Question

The slope of current (I) verses voltage (V) graph is called:
 

$\left( A \right)$ Resistance.
$\left( B \right)$ Resistivity.
$\left( C \right)$ Specific conductance.
$\left( D \right)$ Conductance.

Answer 1

Hint: For a particular conductor the value of its resistance is always constant so as we vary the voltage only current is changing its value according to voltage not the resistance of the ohmic conductor and use Ohm’s law in this question so use these concepts to reach the solution of the question.

Complete step-by-step solution -

As we know that according to Ohm’s law current (I) through the conductor between two points is directly proportional to the voltage (V).
$ \Rightarrow I \propto V$
Now the proportionality constant is (1/R) which is nothing but the conductance of the material (as R is resistance of the material).
$ \Rightarrow I = \dfrac{1}{R}V$
$ \Rightarrow I = GV$, where G = (1/R) conductance of the material
So the slope of current (I) verses voltage (V) is conductance.
$ \Rightarrow \dfrac{I}{V} = G$
Resistance of different materials are different according to the resistivity of the material resistance of the material is depend upon the resistivity, length and the area of the material which is given as
$ \Rightarrow R = \rho \dfrac{l}{A}$
Where, $\rho = $ resistivity of the material, l = length of the material and A = area of the material.
Resistance is often measured in ohms having symbol $\left( \Omega \right)$, whereas conductance is opposite of resistance so it is measured in $\left( {\dfrac{1}{\Omega }} \right)$ or mho having symbol $\left( \mho \right)$
So this is the required answer.
Hence option (D) is the correct answer.

Note – Whenever we face such types of questions always recall the statement of Ohm’s law which is stated above so as we vary the voltage, current is also vary according to the voltage directly so the slope between V and I is nothing but the resistance of the material and the slope between I and V is opposite of resistance which is conductance.