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JEE Main 2021 February 26, Shift 2 Question Paper with Solutions

All 90 questions from the JEE Main 2021 (February 26, Shift 2) shift — Physics (30), Chemistry (30) and Mathematics (30) — each with the correct answer (answer key) and a step-by-step solution. Read it free online, or attempt the full paper as a timed mock test.

Physics30 questions

Q1Single correctCurrent Electricity
A wire of has a length of m. It is stretched till its length increases by . The percentage change in resistance to the nearest integer is :
(A)
(B)
(C)
(D)
Q2Single correctUnits and Measurements
If C and V represent capacity and voltage respectively then what are the dimensions of where ?
(A)
(B)
(C)
(D)
Q3Single correctKinematics
A scooter accelerates from rest for time at constant rate and then retards at constant rate for time and comes to rest. The correct value of will be :
(A)
(B)
(C)
(D)
Q4Single correctKinematics
The trajectory of a projectile in a vertical plane is , where and are constants and x & y are respectively the horizontal and vertical distances of the projectile from the point of projection. The angle of projection and the maximum height attained H are respectively given by
(A)
(B)
(C)
(D)
Q5Single correctLaws of Motion
An inclined plane making an angle of with the horizontal is placed in a uniform horizontal electric field as shown in the figure. A body of mass kg and charge mC is allowed to slide down from rest at a height of m. If the coefficient of friction is , find the time taken by the body to reach the bottom.
Right-triangle incline (base angle 30 deg); a 1 kg, 5 mC block on the slope; horizontal field arrow E=200 N/C pointing toward the incline; vertical height 1 m on the right.
(A)
(B)
(C)
(D)
Q6Single correctLaws of Motion
Two masses and , each of mass are fixed together by a massless spring, A force acts on the mass as shown in figure. If the mass starts moving away from mass with acceleration , then the acceleration of mass will be :
Block B and block A joined by a horizontal spring on a frictionless surface; force F applied to B pointing left.
(A)
(B)
(C)
(D)
Q7Single correctRotational Motion
A cord is wound round the circumference of wheel of radius , The axis of the wheel is horizontal and the moment of inertia about it is . A weight is attached to the cord at the end. The weight falls from rest. After falling through a distance h, the square of angular velocity of wheel will be
(A)
(B)
(C)
(D)
Q8Single correctProperties of Solids and Liquids
The length of metallic wire is when tension in it is . It is when the tension is . The original length of the wire will be :
(A)
(B)
(C)
(D)
Q9Single correctKinetic Theory of Gases
The internal energy (U), pressure (P) and volume (V) of an ideal gas are related as . The gas is
(A)
(B)
(C)
(D)
Q10Single correctOscillations and Waves
Given below are two statements:
Statement I: A second's pendulum has a time period of 1 second.
Statement II: It takes precisely one second to move between the two extreme positions. In the light of the above statements,
choose the correct answer from the options given below
(A)
(B)
(C)
(D)
Q11Single correctOscillations and Waves
A particle executes S.H.M., the graph of velocity as a function of displacement is :
(A)
(B)
(C)
(D)
Q12Single correctOscillations and Waves
A tuning fork A of unknown frequency produces beats with a fork of known frequency Hz. When fork A is filed, the beat frequency decreases to beats . What is the frequency of fork A ?
(A)
(B)
(C)
(D)
Q13Single correctElectrostatics
Given below are two statements
Statement I : An electric dipole is placed at the centre of a hollow sphere. The flux of electric field through the sphere is zero, but the electric field is not zero anywhere in the sphere.
Statement II : If is the radius of a solid metallic sphere and be the total charge on it. The electric field at any point on the spherical surface of radius is zero but the electric flux passing through this closed spherical surface of radius is not
In the light of the above statements, choose the correct answer from the options given below:
(A)
(B)
(C)
(D)
Q14Single correctElectromagnetic Induction and Alternating Currents
An aeroplane, with its wings spread m, is flying at a speed of km in a horizontal direction. The total intensity of earth's field at that part is Wb and the angle of dip is . The emf induced between the tips of the plane wings will be
