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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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From NCERT
NEET - 2024
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