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Exam Details

JEE MAIN 2021 ONLINE 27TH JULY MORNING SHIFT

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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
13 Qs
Calculus
11 Qs
Organic Chemistry
11 Qs
Physical Chemistry
10 Qs
Inorganic Chemistry
9 Qs
Electricity
9 Qs
Modern Physics
6 Qs
Coordinate Geometry
4 Qs
Optics
2 Qs
Trigonometry
1 Qs

Subtopic distribution

Definite Integration
4 Qs
Properties Of Matter
3 Qs
Atoms And Nuclei
3 Qs
Circle
3 Qs
Coordination Compounds
3 Qs
Limits Continuity And Differentiability
3 Qs
Capacitor
3 Qs
Matrices And Determinants
3 Qs
3D Geometry
2 Qs
Alternating Current
2 Qs
Compounds Containing Nitrogen
2 Qs
Vector Algebra
2 Qs

Difficulty distribution

Medium 53 58.9%
Easy 32 35.6%
Hard 5 5.6%

Question type distribution

Multiple Choices 60 66.7%
Numerical Answer Type (NAT) 30 33.3%

Syllabus

Full Syllabus

Sample questions from this paper

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

1
2021 · Physics · Mechanics · Properties Of Matter
JEE MAIN 2021 ONLINE 27TH JULY MORNING SHIFT
A body takes 4 min. to cool from 61\(^\circ\) C to 59\(^\circ\) C. If the temperature of the surroundings is 30\(^\circ\) C, the time taken by the body to cool from 51\(^\circ\) C to 49\(^\circ\) C is :
A
4 min.
B
3 min.
C
8 min.
D
6 min.
2
2021 · Chemistry · Inorganic Chemistry · S Block Elements
JEE MAIN 2021 ONLINE 27TH JULY MORNING SHIFT
Given below are two statements : One is labelled as Assertion A and the other labelled as Reason R.

Assertion A : Lithium halides are some what covalent in nature.

Reason R : Lithium posses high polarisation capability.

In the light of the above statements, choose the most appropriate answer from the options given below :
A
A is true but R is false
B
A is false but R is true
C
Both A and R are true but R is NOT the correct explanation of A
D
Both A and R are true and R is the correct explanation of A
3
2021 · Mathematics · Algebra · 3D Geometry
JEE MAIN 2021 ONLINE 27TH JULY MORNING SHIFT
Let the plane passing through the point (\(-\)1, 0, \(-\)2) and perpendicular to each of the planes 2x + y \(-\) z = 2 and x \(-\) y \(-\) z = 3 be ax + by + cz + 8 = 0. Then the value of a + b + c is equal to :
A
3
B
8
C
5
D
4
4
2021 · Physics · Modern Physics · Atoms And Nuclei
JEE MAIN 2021 ONLINE 27TH JULY MORNING SHIFT
If 'f' denotes the ratio of the number of nuclei decayed (Nd) to the number of nuclei at t = 0 (N0) then for a collection of radioactive nuclei, the rate of change of 'f' with respect to time is given as :

[\(\lambda\) is the radioactive decay constant]
A
\(-\) \(\lambda\) (1 \(-\) e\(-\)\(\lambda\)t)
B
\(\lambda\) (1 \(-\) e\(-\)\(\lambda\)t)
C
\(\lambda\)e\(-\)\(\lambda\)t
D
\(-\) \(\lambda\)e\(-\)\(\lambda\)t
5
2021 · Chemistry · Physical Chemistry · Structure Of Atom
JEE MAIN 2021 ONLINE 27TH JULY MORNING SHIFT
Given below are two statements :

Statement I : Rutherford's gold foil experiment cannot explain the line spectrum of hydrogen atom.

Statement II : Bohr's model of hydrogen atom contradicts Heisenberg' uncertainty principle.

In the light of the above statements, choose the most appropriate answer from the options given below :
A
Statement I is false but statement II is true.
B
Statement I is true but statement II is false.
C
Both statement I and statement II are false.
D
Both statement I and statement II are true.
6
2021 · Mathematics · Calculus · Definite Integration
JEE MAIN 2021 ONLINE 27TH JULY MORNING SHIFT
The value of \(\mathop {\lim }\limits_{n \to \infty } {1 \over n}\sum\limits_{j = 1}^n {{{(2j - 1) + 8n} \over {(2j - 1) + 4n}}}\) is equal to :
A
\(5 + {\log _e}\left( {{3 \over 2}} \right)\)
B
\(2 - {\log _e}\left( {{2 \over 3}} \right)\)
C
\(3 + 2{\log _e}\left( {{2 \over 3}} \right)\)
D
\(1 + 2{\log _e}\left( {{3 \over 2}} \right)\)