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Exam Details

AIEEE 2003

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Questions 217
Duration 180 mins
Package IIT-JEE Main - Previous Year Papers

Paper pattern & analysis

Filter this paper by subject, topic or subtopic. Every graph updates from the selected questions.

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Showing all 217 questions in this paper.

Subject distribution

Chemistry
76 Qs
Physics
74 Qs
Mathematics
67 Qs

Topic distribution

Mechanics
36 Qs
Physical Chemistry
32 Qs
Algebra
31 Qs
Inorganic Chemistry
28 Qs
Electricity
21 Qs
Calculus
21 Qs
Organic Chemistry
16 Qs
Modern Physics
14 Qs
Coordinate Geometry
9 Qs
Trigonometry
4 Qs
Optics
3 Qs
Algebra
2 Qs

Subtopic distribution

Atoms And Nuclei
9 Qs
Vector Algebra
8 Qs
D And F Block Elements
8 Qs
Current Electricity
7 Qs
Laws Of Motion
7 Qs
Definite Integration
6 Qs
Heat And Thermodynamics
5 Qs
P Block Elements
5 Qs
3D Geometry
5 Qs
Straight Lines And Pair Of Straight Lines
5 Qs
Simple Harmonic Motion
5 Qs
Thermodynamics
5 Qs

Difficulty distribution

Easy 141 65%
Medium 76 35%

Question type distribution

Multiple Choices 217 100%

Syllabus

Full Syllabus

Sample questions from this paper

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

1
2003 · Physics · Mechanics · Properties Of Matter
AIEEE 2003
According to Newton's law of cooling, the rate of cooling of a body is proportional to \({\left( {\Delta \theta } \right)^n},\) where \({\Delta \theta }\) is the difference of the temperature of the body and the surrounding, and \(n\) is equal to :
A
two
B
three
C
four
D
one
2
2003 · Chemistry · Physical Chemistry · Gaseous State
AIEEE 2003
According to the kinetic theory of gases, in an ideal gas, between two successive collisions of a gas molecule travels
A
in a wavy path
B
in a straight line path
C
with an accelerated velocity
D
in a circular path
3
2003 · Mathematics · Algebra · Sequences And Series
AIEEE 2003
The sum of the serier \({1 \over {1.2}} - {1 \over {2.3}} + {1 \over {3.4}}..............\) up to \(\infty\) is equal to
A
\(\log {\,_e}\left( {{4 \over e}} \right)\,\,\)
B
\(2\,\log {\,_e}2\)
C
\(\log {\,_e}2 - 1\,\)
D
\(\log {\,_e}2\)
4
2003 · Physics · Mechanics · Heat And Thermodynamics
AIEEE 2003
A carnot engine takes \(3 \times {10^6}\) cal. of heat from a reservoir at \({627^ \circ }C,\) and gives it to a sink at \({27^ \circ }C\). The work done by the engine is
A
\(4.2 \times {10^6}J\)
B
\(8.4 \times {10^6}J\)
C
\(16.8 \times {10^6}J\)
D
zero
5
2003 · Chemistry · Physical Chemistry · Solid State
AIEEE 2003
How many unit cells are present in a cubeshaped ideal crystal of NaCl of mass 1.00 g? [Atomic masses: Na = 23, Cl = 35.5]
A
5.14 \(\times\) 1021 unit cells
B
1.28 \(\times\) 1021 unit cells
C
1.71 \(\times\) 1021 unit cells
D
2.57 \(\times\) 1021 unit cells
6
2003 · Mathematics · Algebra · Probability
AIEEE 2003
The mean and variance of a random variable \(X\) having binomial distribution are \(4\) and \(2\) respectively, then \(P(X=1)\) is :
A
\({1 \over 4}\)
B
\({1 \over 32}\)
C
\({1 \over 16}\)
D
\({1 \over 8}\)