CUET · MATHS · PYQ PAPER 2024
\(P, Q, R\) and \(S\) are four wires of resistances \(3,3,3\) and \(4 \Omega\) respectively. They are connected to form the four arms of a wheatstone bridge circuit. The resistance with which S must be shunted in order that the bridge may be balanced is
- A \(14 \Omega\)
- B \(12 \Omega\)
- C \(15 \Omega\)
- D \(7 \Omega\)
Answer & Solution
Correct Answer
(B) \(12 \Omega\)
Step-by-step Solution
Detailed explanation
\(\frac{P}{Q} = \frac{R}{S'}\) \(\frac{3}{3} = \frac{3}{S'}\) \(S' = 3 \, \Omega\) \(S' = \frac{S \cdot X}{S+X}\) \(3 = \frac{4X}{4+X}\) \(12 + 3X = 4X\) \(X = 12 \, \Omega\)
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