In a meter bridge, the null point is found at a distance of $25\, cm$ from $A$. If now a resistance of $10\,\Omega $ is connected in parallel with $S$, the null point occurs at mid point of $AB$. The value of $R$ is ................. $\Omega$
A$6.67$
B$1.67$
C$2.67$
D$4.67$
Medium
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A$6.67$
a
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A ring is made of a wire having a resistance $R_0 = 12 \,\,\Omega$. Find the points $A$ and $B,$ as shown in the figure, at which a current carrying conductor should be connected so that the resistance $R$ of the sub circuit between these points is equal to $\frac{8}{3}\,\Omega$.
The equivalent resistance between the points $P$ and $Q$ in the network given here is equal to ................ $\Omega$ (given $r = \frac{3}{2}\Omega $)
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