Answer: Option (c) is the correct answer.
Explanation:
It is known that the relation between resistance, length and cross-sectional area is as follows.
R = [tex]\rho \frac{l}{A}[/tex]
Let the resistance of resistor A is denoted by R and the resistance of resistor B is denoted by R'.
Hence, for resistor A the expression for resistance according to the given data is as follows.
R = [tex]\rho \frac{2l}{2A}[/tex]
On cancelling the common terms we get the expression as follows.
R = [tex]\rho \frac{l}{A}[/tex]
Now, the resistance for resistor B is as follows.
R' = [tex]\rho \frac{l'}{A'}[/tex]
Thus, we can conclude that the statement, Wire A has the same resistance as wire B, accurately compares the resistances of wire resistors A and B.
