In a meter bridge experiment, resistances are connected as shown in figure. The balancing length $l_{1} = 55 c m$ . Now, an unknown resistance $x$ is connected in series with $P$ and the new balancing length is found to be $75 c m$ . What is the value of The value of $11x$ (in ohm)?(Given, $P = 4 Ω$ )

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Given in the meter bridge, In I st case, P Q = l 1 l 2 ⇒ 4 Q = 55 100 - 55 ⇒ Q = 4 × 45 55 ...(i) In 2 nd case, P + x Q = 75 25 ⇒ 4 + x 3 = Q ...(ii) From Equations (i) and (ii), we get 4 + x 3 = 36 11 4 + x = 108 11 x = 108 − 44 11 = 64 11 ⇒ 11 x = 64

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