The figure shows a meter bridge circuit, X = 12 Ω and R = 18 Ω. The jockey J is in the position of balance. If R is made 8Ω, through what distance will the jockey J have to be moved to obtain balance?
Correct answer: B. 20cm
- A. 10cm
- B. 20cm
- C. 30cm
- D. 40cm
Explanation
X=12ΩInitial R=18 ΩNew R=8Meter bridge length = 100 cmLet the distance AJ be y1 before shifting and y2 after shifting.Before shifting: 12/y₁ = 18/100 - y₁ => y₁ = 40cmAfter shifting: 12/y₂ = 8/100 - y₂ => y₂ = 60 cmTherefore distance moved = 60-40 = 20 cmHence, this option is correct.
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