Question

The specific conductance of a conductor increases with-
1- increase in temperature
2- increase in cross sectional area
3- decrease in length
4- decrease in cross sectional area

Answer 1

Hint: Specific conductance tells us with how much ease at which electric current can flow through a material.
The SI unit of measuring the conductivity is siemens per metre (S/m).

Complete step by step answer:
Ohm’s law says, \[V=IR\]
Also resistance in terms of resistivity can be written as, \[R=\dfrac{\rho l}{A}\], where \[\rho \] is the resistivity , l is the length of the conductor and A is the area of the cross section. Talking about specific conductance, it is defined as the reciprocal of specific resistance. It is denoted by the Greek symbol kappa, \[\kappa \].
\[\kappa =\dfrac{1}{\rho }\]
specific conductance is a property of a material and it will decrease with the increase of temperature, and talking about the specific conductance, it increases with increase in length and decrease in cross sectional area.

So, the correct answer is “Option 4”.

Additional Information:
 Most conductive materials change specific resistance with temperature changes. That is why we have temperature variation of resistance and resistivity. Depending upon the electrical resistivity value of a particular material, it can be classified as being either a “conductor”, an “insulator” or a “semiconductor”.

Note:
In general these properties are dependent upon the nature of the material used. Contrary to this, the resistance of a conductor depends upon the nature of the material used, length of the conductor, cross sectional area of the conductor and the temperature of the conductor.