JEE MAIN - Physics (2019 - 10th April Morning Slot - No. 17)
In a meter bridge experiment, the circuit
diagram and the corresponding observation
table are shown in figure
_10th_April_Morning_Slot_en_17_1.png)
Which of the readings is inconsistent?
| SI. No. | R($$\Omega $$) | l(cm) |
|---|---|---|
| 1. | 1000 | 60 |
| 2. | 100 | 13 |
| 3. | 10 | 1.5 |
| 4. | 1 | 1.0 |
4
3
2
1
Explanation
$$as\,x = {{R\left( {100 - l} \right)} \over l}$$
$$for\,(A)\,\,\,\,x = {{1000 \times \left( {100 - 60} \right)} \over {40}} \approx 667$$
$$for\,(B)\,\,\,\,\,x = {{100 \times \left( {100 - 13} \right)} \over {13}} \approx 669$$
$$for\,(C)\,\,\,\,\,x = {{10 \times \left( {100 - 1.5} \right)} \over {98.5}} \approx 667$$
$$for\,(D)\,\,\,\,\,x = {{1 \times \left( {100 - 1} \right)} \over 1} \approx 667$$
So reading in serial no. (4) is completely different hence correct answer (A).
$$for\,(A)\,\,\,\,x = {{1000 \times \left( {100 - 60} \right)} \over {40}} \approx 667$$
$$for\,(B)\,\,\,\,\,x = {{100 \times \left( {100 - 13} \right)} \over {13}} \approx 669$$
$$for\,(C)\,\,\,\,\,x = {{10 \times \left( {100 - 1.5} \right)} \over {98.5}} \approx 667$$
$$for\,(D)\,\,\,\,\,x = {{1 \times \left( {100 - 1} \right)} \over 1} \approx 667$$
So reading in serial no. (4) is completely different hence correct answer (A).
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