Consider two uncharged capacitors of equal capacitance \(200~\text{pF}.\) One of them is charged by a \(100~\text{V}\) supply and disconnected. Now this capacitor is connected to the uncharged capacitor. The amount of electrostatic energy lost in the process is:
1. \(1.0\times 10^{-6}~\text{J}\)
2. \(0.5\times 10^{-6}~\text{J}\)
3. \(0.5~\text{J}\)
4. \(1.0~\text{J}\)
1. \(1.0\times 10^{-6}~\text{J}\)
2. \(0.5\times 10^{-6}~\text{J}\)
3. \(0.5~\text{J}\)
4. \(1.0~\text{J}\)
Subtopic: Energy stored in Capacitor |
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Savitha, a XI standard student, while conducting an experiment to determine the effective length of a simple pendulum \(L,\) notes down the data of time taken to complete \(30\) oscillations as \(60\) s and hence calculates the length of the simple pendulum as:
(take \(\pi^2 = 9.8\) and \(g = 9.8 \text{ m/s}^2\))
1. \(2~\text{m}\)
2. \(0.75~\text{m}\)
3. \(1.5~\text{m}\)
4. \(1~\text{m}\)
(take \(\pi^2 = 9.8\) and \(g = 9.8 \text{ m/s}^2\))
1. \(2~\text{m}\)
2. \(0.75~\text{m}\)
3. \(1.5~\text{m}\)
4. \(1~\text{m}\)
Subtopic: Angular SHM |
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The peak value of an alternating current is \(5\) A and frequency is \(60\) Hz. How long will the current, starting from zero, take to reach the peak value?
1. \(\dfrac{1}{240} ~\text{s}\)
2. \(\dfrac{1}{30}~\text{s}\)
3. \(\dfrac{1}{120} ~\text{s}\)
4. \(\dfrac{1}{60} ~\text{s}\)
1. \(\dfrac{1}{240} ~\text{s}\)
2. \(\dfrac{1}{30}~\text{s}\)
3. \(\dfrac{1}{120} ~\text{s}\)
4. \(\dfrac{1}{60} ~\text{s}\)
Subtopic: RMS & Average Values |
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In interference and diffraction, the light energy is redistributed. It reduces in one region, producing a dark fringe; it increases in another region, producing a bright fringe.
Choose the correct answer from the options given below:
1. \((\mathrm{A})\) is True, but \((\mathrm{B})\) is False
2. \((\mathrm{A})\) is True and \((\mathrm{B})\) is also True
3. \((\mathrm{A})\) is False, but \((\mathrm{B})\) is True
4. Both \((\mathrm{A})\) and \((\mathrm{B})\) are False
| \((\mathrm{A})\) | As there is no gain or loss of energy, these phenomena are consistent with the principle of conservation of energy. |
| \((\mathrm{B})\) | Diffraction and interference are characteristics exhibited only by light waves. |
1. \((\mathrm{A})\) is True, but \((\mathrm{B})\) is False
2. \((\mathrm{A})\) is True and \((\mathrm{B})\) is also True
3. \((\mathrm{A})\) is False, but \((\mathrm{B})\) is True
4. Both \((\mathrm{A})\) and \((\mathrm{B})\) are False
Subtopic: Interference vs Diffraction |
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A box of mass \(15\) kg is kept on the floor of a stationary trolley. The coefficient of static friction between the box and the trolley is \(0.12\cdot\) Keeping the box in a stationary state over the trolley; the maximum acceleration with which the trolley can be moved horizontally in \(\text{ms}^{-2}\) is: (\(g=10\) \(\text{ms}^{-2}\))
1. \(1.5\)
2. \(1.8\)
3. \(2.1\)
4. \(1.2\)
1. \(1.5\)
2. \(1.8\)
3. \(2.1\)
4. \(1.2\)
Subtopic: Friction |
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The sum of kinetic energy and potential energy of a simple pendulum bob is \(0.02\) joules. The speed of the simple pendulum bob at equilibrium position is approximately:
(consider mass of the bob \(=20~\text{g}\))
1. \(1.41~\text{m/s }\)
2. \(14.1~\text{m/s }\)
3. \(0.2~\text{m/s }\)
4. \(2.0~\text{m/s }\)
(consider mass of the bob \(=20~\text{g}\))
1. \(1.41~\text{m/s }\)
2. \(14.1~\text{m/s }\)
3. \(0.2~\text{m/s }\)
4. \(2.0~\text{m/s }\)
Subtopic: Energy of SHM |
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Four statements are given (\(A\) is mass numbers):
Choose the correct answer from the options given below.
