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.
\(8.5~\text{cm}\)
Subtopic: Moment of Inertia |
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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 |
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NEET - 2024
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Match List-I with List-II.
Choose the correct answer from the options given below:
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. \(\text{A-II, B-III, C-IV, D-I}\)
| 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 |
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NEET - 2024
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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. \(2~\mu\text F\)
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 |
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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 |
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\({ }_{82}^{290} X \xrightarrow{\alpha} Y \xrightarrow{e^{+}} Z \xrightarrow{\beta^{-}} P \xrightarrow{e^{-}} Q\)
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 |
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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 |
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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. \(5~\text {cm}, 2~\text s\)
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 |
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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: Bar Magnet |
From NCERT
NEET - 2024
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A logic circuit provides the output \(Y\) as per the following truth table:
The expression for the output \(Y\) is :
1. \(A \cdot \overline{B}+\overline{A} \)
2. \(\overline{B} \)
3. \(B \)
4. \(A \cdot B+\overline{A}\)
| \(A\) | \(B\) | \(Y\) |
| 0 0 1 1 |
0 1 0 1 |
1 0 1 0 |
1. \(A \cdot \overline{B}+\overline{A} \)
2. \(\overline{B} \)
3. \(B \)
4. \(A \cdot B+\overline{A}\)
Subtopic: Logic gates |
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