The magnetic force acting on a charged particle of charge \(-2~\mu\text{C}\) in a magnetic field of \(2\) T acting in the \(y\text-\)direction, when the particle velocity is \((2\hat{i}+3\hat{j})\times10^6 ~\text{ms}^{-1}\) is:
| 1. | \(8\) N in \(-z\text-\)direction. |
| 2. | \(4\) N in the \(z\text-\)direction. |
| 3. | \(8\) N in the \(y\text-\)direction. |
| 4. | \(8\) N in the \(z\text-\)direction. |
Subtopic: Lorentz Force |
72%
Level 2: 60%+
AIPMT - 2009
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Which one of the following equations of motion represents simple harmonic motion where k, k0, k1, and a are all positive?
1. Acceleration = -k0x + k1x2
2. Acceleration = -k(x+a)
3. Acceleration = k(x+a)
4. Acceleration = kx
1. Acceleration = -k0x + k1x2
2. Acceleration = -k(x+a)
3. Acceleration = k(x+a)
4. Acceleration = kx
Subtopic: Simple Harmonic Motion |
79%
Level 2: 60%+
AIPMT - 2009
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Monochromatic light of wavelength 667 nm is produced by a helium-neon laser. The power emitted is 9mW. The number of photons arriving per second on average at a target irradiated by this beam is:
1. 9 x 1017
2. 3 X 1016
3. 9 x 1015
4. 3 X 1019
Subtopic: Photoelectric Effect: Experiment |
80%
Level 1: 80%+
AIPMT - 2009
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The figure shows a plot of photocurrent versus anode potential for a photosensitive surface for three different radiations. Which one of the following is a correct statement?
| 1. | Curves \(a\) and \(b\) represent incident radiations of different frequencies and different intensities. |
| 2. | Curves \(a\) and \(b\) represent incident radiation of the same frequency but of different intensities. |
| 3. | Curves \(b\) and \(c\) represent incident radiation of different frequencies and different intensities. |
| 4. | Curves \(b\) and \(c\) represent incident radiations of the same frequency having the same intensity. |
Subtopic: Photoelectric Effect: Experiment |
86%
Level 1: 80%+
AIPMT - 2009
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The power dissipated in an L-C-R series circuit connected to an AC source of emf E is:
1. \(\frac{\varepsilon^2R}{\Big[R^2+\Big(L\omega-\frac{1}{C\omega}\Big)^2\Big]}\)
2. \(\frac{\varepsilon^2\sqrt{R^2+\Big(L\omega-\frac{1}{C\omega}\Big)^2}}{R}~\)
3. \(\frac{\varepsilon^2\Big[R^2+\Big(L\omega-\frac{1}{C\omega}\Big)^2\Big]}{R}\)
4. \(\frac{\varepsilon^2R}{\sqrt{R^2+\Big(L\omega+\frac{1}{C\omega}\Big)^2}}~\)
Subtopic: Different Types of AC Circuits |
75%
Level 2: 60%+
AIPMT - 2009
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The electric potential at a point (x, y, z) is given by V = -x2y - xz3 + 4.
The electric field at that point is:
The electric field at that point is:
1. = (2xy + z3) + x2 + 3xz2
2. = 2xy + (x2 +y2) +(3xz-y2)
3. = z3 + xyz + z2
4. = (2xy- z3) + xy2 + 3z2x
2. = 2xy + (x2 +y2) +(3xz-y2)
3. = z3 + xyz + z2
4. = (2xy- z3) + xy2 + 3z2x
Subtopic: Relation between Field & Potential |
80%
Level 1: 80%+
AIPMT - 2009
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A bar magnet having a magnetic moment of \(2\times10^4\) JT-1 is free to rotate in a horizontal plane. A horizontal magnetic field \(B=6\times10^{-4}\) T exists in the space. The work done in taking the magnet slowly from a direction parallel to the field to a direction \(60^\circ\) from the field is:
1. \(0.6\) J
2. \(12\) J
3. \(6\) J
4. \(2\) J
1. \(0.6\) J
2. \(12\) J
3. \(6\) J
4. \(2\) J
Subtopic: Bar Magnet |
87%
Level 1: 80%+
AIPMT - 2009
Hints
A galvanometer having a coil resistance of \(60~ \Omega\) shows full-scale deflection when a current of \(1.0\) A passes through it. It can be converted into an ammeter to read currents up to \(5.0\) A by:
| 1. | Putting in parallel, a resistance of \(24~ \Omega\) |
| 2. | Putting in series, a resistance of \(15~ \Omega\) |
| 3. | Putting in series, a resistance of \(240~ \Omega\) |
| 4. | Putting in parallel, a resistance of \(15~ \Omega\) |
Subtopic: Moving Coil Galvanometer | Conversion to Ammeter & Voltmeter |
80%
Level 1: 80%+
AIPMT - 2009
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The two ends of a rod of length \(L\) and a uniform cross-sectional area \(A\) are kept at two temperatures \(T_1\text{ and }T_2~ (T_1> T_2).\) The rate of heat transfer \(\dfrac{dQ}{dt}\) through the rod in a steady state is given by:
1. \(\dfrac{dQ}{dt} = \dfrac{KL \left(\right. T_{1} - T_{2} \left.\right)}{A}\)
2. \(\dfrac{dQ}{dt} = \dfrac{K \left(\right. T_{1} - T_{2} \left.\right)}{LA}\)
3. \(\dfrac{dQ}{dt} = KLA \left(\right. T_{1} - T_{2} \left.\right)\)
4. \(\dfrac{dQ}{dt} = \dfrac{KA \left(\right. T_{1} - T_{2} \left.\right)}{L}\)
Subtopic: Conduction |
90%
Level 1: 80%+
AIPMT - 2009
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See the electrical circuit shown in this figure. Which of the following is a correct equation for it?
| 1. | \(\varepsilon_1-(i_1+i_2)R-i_1r_1=0\) |
| 2. | \(\varepsilon_2-i_2r_2-\varepsilon_1-i_1r_1=0\) |
| 3. | \(-\varepsilon_2-(i_1+i_2)R+i_2r_2=0\) |
| 4. | \(\varepsilon_1-(i_1+i_2)R+i_1r_1=0\) |
Subtopic: Kirchoff's Voltage Law |
73%
Level 2: 60%+
AIPMT - 2009
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