(D) The slope of the $I-V$ curve is given by $\text{slope} = \frac{I}{V} = \frac{1}{R}$.Since resistance $R = \frac{\rho L}{A}$, we have $\text{slope}

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Less if the length of the wire is increased

(D) The slope of the $I-V$ curve is given by $\text{slope} = \frac{I}{V} = \frac{1}{R}$.Since resistance $R = \frac{\rho L}{A}$, we have $\text{slope} = \frac{1}{R} = \frac{A}{\rho L}$.From this expression, it is clear that the slope is inversely proportional to the length $L$ of the wire $(\text{slope} \propto \frac{1}{L})$.Therefore, if the length of the wire is increased, the slope of the curve will decrease.Thus, option $(d)$ is correct.

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

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$I-V$ characteristic of a copper wire of length $L$ and area of cross-section $A$ is shown in the figure. The slope of the curve becomes

A
More if the experiment is performed at a higher temperature
B
More if a wire of steel of the same dimension is used
C
More if the length of the wire is increased
D
Less if the length of the wire is increased

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Current Electricity

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Resistance of wire, Resistivity and Conductivity

Two solid conductors are made of the same material,have the same length,and have the same resistance. One of them has a circular cross-section of area $A_{1}$ and the other has a square cross-section of area $A_{2}$. The ratio $\frac{A_{1}}{A_{2}}$ is

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$A$ strip of copper and another of germanium are cooled from room temperature to $80\, K$. The resistance of

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$A$ nichrome wire $50 \text{ cm}$ long and $1 \text{ mm}^2$ cross-section carries a current of $4 \text{ A}$ when connected to a $2 \text{ V}$ battery. The resistivity of the nichrome wire in $\Omega \cdot \text{m}$ is:

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The specific resistance of all metals is most affected by

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$A$ uniform wire of resistance $R$ is uniformly compressed along its length,until its radius becomes $n$ times the original radius. Now,the resistance of the wire becomes:

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$I-V$ characteristic of a copper wire of length $L$ and area of cross-section $A$ is shown in the figure. The slope of the curve becomes

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Two solid conductors are made of the same material,have the same length,and have the same resistance. One of them has a circular cross-section of area $A_{1}$ and the other has a square cross-section of area $A_{2}$. The ratio $\frac{A_{1}}{A_{2}}$ is

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