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 |
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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 \(280~\text{ms}^{-1}\) in the direction \(30^\circ\) above the horizontal. The maximum height attained by the bullet is: \(\left(g=9.8~\text{m/s}^{2}, \sin30^{\circ}=0.5\right)\)
1.
\(3000~\text{m}\)
2.
\(2800~\text{m}\)
3.
\(2000~\text{m}\)
4.
\(1000~\text{m}\)
Subtopic: Projectile Motion |
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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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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 |
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