TS EAMCET · Physics · Current Electricity

In a meter bridge the balancing length from the left end is found to be \(25 \mathrm{~cm}\). The value of the unknown resistance is (assume, standard resistance of \(1 \Omega\) is in the right gap)

A \(0.25 \Omega\)
B \(0.33 \Omega\)
C \(0.20 \Omega\)
D \(0.50 \Omega\)

Verified Solution

Answer & Solution

Correct Answer

(B) \(0.33 \Omega\)

Step-by-step Solution

Detailed explanation

According to given situation, circuit diagram of meter bridge is given as At balance condition of meter bridge, \(\frac{S}{R}=\frac{25}{(100-25)} \Rightarrow \frac{S}{1}=\frac{25}{75} \Rightarrow S=\frac{1}{3} \Omega=0.33 \Omega\)

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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