An electric fan and a heater are marked as $100\, watt$, $220\, volt$ and $1000\, watt$, $220\, volt$ respectively. The resistance of the heater is
Zero
Greater than that of the fan
Less than that of the fan
Equal to that of the fan
The capacitor shown in fig. is in steady state. The energy stored in the capacitor is
An electric bulb rated as $200\, {W}$ at $100 \,{V}$ is used in a circuit having $200\, {V}$ supply. The resistance $'R'$ that must be put in series with the bulb so that the bulb delivers the same power is $.....\,\Omega$
Two electric bulbs whose resistances are in the ratio of $1 : 2$ are connected in parallel to a constant voltage source. The powers dissipated in them have the ratio
A heater is designed to operate with a power of $1000 \mathrm{~W}$ in a $100 \mathrm{~V}$ line. It is connected in combination with a resistance of $10 \Omega$ and a resistance $R$, to a $100 \mathrm{~V}$ mains as shown in figure. For the heater to operate at $62.5 \mathrm{~W}$, the value of $\mathrm{R}$ should be .................. $\Omega$.
If current in an electric bulb changes by $1\%$, then the power will change by ............ $\%$