A piece of nichrome wire of uniform circular cross-section has length 2 m and resistance 5 Ω at room temperature. The wire is uniformly stretched so that its length becomes exactly double while its volume remains unchanged.
a. (i) State the mathematical relation connecting the resistance of a uniform wire with its length and cross-sectional area.
b. (ii) Calculate the new resistance of the stretched wire.
c. (iii) Determine the percentage change in resistance produced by the stretching.