Current Electricity

JEE Main level, single correct, medium

301 of 380

Question 301 of 380

In a meter bridge as shown in the figure, it is given that resistance Y=12.5ΩY=12.5\Omega and that the balance is obtained at a distance 39.5cm39.5cm from end AA (by jockey JJ). After interchanging the resistances XX and YY a new balance point is found at a distance l2{l}_{2} from end AA. What are the values of XX (in Ω\Omega) and l2{l}_{2}?

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Answer: (B) 8.16Ω8.16\Omega and 60.5cm60.5cm

For a balanced meter bridge, (y)×​39.5=x×(100−39.5)(y)\times ​39.5=x\times \left(100-39.5\right),

x=12.5×39.560.5=8.16Ωx=\dfrac{12.5\times 39.5}{60.5}=8.16\Omega. When xandyxandy are interchanged l1{l}_{1} and (100−l1)(100-{l}_{1}) will also interchange, l2=60.5cm.{l}_{2}=60.5cm.

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