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Two resistance X and Y are connected in the two gaps of a meterbridge and the null points is obtained at 20 ~cm from zero end. When the resistance of 20 is connected in series with the smaller of the two resistance X and Y , the null point shifts to 40 ~cm from left end. The value of smaller resistance in ohm is

Options

  1. A6
  2. B9
  3. C12
  4. D15

Correct answer

C. 12

Step-by-step solution

For a meterbridge, X Y = l 100-l In the first case, l=20 ~cm aligned X Y & = 20 100-20 = 20 80 = 1 4 4 X & = Y aligned In the second case, l^ =40 ~cm array ll & X ^ Y ^ = 40 100-40 = & But, X ^ = X +2 & X +20 Y = 2 3 & X +20 4 X = 2 3 & 8 X =3 X +60 & X =12 array

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