(A)
(B)
(C)
(D)
Q15Single correctElectromagnetic Induction and Alternating Currents
Find the peak current and resonant frequency of the following circuit (as shown in figure).
Series LCR loop: 100 mH inductor and 100 microF capacitor across the top, AC source V=30 sin100t on the left, 120 ohm resistor across the bottom.
(A)
(B)
(C)
(D)
Q16Single correctOptics
Given below are two statements : one is labeled as Assertion and the other is labeled as Reason .
Assertion : For a simple microscope, the angular size of the object equals the angular size of the image.
Reason : Magnification is achieved as the small object can be kept much closer to the eye than 25 cm and hence it subtends a large angle. In the light of the above statements, choose the most appropriate answer from the options given below:
(A)
(B)
(C)
(D)
Q17Single correctOptics
The incident ray, reflected ray and the outward drawn normal are denoted by the unitvectors and respectively. Then choose the correct relation for these vectors.
(A)
(B)
(C)
(D)
Q18Single correctAtoms and Nuclei
The recoil speed of a hydrogen atom after it emits a photon in going from state to state will be
(A)
(B)
(C)
(D)
Q19Single correctAtoms and Nuclei
A radioactive sample is undergoing decay, At any time , its activity is A and another time , the activity is . What is the average life time for the sample ?
(A)
(B)
(C)
(D)
Q20Single correctElectronic Devices
Draw the output signal in the given combination of gates.
Input waveforms A and B versus time, and the logic circuit: NAND(A,B) feeding an OR gate (with B) whose output passes through a NOT gate to give Y.
(A)
(B)
(C)
(D)
Q21NumericalGravitation
In the reported figure of earth, the value of acceleration due to gravity is same at point A and C but it is smaller than that of its value at point B (surface of the earth). The value of OA : AB will be . The value of x is ______
Earth as a circle, centre O; vertical line through interior point A, surface point B, and external point C; C is 3200 km above B; radius R=6400 km marked from O.
Q22NumericalKinetic Theory of Gases
1 mole of rigid diatomic gas performs a work of when heat Q is supplied to it. The molar heat capacity of the gas during this transformation is . The value of x is
[R universal gas constant ]
Q23NumericalThermodynamics
The volume V of a given mass of monoatomic gas changes with temperature T according to the relation . The workdone when temperature changes by 90 K will be xR. The value of x is
[R universal gas constant ]
Q24NumericalOscillations and Waves
A particle executes S.H.M. with amplitude A and time period T. The displacement of the particle when its speed is half of maximum speed is . The value of x is
Q25NumericalOscillations and Waves
Time period of a simple pendulum is T. The time taken to complete oscillations starting from mean position is . The value of is ______
Q26NumericalElectrostatics
27 similar drops of mercury are maintained at 10 V each. All these spherical drops combine into a single big drop. The potential energy of the bigger drop is ______ times that of a smaller drop.
Q27NumericalOptics
A point source of light S, placed at a distance 60 cm infront of the centre of a plane mirror of width 50 cm, hangs vertically on a wall. A man walks infront of the mirror along a line parallel to the mirror at a distance 1.2 m from it (see in the figure). The distance between the extreme points where he can see the image of the light source in the mirror is ______ cm
Plan view: a 50 cm wide plane mirror on the left, a source S at 60 cm from the mirror, and a man at total distance 1.2 m.
Q28NumericalDual Nature of Matter and Radiation
Two stream of photons, possessing energies equal to twice and ten times the work function of metal are incident on the metal surface successively. The value of ratio of maximum velocities of the photoelectrons emitted in the two respective cases is . The value of is
Q29NumericalElectronic Devices
The zener diode has a V. The current passing through the diode for the following circuit is ______ mA.
Zener regulator: 90 V supply, 4 kohm series resistor, Zener diode (Vz=30 V) in parallel with a 5 kohm load resistor.
Q30NumericalElectromagnetic Waves
If the highest frequency modulating a carrier is 5 kHz, then the number of broadcast stations accommodated in a 90 kHz bandwidth are

