Atoms and Nucle...

The activity of a radioactive sample is measured as N_o counts per minute at t = 0 and N_o/C counts per minute at t = 5 min. The time, (in minute) at which the activity reduces to half its value, is

Given a sample of radium -226 having half-life of 4 days. Find, the probability, a nucleus disintegrates after 2 half lifes.

The relation between half - life (T) and decay constant (λ) is

For the radioactive nuclei that undergo either α or β decay, which one of the following cannot occur?

In a radioactive disintegration, the ratio of initial number of atoms to the number of atoms present at an instant of time equal to its mean life is

The β -decay process, discovered around 1900, is basically the decay of a neutron (n). In the laboratory, a proton (p) and an electron (e^- ) are observed as the decay products of the neutron. Therefore, considering the decay of a neutron as a two body decay process, it was predicted theoretically that the kinetic energy of the electron should be a constant. But experimentally, it was observed that the electron kinetic energy has a continuous spectrum. Considering a three body decay process, i.e. n → p + e^- + v_e around 1930, Pauli explained the observed electron energy spectrum. Assuming the anti-neutrino (v ̅_e) to be mass-less and possessing negligible energy, and the neutron to be at rest, momentum and energy conservation principles are applied. From this calculation, the maximum kinetic energy carried by the proton is 0.8 × 106 eV. The Kinetic energy of the electron is only the recoil energy.
What is the maximum energy of the anti-neutrino?

The β -decay process, discovered around 1900, is basically the decay of a neutron (n). In the laboratory, a proton (p) and an electron (e^- ) are observed as the decay products of the neutron. Therefore, considering the decay of a neutron as a two body decay process, it was predicted theoretically that the kinetic energy of the electron should be a constant. But experimentally, it was observed that the electron kinetic energy has a continuous spectrum. Considering a three body decay process, i.e. n → p + e^- + v_e around 1930, Pauli explained the observed electron energy spectrum. Assuming the anti-neutrino (v ̅_e) to be mass-less and possessing negligible energy, and the neutron to be at rest, momentum and energy conservation principles are applied. From this calculation, the maximum kinetic energy carried by the proton is 0.8 × 106 eV. The Kinetic energy of the electron is only the recoil energy.
A radioactive element has half-life period of 600 yr. After 3000 yr, what amount will remain?

The β -decay process, discovered around 1900, is basically the decay of a neutron (n). In the laboratory, a proton (p) and an electron (e^- ) are observed as the decay products of the neutron. Therefore, considering the decay of a neutron as a two body decay process, it was predicted theoretically that the kinetic energy of the electron should be a constant. But experimentally, it was observed that the electron kinetic energy has a continuous spectrum. Considering a three body decay process, i.e. n → p + e^- + v_e around 1930, Pauli explained the observed electron energy spectrum. Assuming the anti-neutrino (v ̅_e) to be mass-less and possessing negligible energy, and the neutron to be at rest, momentum and energy conservation principles are applied. From this calculation, the maximum kinetic energy carried by the proton is 0.8 × 106 eV. The Kinetic energy of the electron is only the recoil energy.
A radioactive substance decays at the rate 5000 disintegration per minute. After 5 mins, it disintegrates at 1250 disintegration per min. The decay constant

The half of a radioactive substance is 20 min. The approximate time interval (t₂ – t₁) between the time t₂ when 2/3 of it has decayed and time t₁ when 1/3 of it had decayed is

The fraction of the initial number of radioactive nuclei which remain undecayed after half of a half-life of the radioactive sample is