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 |
63%
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 will be:
1. \(1\%\)
2. \(3\%\)
3. \(4\%\)
4. \(5\%\)
1. \(1\%\)
2. \(3\%\)
3. \(4\%\)
4. \(5\%\)
Subtopic: Errors |
69%
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 |
80%
From NCERT
NEET - 2024
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Match List-I with List-II:
(Here symbols have their usual meaning and \(R\) is the radius of the thin shell)
Choose the correct answer from the options given below:
| List-I (Application of Gauss Law) |
List-II (Value of \(|E|\)) |
||
| A. | The field inside a thin shell | I. | \( \dfrac{\lambda}{2 \pi \varepsilon_0 r} \hat{n} \) |
| B. | The field outside a thin shell | II. | \( \dfrac{q}{4 \pi \varepsilon_0 R^2} \hat{r} \) |
| C. | The field of thin shell at the surface | III. | \( \dfrac{q}{4 \pi \varepsilon_0 r^2} \hat{r}\) |
| D. | The field due to a long charged wire | IV. | zero |
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 |
87%
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 |
85%
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 |
87%
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. \(\sqrt { \dfrac{T}{\rho g}}\)
2. \(\sqrt { \dfrac{2T}{\rho g}}\)
3. \(\sqrt{\dfrac{2T\rho}{\pi g}}\)
4. \(\sqrt{\dfrac{2T} {\pi \rho g}}\)
1. \(\sqrt { \dfrac{T}{\rho g}}\)
2. \(\sqrt { \dfrac{2T}{\rho g}}\)
3. \(\sqrt{\dfrac{2T\rho}{\pi g}}\)
4. \(\sqrt{\dfrac{2T} {\pi \rho g}}\)
Subtopic: Surface Tension |
58%
From NCERT
NEET - 2024
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Match List-I with List-II (the symbols carry their usual meaning).
Choose the correct answer from the options given below:
| List-I | List-II | ||
| A. | \( \oint \vec{E} \cdot d \vec{A}=\dfrac{Q}{\varepsilon_0}\) | I. | Ampere-Maxwell's law |
| B. | \( \oint \vec{B} \cdot d \vec{A}=0 \) | II. | Faraday's law |
| C. | \( \oint \vec{E} \cdot d\vec{ l}=\dfrac{-d(\phi)}{d t} \) | III. | Gauss's law of electrostatics |
| D. | \( \oint \vec{B} \cdot d\vec{l}=\mu_0 i_c+ \mu_0 \varepsilon_0 \dfrac{d\left(\phi_E\right)}{d t}\) | IV. | Gauss's 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 |
84%
From NCERT
NEET - 2024
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Match List- I with List- II.
Choose the correct answer from the options given below:
| 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 |
87%
From NCERT
NEET - 2024
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Match List-I with List-II
Choose the correct answer from the options given below:
| List-I (Series) |
List-II (Wave number in \(\text{cm}^{–1}\)) |
||
| \(\mathrm{A}.\) | Balmer series | \(\mathrm{I}.\) | \( R\left(\dfrac{1}{1^2}-\dfrac{1}{n^2}\right) \) |
| \(\mathrm{B}.\) | Lyman series | \(\mathrm{II}.\) | \( R\left(\dfrac{1}{4^2}-\dfrac{1}{n^2}\right) \) |
| \(\mathrm{C}.\) | Brackett series | \(\mathrm{III}.\) | \( R\left(\dfrac{1}{5^2}-\dfrac{1}{n^2}\right) \) |
| \(\mathrm{D}.\) | Pfund series | \(\mathrm{IV}.\) | \( R\left(\dfrac{1}{2^2}-\dfrac{1}{n^2}\right)\) |
Choose the correct answer from the options given below:
| 1. | \(\mathrm{A-I, B-IV, C-III, D-II}\) |
| 2. | \(\mathrm{A-II, B-III, C-IV, D-I}\) |
| 3. | \(\mathrm{A-IV, B-I, C-II, D-III}\) |
| 4. | \(\mathrm{A-III, B-II, C-I, D-IV}\) |
Subtopic: Spectral Series |
88%
From NCERT
NEET - 2024
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