1. The decay of radioactive substance is given by -t T N=Noe (1), where N is the number of atoms present at time t, No is the initial number of atoms and T is the exponential decay constant, which is related to the decay rate of the element. The half-life that is the time required for the number to atoms to decay by half (- N 1 = No 2 -). Solve for thalf starting from equation (1) in terms of T. Note: Use MathType to enter in T. Do not use the letter "T" from the keyboard. Don't forget the multiplication sign between variables. Use the asterisk symbol (*) for multiplication or the multiplication symbol in the math editor (orange box). thalf ✔S
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.
 alt="Review: Logarithms, Half Life in Radioactivity
Please answer the following question(s):
1. The decay of radioactive substance is given by
arch
-t
N=Noe (1),
where N is the number of atoms present at time t, No is the initial number of atoms and 7 is the
exponential decay constant, which is related to the decay rate of the element. The half-life thalf is the
time required for the number to atoms to decay by half (- N 1
No 2
-).
Solve for thalf starting from equation (1) in terms of T.
Note: Use MathType to enter in T. Do not use the letter "T" from the keyboard. Don't forget the
multiplication sign between variables. Use the asterisk symbol (*) for multiplication or the
multiplication symbol in the math editor (orange box).
thalf =
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