Chemistry30 questions

Q31Single correctClassification of Elements and Periodicity in Properties
The correct order of electron gain enthalpy is:
(A)
(B)
(C)
(D)
Q32Single correctp-Block Elements
Which pair of oxides is acidic in nature?
(A)
(B)
(C)
(D)
Q33Single correctp-Block Elements
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : In Tl, isomorphous to Cs, the metal is present in +1 oxidation state.
Reason R : Tl metal has fourteen f electrons in its electronic configuration.
In the light of the above statements, choose the most appropriate answer from the options given below:
(A)
(B)
(C)
(D)
Q34Single correctChemical Bonding and Molecular Structure
Match List-I with List-II.
List-IList-II
(a). (i).
(b). (ii).
(c). (iii).
(d). (iv).
(A)
(B)
(C)
(D)
Q35Single correctp-Block Elements
Calgon is used for water treatment. Which of the following statement is NOT true about Calgon?
(A)
(B)
(C)
(D)
Q36Single correctAtomic Structure
Which of the following forms of hydrogen emits low energy particles?
(A)
(B)
(C)
(D)
Q37Single correctSome Basic Principles of Organic Chemistry
In molecule, the hybridization of carbon 1, 2, 3 and 4 respectively, are :
(A)
(B)
(C)
(D)
Q38Single correctSome Basic Concepts in Chemistry
The nature of charge on resulting colloidal particles when FeC is added to excess of hot water is:
(A)
(B)
(C)
(D)
Q39Single correctd- and f-Block Elements
Match List-I with List-II.
List-IList-II
(a). Sodium Carbonate(i). Deacon
(b). Titanium(ii). Castner-Kellner
(c). Chlorine(iii). van-Arkel
(d). Sodium hydroxide(iv). Solvay
(A)
(B)
(C)
(D)
Q40Single correctd- and f-Block Elements
Match List-I with List-II.
List-IList-II
(a). Siderite(i). Cu
(b). Calamine(ii). Ca
(c). Malachite(iii). Fe
(d). Cryolite(iv). Al
(v). Zn
(A)
(B)
(C)
(D)
Q41Single correctOrganic Compounds Containing Halogens
Match List-I with List-II.
List-IList-II
(a). (i). Wurtz reaction
(b). (ii). Sandmeyer reaction
(c). (iii). Fittig reaction
(d). (iv). Gatterman reaction
(A)
(B)
(C)
(D)
Q42Single correctOrganic Compounds Containing Halogens
Identify A in the given reaction.
Tetralin bearing a phenolic OH on the aromatic ring and an OH and a CH2OH on the saturated ring, treated with SOCl2 to give A (Major Product).
(A)
(B)
(C)
(D)
Q43Single correctHydrocarbons
Considering the above reaction, the major product among the following is:
A branched aliphatic ketone treated with 1) Zn/HCl then 2) Cr2O3, 773 K, 10-20 atm.
(A)
(B)
(C)
(D)
Q44Single correctOrganic Compounds Containing Oxygen
2, 4 DNP test can be used to identify :
(A)
(B)
(C)
(D)
Q45Single correctOrganic Compounds Containing Oxygen
Identify A in the given chemical reaction.
Benzene ring bearing two ortho -CH2CH2CHO chains, treated with NaOH, C2H5OH/H2O, heat to give A (Major Product) by intramolecular aldol.
(A)
(B)
(C)
(D)
Q46Single correctOrganic Compounds Containing Oxygen
Identify in the following chemical reaction.
4-methoxybenzaldehyde treated with i) HCHO, NaOH; ii) CH3CH2Br, NaH, DMF; iii) HI, heat to give A.
(A)
(B)
(C)
(D)
Q47Single correctOrganic Compounds Containing Nitrogen
Ceric ammonium nitrate and / alc. KOH are used for the identification of functional groups present in ___ and ___ respectively.
(A)
(B)
(C)
(D)
Q48Single correctOrganic Compounds Containing Nitrogen
A. Phenyl methanamine
B. N, N-Dimethylaniline
C. N-Methyl aniline
D. Benzenamine
Choose the correct order of basic nature of the above amines.
(A)
(B)
(C)
(D)
Q49Single correctBiomolecules
Match List-I with List-II.
List-IList-II
(a). Sucrose(i).
(b). Lactose(ii).
(c). Maltose(iii).
(A)
(B)
(C)
(D)
Q50Single correctBiomolecules
Seliwanoff test and Xanthoproteic test are used for the identification of ___ and ___ respectively.
(A)
(B)
(C)
(D)
Q51NumericalSome Basic Concepts in Chemistry
The weighed out to make 50 mL of an aqueous solution containing 70.0 mg per mL . (Rounded off to the nearest integer) [Given : Atomic weight in Na : 23; N : 14; O : 16]
Q52NumericalAtomic Structure
A ball weighing 10 g is moving with a velocity of 90 . If the uncertainty in its velocity is 5%, then the uncertainty in its position is _ m. (Rounded off to the nearest integer) [Given: Js]
Q53NumericalChemical Thermodynamics
The average bond energy in kJ of is _. (Rounded off to the nearest integer) [Given : The values of standard enthalpy of formation of , and are , 275 and 80 kJ respectively.]
Q54NumericalEquilibrium
The pH of ammonium phosphate solution, if of phosphoric acid and of ammonium hydroxide are 5.23 and 4.75 respectively, is
Q55NumericalRedox Reactions and Electrochemistry
In mildly alkaline medium, thiosulphate ion is oxidized by to "". The oxidation state of sulphur in "" is_
Q56NumericalSome Basic Concepts in Chemistry
The number of octahedral voids per lattice site in a lattice is_. (Rounded off to the nearest integer)
Q57NumericalSolutions
When 12.2 g of benzoic acid is dissolved in 100 g of water, the freezing point of solution was found to be ( K kg ). The number (n) of benzoic acid molecules associated (assuming 100% association) is _.
Q58NumericalRedox Reactions and Electrochemistry
Emf of the following cell at 298 K in V is

