A uniform magnetic field exists in region given by $\overrightarrow{B}=3\hat{\mathrm{i}}+4\hat{\mathrm{j}}+5\hat{\mathrm{k}} \mathrm{T}$. A rod of length $5 \mathrm{m}$ is placed along $y$-axis is moved along $x$-axis with constant speed $1 \mathrm{m} {\mathrm{s}}^{-1}$. Then induced $\mathrm{e}.\mathrm{m}.\mathrm{f}.$ in the rod will be,

A copper rod $AB$ of length $l$, pivoted at one end $A$, rotates at constant angular velocity $\omega$, at right angles to a uniform magnetic field of induction $B.$The emf, developed between the mid point $C$ of the rod and end $B$ is

In the given circuit, bulb will become suddenly bright, if

Figure shows an $L-R$ circuit. When the switch $S$ is closed, the current through resistor $R_1, R_2$ and $R_3$ are $I_1, I_2$and $I_3$ respectively. The value of $I_1, I_2$ and $I_3$ at $t=0 \mathrm{s}$ is

The switch shown in the circuit is closed at $t=0.$The current drawn from the battery by the circuit at $t=0$ and $t=\infty$ are in the ratio

The figure shows three circuits with identical batteries, inductors and resistances. Rank the circuits in decreasing order, according to the current through the battery just after the switch is closed.