JEE MAIN - Physics (2003 - No. 8)

The length of a given cylindrical wire is increased by $$100\% $$. Due to the consequent decrease in diameter the change in the resistance of the wire will be
$$200\% $$
$$100\% $$
$$50\% $$
$$300\% $$

Explanation

$${R_f} = {n^2}{R_1}$$

Here $$n=2$$ (length becomes twice)

$$\therefore$$ $${R_f} = 4{R_i}$$

New resistance $$=400$$ of $${R_i}$$

$$\therefore$$ Increase $$ = 300\% $$

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