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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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 |
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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. \(150\)
Subtopic:  Energy stored in Capacitor |
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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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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 |
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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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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. \(\gamma:2\beta \)
Subtopic:  Instantaneous Speed & Instantaneous Velocity |
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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. \(\sqrt{5}\)
 
Subtopic:  Moment of Inertia |
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The \(I\text-V\) characteristics shown above are exhibited by a:
1. light-emitting diode 2. zener-diode
3. photodiode 4. solar cell
Subtopic:  Applications of PN junction |
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The correct decreasing order of atomic radii (pm) of Li, Be, B and C is:

1. Be > Li > B > C
2. Li > Be > B > C
3. C > B > Be > Li
4. Li > C > Be > B
Subtopic:  Atomic Size |
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