The value of x is _ (Rounded off to the nearest integer)
[Given : V; V; ]
Q59NumericalChemical Kinetics
If the activation energy of a reaction is 80.9 kJ , the fraction of molecules at 700 K, having enough energy to react to form products is . The value of x is (Rounded off to the nearest integer) [Use J ]
Q60NumericalCoordination Compounds
The number of stereo isomers possible for is _. [ox = oxalate]

Mathematics30 questions

Q61Single correctPermutations and Combinations
A natural number has prime factorization given by , where y and z are such that and . Then the number of odd divisors of n, including 1, is:
(A)
(B)
(C)
(D)
Q62Single correctSequence and Series
The sum of the series is equal to
(A)
(B)
(C)
(D)
Q63Single correctTrigonometry
If , and , then the value of is :
(A)
(B)
(C)
(D)
Q64Single correctCo-ordinate Geometry
If the locus of the mid-point of the line segment from the point to a point on the circle, is a circle of radius r, then r is equal to
(A)
(B)
(C)
(D)
Q65Single correctCo-ordinate Geometry
Let and be two points. Let P be a point on the circle , such that have maximum value, then the points, P,\ A and B lie on
(A)
(B)
(C)
(D)
Q66Single correctLimit, Continuity and Differentiability
Let f(x) be a differentiable function at with and . Then equals:
(A)
(B)
(C)
(D)
Q67Single correctSets, Relations and Functions
Let and be two logical expressions. Then :
(A)
(B)
(C)
(D)
Q68Single correctMatrices and Determinants
Consider the following system of equations:



