SATHEE: Current Electricity 4 Question 1

Current Electricity 4 Question 1

1. In a meter bridge experiment, the circuit diagram and the corresponding observation table are shown in figure

(2019 Main, 10 April I)

S. No.	$R (Ω)$	$l (c m)$
1.	1000	60
2.	100	13
3.	10	1.5
4.	1	1.0

Which of the readings is inconsistent?

(a) 3

(b) 2

(d) 4

(a) the current $I$ through the battery is $7.5 m A$

(b) the potential difference across $R_{L}$ is $18 V$

(d) if $R_{1}$ and $R_{2}$ are interchanged, magnitude of the power dissipated in $R_{L}$ will decrease by a factor of 9

Fill in the Blank

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Solution:

Unknown resistance ’ $X$ ’ in meter bridge experiment is given by

$X = \frac{100 - l}{l} R$

Case (1) When $R = 1000 Ω$ and $l = 60 c m$ , then

$X = \frac{(100 - 60)}{60} \times 1000 = \frac{40 \times 1000}{60}$

$\Rightarrow X = \frac{2000}{3} Ω \approx 667 Ω$

Case (2) When $R = 100 Ω$ and $l = 13 c m$ , then

$\begin{aligned} X = \frac{100 - 13}{13} & \times 100 \\ = \frac{100 \times 87}{13} = \frac{8700}{13} Ω \approx 669 Ω \end{aligned}$

Case (3) When $R = 10 Ω$ and $l = 1.5 c m$ , then

$\begin{aligned} X & = \frac{100 - 1.5}{1.5} \times 10 \\ = \frac{98.5}{1.5} \times 10 = \frac{9850}{15} Ω \approx 656 Ω \end{aligned}$

Case (4) When $R = 1 Ω$ and $l = 1.0 c m$ , then

$\begin{aligned} X = \frac{100 - 1}{1} \times 1 \\ ∴ & X & = 99 Ω \end{aligned}$

Thus, from the above cases, it can be concluded that, value calculated in case (4) is inconsistent.

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Current Electricity 4 Question 1

1. In a meter bridge experiment, the circuit diagram and the corresponding observation table are shown in figure

Fill in the Blank

Solution:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

Current Electricity 4 Question 1

1. In a meter bridge experiment, the circuit diagram and the corresponding observation table are shown in figure

Fill in the Blank

Solution:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

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