UP Police Constable Exam Model Paper 1

Question : 10 of 151

Marks: +1, -0

The resistance of a conductor decreases with

Solution:

Concept:
Resistance –

Where R = resistance, l = length, A = area of cross-section and ρ = resistivity
Explanation:
As given Resistance

\R={\ρl}/\A

From the above equation is clear that the resistance of the wire is directly proportional to the length of the wire . Hence, if the length of the wire is increased then resistance is also increased.

From the above equation is clear that the resistance of the wire is inversely proportional to the area of cross-section of the wire . Hence, if the area of cross-section of the wire is increased then resistance is also decreased.

From the above equation is clear that the resistance of the wire is directly proportional to the resistivity and resistivity is directly proportional to the temperature . Hence, if the temperature is increased then resistance is also increased

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