A resistor is connected to a battery of \(12\) V EMF and internal resistance \(2~\Omega.\) If the current in the circuit is \(0.6\) A, the terminal voltage of the battery is:
1. \(12~\text{V}\)
2. \(1.2~\text{V}~\)
3. \(10~\text{V}\)
4. \(10.8~\text{V}\)
1. \(12~\text{V}\)
2. \(1.2~\text{V}~\)
3. \(10~\text{V}\)
4. \(10.8~\text{V}\)
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In a metre bridge experiment (see figure), the positions of the cell, \(E,\) and galvanometer, \(G,\) are interchanged. We shall observe in the galvanometer:
| 1. | Only the right-sided deflection. |
| 2. | Only the left-sided deflection. |
| 3. | There will be no deflection irrespective of the position of the jockey. |
| 4. | Both right-sided and left-sided deflection and, at balance point, no deflection. |
Level 4: Below 35%
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Savitha, a XI standard student, while conducting an experiment to determine the effective length of a simple pendulum \(L,\) notes down the data of time taken to complete \(30\) oscillations as \(60\) s and hence calculates the length of the simple pendulum as:
(take \(\pi^2 = 9.8\) and \(g = 9.8 \text{ m/s}^2\))
1. \(0.75~\text{m}\)
2. \(1~\text{m}~\)
3. \(1.5~\text{m}\)
4. \(2~\text{m}\)
(take \(\pi^2 = 9.8\) and \(g = 9.8 \text{ m/s}^2\))
1. \(0.75~\text{m}\)
2. \(1~\text{m}~\)
3. \(1.5~\text{m}\)
4. \(2~\text{m}\)
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Which of the following statements are correct?
Choose the correct answer from the options given below:
1. A, C and D only
2. A, C and E only
3. C, D and E only
4. A, B and D only
| A. | Inside a conductor, the electrostatic field is zero. |
| B. | The electric field at the surface of a charged conductor does not depend on its surface charge density. |
| C. | The interior of a charged conductor can have no excess charge in the static situation. |
| D. | At the surface of a charged conductor, the electrostatic field must be normal to the surface at every point. |
| E. | The electrostatic potential is zero everywhere inside a charged conductor. |
1. A, C and D only
2. A, C and E only
3. C, D and E only
4. A, B and D only
Level 4: Below 35%
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Two statements are given below:
Choose the correct answer from the options given below:
| \((\mathrm{A})~\) | When the forward bias voltage across a \(\mathrm{p\text{-}n}\) junction diode increases above a certain threshold voltage, the diode current increases significantly. |
| \((\mathrm{B})~\) | This current is called reverse saturation current. |
| 1. | Both Statements \((\mathrm{A})\) and \((\mathrm{B})\) are True. |
| 2. | Both Statements \((\mathrm{A})\) and \((\mathrm{B})\) are False. |
| 3. | Statement \((\mathrm{A})\) is True, but Statement \((\mathrm{B})\) is False. |
| 4 | Statement \((\mathrm{A})\) is False, but Statement \((\mathrm{B})\) is True. |
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In a concave lens, a ray of light emanating from the object parallel to the principal axis of the lens, after refraction:
| 1. | passes through the second principal focus |
| 2. | appears to diverge from the first principal focus |
| 3. | passes through \(2F,\) which is the radius of curvature of the lens |
| 4. | emerges parallel to the principal axis |
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An unknown nucleus has a nuclear density of \(2.29 \times 10^{17} ~\text{kg/m}^3\) and mass of \(19.926 \times 10^{-27} \text{ kg}\). Its mass number \(A\) is approximately:
(take \(R_0 = 1.2 \times 10^{-15} \text{ m}\), \(4\pi = 12.56\))
1. \(16~\)
2. \(20\)
3. \(12\)
4. \(19\)
(take \(R_0 = 1.2 \times 10^{-15} \text{ m}\), \(4\pi = 12.56\))
1. \(16~\)
2. \(20\)
3. \(12\)
4. \(19\)
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A galvanometer of resistance \(100~\Omega\) gives full-scale deflection for a current of \(1\) mA. It is converted into an ammeter of range \(0\text-10\) A. The shunt required is:
1. \(0.001~\Omega\)
2. \(0.10~\Omega\)
3. \(1.0~\Omega~\)
4. \(0.01~\Omega\)
1. \(0.001~\Omega\)
2. \(0.10~\Omega\)
3. \(1.0~\Omega~\)
4. \(0.01~\Omega\)
Level 4: Below 35%
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A thin wire of length '\(L\)' and linear mass density '\(m\)' is bent into a circular ring (in \(x\text-y\) plane) with centre '\(C\)' as shown in figure. The moment of inertia of the ring about an axis \(yy'\) will be:
1. \(\dfrac{3 {mL}^3}{8 \pi} \)
2. \(\dfrac{3 {~mL}^3}{8 \pi^2} \)
3. \(\dfrac{3 {mL}^2}{8 \pi^2} \)
4. \(\dfrac{3{mL}^2}{8 \pi}\)
1. \(\dfrac{3 {mL}^3}{8 \pi} \)
2. \(\dfrac{3 {~mL}^3}{8 \pi^2} \)
3. \(\dfrac{3 {mL}^2}{8 \pi^2} \)
4. \(\dfrac{3{mL}^2}{8 \pi}\)
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For a travelling harmonic wave:
\(y(x, t) = 2.0 \cos 2\pi(10 t - 0.0080 x + 0.35),\) where \(x\) and \(y\) are in cm and \(t\) in s. The phase difference between the oscillatory motions of two points separated by a distance of \(0.5\) m is:
1. \(0.08~ \pi \text{ rad}~\)
2. \(0.008~\pi \text{ rad}~\)
3. \(0.8 ~\pi \text{ rad}~\)
4. \(8 ~\pi \text{ rad}~\)
\(y(x, t) = 2.0 \cos 2\pi(10 t - 0.0080 x + 0.35),\) where \(x\) and \(y\) are in cm and \(t\) in s. The phase difference between the oscillatory motions of two points separated by a distance of \(0.5\) m is:
1. \(0.08~ \pi \text{ rad}~\)
2. \(0.008~\pi \text{ rad}~\)
3. \(0.8 ~\pi \text{ rad}~\)
4. \(8 ~\pi \text{ rad}~\)
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