JEE PYQ: Current Electricity Question 48
Question 48 - 2019 (10 Apr 2019 Shift 1)
In a meter bridge experiment, the circuit diagram and the corresponding observation table are shown in figure.
| Sl.No. | R | l (cm) |
|---|---|---|
| 1 | 1000 | 60 |
| 2 | 100 | 13 |
| 3 | 10 | 1.5 |
| 4 | 1 | 1.0 |
Which of the reading is consistent?
(1) 3
(2) 2
(3) 4
(4) 1
Show Answer
Answer: (3)
Solution
For a balanced bridge: $X = \frac{R(100-l)}{l}$. For observation (1): $X = \frac{1000 \times 40}{60} = \frac{2000}{3},\Omega$. For (2): $X = \frac{100 \times 87}{13} = \frac{8700}{13},\Omega$. For (3): $X = \frac{10 \times 98.5}{1.5} = \frac{1970}{3},\Omega$. For (4): $X = \frac{1 \times 99}{1} = 99,\Omega$. Observation (4) is inconsistent.