A wire of length $$'l'$$ and resistance $$100 ~\Omega$$ is divided into $$10$$ equal parts. The first $$5$$ parts are connected in series while the next $$5$$ parts are connected in parallel. The two combinations are again connected in series. The resistance of this final combination is:
 1 $$52~ \Omega$$ 2 $$55~ \Omega$$ 3 $$60 ~\Omega$$ 4 $$26~ \Omega$$
Subtopic:  Combination of Resistors |
65%
From NCERT
NEET - 2024
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The equivalent resistance $$R_{AB}$$ between points $$A$$ and $$B$$ in the given network is:

1. $$1R$$
2. $${\dfrac35}R$$
3. $${\dfrac78}R$$
4. $${\dfrac58}R$$
Subtopic:  Combination of Resistors |
72%
From NCERT
NEET - 2024
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$$10$$ resistors, each of resistance $$R$$ are connected in series to a battery of $$E$$ and negligible internal resistance. Then those are connected in parallel to the same battery, the current is increased $$n$$ times. The value of $$n$$ is:
 1 $$1000$$ 2 $$10$$ 3 $$100$$ 4 $$1$$
Subtopic:  Combination of Resistors |
66%
From NCERT
NEET - 2023
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A network of resistors is connected across a $$10~\text{V}$$ battery with an internal resistance of $$1~\Omega$$ as shown in the circuit diagram. The equivalent resistance of the circuit is:

 1 $$\dfrac{17}{3}~\Omega$$ 2 $$\dfrac{14}{3}~\Omega$$ 3 $$\dfrac{12}{7}~\Omega$$ 4 $$\dfrac{14}{7}~\Omega$$
Subtopic:  Combination of Resistors |
73%
From NCERT
NEET - 2022
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The equivalent resistance of the infinite network given below is:

1. $$2~\Omega$$
2. $$(1+\sqrt2)~\Omega$$
3. $$(1+\sqrt3)~\Omega$$
4. $$(1+\sqrt5)~\Omega$$
Subtopic:  Combination of Resistors |
53%
From NCERT
NEET - 2022
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The effective resistance of a parallel connection that consists of four wires of equal length, equal area of cross-section, and same material is $$0.25~\Omega$$. What will be the effective resistance if they are connected in series?
1. $$1~\Omega$$
2. $$4~\Omega$$
3. $$0.25~\Omega$$
4. $$0.5~\Omega$$

Subtopic:  Combination of Resistors |
70%
From NCERT
NEET - 2021
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The equivalent resistance between $$A$$ and $$B$$ for the mesh shown in the figure is:

 1 $$7.2$$  $$\Omega$$ 2 $$16$$  $$\Omega$$ 3 $$30$$  $$\Omega$$ 4 $$4.8$$  $$\Omega$$
Subtopic:  Combination of Resistors |
87%
From NCERT
NEET - 2020
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The resistance of a wire is $$R~\Omega$$. If it is melted and stretched $$n$$ times its original length, its new resistance will be:
1. $$\frac{R}{n}$$
2. $$n^{2}R$$
3. $$\frac{R}{n^{2}}$$
4. $$nR$$
Subtopic:  Combination of Resistors |
78%
From NCERT
NEET - 2017
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A ring is made of a wire having a resistance of $$R_0=12~\Omega.$$. Find points $$\mathrm{A}$$ and $$\mathrm{B}$$, as shown in the figure, at which a current-carrying conductor should be connected so that the resistance $$R$$ of the subcircuit between these points equals $$\frac{8}{3}~\Omega$$$\mathrm{?}$

 1 $$\dfrac{l_1}{l_2} = \dfrac{5}{8}$$ 2 $$\dfrac{l_1}{l_2} = \dfrac{1}{3}$$ 3 $$\dfrac{l_1}{l_2} = \dfrac{3}{8}$$ 4 $$\dfrac{l_1}{l_2} = \dfrac{1}{2}$$
Subtopic:  Combination of Resistors |
52%
From NCERT
AIPMT - 2012
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A wire of resistance $$12~ \Omega \text{m}^{-1}$$${}^{}$ is bent to form a complete circle of radius $$10~\text{cm}$$. The resistance between its two diametrically opposite points, $$A$$ and $$B$$ as shown in the figure, is:

 1 $$0.6\pi~\Omega$$ 2 $$3\pi ~\Omega$$ 3 $$61 \pi~ \Omega$$ 4 $$6\pi~\Omega$$
Subtopic:  Combination of Resistors |
65%
From NCERT
AIPMT - 2009
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