Which of the following statement is false
Heat produced in a conductor is proportional to its resistance
Heat produced in a conductor is proportional to the square of the current
Heat produced in a conductor is proportional to charge
Heat produced in a conductor is proportional to the time for which current is passed
A student in a town in India, where the price per unit ( $1$ unit $=1 \,kWh$ ) of electricity is $₹ 5.00$, purchases a $1 \,kVA$ $UPS$ (uninterrupted power supply) battery. A day before the exam, $10$ friends arrive to the student's home with their laptops and all connect their laptops to the $UPS$. Assume that each laptop has a constant power requirement of $90 \,W$. Consider the following statements.
$I.$ All the $10$ laptops can be powered by the $UPS$, if connected directly.
$II.$ All the $10$ laptops can be powered, if connected using an extension box with a $3 \,A$ fuse.
$III.$ If all the $10$ friends use the laptop for $5 \,h$, then the cost of the consumed electricity is about $₹ 22.50.$
Select the correct option with the true statements.
The maximum power drawn out of the cell from a source is given by (where $r$ is internal resistance)
Two heater wires of equal length are first connected in series and then in parallel. The ratio of heat produced in the two cases is
A $25\, W$, $ 220\, V$ bulb and a $100\, W$, $220\, V$ bulb are connected in parallel across a $440\, V$ line
In the circuit shown in figure, if ammeter and voltmeter are ideal, then the power consumed in $9 \,\Omega$ resistor will be .......... $W$