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Exam Details

IIT JEE 1993

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Questions 51
Duration 180 mins
Package IIT-JEE Advance - 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 51 questions in this paper.

Subject distribution

Mathematics
29 Qs
Chemistry
20 Qs
Physics
2 Qs

Topic distribution

Algebra
8 Qs
Physical Chemistry
7 Qs
Coordinate Geometry
7 Qs
Trigonometry
6 Qs
Physical Chemistry
6 Qs
Inorganic Chemistry
5 Qs
Calculus
3 Qs
Calculus
3 Qs
Mechanics
2 Qs
Inorganic Chemistry
2 Qs
Algebra
2 Qs

Subtopic distribution

Structure Of Atom
6 Qs
Trigonometric Functions And Equations
4 Qs
Circle
4 Qs
Chemical Bonding And Molecular Structure
3 Qs
Vector Algebra
3 Qs
Application Of Derivatives
3 Qs
Probability
3 Qs
Definite Integration
3 Qs
Straight Lines And Pair Of Straight Lines
3 Qs
Gaseous State
2 Qs
Periodic Table And Periodicity
2 Qs
Mathematical Induction And Binomial Theorem
2 Qs

Difficulty distribution

Medium 31 60.8%
Easy 14 27.5%
Hard 6 11.8%

Question type distribution

Subjective 23 45.1%
Multiple Choices 18 35.3%
Fill in the blanks 10 19.6%

Syllabus

Full Syllabus

Sample questions from this paper

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

1
1993 · Chemistry · Physical Chemistry · Structure Of Atom
IIT JEE 1993
In a given electric field, \(\beta-particles\) are deflected more than \(\alpha-particles\) in spite of \(\alpha-particles\) having larger charge.
A
TRUE
B
FALSE
2
1993 · Mathematics · Algebra · Mathematical Induction And Binomial Theorem
IIT JEE 1993
Using mathematical induction, prove that
$${\tan ^{ - 1}}\left( {1/3} \right) + {\tan ^{ - 1}}\left( {1/7} \right) + ........{\tan ^{ - 1}}\left\{ {1/\left( {{n^2} + n + 1} \right)} \right\} = {\tan ^{ - 1}}\left\{ {n/\left( {n + 2} \right)} \right\}$$
Write your response
3
1993 · Physics · Mechanics · Motion
IIT JEE 1993
A particle of mass m moves on the x-axis as follows: it starts from rest at t = 0 from the point x = 0, and come to rest at t = 1 at the point x = 1. NO other information is available about its motion at intermediate times ( 0 < t < 1 ). If \(\alpha\) denotes the instantaneous acceleration of the particle, then:
A
\(\alpha\) cannot remain positive for all t in the interval \(0 \le t \le 1\)
B
\(\left| \alpha \right|\) cannot exceed 2 at any point in its path.
C
\(\left| \alpha \right|\) must be \(\ge\) 4 at some point or points in its path.
D
\(\alpha\) must be change sign during the motion, but no other assertion can be made with the information given.
4
1993 · Chemistry · Physical Chemistry · Gaseous State
IIT JEE 1993
In the van der Waal's equation (P + \({{{n^2}a} \over {{V^2}}}\))(V - nb) = nRT the constant 'a' reflects the actual volume of the gas molecules.
A
TRUE
B
FALSE
5
1993 · Mathematics · Algebra · Vector Algebra
IIT JEE 1993
In a triangle \(ABC, D\) and \(E\) are points on \(BC\) and \(AC\) respectively, such that \(BD=2DC\) and \(AE=3EC.\) Let \(P\) be the point of intersection of \(AD\) and \(BE.\) Find \(BP/PE\) using vector methods.
Write your response
6
1993 · Physics · Mechanics · Laws Of Motion
IIT JEE 1993
A uniform rod of length L and density \(\rho\) is being pulled along a smooth floor with a horizontal acceleration \(\alpha\) (see Fig.). The magnitude of the stress at the transverse cross-secion through the mid-point of the rod is _________.
Write your response