HARD
JEE Main
IMPORTANT
Earn 100

Find the energy Q liberated in β- and β+ decays and in K capture, if the masses of the parent atom Mp, the daughter atom Md and an electron m are known.( c is speed of light)

Important Questions on ATOMIC AND NUCLEAR PHYSICS

HARD
JEE Main
IMPORTANT
Taking the values of atomic masses from the tables, find the maximum kinetic energy of beta particles emitted by Be10 nuclei and the corresponding kinetic energy of the recoiling daughter nuclei formed directly in the ground state.

Be10=10.016711 amu
B10=10.016114 amu

HARD
JEE Main
IMPORTANT

Evaluate the amount of heat produced during a day by β- active Na24 preparation of mass m=1.0 mg. The beta-particles are assumed to possess an average kinetic energy equal to 1/3 of the highest possible energy of the given decay. The half-life of Na24 is T=15 hours.

Mass of Na24 is 24.00903 amu and of Mg24 is 24.01496 amu , energy equivalent of neutrinos or electron is 0.511 MeV

1 amu=1.67×10-24 g and 1 amu is equivalent to 931.5 MeV of energy, speed of light 3×108 ms-1.

HARD
JEE Main
IMPORTANT

Taking the values of the atomic masses from the tables, calculate the kinetic energies of a positron and a neutrino emitted by C11 nucleus for the case, when the daughter nucleus does not recoil.

Mass defect due to positron is 0.00213 amu, energy equivalent of neutrinos or electron is 0.511 MeV

1 amu=1.67×10-24 g and 1 amu is equivalent to 931.5 MeV of energy, speed of light 3×108 ms-1.

HARD
JEE Main
IMPORTANT

Find the kinetic energy of the recoil nucleus in the positron decay of N13 nucleus for the case when the energy of the positron is maximum.

energy equivalent of neutrinos or electron is 0.511 MeV

1 amu=1.67×10-24 g and 1 amu is equivalent to 931 MeV of energy, speed of light 3×108 ms-1.

HARD
JEE Main
IMPORTANT
From the tables of atomic masses, determine the velocity of a nucleus appearing as a result of K capture in a Be7 atom, provided the daughter nucleus turns out to be in the ground state.

energy equivalent of neutrinos or electron is 0.511 MeV

1 amu=1.67×10-24 g and 1 amu is equivalent to 931 MeV of energy, speed of light 3×108 ms-1.

HARD
JEE Main
IMPORTANT
Аn alpha particle with kinetic energy, Tα=7.0 MeV, is scattered elastically by an initially stationary Li6 nucleus. Find the kinetic energy of the recoil nucleus if the angle of divergence of the two particles is θ=60°.
HARD
JEE Main
IMPORTANT
A neutron collides elastically with an initially stationary deuteron. Find the fraction of the kinetic energy lost by the neutron,
(a) in a head-on collision.
(b) in scattering at right angles.
HARD
JEE Main
IMPORTANT

Find the greatest possible angle through which a deuteron is scattered as a result of elastic collision with an initially stationary proton.