(D) The resistivity values at room temperature $(20^{\circ}C)$ for the given materials are approximately:Copper $(\rho_{C})$: $1.72 \times 10^{-8} \ \

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$\rho_{M} > \rho_{A} > \rho_{C}$

(D) The resistivity values at room temperature $(20^{\circ}C)$ for the given materials are approximately:Copper $(\rho_{C})$: $1.72 \times 10^{-8} \ \Omega \cdot m$Aluminium $(\rho_{A})$: $2.82 \times 10^{-8} \ \Omega \cdot m$Tungsten $(\rho_{T})$: $5.60 \times 10^{-8} \ \Omega \cdot m$Mercury $(\rho_{M})$: $98.0 \times 10^{-8} \ \Omega \cdot m$Comparing these values,we get $\rho_{M} > \rho_{T} > \rho_{A} > \rho_{C}$.Among the given options,the correct relationship is $\rho_{M} > \rho_{A} > \rho_{C}$.

Class 12 Physics Current Electricity Resistance of wire, Resistivity and Conductivity

Easy

Consider four conducting materials: copper,tungsten,mercury,and aluminium with resistivity $\rho_{C}, \rho_{T}, \rho_{M}$,and $\rho_{A}$ respectively. Then:

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A
$\rho_{A} > \rho_{T} > \rho_{C}$
B
$\rho_{C} > \rho_{A} > \rho_{T}$
C
$\rho_{A} > \rho_{M} > \rho_{C}$
D
$\rho_{M} > \rho_{A} > \rho_{C}$

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Current Electricity

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Resistance of wire, Resistivity and Conductivity

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$A$ rectangular parallelopiped is measured as $1\,cm \times 1\,cm \times 100\,cm$. If its specific resistance is $3 \times 10^{-7}\,\Omega\,m$,then the resistance between its two opposite rectangular faces (as shown in the figure) will be $.......... \times 10^{-7} \Omega$.

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Resistance of a tungsten wire at $150\,^{\circ}C$ is $133\,\Omega$. Its resistance temperature coefficient is $0.0045\,^{\circ}C^{-1}$. The resistance of this wire at $500\,^{\circ}C$ will be .............. $\Omega$.

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In an experiment,the resistance of a material is plotted as a function of temperature. As shown in the figure,the plot of $\ln R(T)$ versus $1/T^2$ is a straight line. One may conclude that:

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Specific resistance of a conductor increases with

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Three bulbs of $40\,W$,$60\,W$,and $100\,W$ are connected in series with a $220\,V$ supply. Which bulb has the minimum resistance?

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Consider four conducting materials: copper,tungsten,mercury,and aluminium with resistivity $\rho_{C}, \rho_{T}, \rho_{M}$,and $\rho_{A}$ respectively. Then:

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$A$ rectangular parallelopiped is measured as $1\,cm \times 1\,cm \times 100\,cm$. If its specific resistance is $3 \times 10^{-7}\,\Omega\,m$,then the resistance between its two opposite rectangular faces (as shown in the figure) will be $.......... \times 10^{-7} \Omega$.

Resistance of a tungsten wire at $150\,^{\circ}C$ is $133\,\Omega$. Its resistance temperature coefficient is $0.0045\,^{\circ}C^{-1}$. The resistance of this wire at $500\,^{\circ}C$ will be .............. $\Omega$.

In an experiment,the resistance of a material is plotted as a function of temperature. As shown in the figure,the plot of $\ln R(T)$ versus $1/T^2$ is a straight line. One may conclude that:

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