Question:
In a meter bridge experiment, the circuit diagram and the corresponding observation table are shown in figure
Sl. No. \(R\,(\Omega)\) \(l\,(\mathrm{cm})\) 1. 1000 60 2. 100 13 3. 10 1.5 4. 1 1.0
Which of the readings is inconsistent?
In a meter bridge experiment, the circuit diagram and the corresponding observation table are shown in figure
Which of the readings is inconsistent?
| Sl. No. | \(R\,(\Omega)\) | \(l\,(\mathrm{cm})\) |
| 1. | 1000 | 60 |
| 2. | 100 | 13 |
| 3. | 10 | 1.5 |
| 4. | 1 | 1.0 |
Show Hint
At balance \(R/X = l/(100-l)\), so \(X = R(100-l)/l\) must be the same for every reading; find the reading that gives a very different X.
Updated On: Nov 5, 2026
- 4
- 3
- 2
- 1
Show Solution
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The Correct Option is A
Solution and Explanation
For a meter bridge at balance, \(\dfrac{R}{X}=\dfrac{l}{100-l}\), so \(X=\dfrac{R(100-l)}{l}\). The unknown resistance X is fixed, so every reading must give the same X.
Reading 1: \(X=1000\times\dfrac{40}{60}\approx 667\,\Omega\)
Reading 2: \(X=100\times\dfrac{87}{13}\approx 669\,\Omega\)
Reading 3: \(X=10\times\dfrac{98.5}{1.5}\approx 657\,\Omega\)
Reading 4: \(X=1\times\dfrac{99}{1.0}=99\,\Omega\)
Readings 1, 2, 3 agree (about 660 \(\Omega\)), but reading 4 gives 99 \(\Omega\), so reading 4 is inconsistent.
Answer: (1) 4
Reading 1: \(X=1000\times\dfrac{40}{60}\approx 667\,\Omega\)
Reading 2: \(X=100\times\dfrac{87}{13}\approx 669\,\Omega\)
Reading 3: \(X=10\times\dfrac{98.5}{1.5}\approx 657\,\Omega\)
Reading 4: \(X=1\times\dfrac{99}{1.0}=99\,\Omega\)
Readings 1, 2, 3 agree (about 660 \(\Omega\)), but reading 4 gives 99 \(\Omega\), so reading 4 is inconsistent.
Answer: (1) 4
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