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If a wire of uniform cross section is stretched such that ,its length is increased by 2%,50%then the %change in its resistance is___ 1)4%,100% 2)1%,25% 3)4%,125% 4)4%,50% If a wire of uniform cross section is stretched such that ,its length is increased by 2%,50%then the %change in its resistance is___1)4%,100%2)1%,25%3)4%,125%4)4%,50%
As nothing has been mentioned about area x length = constant we will follow the conventionas:Resistance is directly proprtional to square of length of Resistance wire.Thus R = kl^2.........................(1)After stretching,l becomes = >0.02l + l = 1.02lTherforeR’ = k(1.02l)^2.....................(2)Divide the eqns. (1) and (2)R/R’ = 1/(1.02)^2 Simlarly do it for 50%.
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