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
Please attempt this question first.
Hints
Please attempt this question first.
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. \(5\%\)
1. \(1\%\)
2. \(3\%\)
3. \(4\%\)
4. \(5\%\)
Subtopic: Errors |
56%
From NCERT
Please attempt this question first.
Hints
Please attempt this question first.
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
1. \(2 ~\text{NC}^{-1}\)
2. \(1~\text{NC}^{-1}\)
3. \(0.5~\text{NC}^{-1}\)
4. zero
Subtopic: Electric Field |
57%
From NCERT
Please attempt this question first.
Hints
Please attempt this question first.
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:
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
| 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 |
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 |
70%
From NCERT
Please attempt this question first.
Hints
Please attempt this question first.
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 |
64%
From NCERT
Please attempt this question first.
Hints
Please attempt this question first.
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. \(2~ \Omega\)
1. \(12~\Omega\)
2. \(9~ \Omega\)
3. \(3~ \Omega\)
4. \(2~ \Omega\)
Subtopic: Wheatstone Bridge |
60%
From NCERT
Please attempt this question first.
Hints
Please attempt this question first.
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. \(\sqrt{\frac{2T} {\pi \rho g}}\)
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
Please attempt this question first.
Hints
Please attempt this question first.
Match List-I with List-II (The symbols carry their usual meaning)
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
| 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 |
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 |
66%
From NCERT
Please attempt this question first.
Hints
Please attempt this question first.
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 | \(4\) |
| 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 |
71%
From NCERT
Please attempt this question first.
Hints
Please attempt this question first.
Match List-I with List-II
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
| 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. | \( R\left(\frac{1}{2^2}-\frac{1}{n^2}\right)\) |
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
Please attempt this question first.
Hints
Please attempt this question first.
© 2024 GoodEd Technologies Pvt. Ltd.