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 )

Step-by-step solution

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