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 |
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From NCERT
NEET - 2024
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An object moving along a horizontal \(x\text-\)direction with kinetic energy \(10~\text J\) is displaced through \(x=\left(3\hat{i}\right)\text{m}\) by the force \(\vec{{{F}}}=\left(-2\hat{i}+3\hat{j}\right)~\text N.\) 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 |
62%
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 |
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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. \(\omega L~I_0\cos\omega t\)
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, and the electrostatic energy stored in the capacitor in \(\text{nJ}\) is:
1. \(15\)
2. \(7.5\)
3. \(0.3\)
4. \(150\)
1. \(15\)
2. \(7.5\)
3. \(0.3\)
4. \(150\)
Subtopic: Energy stored in Capacitor |
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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 |
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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. \((10\pm0.8)~\Omega \)
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 |
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 \(11000~\text V, 88\) watt. 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. | \(4~\text{A}\) |
Subtopic: Transformer |
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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, respectively, 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 |
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From NCERT
NEET - 2024
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The radius of gyration of a solid sphere of mass \(5~\text{kg}\) about \(XY\) is \(5~\text m\) as shown in the figure. 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. \(\sqrt{5}\)
1. \(5\)
2. \(\sqrt{2}\)
3. \(\sqrt{3}\)
4. \(\sqrt{5}\)
Subtopic: Moment of Inertia |
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From NCERT
NEET - 2024
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