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

If resistance of the filament increases with temperature, what will be power dissipated in a $220\, V- 100\, W$ lamp when connected to $110\, V$ power supply

An expression for rate of heat generated, if a current of $I$ ampere flows through a resistance of $R$ $\Omega$, is

The charge flowing through a resistance $R$ varies with time as $Q = 2t - 8t^2$. The total heat produced in the resistance is (for $0 \leq t \leq \frac{1}{8}$)

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

The resistance of the filament of an electric bulb changes with temperature. If an electric bulb rated $220\, volt$ and $100\, watt$ is connected $(220 \times 0.8)$ $volt$ sources, then the actual power would be