In a meter bridge experiment. a resistance of 9 is connected in the left gap and an unknown resistance greater than 9 is connected in the right gap. If the resistance in the gaps are interchanged, the balancing point shifts by 10 cm . The unknown resistance is

Step-by-step solution

In meter bridge experiment, 9 x = 1 100-1 ...(i) Again, x 9 = 1+10 100-(1+10) = 1+10 90-1 ...(ii) Multiplying eq(i) and (ii), we get aligned & 1(1+10) (100-1)(90-1) =1 1^2+10 =9000-1901+1^2 & 1=45 ~cm & From eq(i) & 9 x = 45 55 x=11 aligned