On balancing the given redox reaction,
$$\mathrm{aCr}_{2} \mathrm{O}_{7}^{2-}+\mathrm{bSO}_{3}^{2-}(\mathrm{aq})+\mathrm{cH}^{+}(\mathrm{aq}) \rightarrow 2 \mathrm{aCr}^{3+}(\mathrm{aq})+\mathrm{bSO}_{4}^{2-}(\mathrm{aq})+\frac{\mathrm{c}}{2} \mathrm{H}_{2} \mathrm{O}(\ell)$$
the coefficients $$\mathrm{a}, \mathrm{b}$$ and $$\mathrm{c}$$ are found to be, respectively -
Identify the final product [D] obtained in the following sequence of reactions.



In a series LCR circuit, the inductance $$L$$ is $$10 ~\mathrm{mH}$$, capacitance $$C$$ is $$1 ~\mu \mathrm{F}$$ and resistance $$R$$ is $$100 ~\Omega$$. The frequency at which resonance occurs is :-
The magnitude and direction of the current in the following circuit is :-

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