1. \((\mathrm{B})\) and \((\mathrm{D})\) are True but \((\mathrm{A})\) and \((\mathrm{C})\) are False
2. \((\mathrm{A})\) and \((\mathrm{D})\) are True, but \((\mathrm{B})\) and \((\mathrm{C})\) are False
3. \((\mathrm{A})\) and \((\mathrm{C})\) are True, but \((\mathrm{B})\) and \((\mathrm{D})\) are False
4. \((\mathrm{B})\) and \((\mathrm{C})\) are True but \((\mathrm{A})\) and \((\mathrm{D})\) are False
| \((\mathrm{A})\) | The volume of a nucleus is proportional to \(A^{1/3}.\) |
| \((\mathrm{B})\) | The volume of a nucleus is proportional to \(A.\) |
| \((\mathrm{C})\) | The difference in mass of an atom and its nucleus is called the mass defect. |
| \((\mathrm{D})\) | The difference in mass of a nucleus and its constituents is called the mass defect. |
1. \((\mathrm{B})\) and \((\mathrm{D})\) are True but \((\mathrm{A})\) and \((\mathrm{C})\) are False
2. \((\mathrm{A})\) and \((\mathrm{D})\) are True, but \((\mathrm{B})\) and \((\mathrm{C})\) are False
3. \((\mathrm{A})\) and \((\mathrm{C})\) are True, but \((\mathrm{B})\) and \((\mathrm{D})\) are False
4. \((\mathrm{B})\) and \((\mathrm{C})\) are True but \((\mathrm{A})\) and \((\mathrm{D})\) are False
Subtopic: Mass-Energy Equivalent |
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The angular speed of a flywheel is increased from \(600\) rpm to \(1200\) rpm in \(10\) s. The number of revolutions completed by the flywheel during this time is:
1. \(600\)
2. \(900\)
3. \(300\)
4. \(150\)
1. \(600\)
2. \(900\)
3. \(300\)
4. \(150\)
Subtopic: Rotational Motion: Kinematics |
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A submarine is designed to withstand an absolute pressure of \(100\) atm. How deep can it go below the water surface?
(consider the density of water\(=1000 ~\text{kg m}^{-3},\) \(1 ~\text{atm}=1\times 10^{5} ~\text{Pa}\) and gravitational acceleration \(g=10~\text{m/s}^2\))
1. \(9900~\text{m}\)
2. \(99~\text{m}\)
3. \(9000~\text{m}\)
4. \(990~\text{m}\)
(consider the density of water\(=1000 ~\text{kg m}^{-3},\) \(1 ~\text{atm}=1\times 10^{5} ~\text{Pa}\) and gravitational acceleration \(g=10~\text{m/s}^2\))
1. \(9900~\text{m}\)
2. \(99~\text{m}\)
3. \(9000~\text{m}\)
4. \(990~\text{m}\)
Subtopic: Pressure |
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Match List I with List II :
Choose the correct answer from the options given below:
1. A-III, B-I, C-II, D-IV
2. A-III, B-IV, C-I, D-II
3. A-IV, B-III, C-II, D-I
4. A-IV, B-I, C-II, D-III
| List I (Electromagnetic wave) |
List II (Production) |
||
| A. | Microwave | I. | Electrons in atoms emit light when they move from a higher energy level to a lower energy level |
| B. | Visible light | II. | Radioactive decay of nucleus |
| C. | Gamma rays | III | Vibration of atoms and molecules |
| D. | Infra-red rays | IV. | Klystron valve or magnetron valve |
1. A-III, B-I, C-II, D-IV
2. A-III, B-IV, C-I, D-II
3. A-IV, B-III, C-II, D-I
4. A-IV, B-I, C-II, D-III
Subtopic: Electromagnetic Spectrum |
Level 3: 35%-60%
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