An ideal inductor-resistor-battery circuit is switched on at $$t=0~\text{s}$$. At time $$t$$, the current is $$i=i_0\left(1-e^{\left(-\frac{t}{\tau}\right)}\right)\text{A}$$, where $$i_0$$ is the steady-state value. The time at which the current becomes $$0.5i_0$$ is: [Given $$\text{ln}(2)= 0.693$$]
1. $$6.93 \times 10^3 ~\text{s}$$
2. $$6.93~\text{ms}$$
3. $$69.3~\text{s}$$
4. $$6.93~\text{s}$$

Subtopic:  LR circuit |
From NCERT
NEET - 2024
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The percentage errors in the measurement of mass and momentum of an object are $$1\%$$ and $$2\%$$ respectively. The percentage error in the measurement of kinetic energy of the object is:
1. $$1\%$$
2. $$3\%$$
3. $$4\%$$
4. $$5\%$$
Subtopic:  Errors |
61%
From NCERT
NEET - 2024
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Two identical rectangular plane sheet $$A$$ and $$B$$ each of surface charge density $$\varepsilon_0 \text{Cm}^{-2}$$ are placed parallel to each other as shown in figure. The electric field at the mid point $$P$$ will be:

1. $$2 ~\text{NC}^{-1}$$
2. $$1~\text{NC}^{-1}$$
3. $$0.5~\text{NC}^{-1}$$
4. zero
Subtopic:  Electric Field |
66%
From NCERT
NEET - 2024
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Match List-I with List-II:
 List-I (Application of Gauss Law) List-II (Value of $$|E|$$) A Field inside thin shell I $$\frac{\lambda}{2 \pi \varepsilon_0 r} \hat{n}$$ B Field outside thin shell II $$\frac{q}{4 \pi \varepsilon_0 R^2} \hat{r}$$ C Field of thin shell at the surface III $$\frac{q}{4 \pi \varepsilon_0 r^2} \hat{r}$$ D Field due to long charged wire IV zero
(Here symbols have their usual meaning and $$R$$ is the radius of the thin shell)
Choose the correct answer from the options given below:
1. A-IV,B-III, C-I,D-II
2. A-I, B-II, C-III, D-IV
3. A-IV,B-III, C-II, D-I
4. A-I, B-III, C-II, D-IV

Subtopic:  Gauss's Law |
71%
From NCERT
NEET - 2024
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In Young's double slit experiment, if the wavelength of light used is increased (say from violet to red) then the:
 1 fringe width decreases. 2 fringe width increases. 3 central bright fringe becomes dark. 4 fringe width remains unaltered.
Subtopic:  Young's Double Slit Experiment |
69%
From NCERT
NEET - 2024
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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 |
71%
From NCERT
NEET - 2024
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A wire of length $$L$$ and radius $$r(r<<L)$$ is kept floating on the surface of a liquid of density $$\rho$$. The maximum radius of the wire for which it may not sink is (Surface tension of liquid is $$T$$):
1. $$\sqrt { \frac{T}{\rho g}}$$
2. $$\sqrt { \frac{2T}{\rho g}}$$
3. $$\sqrt{\frac{2T\rho}{\pi g}}$$
4. $$\sqrt{\frac{2T} {\pi \rho g}}$$
Subtopic:  Surface Tension |
From NCERT
NEET - 2024
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Match List-I with List-II (The symbols carry their usual meaning)
 List I List II A $$\oint \vec{E} \cdot d \vec{A}=\frac{Q}{\varepsilon_0}$$ I Ampere-Maxwell's Law B $$\oint \vec{B} \cdot d \vec{A}=0$$ II Faraday's Law C $$\oint \vec{E} \cdot \overrightarrow{d I}=\frac{-d(\phi)}{d t}$$ III Gauss Law of electrostatics D $$\oint \vec{B} \cdot \overrightarrow{d l}=\mu_0 i_c+ \mu_0 \varepsilon_0 \frac{d\left(\phi_E\right)}{d t}$$ IV Gauss law of magnetism
Choose the correct answer from the options given below:
1. A-III, B-IV, C-II, D-I
2. A-IV, B-III, C-II, D-I
3. A-III, B-II,C-IV,D-I
4. A-IV, B-I,C-III, D-II

Subtopic:  Maxwell's Equations |
70%
From NCERT
NEET - 2024
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Match List- I with List- II.
 List-I (Measured values) List-II (Significant figures) A $$0.001213$$ I $$2$$ B $$2.1 \times 10^{16}$$ II $$3$$ C $$3.70$$ III $$1$$ D $$3000$$ IV $$4$$
Choose the correct answer from the options given below:
 1 A-III, B-II, C-I, D-IV 2 A-III, B-I, CII, D-IV 3 A-I, B-II, C-IV, D-III 4 A-IV, B-I, C-II, D-III
Subtopic:  Significant Figures |
80%
From NCERT
NEET - 2024
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Match List-I with List-II
 List-I    (Series) List-II (Wave number in cm-1) A. Balmer series I. $$R\left(\frac{1}{1^2}-\frac{1}{n^2}\right)$$ B. Lyman series II. $$R\left(\frac{1}{4^2}-\frac{1}{n^2}\right)$$ C. Brackett series III. $$R\left(\frac{1}{5^2}-\frac{1}{n^2}\right)$$ D. Pfund series IV. $$R\left(\frac{1}{2^2}-\frac{1}{n^2}\right)$$
Choose the correct answer from the options given below
1. A-I,B-IV,C-III,D-II
2. A-II, B-III, C-IV,D-I
3. A-IV, B-I, C-II, D-III
4. A-III, B-II, C-I,D-IV

Subtopic:  Spectral Series |
72%
From NCERT
NEET - 2024