A circuit with an electrical load having impedance $Z$ is connected with an AC source as shown in the diagram. The source voltage varies in time as $V(t)=300 \sin (400 t) \mathrm{V}$, where $t$ is time in s . List-I shows various options for the load. The possible currents $i(t)$ in the circuit as a function of time are given in List-II.

Choose the option that describes the correct match between the entries in List-I to those in ListII.
| List–I | List–II |
|---|---|
(P) ![]() |
(1) ![]() |
(Q) ![]() |
(2) ![]() |
(R) ![]() |
(3) ![]() |
(S) ![]() |
(4) ![]() |
(5) ![]() |
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.
| List–I | List–II |
|---|---|
| (P) $E \propto Z^2$ | (1) energy of characteristic x-rays |
| (Q) $E \propto (Z - 1)^2$ | (2) electrostatic part of the nuclear binding energy for stable nuclei with mass numbers in the range 30 to 170 |
| (R) $E \propto Z(Z - 1)$ | (3) energy of continuous x-rays |
| (S) $E$ is practically independent of $Z$ | (4) average nuclear binding energy per nucleon for stable nuclei with mass number in the range 30 to 170 |
| (5) energy of radiation due to electronic transitions from hydrogen-like atoms |
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