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Exam Details

JEE MAIN 2021 ONLINE 20TH 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
16 Qs
Mechanics
15 Qs
Organic Chemistry
12 Qs
Inorganic Chemistry
10 Qs
Calculus
10 Qs
Physical Chemistry
8 Qs
Electricity
8 Qs
Modern Physics
5 Qs
Trigonometry
2 Qs
Coordinate Geometry
2 Qs
Optics
2 Qs

Subtopic distribution

Heat And Thermodynamics
4 Qs
Vector Algebra
3 Qs
Matrices And Determinants
3 Qs
Coordination Compounds
3 Qs
Compounds Containing Nitrogen
3 Qs
Atoms And Nuclei
2 Qs
Binomial Theorem
2 Qs
S Block Elements
2 Qs
P Block Elements
2 Qs
Waves
2 Qs
Parabola
2 Qs
Electrostatics
2 Qs

Difficulty distribution

Medium 62 68.9%
Easy 24 26.7%
Hard 4 4.4%

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 · Modern Physics · Atoms And Nuclei
JEE MAIN 2021 ONLINE 20TH JULY MORNING SHIFT
A radioactive material decays by simultaneous emissions of two particles with half lives of 1400 years and 700 years respectively. What will be the time after which one third of the material remains ? (Take ln 3 = 1.1)
A
740 years
B
1110 years
C
700 years
D
340 years
2
2021 · Chemistry · Physical Chemistry · Solid State
JEE MAIN 2021 ONLINE 20TH JULY MORNING SHIFT
Given below are two statements. One is labelled as Assertion A nd the other is labelled as Reason R.

Assertion A : Sharp glass edge becomes smooth on heating it upto its melting point.

Reason R : The viscosity of glass decreases on melting.

Choose the most appropriate answer from the options given below.
A
A is true but R is false
B
Both A and R are true but R is NOT the correct explanation of A.
C
A is false but R is true.
D
Both A and R are true and R is the correct explanation of A.
3
2021 · Mathematics · Algebra · Binomial Theorem
JEE MAIN 2021 ONLINE 20TH JULY MORNING SHIFT
The coefficient of x256 in the expansion of

(1 \(-\) x)101 (x2 + x + 1)100 is :
A
\({}^{100}{C_{16}}\)
B
\({}^{100}{C_{15}}\)
C
\(-\) \({}^{100}{C_{16}}\)
D
\(-\) \({}^{100}{C_{15}}\)
4
2021 · Physics · Mechanics · Waves
JEE MAIN 2021 ONLINE 20TH JULY MORNING SHIFT
The frequency of a car horn encountered a change from 400 Hz to 500 Hz, when the car approaches a vertical wall. If the speed of sound is 330 m/s. Then the speed of car is ___________ km/h.
Enter a numerical response
5
2021 · Chemistry · Physical Chemistry · Surface Chemistry
JEE MAIN 2021 ONLINE 20TH JULY MORNING SHIFT
The conditions given below are in the context of observing Tyndall effect in colloidal solutions :

(A) The diameter of the colloidal particles is comparable to the wavelength of light used.

(B) The diameter of the colloidal particles is much smaller than the wavelength of light used.

(C) The diameter of the colloidal particles is much larger than the wavelength of light used.

(D) The refractive indices of the dispersed phase and the dispersion medium are comparable.

(E) The dispersed phase has a very different refractive index from the dispersion medium.

Choose the most appropriate conditions from the options given below :
A
(A) and (E) only
B
(C) and (D) only
C
(A) and (D) only
D
(B) and (E) only
6
2021 · Mathematics · Trigonometry · Properties Of Triangle
JEE MAIN 2021 ONLINE 20TH JULY MORNING SHIFT
If in a triangle ABC, AB = 5 units, \(\angle B = {\cos ^{ - 1}}\left( {{3 \over 5}} \right)\) and radius of circumcircle of \(\Delta\)ABC is 5 units, then the area (in sq. units) of \(\Delta\)ABC is :
A
\(10 + 6\sqrt 2\)
B
\(8 + 2\sqrt 2\)
C
\(6 + 8\sqrt 3\)
D
\(4 + 2\sqrt 3\)