# In an electrical circuit, the voltage is measured as $${V}=(200\pm4)$$ volts and the current is measured as $${I}=(20\pm0.2)~\text A.$$ The value of the resistance is: 1. $$(10\pm4.2)~\Omega$$ 2. $$(10\pm0.3)~\Omega$$ 3. $$(10\pm0.1)~\Omega$$ 4. $$(10\pm0.8)~\Omega$$

Subtopic:  Derivation of Ohm's Law |
From NCERT
NEET - 2024
Hints

A uniform metal wire of length $$l$$ has $$10~\Omega$$ resistance. Now this wire is stretched to a length $$2l$$  and then bent to form a perfect circle. The equivalent resistance across any arbitrary diameter of that circle is:
 1 $$10~\Omega$$ 2 $$5~\Omega$$ 3 $$40~\Omega$$ 4 $$20~\Omega$$
Subtopic:  Current & Current Density |
From NCERT
NEET - 2024
Hints

The given circuit shows a uniform straight wire $$AB$$ of $$40 ~\text{cm}$$ length fixed at both ends. In order to get zero reading in the galvanometer $$G,$$ the free end of $$J$$ is to be placed from the end $$B$$ at:

1. $$32~\text{cm}$$
2. $$8~\text{cm}$$
3. $$16~\text{cm}$$
4. $$24~\text{cm}$$
Subtopic:  Wheatstone Bridge |
60%
From NCERT
NEET - 2024
Hints

The amplitude of the charge oscillating in a circuit decreases exponentially as $$\mathrm{Q=Q_{0}e}^{-Rt/2L}$$ where $${Q}_0$$ is the charge at $${t}=0~\text{s}.$$The time at which charge amplitude decreases to $$0.50~{Q}_0$$ is nearly:
$$(\text{Given that}~ {R=1.5~\Omega,~L=12~\text{mH},~\text{ln}(2)=0.693})$$
1. $$19.01~\text{ms}$$
2. $$11.09~\text{ms}$$
3. $$19.01~\text s$$
4. $$11.09~\text s$$
Subtopic:  RC Circuit (OLD NCERT) |
60%
From NCERT
NEET - 2024
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The steady-state current in the circuit shown below is:

1. $$0.67~\text A$$
2. $$1.5~\text A$$
3. $$2~\text A$$
4. $$1~\text A$$

Subtopic:  Derivation of Ohm's Law |
69%
From NCERT
NEET - 2024
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A uniform wire of diameter $$d$$ carries a current of $$100~\text{mA}$$ when the mean drift velocity of electrons in the wire is $$v.$$ For a wire of diameter $${\dfrac{d}{2}}$$ of the same material to carry a current of $$200~\text{mA},$$ the mean drift velocity of electrons in the wire is:
 1 $$4v$$ 2 $$8v$$ 3 $$v$$ 4 $$2v$$
Subtopic:  Current & Current Density |
65%
From NCERT
NEET - 2024
Hints

Arrange the following in the order of their resistance.
 A. ($$0$$ to $$1~\text A$$) ranged ammeter. B. ($$0$$ to $$100~\text {mA}$$) ranged milli-ammeter. C. ($$0$$ to $$500~\mu\text A$$) ranged micro-ammeter. D. ($$0$$ to $$100~\text V$$) ranged voltmeter.

Choose the correct answer from the options given below:
 1 A > B > C > D 2 D > C > B > A 3 D > A > B > C 4 C > B > A > D
Subtopic:  Derivation of Ohm's Law |
54%
From NCERT
NEET - 2024
Hints

There are two heaters $$A$$ and $$B.$$ Heater $$A$$ takes time $$t_1$$ to boil a given quantity of water, while $$B$$ takes time $$t_2$$ to boil the same quantity of water across same supply voltage. If the two heaters are connected in series, time taken by this combination to boil the same quantity of water will be:
 1 $$\large\dfrac{t_1t_2}{t_1+t_2}$$ 2 $$t_1+t_2$$ 3 $${\large\dfrac12}(t_1+t_2)$$ 4 $$\large\dfrac{t_1t_2}{2(t_1+t_2)}$$
Subtopic:  Heating Effects of Current |
58%
From NCERT
NEET - 2024
Hints

The value of $$R$$ in the given circuit when there is no current in the $$5 ~\Omega$$ resistor is:

 1 $$12~\Omega$$ 2 $$9~ \Omega$$ 3 $$3~ \Omega$$ 4 $$2~ \Omega$$
Subtopic:  Wheatstone Bridge |
81%
From NCERT
NEET - 2024
Hints

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