A pan with a set of weights is attached to a light spring. The period of vertical oscillation is \(0.5~\mathrm{s}\). When some additional weights are put in the pan, then the period of oscillations increases by \(0.1\mathrm{~s}\). The extension caused by the additional weight is:
1. \(5.5 \mathrm{~cm}
\)
2. \(3.8 \mathrm{~cm}
\)
3. \(2.7 \mathrm{~cm}
\)
4. \(1.3 \mathrm{~cm}\)
Subtopic: Simple Harmonic Motion |
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A cylinder of radius \(R\) and length \(L\) is placed in a uniform electric field \(E\) parallel to the cylinder axis. The total flux for the surface of the cylinder is given by:
1. \(2\pi R^2E\)
2. \(\frac{\pi R^2}{E}\)
3. \(\frac RE\)
4. zero
Subtopic: Gauss's Law |
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If A + B = C and that C is perpendicular to A. What is the angle between A and B, if |A| = |C|?
1. \(\frac{\pi}{4}~\text{rad}\)
2. \(\frac{\pi}{2}~\text{rad}\)
3. \(\frac{3\pi}{4}~\text{rad}\)
4. \(\pi~\text{rad}\)
Subtopic: Scalar Product |
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A beam of light travelling along X-axis is described by the electric field Ey = 600 V/m.\(\sin~\omega \Big(t-\frac xc\Big),\) the maximum magnetic force on a charge q = 2e, moving along Y-axis with the speed of 3 × 108 m/s is:
1. 19.2 × 10-17 N
2. 1.92 × 10-17 N
3. 0.192 N
4. None of these
Subtopic: Properties of EM Waves |
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A body is whirled in a horizontal circle of radius \(25~\mathrm{cm}\). It has an angular velocity of \(13~\mathrm{rad/s}\). What is its linear velocity at any point on a circular path?
1. \(
2 \mathrm{~m} / \mathrm{s}
\)
2. \( 3 \mathrm{~m} / \mathrm{s}
\)
3. \( 3.25 \mathrm{~m} / \mathrm{s} \)
4. \(
4.25 \mathrm{~m} / \mathrm{s}\)
Subtopic: Circular Motion |
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A block having 12 g of an element is placed in a room. This element is a radioactive element with a half-life of 15 yr. After how many years will there be just 1.5 g of the element in the box?
1. 40 yr
2. 45 yr
3. 20 yr
4. 15 yr
Subtopic: Radioactivity (OLD NCERT) |
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An \(L-C-R\) series circuit with a resistance of \(100~\Omega\) is connected to \(200~\mathrm{V}\) (AC source) and angular frequency \(300~\mathrm{rad/s}\). When only the capacitor is removed, then the current lags behind the voltage by \(60^\circ\). When only the inductor is removed the current leads the voltage by \(60^\circ\). The average power dissipated in the original \(L-C-R\) circuit is:
1. \(
50 \mathrm{~W}
\)
2. \( 100 \mathrm{~W}
\)
3. \( 200 \mathrm{~W}
\)
4. \( 400 \mathrm{~W}\)
Subtopic: Different Types of AC Circuits |
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