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Exam Details

JEE MAIN 2013 OFFLINE

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Questions 90
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 90 questions in this paper.

Subject distribution

Physics
30 Qs
Chemistry
30 Qs
Mathematics
30 Qs

Topic distribution

Algebra
14 Qs
Mechanics
12 Qs
Physical Chemistry
12 Qs
Electricity
10 Qs
Inorganic Chemistry
9 Qs
Organic Chemistry
9 Qs
Calculus
8 Qs
Coordinate Geometry
5 Qs
Optics
4 Qs
Modern Physics
4 Qs
Trigonometry
3 Qs

Subtopic distribution

Some Basic Concepts Of Chemistry
3 Qs
Chemical Bonding And Molecular Structure
3 Qs
Compounds Containing Nitrogen
3 Qs
Properties Of Matter
2 Qs
Simple Harmonic Motion
2 Qs
Matrices And Determinants
2 Qs
3D Geometry
2 Qs
Application Of Derivatives
2 Qs
Periodic Table And Periodicity
2 Qs
D And F Block Elements
2 Qs
Heat And Thermodynamics
2 Qs
Current Electricity
2 Qs

Difficulty distribution

Medium 52 57.8%
Easy 37 41.1%
Hard 1 1.1%

Question type distribution

Multiple Choices 90 100%

Syllabus

Full Syllabus

Sample questions from this paper

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

1
2013 · Physics · Mechanics · Properties Of Matter
JEE MAIN 2013 OFFLINE
If a piece of metal is heated to temperature \(\theta\) and then allowed to cool in a room which is at temperature \({\theta _0},\) the graph between the temperature \(T\) of the metal and time \(t\) will be closest to
A
JEE Main 2013 (Offline) Physics - Properties of Matter Question 291 English Option 1
B
JEE Main 2013 (Offline) Physics - Properties of Matter Question 291 English Option 2
C
JEE Main 2013 (Offline) Physics - Properties of Matter Question 291 English Option 3
D
JEE Main 2013 (Offline) Physics - Properties of Matter Question 291 English Option 4
2
2013 · Chemistry · Physical Chemistry · Gaseous State
JEE MAIN 2013 OFFLINE
For gaseous state, if most probable speed is denoted by C*, average speed by \(\mathop C\limits^{\_\_}\) and mean square speed by C, then for a large number of molecules the ratios of these speeds are:
A
C*: \(\mathop C\limits^{\_\_}\) : C = 1.128 : 1.225 : 1
B
C*: \(\mathop C\limits^{\_\_}\) : C = 1.225 : 1.128 : 1
C
C*: \(\mathop C\limits^{\_\_}\) : C = 1 : 1.225 : 1.128
D
C*: \(\mathop C\limits^{\_\_}\) : C = 1 : 1.128 : 1.225
3
2013 · Mathematics · Algebra · Sequences And Series
JEE MAIN 2013 OFFLINE
The sum of first 20 terms of the sequence 0.7, 0.77, 0.777,........,is
A
\({7 \over {81}}\left( {179 - {{10}^{ - 20}}} \right)\)
B
\({7 \over 9}\left( {99 - {{10}^{ - 20}}} \right)\)
C
\({7 \over {81}}\left( {179 + {{10}^{ - 20}}} \right)\)
D
\({7 \over 9}\left( {99 + {{10}^{ - 20}}} \right)\)
4
2013 · Physics · Mechanics · Simple Harmonic Motion
JEE MAIN 2013 OFFLINE
The amplitude of a damped oscillator decreases to \(0.9\) times its original magnitude in \(5s\). In another \(10s\) it will decrease to \(\alpha\) times its original magnitude, where \(\alpha\) equals
A
\(0.7\)
B
\(0.81\)
C
\(0.729\)
D
\(0.6\)
5
2013 · Chemistry · Physical Chemistry · Solid State
JEE MAIN 2013 OFFLINE
Which of the following exists as covalent crystals in the solid state?
A
Silicon
B
Sulphur
C
Phosphorous
D
Iodine
6
2013 · Mathematics · Algebra · Matrices And Determinants
JEE MAIN 2013 OFFLINE
If \(P = \left[ {\matrix{ 1 & \alpha & 3 \cr 1 & 3 & 3 \cr 2 & 4 & 4 \cr } } \right]\) is the adjoint of a \(3 \times 3\) matrix \(A\) and
\(\left| A \right| = 4,\) then \(\alpha\) is equal to :
A
\(4\)
B
\(11\)
C
\(5\)
D
\(0\)