where and are real constants. Then the system of equations :
(A)
(B)
(C)
(D)
Q69Single correctPermutations and Combinations
Let and be defined as Then the number of possible functions such that is:
(A)
(B)
(C)
(D)
Q70Single correctSets, Relations and Functions
Let and . If , then the domain of the function fog is
(A)
(B)
(C)
(D)
Q71Single correctLimit, Continuity and Differentiability
Let be defined as If f(x) is continuous on R, then equals :
(A)
(B)
(C)
(D)
Q72Single correctLimit, Continuity and Differentiability
The triangle of maximum area that can be inscribed in a given circle of radius is :
(A)
(B)
(C)
(D)
Q73Single correctIntegral Calculus
For , if , then is equal to
(A)
(B)
(C)
(D)
Q74Single correctDifferential Equations
Let be a differentiable function for all . Then f(x) equals :
(A)
(B)
(C)
(D)
Q75Single correctIntegral Calculus
Let be the area of the region bounded by the curves and y-axis in the first quadrant. Also, let be the area of the region bounded by the curves -axis and in the first quadrant. Then,
(A)
(B)
(C)
(D)
Q76Single correctDifferential Equations
Let slope of the tangent line to a curve at any point P(x,y) be given by . If the curve intersects the line at , then the value of y, for which the point lies on the curve, is :
(A)
(B)
(C)
(D)
Q77Single correctVector Algebra
If vectors and are collinear, then a possible unit vector parallel to the vector is:
(A)
(B)
(C)
(D)
Q78Single correctThree Dimensional Geometry
Let L be a line obtained from the intersection of two planes and . If point is the foot of perpendicular from on L, then the value of equals:
(A)
(B)
(C)
(D)
Q79Single correctThree Dimensional Geometry
If the mirror image of the point with respect to the plane is , then equals :
(A)
(B)
(C)
(D)
Q80Single correctStatistics and Probability
A seven digit number is formed using digits . The probability, that number so formed is divisible by , is
(A)
(B)
(C)
(D)
Q81NumericalSequence and Series
Let and be two real numbers such that and . Let , and for some integer . Then, the value of is ______.
Q82NumericalComplex Numbers and Quadratic Equations
Let z be those complex numbers which satisfy and , . If the maximum value of is , then the value of is
Q83NumericalPermutations and Combinations
The total number of -digit numbers whose greatest common divisor with is is ______.
Q84NumericalSequence and Series
If the arithmetic mean and the geometric mean of the and terms of the sequence satisfy the equation , then is equal to ______.
Q85NumericalCo-ordinate Geometry
Let L be a common tangent line to the curves and . Then the square of the slope of the line L is ______.
Q86NumericalStatistics and Probability
Let be eighteen observations such that and , where and are distinct real numbers. If the standard deviation of these observations is , then the value of is ______.
Q87NumericalMatrices and Determinants
If the matrix satisfies the equation for some real numbers and , then is equal to ______.
Q88NumericalDifferential Equations
Let the normals at all the points on a given curve pass through a fixed point (a,b). If the curve passes through and , given that , then is equal to ______.
Q89NumericalLimit, Continuity and Differentiability
Let a be an integer such that all the real roots of the polynomial lie in the interval . Then, is equal to ______.
Q90NumericalIntegral Calculus
If , for , and , , then equals ______.

More JEE Main 2021 papers

Frequently Asked Questions

How many questions are in the JEE Main 2021 February 26, Shift 2 paper?

The JEE Main 2021 February 26, Shift 2 paper has 90 questions — Physics (30), Chemistry (30) and Mathematics (30). Every question is on this page with its correct answer and a step-by-step solution.

What is the marking scheme for JEE Main?

JEE Main awards +4 marks for each correct answer and −1 for a wrong answer, with 0 for questions left unattempted. The paper covers Physics, Chemistry and Mathematics.

Are the answer key and step-by-step solutions provided for the 2021 February 26, Shift 2 paper?

Yes — every question shows the correct answer (answer key) and a detailed step-by-step solution, free to read online.

Can I take the JEE Main 2021 February 26, Shift 2 paper as a timed mock test?

Yes. With a free JEEnify account you can attempt this exact paper as a timed test in the real exam interface, then see your score and weak-area analysis.

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