A \(100\text-\)turn closely wound circular coil of radius \(5~\text{cm}\) has a magnetic field of \(3.14 \times 10^{-3}~\text{T}\) at its centre. The current flowing through the coil, and the magnitude of the magnetic moment of this coil are, respectively:
(take \(\mu_0 = 4\pi \times 10^{-7}~\text{T-m/A}\))
1. \(2.5~\text{A}, 2~\text{A-m}^2\)
2. \(2.5~\text{A}, 20~\text{A-m}^2\)
3. \(2~\text{A},4~\text{A-m}^2\)
4. \(2~\text{A}, 10~\text{A-m}^2\)
(take \(\mu_0 = 4\pi \times 10^{-7}~\text{T-m/A}\))
1. \(2.5~\text{A}, 2~\text{A-m}^2\)
2. \(2.5~\text{A}, 20~\text{A-m}^2\)
3. \(2~\text{A},4~\text{A-m}^2\)
4. \(2~\text{A}, 10~\text{A-m}^2\)
Subtopic: Magnetic Moment |
63%
Level 2: 60%+
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Match List-I with List-II:
Choose the correct answer from the options given below:
1. \(\mathrm{A\text-IV, B\text-III, C\text-I, D\text-II}\)
2. \(\mathrm{A\text-I, B\text-IV, C\text-III, D\text-II}\)
3. \(\mathrm{A\text-IV, B\text-I, C\text-II, D\text-III}\)
4. \(\mathrm{A\text-IV, B\text-III, C\text-II, D\text-I}\)
| List-I | List-II | ||
| \(\mathrm{(A)}\) | \(E = h\nu\) | \(\mathrm{(I)}\) | de-Broglie wavelength |
| \(\mathrm{(B)}\) | Diffraction and Interference | \(\mathrm{(II)}\) | Particle nature of light |
| \(\mathrm{(C)}\) | \(\lambda = h/p\) | \(\mathrm{(III)}\) | Wave nature of light |
| \(\mathrm{(D)}\) | Compton effect | \(\mathrm{(IV)}\) | Energy of photon |
1. \(\mathrm{A\text-IV, B\text-III, C\text-I, D\text-II}\)
2. \(\mathrm{A\text-I, B\text-IV, C\text-III, D\text-II}\)
3. \(\mathrm{A\text-IV, B\text-I, C\text-II, D\text-III}\)
4. \(\mathrm{A\text-IV, B\text-III, C\text-II, D\text-I}\)
Subtopic: Particle Nature of Light |
84%
Level 1: 80%+
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The current \(I\) in the circuit shown below is:
(All diodes are ideal and identical.)
1. \(\dfrac{5}{3}~\text{A}\)
2. \(\dfrac{15}{2} ~\text{A}\)
3. \(\dfrac{1}{3} ~\text{A}\)
4. \(\dfrac{5}{9} ~\text{A}\)
(All diodes are ideal and identical.)
1. \(\dfrac{5}{3}~\text{A}\)
2. \(\dfrac{15}{2} ~\text{A}\)
3. \(\dfrac{1}{3} ~\text{A}\)
4. \(\dfrac{5}{9} ~\text{A}\)
Subtopic: PN junction |
79%
Level 2: 60%+
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The speed of light in vacuum is taken as unity. If light takes \(6\) min \(40\) s to reach the Earth from the Sun, the distance between the Sun and the Earth in a new unit is:
1. \(3 \times 10^8\)
2. \(3 \times 10^{10}\)
3. \(400\)
4. \(500\)
1. \(3 \times 10^8\)
2. \(3 \times 10^{10}\)
3. \(400\)
4. \(500\)
Subtopic: Dimensions |
77%
Level 2: 60%+
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The following plots show variation of velocity \((v)\) with time \((t)\), of a ball thrown vertically upward and falling back. Which of the following plots is/are correct?
1. \((\mathrm{C})\) only
2. \((\mathrm{A})\) and \((\mathrm{E})\) only
3. \((\mathrm{D})\) only
4. \((\mathrm{B})\) only
| \((\mathrm{A})\) |  |
\((\mathrm{B})\) |  |
| \((\mathrm{C})\) |  |
\((\mathrm{D})\) |  |
| \((\mathrm{E})\) |  |
||
1. \((\mathrm{C})\) only
2. \((\mathrm{A})\) and \((\mathrm{E})\) only
3. \((\mathrm{D})\) only
4. \((\mathrm{B})\) only
Subtopic: Uniformly Accelerated Motion |
54%
Level 3: 35%-60%
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In a vernier callipers, \(20\) VSD coincides with \(16\) MSD (each division of length \(1\) mm). The least count of the vernier callipers is:
1. \(0.01\) cm
2. \(0.1\) cm
3. \(0.02\) cm
4. \(0.2\) cm
1. \(0.01\) cm
2. \(0.1\) cm
3. \(0.02\) cm
4. \(0.2\) cm
Subtopic: Measurement & Measuring Devices |
77%
Level 2: 60%+
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An AC circuit contains a resistance of \(1~\text{k}\Omega,\) a capacitor of \(0.1~\mu \text{F}\) and an inductor of \(1~\text{mH}\) connected in series. The resonance frequency of the circuit is approximately the following:
1. \(10.1\) kHz
2. \(20.7\) kHz
3. \(15.9\) kHz
4. \(13.5\) kHz
1. \(10.1\) kHz
2. \(20.7\) kHz
3. \(15.9\) kHz
4. \(13.5\) kHz
Subtopic: Different Types of AC Circuits |
67%
Level 2: 60%+
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The figure given below shows a long, straight, solid wire of circular cross-section of radius \(a\) carrying a steady current \(I.\) The current \(I\) is uniformly distributed across its cross-section. The plot which correctly represents the variation of the magnetic field \((B)\) with distance \((r)\) from the axis of the conductor in the region is:
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Ampere Circuital Law |
68%
Level 2: 60%+
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A uniform metallic wire having resistance \(4~\Omega\) is bent to form a square loop \((ABCD)\) (see figure). A resistance of \(2~\Omega\) is connected between points \(B\) and \(D\) and a battery of \(2~\text{V}\) is connected across points \(A\) and \(C\) as shown in the figure. Now the value of the current \((I)\) is:
1. \(2~\text{A}\)
2. \(4~\text{A}\)
3. \(8~\text{A}\)
4. \(4.5~\text{A}\)
1. \(2~\text{A}\)
2. \(4~\text{A}\)
3. \(8~\text{A}\)
4. \(4.5~\text{A}\)
Subtopic: Wheatstone Bridge |
73%
Level 2: 60%+
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An unknown nucleus has a nuclear density of \(2.29 \times 10^{17} ~\text{kg/m}^3\) and mass of \(19.926 \times 10^{-27} \text{ kg}\). Its mass number \(A\) is approximately:
(take \(R_0 = 1.2 \times 10^{-15} \text{ m}\), \(4\pi = 12.56\))
1. \(12\)
2. \(19\)
3. \(20\)
4. \(16\)
(take \(R_0 = 1.2 \times 10^{-15} \text{ m}\), \(4\pi = 12.56\))
1. \(12\)
2. \(19\)
3. \(20\)
4. \(16\)
Subtopic: Nucleus |
Level 3: 35%-60%
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