Two unknown resistances X and  Y are connected in the left and right gaps of a meter bridge and the balancing point is obtained at 60 cm from the left. When a 20 Ω resistance is connected in parallel to X  the balance point is 50 cm. Calculate X and Y (in ohm)

Two unknown resistances X and  Y are connected in the left and right gaps of a meter bridge and the balancing point is obtained at 60 cm from the left. When a 20Ω resistance is connected in parallel to X  the balance point is 50 cm. Calculate X and Y (in ohm)

  1. A

    10,203

  2. B

    103,20

  3. C

    10, 20

  4. D

    20, 30

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    Solution:

    Resistance R = X Resistance  S = Y Balancing length l=60cm Balancing length l=50cm Balancing condition for meter bridge RS=l100lXY=604032 ...(1) 

    When a 20 Ω resistance is connected in parallel to X 
    XY=l100l20X20+XY=505012020+X32=130=20+XX=10ΩY=203Ω

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