Three light bulbs of $40\, W$,$60\, W$,and $100\, W$ are connected in series with a $220\, V$ source. Which one of the bulbs will glow brightest?

$A$ heater coil is cut into two equal parts and only one part is used in the heater. What is the ratio of the heat produced by the half coil to that produced by the original full coil?

An infinite ladder network of resistors is shown in the figure. If $R_1 = 1 \, \Omega$ and $R_2 = 2 \, \Omega$,then the equivalent resistance between $A$ and $B$ is ................ $\Omega$.

In the given circuit,an ideal voltmeter connected across the $10\,\Omega$ resistance reads $2\,V$. The internal resistance $r$ of each cell is ................... $\Omega$.

Two electric resistors have equal values of resistance $R$. Each can be operated with a power of $320 \ W$ at $220 \ V$. If the two resistors are connected in series to a $110 \ V$ electric supply,then the power generated in each resistor is (in $W$)

$A$ battery of $6 \text{ V}$ is connected to the ends of a uniform wire $3 \text{ m}$ long and of resistance $100 \Omega$. The potential difference between two points $50 \text{ cm}$ apart on the wire is: (in $\text{ V}$)