For two resistance wires joined in parallel, the resultant resistance is 
Ω Ω . when one of the resistance wires breaks the effective resistance becomes 2 Ω Ω . The resistance of the broken wire is
A
Ω Ω
B
2 Ω Ω
C
Ω Ω
D
3 Ω Ω
Text Solution
Verified by ExpertsThe correct answer is:
D
Let R 1 and R 2 be the resistances of two wires. In parallel combination,
= 
… (i)
If one of the wires breaks, then effective resistance becomes 2 Ω Ω , that is, R 1 = 2 Ω Ω
Substituting in Eq. (i), we have
= 
10R 2 = 12 + 6R 2
4R 2 = 12
∴ R 2 = 
= 3 Ω Ω
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