Q.

Two wires of same length and thickness having specific resistances  6Ω cm and  3Ω cm respectively are connected in parallel. The effective resistivity is  ρ Ω cm. The  ρ to the nearest integer, is______

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answer is 4.

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Detailed Solution

Specific Resistance is called resistivity.If length of each resistance is ‘l ’ then R1=6lA  and  R2=3lA. Equivalent resistance in parallel combination is, R=R1R2R1+R2 ⇒ρl2A=6lA3lA6lA+3lA ⇒ρ2=2 ⇒ρ=4Ωcm
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