+2 votes
in JEE by kratos

A cylindrical resistor has length L and radius r. This piece of material is then drawn so that it is a cylinder with new length 2L. What happens to the resistance of this material because of this process?

(A) the resistance is quartered.

(B) the resistance is halved.

(C) the resistance is unchanged.

(D) the resistance is doubled.

(E) the resistance is quadrupled.

1 Answer

+4 votes
by kratos
 
Best answer

The correct option is: (E) the resistance is quadrupled.

Explanation:

Since the volume of material drawn into a new shape in unchanged, when the length is doubled, the area is halved. R = ρL/A.

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