Arjuna JEE (2026)
PRACTICE TEST - 01
DURATION ::180
DURATION Minutes
90 Minutes DATE : 18/05/2025 M.MARKS : 300
Topics Covered
Physics: Units and Dimension (Complete Chapter), Mathematical Tools (Complete Chapter)
Chemistry: Some Basic Concepts of Chemistry: Nature of Matter, Classification of Matter, Properties of
Matter and their Measurement, International System of Units (S.I), Uncertainty in Measurement
Laws of Chemical Combinations, Dalton's Atomic Theory, Atomic Mass, Atomic Mass Unit, Gram
Atomic Mass, Average Atomic Mass, Molecular Mass, Gram Molecular Mass, Average Molecular
Mass, Formula Mass, Percentage Composition, Empirical and Molecular formula, Mole, Vapour
density, Atomicity, Mole Concept, Stoichiometry and Stoichiometric Calculations
Mathematics: Basic Mathematics: Number system, Wavy Curve Method, Modulus
General Instructions:
1. Immediately fill in the particulars on this page of the test booklet.
2. The test is of 3 hours duration.
3. The test booklet consists of 75 questions. The maximum marks are 300.
4. There are three sections in the question paper, Section I, II & III consisting of Section-I (Physics), Section-II (Chemistry),
Section-III (Mathematics) and having 25 questions in each Section in which first 20 questions are Objective Type and
last 5 questions are integer type with answers ranging from ‘0’ to ‘999’ where answer needs to be rounded off to the
nearest integer and all 25 questions are compulsory.
5. There is only one correct response for each question.
6. Each correct answer will give 4 marks while 1 Mark will be deducted for a wrong response.
7. No student is allowed to carry any textual material, printed or written, bits of papers, pager, mobile phone, any electronic
device, etc. inside the examination room/hall.
8. On completion of the test, the candidate must hand over the Answer Sheet to the Invigilator on duty in the Room/Hall.
However, the candidates are allowed to take away this Test Booklet with them.
9. Do not fold or make any stray mark on the Answer Sheet (OMR).
OMR Instructions:
1. Use blue/black dark ballpoint pens.
2. Darken the bubbles completely. Don't put a tick mark or a cross mark where it is specified that you fill the bubbles
completely. Half-filled or over-filled bubbles will not be read by the software.
3. Never use pencils to mark your answers.
4. Never use whiteners to rectify filling errors as they may disrupt the scanning and evaluation process.
5. Writing on the OMR Sheet is permitted on the specified area only and even small marks other than the specified area may
create problems during the evaluation.
6. Multiple markings will be treated as invalid responses.
7. Do not fold or make any stray mark on the Answer Sheet (OMR) .
Name of the Student (In CAPITALS) : _______________________________________________________________
Roll Number : _____________________________________________________________________________________________
OMR Bar Code Number : ________________________________________________________________________________
Candidate’s Signature : _______________________________ Invigilator’s Signature _____________________
[1]
, Section-I (PHYSICS)
Single Correct Type Questions 7. Considering force (F), velocity (v) and energy (E) as
at3 fundamental quantities, match the correct dimensions of
1. For 10 , if t is time, then the dimension of a is
following quantities.
