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  • The length of copper wire increases by 0.01 m when loaded with 10 kg weight Another copper wire of the same length but double the radius is loaded with the same weight. The increase in length of th

The length of copper wire increases by 0.01 m when loaded with 10 kg weight Another copper wire of the same length but double the radius is loaded with the same weight. The increase in length of the second wire in metres will be
 

Option: 1

0.002


Option: 2

0.005


Option: 3

0.0025

 


Option: 4

0.01


Answers (1)

best_answer

Y= \frac{F\ell}{A(\Delta \ell)}\; \Delta \ell= \frac{FL}{AY}

L= \frac{(\Delta \ell)AY}{F}

L_{1}= L_{2}

\frac{\Delta \ell_{1}A_{1}Y}{F_{1}}= \frac{\Delta \ell_{2}A_{2}Y}{F_{2}}

\Delta \ell_{2}= \Delta \ell\left ( \frac{F_{2}}{F_{1}} \right )\left ( \frac{A_{1}}{A_{2}} \right )

           = 0.0025

 

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mansi

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