An unknown resistance R₁ is connected in series with a resistance of 10 . This combination is connected to one gap of a meter bridge, while a resistance R₂ is connected in the other gap. The balance point is at 50 ~cm . Now, when the 10 resistance is removed the balance point shifts to 40 ~cm . The value of R₁ (in ohm) is

Step-by-step solution

R₁ is connected with 10 resistance, According to question, a balanced point is obtained at 50 . Thus, R₁+10 R₂ = 50 50 R₂=R₁+10 When 10 is removed the balanced point shifts to 40 ~cm . Thus, R₁ R₂ = 40 60 R₂= 3 2 R₁ From Eqs. (i) and (ii), we get aligned & 3 2 R₁ &=R₁+10 & 1 2 R₁ &=10 & R₁ &=20 aligned