An electric kettle has two heating coils. When one coil is used, water in the kettle boils in $5$ minutes, while when second coil is used, same water boils in $10\,\min$. If the two coils, connected in parallel are used simultaneously, the same water will boil in time
$3$ $\min$ $20$ $sec$
$5$ $\min$
$7\, \min$ $30\, sec$
$2\, \min$ $30\, sec$
A $10\, V$ storage battery of negligible internal resistance is connected across a $50\,\Omega $ resistor. How much heat energy is produced in the resistor in $1$ hour ............... $J$
The resistance of the filament of a lamp increases with the increase in temperature. A lamp rated $100\, W, 220\, V$ is connected across $220\, V$ power supply. If the voltage drops by $10\%$ then the power of lamp will be
A $10\, ohm$ electric heater operates on a $110\, V$ line. Calculate the rate at which it develops heat in ............... $watts$
Two coils require $20$ minutes and $60$ minutes respectively to produce same amount of heat energy when connected separately to the same source. If they are connected in parallel arrangement to the same source; the time required to produce same amount of heat by the combination of coils, will be________ $min$
The charge flowing through a resistance $R$ varies with time as $Q = 2t - 8t^2$. The total heat produced in the resistance is (for $0 \leq t \leq \frac{1}{8}$)