A) 250\[\Omega \]
B) 10\[\Omega \]
C) 16.7\[\Omega \]
D) None of the above
Correct Answer: C
Solution :
| Option [c] is correct. |
| Explanation: Say, the unknown resistance = X |
| Case 1: 10/X=\[{{\operatorname{L}}_{1}}\]/(200-4) |
| Or, x\[{{\operatorname{L}}_{1}}\] = 2000 - 10\[{{\operatorname{L}}_{1}}\] ...(i) |
| Case 2: X/10 = (\[{{\operatorname{L}}_{1}}\] + 50) / (150 - \[{{\operatorname{L}}_{1}}\]) |
| Or, x\[{{\operatorname{L}}_{1}}\] = 150X - 10\[{{\operatorname{L}}_{1}}\] - 500 ...(ii) |
| Comparing equation (i) and (ii) |
| X = 2500/150 = 16.7 \[\Omega \] |
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