Two bulbs,one of $50\, W$ and another of $25\, W$,are connected in series to the mains. The ratio of the currents through them is:

Different combinations of $3$ resistors of equal resistance $R$ are shown in the figures. The increasing order for power dissipation is:

The equivalent resistance of two resistors connected in series is $6 \ \Omega$ and their parallel equivalent resistance is $\frac{4}{3} \ \Omega$. What are the values of the resistances?

$A$ letter $A$ is constructed of a uniform wire with resistance $1.0\,\Omega/cm$. The sides of the letter are $20\,cm$ and the cross-piece in the middle is $10\,cm$ long. The apex angle is $60^\circ$. The resistance between the ends $A$ and $D$ is ............. $\Omega$.

Some electric bulbs are connected in series across a $220\, V$ supply in a room. If one bulb is fused,then the remaining bulbs are connected again in series across the same supply. The illumination in the room will

The brightness of a bulb will be reduced,if a resistance is connected in