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In a meter bridge as shown in the figure, it is given that resistance Y = 12.5 Ω and that the balance is obtained at a distance 39 . 5 cm from end A (by jockey J ). After interchanging the resistances X and Y a new balance point is found at a distance l 2 from end A . What are the values of X (in Ω ) and l 2 ?

Options

  1. A19 . 15   Ω and 39 . 5   cm
  2. B8 . 16   Ω and 60 . 5   cm
  3. C8 . 16   Ω and 39 . 5   cm
  4. D19 . 15   Ω and 60 . 5   cm

Correct answer

B. 8 . 16   Ω and 60 . 5   cm

Step-by-step solution

For a balanced meter bridge, ( y )×​ 39.5 = x × 100 - 39.5 , x = 12.5 × 39.5 60.5 = 8.16   Ω . When x  and  y are interchanged l 1 and ( 100 − l 1 ) will also interchange, l 2 = 60. 5   cm .

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