The ratio of radius of gyration of a solid sphere of mass \(M\) and radius \(R\) about its own axis to the radius of gyration of the thin hollow sphere of same mass and radius about its axis is:
1. \(5:2\) 2. \(3:5\)
3. \(5:3\) 4. \(2:5\)

Subtopic:  Moment of Inertia |
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An ac source is connected to a capacitor \(C\). Due to decrease in its operating frequency:
1. capacitive reactance remains constant 2. capacitive reactance decreases.
3. displacement current increases. 4. displacement current decreases.
Subtopic:  Different Types of AC Circuits |
From NCERT
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In hydrogen spectrum, the shortest wavelength in the Balmer series is \(\lambda\). The shortest wavelength in the Bracket series is:
1. \(16\lambda\)
2. \(2\lambda\)
3. \(4\lambda\)
4. \(9\lambda\)
Subtopic:  Spectral Series |
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Resistance of a carbon resistor determined from colour codes is \((22000 \pm 5 \%) ~\Omega\). The colour of third band must be:
1. Yellow
2. Red
3. Green
4. Orange
Subtopic:  Colour Coding of Resistors (OLD NCERT) |
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A vehicle travels half the distance with speed \(v\) and the remaining distance with speed \(2v\). Its average speed is:
1. \(\frac{3v}{4}\)
2. \(\frac{v}{3}\)
3. \(\frac{2v}{3}\)
4. \(\frac{4v}{3}\)
Subtopic:  Average Speed & Average Velocity |
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The potential energy of a long spring when stretched by \(2\) cm is \(U\). If the spring is stretched by \(8\) cm, potential energy stored in it will be: 
1. \(16U\) 2. \(2U\)
3. \(4U\) 4. \(8U\)
Subtopic:  Elastic Potential Energy |
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A bullet is fired from a gun at the speed of \(280\) ms–1 in the direction \(30^\circ\) above the horizontal. The maximum height attained by the bullet is: (\(g=9.8\) ms–2, \(\mathrm{sin}30^{0}=0.5\) )
1. \(3000\) m 2. \(2800\) m
3. \(2000\) m 4. \(1000\) m
Subtopic:  Projectile Motion |
 61%
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The half-life of a radioactive substance is \(20\) minutes. In how much time, the activity of substance drops to \((\frac{1}{16})^{\mathrm{th}}\) of its initial value?
1. \(80\) minutes
2. \(20\) minutes
3. \(40\) minutes
4. \(60\) minutes
Subtopic:  Radioactivity (OLD NCERT) |
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The net magnetic flux through any closed surface is:
1. negative
2. zero
3. positive
4. infinity
Subtopic:  Analogy between Electrostatics & Magnetostatics |
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A metal wire has mass \((0.4\pm 0.002)~\mathrm{g}\), radius \((0.3\pm 0.001)~\mathrm{mm}\) and length \((5\pm 0.02)~\mathrm{cm}\). The maximum possible percentage error in the measurement of density will nearly be:
1. \(1.4 \%\)
2. \(1.2 \%\)
3. \(1.3 \%\)
4. \(1.6 \%\)
Subtopic:  Errors |
From NCERT
NEET - 2023
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