An electron and an alpha particle are accelerated by the same potential difference. Let \(\lambda_\mathrm{e}\) and \(\lambda_\mathrm{\alpha}\) denote the de-Broglie wavelengths of the electron and the alpha particle, respectively, then:
1.
\(\lambda_{\mathrm{e}}>\lambda_{\alpha}\)
2.
\(\lambda_{\mathrm{e}}=4\lambda_{\alpha}\)
3.
\(\lambda_{\mathrm{e}}=\lambda_{\alpha}\)
4.
\(\lambda_{\mathrm{e}}<\lambda_{\alpha}\)
Subtopic: De-broglie Wavelength |
71%
From NCERT
NEET - 2024
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An object is moving along the horizontal \(x\text-\)direction with an initial kinetic energy of \(10~\text J.\) It is displaced through \(x=(3\hat{i})~\text{m}\) under the influence of a force \(\vec{{{F}}}=(-2\hat{i}+3\hat{j})~\text N.\) The kinetic energy of the object at the end of the displacement \(x\) is:
| 1. | \(10~\text{J}\) | 2. | \(16~\text J\) |
| 3. | \(4~\text J\) | 4. | \(6~\text J\) |
Subtopic: Work Energy Theorem |
68%
From NCERT
NEET - 2024
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An object falls from a height of \(10~\text m\) above the ground. After striking the ground it loses \(50\%\) of its kinetic energy. The height up to which the object can re-bounce from the ground is:
| 1. | \(7.5~\text m\) | 2. | \(10~\text m\) |
| 3. | \(2.5~\text m\) | 4. | \(5~\text m\) |
Subtopic: Gravitational Potential Energy |
67%
From NCERT
NEET - 2024
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In the circuit shown below, the inductance \(L\) is connected to a source. The current flowing in the circuit is \({I=I_{0}\sin\omega t.}\) The voltage drop \((V_L)\) across \(L\) is:
| 1. | \(\omega L~I_0\sin\omega t\) | 2. | \(\frac{{I}_0}{\omega{L}}\sin\omega t\) |
| 3. | \(\frac{{I}_0}{\omega{L}}\cos\omega t\) | 4. | \(\omega L~I_0\cos\omega t\) |
Subtopic: Different Types of AC Circuits |
From NCERT
NEET - 2024
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A \(12~\text{pF}\) capacitor is connected to a \(50~\text V\) battery. The electrostatic energy stored in the capacitor in \(\text{nJ}\) is:
| 1. | \(15\) | 2. | \(7.5\) |
| 3. | \(0.3\) | 4. | \(150\) |
Subtopic: Energy stored in Capacitor |
72%
From NCERT
NEET - 2024
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A uniform wire of diameter \(d\) carries a current of \(100~\text{mA}\) when the mean drift velocity of electrons in the wire is \(v.\) For a wire of diameter \({\dfrac{d}{2}}\) of the same material to carry a current of \(200~\text{mA},\) the mean drift velocity of electrons in the wire is:
| 1. | \(4v\) | 2. | \(8v\) |
| 3. | \(v\) | 4. | \(2v\) |
Subtopic: Current & Current Density |
70%
From NCERT
NEET - 2024
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In an electrical circuit, the voltage is measured as \({V}=(200\pm4)\) volts and the current is measured as \({I}=(20\pm0.2)~\text A.\) The value of the resistance is:
| 1. | \((10\pm4.2)~\Omega \) | 2. | \((10\pm0.3)~\Omega \) |
| 3. | \((10\pm0.1)~\Omega \) | 4. | \((10\pm0.8)~\Omega \) |
Subtopic: Derivation of Ohm's Law |
51%
From NCERT
NEET - 2024
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A step-up transformer is connected to an AC mains supply of \(220~\text V\) to operate at \(11000~\text V, 88~\text W.\) The current in the secondary circuit, ignoring the power loss in the transformer, is:
1. \(8~\text{mA}\)
2. \(4~\text{mA}\)
3. \(0.4~\text{A}\)
4. \(4~\text{A}\)
1. \(8~\text{mA}\)
2. \(4~\text{mA}\)
3. \(0.4~\text{A}\)
4. \(4~\text{A}\)
Subtopic: Transformer |
63%
From NCERT
NEET - 2024
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A particle is moving along the \(x\text-\)axis with its position \((x)\) varying with time \((t)\) as \(x=\alpha t^{4}+\beta t^{2}+\gamma t+\delta.\) The ratio of its initial velocity to its initial acceleration is:
1. \(2\alpha:\delta \)
2. \(\gamma:2\delta \)
3. \(4\alpha:\beta \)
4. \(\gamma:2\beta \)
1. \(2\alpha:\delta \)
2. \(\gamma:2\delta \)
3. \(4\alpha:\beta \)
4. \(\gamma:2\beta \)
Subtopic: Instantaneous Speed & Instantaneous Velocity |
77%
From NCERT
NEET - 2024
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The radius of gyration of a solid sphere of mass \(5~\text{kg}\) about \(XY \text- \text{axis}\) is \(5~\text m\) as shown in the figure. If the radius of the sphere is \(\frac{5x}{\sqrt{7}}~\text m,\) then the value of \(x\) is:
| 1. | \(5\) | 2. | \(\sqrt{2}\) |
| 3. | \(\sqrt{3}\) | 4. | \(\sqrt{5}\) |
Subtopic: Moment of Inertia |
72%
From NCERT
NEET - 2024
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