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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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. \(\gamma:2\beta \)
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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NEET - 2024
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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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The magnetic moment and moment of inertia of a magnetic needle as shown are, respectively, \(1.0\times10^{-2}~\text{A m}^{2}\text{and}~\frac{10^{-6}}{\pi^{2}}~\text{kg m}^{2}.\) If it completes \(10\) oscillations in \(10~\text s,\) the magnitude of the magnetic field is:
 
1. \(0.4~\text T\)
2. \(4~\text T\)
3. \(0.4~\text{mT}\)
4. \(4~\text{mT}\)
Subtopic:  Magnetization & Magnetic Intensity |
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NEET - 2024
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The capacitance of a capacitor with charge \(q\) and a potential difference \(V\) depends on:
1. both \(q\)  and \(V\)
2. the geometry of the capacitor
3. \(q\) only
4. \(V\) only
Subtopic:  Capacitance |
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Given below are two statements:

Statement I: Image formation needs regular reflection and/or refraction.
Statement II: The variety in colour of objects we see around us is due to the constituent colours of the light incident on them.

In the light of the above statements, choose the most appropriate answer from the options given below:
1. Statement I is correct but Statement II is incorrect.
2. Statement I is incorrect but Statement II is correct.
3. Both Statement I and Statement II are correct.
4. Both Statement I and Statement II are incorrect.
Subtopic:  Reflection at Plane Surface |
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