Following figures show different combinations of identical bulb$(s)$ connected to identical battery$(ies)$. Which option is correct regarding the total power dissipated in the circuit?

A piece of fuse wire melts when a current of $15\, ampere$ flows through it. With this current, if it dissipates $22.5\, W$, the resistance of fuse wire will be .............. $\Omega$

If power in external resistance $R$ is maximum then

$(i) R = r$                              $(ii)$ Power in $R$ is $\frac{{{E^2}}}{{4R}}$

$(iii)$ Input power $\frac{{{E^2}}}{{2R}}$         $(iv)$Efficiency is $50\%$

How many calories of heat will be produced approximately in a $210\, watt$ electric bulb in $5$ minutes .............. $cal $

A time varying current $i$ is passed through a resistance $R$ as shown in figure. The total heat generated in the resistance is

Water of volume $2\, litre$ in a container is heated with a coil of $1\, kW$ at $27 \,^oC$. The lid of the container is open and energy dissipates at rate of $160\, J/s$. In how much time temperature will rise from $27\,^oC$ to $77\,^oC$ $[$ Given specific heat of water is $4.2\, kJ/kg$ $]$