A wire of resistance 160 is melted and drawn in a wire of …

Physics Electrical Instruments Resistance Single Correct MCQ

Published on: September 13, 2026

A wire of resistance 160 is melted and drawn in a wire of one-fourth of its length. The new resistance of the wire will be

640

Text Solution

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The correct answer is:

The formula to calculate the resistance of the original wire is given by

...(i)

When the new wire is formed, its resistance is given by

...(ii)

Divide equation (ii) by equation (i) and simplify to obtain the expression for the new resistance.

...(iii)

Substitute the values of the known parameters into equation (iii) to calculate the required new resistance.

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