\(10\) resistors, each of resistance \(R\) are connected in series to a battery of \(E\) and negligible internal resistance. Then those are connected in parallel to the same battery, the current is increased \(n\) times. The value of \(n\) is:
1.
\(1000\)
2.
\(10\)
3.
\(100\)
4.
\(1\)
Subtopic: Combination of Resistors |
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A horizontal bridge is built across a river. A student standing on the bridge throws a small ball vertically upwards with a velocity \(4\) ms–1. The ball strikes the water surface after \(4\) s. The height of bridge above water surface is: (Take \(g=10~ \text {ms}^{-2}\) )
| 1. | \(68\) m | 2. | \(56\) m |
| 3. | \(60\) m | 4. | \(64\) m |
Subtopic: Uniformly Accelerated Motion |
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Two thin lenses are of the same focal lengths (\(f\)), but one is convex and the other one is concave. When they are placed in contact with each other, the equivalent focal length of the combination will be:
1. infinite
2. zero
3. \(f/4\)
4. \(f/2\)
1. infinite
2. zero
3. \(f/4\)
4. \(f/2\)
Subtopic: Lenses |
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The radius of inner most orbit of a hydrogen atom is \(5.3 \times 10^{-11}\) m. What is the radius of the third allowed orbit of a hydrogen atom?
| 1. | \(4.77~ \mathring{A}\) | 2. | \(0.53~ \mathring{A}\) |
| 3. | \(1.06~ \mathring{A}\) | 4. | \(1.59~ \mathring{A}\) |
Subtopic: Bohr's Model of Atom |
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The resistance of platinum wire at \(0^{\circ} \text{C}\) is \(2~ \Omega\) and \(6.8~ \Omega\) at \(80^{\circ}\text{C}\). The temperature coefficient of resistance of the wire is:
| 1. | \((3\times 10^{-1})^\circ \text{C}^{-1}\) | 2. | \((3 \times 10^{-4})^\circ \text{C}^{-1}\) |
| 3. | \((3 \times 10^{-3})^\circ \text{C}^{-1}\) | 4. | \((3 \times 10^{-2})^\circ \text{C}^{-1}\) |
Subtopic: Derivation of Ohm's Law |
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The net impedance of circuit (as shown in the figure) will be:
1. \(25~\Omega\)
2. \(10\sqrt{2}~\Omega\)
3. \(15~\Omega\)
4. \(5\sqrt{5}~\Omega\)
1. \(25~\Omega\)
2. \(10\sqrt{2}~\Omega\)
3. \(15~\Omega\)
4. \(5\sqrt{5}~\Omega\)
Subtopic: Different Types of AC Circuits |
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Calculate the maximum acceleration of a moving car so that a body lying on the floor of the car remains stationary. The coefficient of static friction between the body and the floor is \(0.15\). (take \(g=10\) ms-2)
| 1. | \(50\) ms-2 | 2. | \(1.2\) ms-2 |
| 3. | \(150\) ms-2 | 4. | \(1.5\) ms-2 |
Subtopic: Friction |
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For the following logic gate, the truth table is:
| 1. |
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| 2. |
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| 3. |
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| 4. |
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Subtopic: Logic gates |
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The \(x\text-t\) graph of a particle performing simple harmonic motion is shown in the figure. The acceleration of the particle at \(t=2\) s is:
1. \(-\frac{\pi^2}{16} ~\text{ms}^{-2}\)
2. \(\frac{\pi^2}{8}~ \text{ms}^{-2}\)
3. \(-\frac{\pi^2}{8} ~\text{ms}^{-2}\)
4. \(\frac{\pi^2}{16} ~\text{ms}^{-2}\)
1. \(-\frac{\pi^2}{16} ~\text{ms}^{-2}\)
2. \(\frac{\pi^2}{8}~ \text{ms}^{-2}\)
3. \(-\frac{\pi^2}{8} ~\text{ms}^{-2}\)
4. \(\frac{\pi^2}{16} ~\text{ms}^{-2}\)
Subtopic: Simple Harmonic Motion |
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The mass of CO2 produced by heating 20 g of 20% pure limestone as per the given below equation is:
\(\left[\mathrm{CaCO}_3 \stackrel{1200 \mathrm{~K}}{\longrightarrow} \mathrm{CaO}+\mathrm{CO}_2\right] \)
\(\left[\mathrm{CaCO}_3 \stackrel{1200 \mathrm{~K}}{\longrightarrow} \mathrm{CaO}+\mathrm{CO}_2\right] \)
| 1. | 1.32 g | 2. | 1.12 g |
| 3. | 1.76 g | 4. | 2.64 g |
Subtopic: Equation Based Problem |
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