Three electric bulbs of $200 \mathrm{W}$ and $400 \mathrm{W}$ are shown in figure. The resultant power of the combination, if rated voltage is applied across the combination is

In the adjacent shown circuit, a voltmeter of internal resistance $R$ when connected across $B$ and $C$ reads $\frac{100}{3} \mathrm{V}$. Neglecting the internal resistance of the battery, the value of $R$ is

Two non-ideal non-identical batteries are connected in parallel with positive terminals of both connected together. Consider the following statements.

(A) The equivalent emf is smaller than either of the two emfs.

(B) The equivalent internal resistance is smaller than either of the two internal resistances.

In the circuit shown in figure, the resistance $R$ has a value that depends on the current. Specifically $R$ is $20 \mathrm{\Omega }$, when $i$ is zero and the amount of increase in resistance is numerically equal to one-half of the current.

What is the value of current $i$ in circuit?

In the adjoining circuit, the battery $E_1$ has an emf of $12 \mathrm{V}$ and internal resistance While the battery $E_2$ has an emf of $2 \mathrm{V}$. If the galvanometer $G$ reads zero, then the value of the $X$ in ohms is

The current drawn from the battery shown in the figure is