is measured with an uncertainty of 2.145\rm \ nm .

a) What will be the resulting minimum uncertainty in the particle’s momentum?

b) If the mass of the particle is 4.734 \times 10^{ -27}\rm \ kg then what will be the minimum uncertainty in the velocity measurement?

 Heisenberg Uncertainty Principle Question Number 2: The uncertainty in an electron’s position is 10.0\rm \ pm.

a) Find the minimum uncertainty in its momentum.

b) Find the minimum uncertainty in its velocity.

c) What will be the kinetic energy of the electron if the momentum is equal to the uncertainty in momentum?

Heisenberg Uncertainty Principle Question Number 3: A particle’s energy is measured with an uncertainty of 1.1 \times 10^{ -3}\rm \ eV. What will be the smallest possible uncertainty in our knowledge of when the particle had the given uncertainty of energy?

Heisenberg Uncertainty Principle Question Number 4: a) If an electron’s position can be measured to a precision of 2.0 \times 10^{ -8} \rm \ m, what will be the uncertainty in its momentum? b) If its momentum is equal to its uncertainty then what will be the electron’s wavelength?

Nuclear Landscape Question Number 1: Which one of the following concepts explains why heavy nuclei do not follow the N = Z line?

a) Pauli exclusion principle

b) transmutation

c) Coulomb’s repulsion

d) Heisenberg uncertainty principle

e) particle-wave duality