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Exam Details

JEE MAIN 2019 ONLINE 10TH APRIL MORNING SLOT

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Questions 90
Duration 180 mins
Package IIT-JEE Main - Previous Year Papers

Paper pattern & analysis

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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
15 Qs
Mechanics
12 Qs
Electricity
11 Qs
Physical Chemistry
10 Qs
Inorganic Chemistry
9 Qs
Organic Chemistry
9 Qs
Calculus
9 Qs
Modern Physics
5 Qs
Coordinate Geometry
5 Qs
Optics
2 Qs
Trigonometry
1 Qs
Organic Chemistry
1 Qs

Subtopic distribution

Current Electricity
5 Qs
Rotational Motion
3 Qs
Heat And Thermodynamics
3 Qs
Limits Continuity And Differentiability
3 Qs
Communication Systems
2 Qs
Sequences And Series
2 Qs
Circle
2 Qs
Definite Integration
2 Qs
Geometrical Optics
2 Qs
Basics Of Organic Chemistry
2 Qs
3D Geometry
2 Qs
Haloalkanes And Haloarenes
2 Qs

Difficulty distribution

Medium 59 65.6%
Easy 29 32.2%
Hard 2 2.2%

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
2019 · Physics · Mechanics · Simple Harmonic Motion
JEE MAIN 2019 ONLINE 10TH APRIL MORNING SLOT
The displacement of a damped harmonic oscillator is given by
x(t ) = e–0.1t cos (10\(\pi\)t + f).
Here t is in seconds. The time taken for its amplitude of vibration to drop to half of its initial value is close to :
A
27 s
B
13 s
C
7 s
D
4 s
2
2019 · Chemistry · Physical Chemistry · Gaseous State
JEE MAIN 2019 ONLINE 10TH APRIL MORNING SLOT
Consider the following table :

Gas a/(k Pa dm6 mol-1) b/(dm3 mol-1)
A 642.32 0.05196
B 155.21 0.04136
C 431.91 0.05196
D 155.21 0.4382

a and b are vander Waals constants. The correct statement about the gases is :
A
Gas C will occupy more volume than gas A; gas B will be more compressible than gas D
B
Gas C will occupy lesser volume than gas A; gas B will be more compressible than gas D
C
Gas C will occupy lesser volume than gas A; gas B will be lesser compressible than gas D
D
Gas C will occupy more volume than gas A; gas B will be lesser compressible than gas D
3
2019 · Mathematics · Algebra · Sequences And Series
JEE MAIN 2019 ONLINE 10TH APRIL MORNING SLOT
The sum
\({{3 \times {1^3}} \over {{1^3}}} + {{5 \times ({1^3} + {2^3})} \over {{1^2} + {2^2}}} + {{7 \times \left( {{1^3} + {2^3} + {3^3}} \right)} \over {{1^2} + {2^2} + {3^2}}} + .....\) upto 10 terms is:
A
600
B
660
C
680
D
620
4
2019 · Physics · Modern Physics · Atoms And Nuclei
JEE MAIN 2019 ONLINE 10TH APRIL MORNING SLOT
Two radioactive materials A and B have decay constants 10\(\lambda\) and \(\lambda\), respectively. It initially they have the same number of nuclei, then the ratio of the number of nuclei of A to that of B will be 1/e after a time :
A
1/9\(\lambda\)
B
11/10\(\lambda\)
C
1/10\(\lambda\)
D
1/11\(\lambda\)
5
2019 · Chemistry · Inorganic Chemistry · Hydrogen
JEE MAIN 2019 ONLINE 10TH APRIL MORNING SLOT
The synonym for water gas when used in the production of methanol is :
A
fuel gas
B
laughing gas
C
syn gas
D
natural gas
6
2019 · Mathematics · Algebra · Mathematical Reasoning
JEE MAIN 2019 ONLINE 10TH APRIL MORNING SLOT
Which one of the following Boolean expressions is a tautology?
A
(p \(\vee\) q) \(\wedge\) (~ p \(\vee\) ~ q)
B
(p \(\vee\) q) \(\vee\) ( p \(\vee\) ~ q)
C
(p \(\wedge\) q) \(\vee\) ( p \(\wedge\) ~ q)
D
(p \(\vee\) q) \(\wedge\) ( p \(\vee\) ~ q)