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Exam Details

AIEEE 2004

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Questions 221
Duration 180 mins
Package IIT-JEE Main - Previous Year Papers

Paper pattern & analysis

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Showing all 221 questions in this paper.

Subject distribution

Physics
78 Qs
Chemistry
75 Qs
Mathematics
68 Qs

Topic distribution

Mechanics
36 Qs
Algebra
33 Qs
Physical Chemistry
31 Qs
Electricity
28 Qs
Inorganic Chemistry
25 Qs
Calculus
21 Qs
Organic Chemistry
19 Qs
Modern Physics
10 Qs
Coordinate Geometry
10 Qs
Trigonometry
4 Qs
Optics
4 Qs

Subtopic distribution

Current Electricity
9 Qs
Basics Of Organic Chemistry
8 Qs
Coordination Compounds
6 Qs
Heat And Thermodynamics
6 Qs
Electrochemistry
6 Qs
Simple Harmonic Motion
5 Qs
Electronic Devices
5 Qs
P Block Elements
5 Qs
Vector Algebra
5 Qs
3D Geometry
5 Qs
Definite Integration
5 Qs
Work Power And Energy
5 Qs

Difficulty distribution

Easy 140 63.3%
Medium 80 36.2%
Hard 1 0.5%

Question type distribution

Multiple Choices 221 100%

Syllabus

Full Syllabus

Sample questions from this paper

Questions are selected across the paper subjects wherever the paper contains that variety.

1
2004 · Physics · Mechanics · Simple Harmonic Motion
AIEEE 2004
In forced oscillation of a particle the amplitude is maximum for a frequency \({\omega _1}\) of the force while the energy is maximum for a frequency \({\omega _2}\) of the force; then
A
\({\omega _1} < {\omega _2}\) when damping is small and \({\omega _1} > {\omega _2}\) when damping is large
B
\({\omega _1} > {\omega _2}\)
C
\({\omega _1} = {\omega _2}\)
D
\({\omega _1} < {\omega _2}\)
2
2004 · Chemistry · Physical Chemistry · Gaseous State
AIEEE 2004
As the temperature is raised from 20°C to 40°C, the average kinetic energy of neon atoms changes by a factor of which of the following?
A
1/2
B
2
C
\(313\over293\)
D
\(\sqrt{313\over293}\)
3
2004 · Mathematics · Algebra · Sequences And Series
AIEEE 2004
The sum of series \({1 \over {2\,!}} + {1 \over {4\,!}} + {1 \over {6\,!}} + ........\) is
A
\({{\left( {{e^2} - 2} \right)} \over e}\,\)
B
\({{{{\left( {e - 1} \right)}^2}} \over {2e}}\)
C
\({{\left( {{e^2} - 1} \right)} \over {2e}}\,\)
D
\({{\left( {{e^2} - 1} \right)} \over 2}\)
4
2004 · Physics · Modern Physics · Atoms And Nuclei
AIEEE 2004
A nucleus disintegrated into two nuclear parts which have their velocities in the ratio of \(2:1.\) The ratio of their nuclear sizes will be
A
\({3^{{\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}:1\)
B
\(1:{2^{1/3}}\)
C
\({2^{1/3}}:1\)
D
\(1:{3^{{\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}}}\)
5
2004 · Chemistry · Physical Chemistry · Gaseous State
AIEEE 2004
In Van der Waals equation of state of the gas law, the constant ‘b’ is a measure of
A
intermolecular repulsions
B
intermolecular collisions per unit volume
C
Volume occupied by the molecules
D
intermolecular attraction
6
2004 · Mathematics · Algebra · Sequences And Series
AIEEE 2004
The sum of the first n terms of the series \({1^2} + {2.2^2} + {3^2} + {2.4^2} + {5^2} + {2.6^2} + ....\,is\,{{n{{(n + 1)}^2}} \over 2}\) when n is even. When n is odd the sum is
A
\({\left[ {{{n(n + 1)} \over 2}} \right]^2}\)
B
\({{{n^2}(n + 1)} \over 2}\)
C
\({{n{{(n + 1)}^2}} \over 4}\)
D
\({{3n(n + 1)} \over 2}\)