Which of the following plots may represent the thermal energy produced in a resistor in a given time as a function of the electric current?

The emf of a car battery is $12 \ V$. If the internal resistance of the battery is $0.4 \ \Omega$,then the maximum power drawn from the battery is . . . . . . $W$.

$A$ battery with a $12 \, V$ emf has an initial charge of $80 \, A \cdot h$. If the potential across the terminals stays constant until the battery is completely discharged, then this battery can deliver energy at the rate of $120 \, W$ for a time of: (in $ \, h$)

$A$ $6.0\,V$ battery is connected to two light bulbs as shown in the figure. Light bulb $1$ has a resistance of $3\,\Omega$ while light bulb $2$ has a resistance of $6\,\Omega$. The battery has negligible internal resistance. Which bulb will glow brighter?

Water in an electric kettle starts boiling in $15 \ min$ after being switched on. If the length of the heating wire is reduced to $2/3$ of its original length,the time taken to boil the same amount of water will be ........... $min$.

The power rating of an electric motor which draws a current of $3.75\, A$ when operated at $200\, V$ is about: