When the power delivered by a $100\,volt$ battery is $40\,watts$ the equivalent resistance of the circuit is ........... $ohms$

Assertion : An electric bulb becomes dim, when the electric heater in parallel circuit is switched on.

Reason : Dimness decreases after sometime.

A heating coil is labelled $100\, W$, $220\, V$. The coil is cut in half and the two pieces are joined in parallel to the same source. The energy now liberated per second is .............. $J$

Six similar bulbs are connected as shown in the figure with a $DC$ source of $emf\; E$, and zero internal resistance. The ratio of power consumption by the bulbs when $(i)$ all are glowing and $(ii)$ in the situation when two from section $A$ and one from section $B$ are glowing, will be

In the circuit shown, the thermal power dissipated in $R_1$ is $P$. The thermal power dissipated in $R_2$ is

A current of $2\, A$ passing through conductor produces $80\, J$ of heat in $10$ seconds. The resistance of the conductor is ............ $\Omega$