current-electricity Question 48

Question: Q. 1. 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=2.9 cm. He is told to attempt to improve the accuracy. Which of the following is a useful way?

(a) He should measure l1 more accurately.

(b) He should change S to 1000Ω and repeat the experiment.

(c) He should change S to 3Ω and repeat the experiment.

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

[NCERT Exemplar]

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Solution:

Ans. Correct option : (c)

Explanation : To calculate resistance, R

R=S[l1(100l1)] =100[2.997.1] =2.98Ω

So to get balance point near to 50 cm (middle) we have to take S=3Ω, as here R:S=2.9:97.1 implies that S is nearly 33 times to R. In order to make ratio R and S=1:1, we must take the resistance S=3Ω.



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