Home Physics Current Electricity Grouping of Resistances The following four wires are made of the sam…
Physics Current Electricity Grouping of Resistances MCQ (Single Correct)

The following four wires are made of the same material and are at the same temperature. Which one of them has highest electrical resistance

A
Length = 50 cm, diameter = 0.5 mm
B
Length = 100 cm, diameter = 1 mm
C
Length = 200 cm, diameter = 2 mm
D
Length = 300 cm, diameter = 3 mm

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Text Solution

Verified by Experts
The correct answer is:
A

As given that same tension is applied on the wires, for extension we use young's law equation i.e. , where is the young's modulus.
Now as we know that stress , where F is the force and A is the area. Then we know where r is the radius, also , where D is the diameter.

Thus, wire A has the largest extension.

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