Calculate the binding energy per nucleon for Ne 10 20 . Given that m H = 1 . 007825 u , m n = 1 . 008665 u and mass of Ne 10 20 atom 19 . 992440 u .

For N 10 20 e : mass defect, ∆ m = 10 m p + 20 - 10 m n + M N e ∆ m = 10 × 1 . 007825 + 10 * 1 . 008665 - 19 . 9924 = 0 . 1725 a m u Binding energy per nucleon B E = ∆ m c 2 A = 0 . 1725 c 2 20 = 0 . 0086 c 2 a m u = 0 . 0086 × 931 . 5 = 8 . 03 M e V a s 1 a m u = 931 . 5 M e V / c 2 ...

Define the terms “half-life period” and “decay constant” of a radioactive sample. Derive the relation between them.

Half-life period: The half-life period of an element is defined as the time in which the number of radioactive nuclei decay to half of its initial value. Decay constant: The decay constant of a radioactive element is defined as the reciprocal of time in which the number of undecayed nuclei of that radioactive element fails to 1 e times of its initial time. The relation between half-life and decay constant-The radioactive decay equation is N = N o e - λ t . . . . . . ( i ) when t = T , N = N o 2 ∴ N o 2 = N o e - λ T o r e - λ T = 1 2 . . . . . . . ( i i ) Taking log of both sides - λ T log e = log e 1 - log e 2 o r λ T = log e 2 ∴ T = log e 2 λ = 2 . 3026 log 10 2 λ = 2 . 3026 × 0 . 3010 λ o r T = 0 . 6931 λ . ..

Calculate the binding energy per nucleon for Ne 10 20 . Given that m H = 1 . 007825 u , m n = 1 . 008665 u and mass of Ne 10 20 atom 19 . 992440 u .

For N 10 20 e : mass defect, ∆ m = 10 m p + 20 - 10 m n + M N e ∆ m = 10 × 1 . 007825 + 10 * 1 . 008665 - 19 . 9924 = 0 . 1725 a m u Binding energy per nucleon B E = ∆ m c 2 A = 0 . 1725 c 2 20 = 0 . 0086 c 2 a m u = 0 . 0086 × 931 . 5 = 8 . 03 M e V a s 1 a m u = 931 . 5 M e V / c 2 ...