Experimental Physics

JEE Main level, single correct, medium

49 of 70

Question 49 of 70

In a meter bridge experiment, the circuit diagram and the corresponding observation table are shown in figure.
S. No. R(Ω)R\left(\Omega \right) l(cm)l\left(cm\right)
1.

2.

3.

4.

10001000
100100
1010
11
6060
1313
1.51.5
1.01.0
Which of the reading is inconsistent?

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Answer: (D) 44

For meter bridge: Rl=X100−l\dfrac{R}{l}=\dfrac{X}{100-l}
1→100060=X40⇒X=20003=666.67Ω1\rightarrow \dfrac{1000}{60}=\dfrac{X}{40}\Rightarrow X=\dfrac{2000}{3}=666.67 \Omega
2→10013=X27⇒X=669.23Ω2\rightarrow \dfrac{100}{13}=\dfrac{X}{27}\Rightarrow X=669.23 \Omega
3→101.5=X98.5⇒X=656.67Ω3\rightarrow \dfrac{10}{1.5}=\dfrac{X}{98.5}\Rightarrow X=656.67 \Omega
4→11=X99⇒X=99Ω4\rightarrow \dfrac{1}{1}=\dfrac{X}{99}\Rightarrow X=99 \Omega
Resistance calculated by using data from 4th observation is most inconsistent.

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