Nuclei

A nuclear reactor starts producing a radioactive nuclide X from t=0, at a constant rate of per second. Each decay of X produces energy E0, which is utilized to heat a liquid of mass m and specific heat s. Assuming no heat loss from the liquid and taking as the decay constant of X, the rate of increase in the temperature of the liquid is:

1. E0m s (1-e- t )
2. E0m s (e t-1 )
3. E0m s (1-e- t )
4. E0m s ( - e- t )

List-I shows various functional dependencies of energy (E) on the atomic number (Z). Energies associated with certain phenomena are given in List-II. Choose the option that describes the correct match between the entries in List-I to those in List-II.

1. P → 4, Q → 3, R → 1, S → 2
2. P → 5, Q → 2, R → 1, S → 4
3. P → 5, Q → 1, R → 2, S → 4
4. P → 3, Q → 2, R → 1, S → 5