(1) M 0 L0T 0 (2) M 0 L0T 1
Force
(Pressure = , Light year Distance travelled by
(3) M L T
0 0 1
(4) None of these Area
light in one year)
Column-I Column-II
2. An unknown quantity α is expressed as
I. Mass P. F 1 v 0 E1
2ma 2β
α log 1 where m mass, a
β ma II. Light year Q. F 1 v1 E 1
acceleration, l length. The unit of α should be
(1) meter (2) m/s III. Frequency R. F 3 v 0 E 2
(3) m/s2 (4) s–1
IV. Pressure S. F 0 v 2 E 1
3. Dimensional formula for energy in terms of momentum
p , area A and time T is. [Momentum = Mass
(1) I-P, II-S, III-Q, IV-R
(2) I-R, II-P, III-Q, IV-S
× Velocity] (3) I-S, II-P, III-Q, IV-R
(1) p 2 A2T 1 (2) p1 A1/2T 1 (4) I-Q, II-P, III-S, IV-R
(3) p1/2 A1T 1 (4) p0 A2T 2 8. The physical quantity which has dimensional formula as
Energy
that of is
4. Force acting on a particle is given by Mass × Length
F = (A – x)/ Bt, where x is in metre and t is in seconds. Energy
The dimension of B is Power = Time
2 1
(1) MLT (2) M T 3
(1) Force (2) Power
(3) Pressure (4) Acceleration
M 1 1
(3) T (4) MT
9. The pressure of 106 dyne/cm2 is equivalent to
(1) 105 N/m2 (2) 106 N/m2
5. Using the principle of homogeneity of dimensions find 7 2
(3) 10 N/m (4) 108 N/m2
which is correct? [r distance, T time,
G Universal Gravitational Constant]
10. Velocity is a derived physical quantity which depends
4 2 r 3
(1) T
2
(2) T 4 r
2 2 2 on ____________fundamental quantities.
GM (1) zero (2) 1
4 r
2 3
4 r 2 3
(3) 2 (4) 4
(3) T2 (4) T
G G Fv 2 2πβ
11. α log e 2 (where v velocity, F
β v
2
6. When Bernoulli's theorem is expressed as
2
force). Find the dimensions of α and
P 1v
h constant. The dimensions of the (1) M 0 L2T 2 , M 1L1T 0
g 2 g 1 2
(2) M 1LT , M 1L1T 0
constant on the right hand side of the equation are given
Force (3) M 1L1T 0 , M 0 L2T 2
as (p pressure = , h height,
Area (4) M 1L1T 0 , M 0 L0T 1
Mass
v velocity, p density = , 12. If the unit of length and force be increased four times,
Volume
g acceleration due to gravity) then the unit of energy is:
(1) Increased 4 times
(1) M 0 L0T 0 (2) M 0 LT
1 0
(2) Increased 8 times
(3) M 1L0T 0 (4) M 1L2T 2 (3) Increased 16 times
(4) Decreased 16 times
[2]
PRACTICE TEST - 01
DURATION ::180
DURATION Minutes
90 Minutes DATE : 18/05/2025 M.MARKS : 300
Topics Covered
Physics: Units and Dimension (Complete Chapter), Mathematical Tools (Complete Chapter)
Chemistry: Some Basic Concepts of Chemistry: Nature of Matter, Classification of Matter, Properties of
Matter and their Measurement, International System of Units (S.I), Uncertainty in Measurement
Laws of Chemical Combinations, Dalton's Atomic Theory, Atomic Mass, Atomic Mass Unit, Gram
Atomic Mass, Average Atomic Mass, Molecular Mass, Gram Molecular Mass, Average Molecular
Mass, Formula Mass, Percentage Composition, Empirical and Molecular formula, Mole, Vapour
density, Atomicity, Mole Concept, Stoichiometry and Stoichiometric Calculations
Mathematics: Basic Mathematics: Number system, Wavy Curve Method, Modulus
General Instructions:
1. Immediately fill in the particulars on this page of the test booklet.
2. The test is of 3 hours duration.
3. The test booklet consists of 75 questions. The maximum marks are 300.
4. There are three sections in the question paper, Section I, II & III consisting of Section-I (Physics), Section-II (Chemistry),
Section-III (Mathematics) and having 25 questions in each Section in which first 20 questions are Objective Type and
last 5 questions are integer type with answers ranging from ‘0’ to ‘999’ where answer needs to be rounded off to the
nearest integer and all 25 questions are compulsory.
5. There is only one correct response for each question.
6. Each correct answer will give 4 marks while 1 Mark will be deducted for a wrong response.
7. No student is allowed to carry any textual material, printed or written, bits of papers, pager, mobile phone, any electronic
device, etc. inside the examination room/hall.
8. On completion of the test, the candidate must hand over the Answer Sheet to the Invigilator on duty in the Room/Hall.
However, the candidates are allowed to take away this Test Booklet with them.
