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  • Two wires of the same length and thickness having specific resisatnce cm and cm respectively are connected in parallel. The effectiv

Two wires of the same length and thickness having specific resisatnce 6 \Omegacm and 3 \Omegacm respectively are connected in parallel. The effective resistivity is \rho \Omegacm. The value of \rho, to the nearest integer is ________
Option: 1 4
Option: 2 7
Option: 3 8
Option: 4 2

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\begin{aligned} &\because \text { in parallel }\\ &R _{ net }=\frac{ R _{1} R _{2}}{ R _{1}+ R _{2}} \end{aligned}

\begin{array}{l} \frac{\rho \ell}{2 A }=\frac{\rho_{1} \frac{\ell}{ A } \times \rho_{2} \frac{\ell}{ A }}{\rho_{1} \frac{\ell}{ A }+\rho_{2} \frac{\ell}{ A }} \\ \\ \frac{\rho}{2}=\frac{6 \times 3}{6+3}=2 \\ \\ \rho=4 \end{array}
 

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Deependra Verma

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