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A resistance R is to be measured using a...

A resistance R is to be measured using a meter bridge. Student chooses the standard resistance to be `100 Omega`. He finds the null point at `I_(1) = 2.9` cm He is told to attempt to improve the accuracy Which of the following is a useful way ?

A

He should measure `I_(1)` more accurately.

B

He should change S to 1000 `Omega` and repeat the experiment .

C

He should change S to `3 Omega` and repeat the experiment .

D

He should give up hope of a more accurate measurement with a meter bridge.

Text Solution

Verified by Experts

He should change S to `3 Omega` and repeat the experiment .
To decrease percentage error in resistance R null point of meter bridge should be near the mid point for that value of S should be changed. For balance of bridge,
`(R)/(S) = (l_(1))/(100 - l_(1)) = (2.9)/(100 - 2.9) = (2.9)/(97.1) approx = 0.02987`
`therefore S = 100 xx 0.02987 = 2.987 Omega`
`therefore S approx 3 Omega`
so, option (C ) Is correct .
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