(B) We analyze each unit in List-$I$:$1$. Joule $(J)$: Unit of energy. Since $W = Q \times V$,$1 \text{ Joule} = 1 \text{ Coulomb} \times 1 \text{ Vol

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(B) We analyze each unit in List-$I$:$1$. Joule $(J)$: Unit of energy. Since $W = Q \times V$,$1 \text{ Joule} = 1 \text{ Coulomb} \times 1 \text{ Volt}$. Thus,$I-C$.$2$. Watt $(W)$: Unit of power. Since $P = I^2 R$,$1 \text{ Watt} = 1 \text{ Amp}^2 \times 1 \text{ Ohm}$. Thus,$II-F$.$3$. Volt $(V)$: Unit of potential difference. From Faraday's law,$V = L \frac{di}{dt}$,so $1 \text{ Volt} = 1 \text{ Henry} \times 1 \text{ Amp/sec}$. Thus,$III-A$.$4$. Coulomb $(C)$: Unit of charge. Since $Q = C \times V$ (where $C$ is capacitance),$1 \text{ Coulomb} = 1 \text{ Farad} \times 1 \text{ Volt}$. Thus,$IV-B$.Therefore,the correct matching is $I-C, II-F, III-A, IV-B$.

Class 12 Physics Current Electricity Mix Examples-Current Electricity

Medium

Match List-$I$ with List-$II$ and select the correct answer using the codes given below the lists.

List-$I$ List-$II$

$I$. Joule $A$. $\text{Henry} \times \text{Amp/sec}$

$II$. Watt $B$. $\text{Farad} \times \text{Volt}$

$III$. Volt $C$. $\text{Coulomb} \times \text{Volt}$

$IV$. Coulomb $D$. $\text{Oersted} \times \text{cm}$

$E$. $\text{Amp} \times \text{Gauss}$

$F$. $\text{Amp}^2 \times \text{Ohm}$

List-$I$	List-$II$
$I$. Joule	$A$. $\text{Henry} \times \text{Amp/sec}$
$II$. Watt	$B$. $\text{Farad} \times \text{Volt}$
$III$. Volt	$C$. $\text{Coulomb} \times \text{Volt}$
$IV$. Coulomb	$D$. $\text{Oersted} \times \text{cm}$
	$E$. $\text{Amp} \times \text{Gauss}$
	$F$. $\text{Amp}^2 \times \text{Ohm}$

A
$I-A, II-F, III-E, IV-D$
B
$I-C, II-F, III-A, IV-B$
C
$I-C, II-F, III-A, IV-E$
D
$I-B, II-F, III-A, IV-C$

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Current Electricity

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Mix Examples-Current Electricity

The charge flowing through a resistance $R$ varies with time as $Q = 2t - 8t^2$. The total heat produced in the resistance is (for $0 \leq t \leq \frac{1}{8} \ s$)

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In the circuit shown below,the resistance and the emf source are both variable. The graph of seven readings of the voltmeter and the ammeter ($V$ and $I$,respectively) for different settings of resistance and the emf,taken at equal intervals of time $\Delta t$,are shown below by the dots connected by the curve $EFGH$. Consider the internal resistance of the battery to be negligible and the voltmeter and ammeter to be ideal devices. (Take $R_0 = \frac{V_0}{I_0}$). Then,the plot of the resistance as a function of time corresponding to the curve $EFGH$ is given by:

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Three $60\, W$ light bulbs are mistakenly wired in series and connected to a $120\, V$ power supply. Assume the light bulbs are rated for single connection to $120\, V$. With the mistaken connection,the power dissipated by each bulb is: .................. $W$

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$A$ thermocouple produces $200\,\mu V$ between $0\,^oC$ and $100\,^oC$. If it produces $64\,\mu V$ and $76\,\mu V$ for temperature ranges $(0\,^oC - 32\,^oC)$ and $(32\,^oC - 70\,^oC)$ respectively,then the thermo $emf$ produced between $70\,^oC$ and $100\,^oC$ will be ........... $\mu V$.

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$A$ current of $0.1 \,A$ flows through a $25 \,\Omega$ resistor as shown in the circuit diagram. The current in the $80 \,\Omega$ resistor is ........... $A$.

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The charge flowing through a resistance $R$ varies with time as $Q = 2t - 8t^2$. The total heat produced in the resistance is (for $0 \leq t \leq \frac{1}{8} \ s$)

Three $60\, W$ light bulbs are mistakenly wired in series and connected to a $120\, V$ power supply. Assume the light bulbs are rated for single connection to $120\, V$. With the mistaken connection,the power dissipated by each bulb is: .................. $W$

$A$ thermocouple produces $200\,\mu V$ between $0\,^oC$ and $100\,^oC$. If it produces $64\,\mu V$ and $76\,\mu V$ for temperature ranges $(0\,^oC - 32\,^oC)$ and $(32\,^oC - 70\,^oC)$ respectively,then the thermo $emf$ produced between $70\,^oC$ and $100\,^oC$ will be ........... $\mu V$.

$A$ current of $0.1 \,A$ flows through a $25 \,\Omega$ resistor as shown in the circuit diagram. The current in the $80 \,\Omega$ resistor is ........... $A$.

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