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Exam Details

JEE MAIN 2021 ONLINE 25TH JULY MORNING SHIFT

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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
17 Qs
Mechanics
14 Qs
Organic Chemistry
13 Qs
Physical Chemistry
9 Qs
Inorganic Chemistry
8 Qs
Electricity
8 Qs
Calculus
8 Qs
Modern Physics
6 Qs
Coordinate Geometry
3 Qs
Trigonometry
2 Qs
Optics
2 Qs

Subtopic distribution

Binomial Theorem
3 Qs
Heat And Thermodynamics
3 Qs
Atoms And Nuclei
2 Qs
Vector Algebra
2 Qs
Chemistry In Everyday Life
2 Qs
Current Electricity
2 Qs
Aldehydes Ketones And Carboxylic Acids
2 Qs
Sequences And Series
2 Qs
Matrices And Determinants
2 Qs
Center Of Mass
2 Qs
Simple Harmonic Motion
2 Qs
Rotational Motion
2 Qs

Difficulty distribution

Medium 51 56.7%
Easy 35 38.9%
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 25TH JULY MORNING SHIFT
Some nuclei of a radioactive material are undergoing radioactive decay. The time gap between the instances when a quarter of the nuclei have decayed and when half of the nuclei have decayed is given as :

(where \(\lambda\) is the decay constant)
A
\({1 \over 2}{{\ln 2} \over \lambda }\)
B
\({{\ln 2} \over \lambda }\)
C
\({{2\ln 2} \over \lambda }\)
D
\({{\ln {3 \over 2}} \over \lambda }\)
2
2021 · Chemistry · Inorganic Chemistry · Isolation Of Elements
JEE MAIN 2021 ONLINE 25TH JULY MORNING SHIFT
In the leaching of alumina from bauxite, the ore expected to leach out in the process by reacting with NaOH is :
A
TiO2
B
Fe2O3
C
ZnO
D
SiO2
3
2021 · Mathematics · Algebra · Vector Algebra
JEE MAIN 2021 ONLINE 25TH JULY MORNING SHIFT
Let the vectors

\((2 + a + b)\widehat i + (a + 2b + c)\widehat j - (b + c)\widehat k,(1 + b)\widehat i + 2b\widehat j - b\widehat k\) and \((2 + b)\widehat i + 2b\widehat j + (1 - b)\widehat k\), \(a,b,c, \in R\)

be co-planar. Then which of the following is true?
A
2b = a + c
B
3c = a + b
C
a = b + 2c
D
2a = b + c
4
2021 · Physics · Modern Physics · Communication Systems
JEE MAIN 2021 ONLINE 25TH JULY MORNING SHIFT
In amplitude modulation, the message signal

Vm(t) = 10 sin (2\(\pi\) \(\times\) 105t) volts and

Carrier signal

VC(t) = 20 sin(2\(\pi\) \(\times\) 107 t) volts

The modulated signal now contains the message signal with lower side band and upper side band frequency, therefore the bandwidth of modulated signal is \(\alpha\) kHz. The value of \(\alpha\) is :
A
200 kHz
B
50 kHz
C
100 kHz
D
0
5
2021 · Chemistry · Inorganic Chemistry · S Block Elements
JEE MAIN 2021 ONLINE 25TH JULY MORNING SHIFT
Given below are two statements :

Statement I : None of the alkaline earth metal hydroxides dissolve in alkali.

Statement II : Solubility of alkaline earth metal hydroxides in water increases down the group.

In the light of the above statements, choose the most appropriate answer from the options given below :
A
Statement I is correct but Statement II is incorrect.
B
Statement I is incorrect but Statement II is correct.
C
Statement I and Statement II both are incorrect.
D
Statement I and Statement II both are correct.
6
2021 · Mathematics · Algebra · Mathematical Reasoning
JEE MAIN 2021 ONLINE 25TH JULY MORNING SHIFT
The Boolean expression \((p \Rightarrow q) \wedge (q \Rightarrow \sim p)\) is equivalent to :
A
\(\sim\) q
B
q
C
p
D
\(\sim\) p