The mean free path of electrons in a metal is \(4\times 10^{-8}~\text{m}\). The electric field which can give an average of \(2~\text{eV}\) energy to an electron in the metal will be in units of Vm-1:
1. \(8\times 10^{7}\)
2. \(5\times 10^{-11}\)
3. \(8\times 10^{-11}\)
4. \(5\times 10^{7}\)
Subtopic:  Electric Field |
Level 3: 35%-60%
AIPMT - 2009
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The number of photoelectrons emitted for the light of a frequency ν (higher than the threshold frequency ν0) is proportional to:
1. ν -ν0
2. threshold frequency (ν0)
3. intensity of light
4. frequency of light (ν)
Subtopic:  Photoelectric Effect: Experiment |
 79%
Level 2: 60%+
AIPMT - 2009
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Each of the two strings of lengths \(51.6~\text{cm}\) and \(49.1~\text{cm}\) is tensioned separately by \(20~\text{N}\) of force. The mass per unit length of both strings is the same and equals \(1~\text{g/m}.\) When both the strings vibrate simultaneously, the number of beats is:
1. \(5\) 2. \(7\)
3. \(8\) 4. \(3\)
Subtopic:  Beats |
 57%
Level 3: 35%-60%
AIPMT - 2009
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The ionization energy of the electron in the hydrogen atom in its ground state is \(13.6~\text{eV}\). The atoms are excited to higher energy levels to emit radiations of \(6\) wavelengths. The maximum wavelength of emitted radiation corresponds to the transition between:
1. \(n= 3~\text{to}~n=2~\text{states}\)
2. \(n= 3~\text{to}~n=1~\text{states}\)
3. \(n= 2~\text{to}~n=1~\text{states}\)
4. \(n= 4~\text{to}~n=3~\text{states}\)
Subtopic:  Bohr's Model of Atom |
 62%
Level 2: 60%+
AIPMT - 2009
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Four identical thin rods, each of mass \(M\) and length \(l\), form a square frame. The moment of inertia of this frame about an axis through the centre of the square and perpendicular to its plane is:
1. \(\frac{4}{3}Ml^2\)
2. \(\frac{2}{3}Ml^2\)
3. \(\frac{13}{3}Ml^2\)
4. \(\frac{1}{3}Ml^2\)
 
Subtopic:  Moment of Inertia |
 77%
Level 2: 60%+
AIPMT - 2009
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In thermodynamic processes which of the following statements is not true?

1. In an adiabatic process, the system is insulated from
the surroundings.
2. In an isochoric process, pressure remains constant.
3. In an isothermal process, the temperature remains
constant.
4. In an adiabatic process \(PV^\gamma=\mathrm{constant}.\)

Subtopic:  Types of Processes |
 92%
Level 1: 80%+
AIPMT - 2009
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The figure shows the elliptical orbit of a planet \(m\) about the sun \({S}.\) The shaded area \(SCD\) is twice the shaded area \(SAB.\) If \(t_1\) is the time for the planet to move from \(C\) to \(D\) and \(t_2\) is the time to move from \(A\) to \(B,\) then:
                     

1. \(t_1=3t_2\) 2. \(t_1=4t_2\)
3. \(t_1=2t_2\) 4. \(t_1=t_2\)


Subtopic:  Kepler's Laws |
 74%
Level 2: 60%+
AIPMT - 2009
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Sodium has body-centered packing. The distance between the two nearest atoms is 3.7 Å. The lattice parameter is:
1. 6.8 Å
2. 4.3 Å
3. 3.0 Å
4. 8.5 Å
Subtopic:  Density & Packing Fraction |
 63%
Level 2: 60%+
AIPMT - 2009
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A block of mass \(M\) is attached to the lower end of a vertical spring. The spring is hung from a ceiling and has a force constant value of \(k\). The mass is released from rest with the spring initially unstretched. The maximum extension produced in the length of the spring will be:
1. \(Mg/k\)
2. \(2Mg/k\)
3. \(4Mg/k\)
4. \(Mg/2k\)
Subtopic:  Elastic Potential Energy |
 72%
Level 2: 60%+
AIPMT - 2009
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A body, under the action of a force \(\overset{\rightarrow}{F} = 6 \hat{i} - 8 \hat{j} + 10 \hat{k}\), acquires an acceleration of 1 ms-2. The mass of this body must be:

1. 2 √10 kg

2. 10 kg

3. 20 kg

4. 10 √2 kg

Subtopic:  Newton's Laws |
 89%
Level 1: 80%+
AIPMT - 2009
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