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  • A wire of resistance is drawn out so that its length is increased by twice of its origina

A wire of resistance \mathrm{R_{1}} is drawn out so that its length is increased by twice of its original length. The ratio of new resistance to original resistance is:

Option: 1

9:1


Option: 2

1:9


Option: 3

4:1


Option: 4

3:1


Answers (1)

best_answer

For stretaching of wire

\mathrm{R\: \alpha\: \ell^{2}}

\mathrm{\frac{R_{New}}{R_{original}}=\frac{\ell^{2}_{new}}{\ell^{2}_{original}}}

\mathrm{\ell_{new}=3\ell_{original}\left ( Given \right )}

\mathrm{\frac{R_{new}}{R_{original}}=\frac{9}{1}}

Hence 1 is correct option.

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