Home Physics Current Electricity JEE Main 2023 A wire of resistance 160 is melted and draw…
Physics Current Electricity JEE Main 2023 MCQ (Single Correct)

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

A
16
B
10
C
640
D
40

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Text Solution

Verified by Experts
The correct answer is:
B

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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