9. Do not fold or make any stray mark on the Answer Sheet (OMR).
OMR Instructions:
1. Use blue/black dark ballpoint pens.
2. Darken the bubbles completely. Don't put a tick mark or a cross mark where it is specified that you fill the bubbles
completely. Half-filled or over-filled bubbles will not be read by the software.
3. Never use pencils to mark your answers.
4. Never use whiteners to rectify filling errors as they may disrupt the scanning and evaluation process.
5. Writing on the OMR Sheet is permitted on the specified area only and even small marks other than the specified area may
create problems during the evaluation.
6. Multiple markings will be treated as invalid responses.
7. Do not fold or make any stray mark on the Answer Sheet (OMR) .
Name of the Student (In CAPITALS) : _______________________________________________________________
Roll Number : _____________________________________________________________________________________________
OMR Bar Code Number : ________________________________________________________________________________
Candidate’s Signature : _______________________________ Invigilator’s Signature _____________________
[1]
, Section-I (PHYSICS)
Single Correct Type Questions 7. Considering force (F), velocity (v) and energy (E) as
at3 fundamental quantities, match the correct dimensions of
1. For 10 , if t is time, then the dimension of a is
following quantities.
(1) M 0 L0T 0 (2) M 0 L0T 1
Force
(Pressure = , Light year Distance travelled by
(3) M L T
0 0 1
(4) None of these Area
light in one year)
Column-I Column-II
2. An unknown quantity α is expressed as
I. Mass P. F 1 v 0 E1
2ma 2β
α log 1 where m mass, a
β ma II. Light year Q. F 1 v1 E 1
acceleration, l length. The unit of α should be
(1) meter (2) m/s III. Frequency R. F 3 v 0 E 2
(3) m/s2 (4) s–1
IV. Pressure S. F 0 v 2 E 1
3. Dimensional formula for energy in terms of momentum
p , area A and time T is. [Momentum = Mass
(1) I-P, II-S, III-Q, IV-R
(2) I-R, II-P, III-Q, IV-S
× Velocity] (3) I-S, II-P, III-Q, IV-R
(1) p 2 A2T 1 (2) p1 A1/2T 1 (4) I-Q, II-P, III-S, IV-R
(3) p1/2 A1T 1 (4) p0 A2T 2 8. The physical quantity which has dimensional formula as
Energy
that of is
4. Force acting on a particle is given by Mass × Length
F = (A – x)/ Bt, where x is in metre and t is in seconds. Energy
The dimension of B is Power = Time
2 1
(1) MLT (2) M T 3
(1) Force (2) Power
(3) Pressure (4) Acceleration
M 1 1
(3) T (4) MT
9. The pressure of 106 dyne/cm2 is equivalent to
(1) 105 N/m2 (2) 106 N/m2
5. Using the principle of homogeneity of dimensions find 7 2
(3) 10 N/m (4) 108 N/m2
which is correct? [r distance, T time,
G Universal Gravitational Constant]
10. Velocity is a derived physical quantity which depends
4 2 r 3
(1) T
2
(2) T 4 r
2 2 2 on ____________fundamental quantities.
GM (1) zero (2) 1
4 r
2 3
4 r 2 3
(3) 2 (4) 4
(3) T2 (4) T
G G Fv 2 2πβ
11. α log e 2 (where v velocity, F
β v
2
6. When Bernoulli's theorem is expressed as
2
force). Find the dimensions of α and
P 1v
h constant. The dimensions of the (1) M 0 L2T 2 , M 1L1T 0
g 2 g 1 2
(2) M 1LT , M 1L1T 0
constant on the right hand side of the equation are given
Force (3) M 1L1T 0 , M 0 L2T 2
as (p pressure = , h height,
Area (4) M 1L1T 0 , M 0 L0T 1
Mass
v velocity, p density = , 12. If the unit of length and force be increased four times,
Volume
g acceleration due to gravity) then the unit of energy is:
(1) Increased 4 times
(1) M 0 L0T 0 (2) M 0 LT
1 0
(2) Increased 8 times
(3) M 1L0T 0 (4) M 1L2T 2 (3) Increased 16 times
(4) Decreased 16 times
[2]