
- Transistors (A) use a battery with an anode of Zn/Hg and a cathode of HgO + C.
- Hearing aids (B) use a battery with an anode of Zn and a cathode of Carbon.
- Inverters (C) use a hydrogen fuel cell as the energy source.
- Apollo space ship (D) uses a battery with an anode of Pb and a cathode of PbO\(_2\).
Therefore, the correct matching is \( \boxed{(A)-(III), (B)-(I), (C)-(IV), (D)-(II)} \).
A substance 'X' (1.5 g) dissolved in 150 g of a solvent 'Y' (molar mass = 300 g mol$^{-1}$) led to an elevation of the boiling point by 0.5 K. The relative lowering in the vapour pressure of the solvent 'Y' is $____________ \(\times 10^{-2}\). (nearest integer)
[Given : $K_{b}$ of the solvent = 5.0 K kg mol$^{-1}$]
Assume the solution to be dilute and no association or dissociation of X takes place in solution.
Inductance of a coil with \(10^4\) turns is \(10\,\text{mH}\) and it is connected to a DC source of \(10\,\text{V}\) with internal resistance \(10\,\Omega\). The energy density in the inductor when the current reaches \( \left(\frac{1}{e}\right) \) of its maximum value is \[ \alpha \pi \times \frac{1}{e^2}\ \text{J m}^{-3}. \] The value of \( \alpha \) is _________.
\[ (\mu_0 = 4\pi \times 10^{-7}\ \text{TmA}^{-1}) \]