A tightly wound \(100\) turns coil of radius \(10~\text{cm}\) carries a current of \(7~\text A\). The magnitude of the magnetic field at the centre of the coil is: (Take permeability of free space as \(4 \pi \times 10^{-7}\)SI units):
1. \(4.4~\text T\)
2. \(4.4~\text {mT}\)
3. \(44~\text T\)
4. \(44~\text {mT}\)
1. \(4.4~\text T\)
2. \(4.4~\text {mT}\)
3. \(44~\text T\)
4. \(44~\text {mT}\)
Subtopic: Magnetic Field due to various cases |
70%
Level 2: 60%+
NEET - 2024
Hints
The moment of inertia of a thin rod about an axis passing through its mid-point and perpendicular to the rod is \(2400 ~\text{g cm}^2.\) The length of the \(400~\text{g}\) rod is nearly:
1. \(17.5~\text{cm}\)
2. \(20.7~\text{cm}\)
3. \(72.0~\text{cm}\)
4. \(8.5~\text{cm}\)
1. \(17.5~\text{cm}\)
2. \(20.7~\text{cm}\)
3. \(72.0~\text{cm}\)
4. \(8.5~\text{cm}\)
Subtopic: Moment of Inertia |
62%
Level 2: 60%+
NEET - 2024
Hints
A bob is whirled in a horizontal plane by means of a string with an initial speed of \(\omega\) rpm. The tension in the string is \(T\). If speed becomes \(2\omega\) while keeping the same radius, the tension in the string becomes:
| 1. | \(4 T\) | 2. | \(\dfrac{T}{4}\) |
| 3. | \(\sqrt{2} T\) | 4. | \(T\) |
Subtopic: Uniform Circular Motion |
65%
Level 2: 60%+
NEET - 2024
Hints
Match List-I with List-II.
Choose the correct answer from the options given below:
| List-I Material |
List-II Susceptibility \((\chi)\) |
||
| \(\mathrm{(A)}\) | Diamagnetic | \(\mathrm{(I)}\) | \(\chi=0\) |
| \(\mathrm{(B)}\) | Ferromagnetic | \(\mathrm{(II)}\) | \(0>\chi\geq-1\) |
| \(\mathrm{(C)}\) | Paramagnetic | \(\mathrm{(III)}\) | \(\chi\gg1\) |
| \(\mathrm{(D)}\) | Non-magnetic | \(\mathrm{(IV)}\) | \(0<\chi<\varepsilon\) (a small positive number) |
| 1. | \(\text{A-II, B-I, C-III, D-IV}\) | 2. | \(\text{A-III, B-II, C-I, D-IV}\) |
| 3. | \(\text{A-IV, B-III, C-II, D-I}\) | 4. | \(\text{A-II, B-III, C-IV, D-I}\) |
Subtopic: Magnetic Materials |
67%
Level 2: 60%+
NEET - 2024
Hints
In the following circuit, the equivalent capacitance between terminal \(A\) and terminal \(B\) is:
| 1. | \(1~\mu\text F\) | 2. | \(0.5~\mu\text F\) |
| 3. | \(4~\mu\text F\) | 4. | \(2~\mu\text F\) |
Subtopic: Combination of Capacitors |
68%
Level 2: 60%+
NEET - 2024
Hints
A horizontal force \(10~\text N\) is applied to a block \(A\) as shown in figure. The mass of blocks \(A\) and \(B\) are \(2~\text{kg}\) and \(3~\text{kg}\), respectively. The blocks slide over a frictionless surface. The force exerted by block \(A\) on block \(B\) is :
1. \(4~\text N\)
2. \(6~\text N\)
3. \(10~\text N\)
4. zero
1. \(4~\text N\)
2. \(6~\text N\)
3. \(10~\text N\)
4. zero
Subtopic: Application of Laws |
69%
Level 2: 60%+
NEET - 2024
Hints
\({ }_{82}^{290} X \xrightarrow{\alpha} Y \xrightarrow{e^{+}} Z \xrightarrow{\beta^{-}} P \xrightarrow{e^{-}} Q\)
In the nuclear emission stated above, the mass number and atomic number of the product \(Q\) respectively, are:
1. \(286,80\)
2. \(288,82\)
3. \(286,81\)
4. \(280,81\)
In the nuclear emission stated above, the mass number and atomic number of the product \(Q\) respectively, are:
1. \(286,80\)
2. \(288,82\)
3. \(286,81\)
4. \(280,81\)
Subtopic: Types of Decay |
67%
Level 2: 60%+
NEET - 2024
Hints
In a vernier callipers, \((N+1)\) divisions of the vernier scale coincide with \(N\) divisions of the main scale. If \(1\) \(\text{MSD}\) represents \(0.1~\text{mm}\), the vernier constant (in \(\text{cm}\)) is:
| 1. | \(\dfrac{1}{100(N+1)} \) | 2. | \(100N\) |
| 3. | \(10(N+1) \) | 4. | \(\dfrac{1}{10 N}\) |
Subtopic: Measurement & Measuring Devices |
71%
Level 2: 60%+
NEET - 2024
Hints
If \(x = 5 \mathrm {sin }\left(\pi t+ {\dfrac {\pi} 3}\right)~\text m\) represents the motion of a particle executing simple harmonic motion, the amplitude and time period of motion, respectively are:
| 1. | \(5~\text m, 2~\text s\) | 2. | \(5~\text {cm}, 1~\text s\) |
| 3. | \(5~\text m, 1~\text s\) | 4. | \(5~\text {cm}, 2~\text s\) |
Subtopic: Simple Harmonic Motion |
72%
Level 2: 60%+
NEET - 2024
Hints
In the above diagram, a strong bar magnet is moving towards solenoid-\(2\) from solenoid-\(1\). The direction of induced current in solenoid-\(1\) and that in solenoid-\(2\), respectively, are through the directions:
1. \(BA\) and \(CD\)
2. \(AB\) and \(CD\)
3. \(BA\) and \(DC\)
4. \(AB\) and \(DC\)
1. \(BA\) and \(CD\)
2. \(AB\) and \(CD\)
3. \(BA\) and \(DC\)
4. \(AB\) and \(DC\)
Subtopic: Faraday's Law & Lenz Law |
Level 3: 35%-60%
NEET - 2024
Hints
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