A resistance R is to be measured using a meter bridge. A student chooses the standard resistance S to be 100 . He finds the null point at l1 = 2.9 cm. He is told to attempt to improve accuracy. Which of the following is a useful way?
1. | He should measure l1 more accurately |
2. | He should change S to 1000 Ω and repeat the experiment |
3. | He should change S to 3 Ω and repeat the experiment |
4. | He should give up hope of more accurate measurement with a meter bridge |
(c) Hint: To reduce the error, the value of S should of the order of R.
Step 1:
The percentage error in R can be minimized by adjusting the balance point near the middle of the bridge, ie., when is close to 50 cm. This requires a suitable choice of S.
Step 2:
Since here, R: S=2.9: 97.1 implies that the S is nearly 33 times that of R. In order to
make this ratio 1:1, it is necessary to reduce the value of S nearly 1/33 times i.e., nearly 3.
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