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 |
60%
Level 2: 60%+
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. | \(5\%\) |
Subtopic: Errors |
67%
Level 2: 60%+
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 |
79%
Level 2: 60%+
NEET - 2024
Hints
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 |
83%
Level 1: 80%+
NEET - 2024
Hints
A wire of length \(L\) and radius \(r(r\ll L)\) 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:
(the surface tension of liquid is \(T\))
(the 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. | \(\sqrt{\dfrac{2T} {\pi \rho g}}\) |
Subtopic: Surface Tension |
61%
Level 2: 60%+
NEET - 2024
Hints
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 |
| 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 |
83%
Level 1: 80%+
NEET - 2024
Hints
Match List-I (Spectral Series) with List-II (corresponding wave number expressions).
Choose the correct answer from the options given below:
| List-I (Series) |
List-II (Wave number in \(\text{cm}^{–1}\)) |
||
| A. | Balmer series | I. | \( R\left(\dfrac{1}{1^2}-\dfrac{1}{n^2}\right) \) |
| B. | Lyman series | II. | \( R\left(\dfrac{1}{4^2}-\dfrac{1}{n^2}\right) \) |
| C. | Brackett series | III. | \( R\left(\dfrac{1}{5^2}-\dfrac{1}{n^2}\right) \) |
| D. | Pfund series | IV. | \( R\left(\dfrac{1}{2^2}-\dfrac{1}{n^2}\right)\) |
| 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 |
87%
Level 1: 80%+
NEET - 2024
Hints
A conducting circular loop of face area \(2.5 \times 10^{-3}~\text{m}^2\) is placed perpendicular to a magnetic field which varies as \(B=0.5~\text{sin}(100 \pi t)~\text{T}\). The magnitude of induced EMF at time \(t= 0~\text{s}\) is:
1. \(0.125 \pi~ \text{mV}\)
2. \(125 \pi ~\text{mV}\)
3. \(125 \pi~\text{V}\)
4. \(12.5 \pi~\text{mV}\)
1. \(0.125 \pi~ \text{mV}\)
2. \(125 \pi ~\text{mV}\)
3. \(125 \pi~\text{V}\)
4. \(12.5 \pi~\text{mV}\)
Subtopic: Faraday's Law & Lenz Law |
67%
Level 2: 60%+
NEET - 2024
Hints
The pressure experienced by a swimmer \(20~\text{m}\) below the water surface in a lake is appropriately:
(Given density of water = \(10^3 ~\text{kgm}^{-3},~ g=10 ~\text{ms}^{-2} \) and \(1~\text{atm} = 10^5~\text{Pa}\))
(Given density of water = \(10^3 ~\text{kgm}^{-3},~ g=10 ~\text{ms}^{-2} \) and \(1~\text{atm} = 10^5~\text{Pa}\))
| 1. | \(1~\text{atm}\) | 2. | \(2~\text{atm}\) |
| 3. | \(3~\text{atm}\) | 4. | \(4~\text{atm}\) |
Subtopic: Pressure |
69%
Level 2: 60%+
NEET - 2024
Hints
A vernier calipers has \(1~\text{mm}\) marks on the main scale. It has \(20\) equal divisions on the vernier scale which match with \(16\) main scale divisions. The least count of this vernier calipers is:
| 1. | \(0.02~\text{mm}\) | 2. | \(0.05~\text{mm}\) |
| 3. | \(0.10~\text{mm}\) | 4. | \(0.20~\text{mm}\) |
Subtopic: Measurement & Measuring Devices |
70%
Level 2: 60%+
NEET - 2024
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