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Question

A resistance R is to be measured using a meter bridge. Student chooses the standard resistance S to be 100Ω. He finds the null point at l1=2.9cm. He is told to attempt to improve the accuracy. Which of the following is a useful way?

A
He should measure l1 more accurately
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B
He should change S to 1000Ω and repeat the experiment
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C
He should change S to 3Ω and repeat the experiment
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D
He should give up hope of a more accurate measurement with a meter bridge
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Solution

The correct option is C He should change S to 3Ω and repeat the experiment
Given:
1=2.9 cm,S=100 Ω

Step 1: When the metre bridge is balanced at length 1
11001=RS

2.91002.9=R100
R=2.98 Ω=3 Ω

Step 2: Improving the accuracy
To improve the accuracy in measurement, the null point should be found near the middle of the meter bridge wire, i.e. both the known and unknown resistance should be nearly equal.
RS=11
S=R=3 Ω
Therefore, the student should change S to 3 Ω and repeat the experiment.
Hence, Option(C) is correct.

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