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A $6 Ω$ resistance is connected in the left gap of a meter bridge. In the second gap, $3 Ω$ and $6 Ω$ are joined in parallel. The balance point of the bridge is at __

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60 cm

25 cm

75 cm

30 cm

answer is A.

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Detailed Solution

Effective resistance of 3 $Ω$ and 6 $Ω$ in parallel will be $\frac{3 x 6}{3 + 6} = 2 Ω$

let the balancing length of 6 $Ω$ and 2 $Ω$ be l

$\frac{l}{100 - l} = \frac{6}{2} \Rightarrow l = 75 cm$

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