A certain radionuclide is being manufactured in a cyclotron at a constant rate R. It is also decaying with disintegration constant l. Assume that the production process has been going on for a time that is much longer than the half-life of the radionuclide. (a) Show that the number of radioactive nuclei present after such time remains constant and is given by N= R/l. (b) Now show that this result holds no matter how many radioactive nuclei were present initially.The nuclide is said to be in secular equilibrium with its source; in this state its decay rate is just equal to its production rate.
Nuclear Fusion
Nuclear fusion is a type of nuclear reaction. In nuclear fusion, two or more than two lighter atomic nuclei combine to form a heavier nucleus. During this process, an enormous amount of energy is released. This energy is called nuclear energy. Nuclear fusion is the energy source of the sun and stars.
Fusion Bomb
A fusion bomb is also known as a thermonuclear bomb or hydrogen bomb which releases a large amount of explosive energy during a nuclear chain reaction when the lighter nuclei in it, combine to form heavier nuclei, and a large amount of radiation is released. It is an uncontrolled, self-sustaining nuclear chain reaction where isotopes of hydrogen combine under very high temperature to form helium. They work on the principle of operation of atomic fusion. The isotopes of Hydrogen are deuterium and tritium, where they combine their masses and have greater mass than the product nuclei, get heated at high temperatures, and releases energy.
A certain radionuclide is being manufactured in a
cyclotron at a constant rate R. It is also decaying with disintegration
constant l. Assume that the production process has been going on
for a time that is much longer than the half-life of the radionuclide.
(a) Show that the number of radioactive nuclei present after such
time remains constant and is given by N= R/l. (b) Now show that
this result holds no matter how many radioactive nuclei were present
initially.The nuclide is said to be in secular equilibrium with its
source; in this state its decay rate is just equal to its production rate.
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