Column-$I$ gives certain physical quantities associated with the flow of current through a metallic conductor. Column-$II$ gives some mathematical relations involving electrical quantities. Match Column-$I$ and Column-$II$ with appropriate relations.
$A$. Mobility$P$. $\frac{m}{ne^2 \rho}$
$B$. Electrical conductivity$Q$. $neAv_{d}$
$C$. Relaxation period$R$. $\frac{v_{d}}{E}$
$D$. Current$S$. $\frac{J}{E}$

  • A
    $A \rightarrow R ; B \rightarrow S ; C \rightarrow P ; D \rightarrow Q$
  • B
    $A \rightarrow R ; B \rightarrow S ; C \rightarrow Q ; D \rightarrow P$
  • C
    $A \rightarrow R ; B \rightarrow P ; C \rightarrow S ; D \rightarrow Q$
  • D
    $A \rightarrow R ; B \rightarrow Q ; C \rightarrow S ; D \rightarrow P$

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Match the List-$I$ with the List-$II$ from the combination shown. In the left side (List-$I$) there are four different conditions and in the right side (List-$II$), there are ratios of heat produced in each resistance for each condition:
List-$I$List-$II$
$(I)$ Two wires of same resistance are connected in series and same current is passed through them$(A)$ $1:2$
$(II)$ Two wires of resistance $R$ and $2R$ $\Omega$ are connected in series and same $P.D.$ is applied across them$(B)$ $4:1$
$(III)$ Two wires of same resistance are connected in parallel and same current is flowing through them$(C)$ $1:1$
$(IV)$ Two wires of resistances in the ratio $1:2$ are connected in parallel and same $P.D.$ is applied across them$(D)$ $2:1$

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Assertion: In a simple battery circuit,the point of the lowest potential is the positive terminal of the battery.
Reason: The current flows towards the point of the higher potential,as it does in such a circuit from the negative to the positive terminal.

The supply voltage to a room is $120\ V$. The resistance of the lead wires is $6\,\Omega$. $A$ $60\ W$ bulb is already switched on. What is the decrease in voltage across the bulb when a $240\ W$ heater is switched on in parallel to the bulb? ............. $V$

$A$ $3\,^oC$ rise in temperature is observed in a conductor by passing a certain current. When the current is doubled,the rise in temperature will be ............. $^oC$.

There are two electric bulbs of $40\, W$ and $100\, W$. Which one will be brighter when first connected in series and then in parallel?

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