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`AB and CD` are two resistance wires cut from a uniform long wire. Lengths of `AB and CD` are `L and 2L` respectively and resistance of AB is R. The two resistances are connected in parallel to a supply. P and Q are two points on the resistance AB such that `AP = QB = (L)/(3)`. Two conductors `PS and QT` are connected between two resistors such that no current flows through both the conductors. A resistance R is connected between points M and N as shown. Neglect resistance of PS and QT. (a) find the equivalent resistance of the circuit between X and Y. (b) Will there be any current in resistance connected across MN ?

Answer» Correct Answer - (a) `(62 R)/(99)`
(b) Yes


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