Two resistors of $6\,\Omega$ and $9\,\Omega$ are connected in series to a $120\,V$ source. The power consumed by the $6\,\Omega$ resistor is ........... $W$.

Two resistances,each equal to $R_0$ at $0\,^oC$,have temperature coefficients of resistance $\alpha_1$ and $\alpha_2$. When they are joined in series,the temperature coefficient of the equivalent resistance is:

$A$ $DC$ supply of $160 \ V$ is used to charge a battery of $EMF$ $10 \ V$ and internal resistance $1 \ \Omega$ by connecting a series resistance of $24 \ \Omega$. The terminal voltage of the battery during charging is (in $V$)

One end of a Nichrome wire of length $2L$ and cross-sectional area $A$ is attached to an end of another Nichrome wire of length $L$ and cross-sectional area $2A$. If the free end of the longer wire is at an electric potential of $8.0\,V$,and the free end of the shorter wire is at an electric potential of $1.0\,V$,the potential at the junction of the two wires is equal to ............. $V$.

$A$ filament bulb $(500 \,W, 100 \,V)$ is to be used in a $230 \,V$ main supply. When a resistance $R$ is connected in series,it works perfectly and the bulb consumes $500 \,W$. The value of $R$ is .................. $\Omega$.

Two resistors $400 \, \Omega$ and $800 \, \Omega$ are connected in series across a $6 \, V$ battery. The potential difference measured by a voltmeter of $10 \, k \Omega$ connected across the $400 \, \Omega$ resistor is close to $.... \, V$.