JEE JEE MAINS 2026 Shift 2 SET2 — JEE Main 2026 Question Paper with Solutions

Q1 MATHS PAPER 2B Unit 3: Matrices and Determinants

Let n be the number obtained on rolling a fair die. If the probability that the system of equations x - ny + z = 6, x + n^2y + (n + 1)z = 8, (n - 1)y + z = 1 has a unique solution is k/6, then the sum of k and all possible values of n is:

A. 21
B. 24
C. 20
D. 22

Correct answer & explanation hidden

Log in to view solution →

Q2 MATHS PAPER 2B Unit 13: Statistics and Probability

If the mean deviation about the median of the numbers k, 2k, 3k, ..., 1000k is 500, then k is equal to:

A. 16
B. 4
C. 1
D. 9

Correct answer & explanation hidden

Log in to view solution →

Q3 MATHS PAPER 2B Unit 1: Sets Relations and Functions

The number of elements in the relation R = {(x, y) : 4x^2 + y^2 < 52, x, y ∈ Z} is:

A. 77
B. 89
C. 67
D. 86

Correct answer & explanation hidden

Log in to view solution →

Q4 MATHS PAPER 2B Unit 2: Complex Numbers and Quadratic Equations

Let S = {z : 4z^2 + |z| = 0, z ∈ C}. Then Σ |z|^2, for z ∈ S, is equal to:

A. 3/16
B. 7/64
C. 1/16
D. 5/64

Correct answer & explanation hidden

Log in to view solution →

Q5 MATHS PAPER 2B Unit 7: Limit Continuity and Differentiability

If lim_{x->0} (e^{ax} - e^x - x)/ (x cos x - log(1+x)) = c, then a^2 + b^2 + c^2 is equal to:

A. 5
B. 3
C. 7
D. 9

Correct answer & explanation hidden

Log in to view solution →

Q7 MATHS PAPER 2B Unit 10: Co-ordinate Geometry

Among the statements (S1): If A(5, -1) and B(2, -3) are two vertices of a triangle whose orthocentre is (0, 0), then its third vertex is (-4, 7); (S2): If positive numbers 2a, b, c are three consecutive terms of an A.P., then the lines ax + by + c = 0 are concurrent at (2, -2),

A. Only (S1) is correct
B. Only (S2) is correct
C. Both are incorrect
D. Both are correct

Correct answer & explanation hidden

Log in to view solution →

Q7 MATHS Unit 10: Co-ordinate Geometry

Among the statements (S1) : If A(-5, 1) and B(2, -3) are two vertices of a triangle, whose orthocentre is (0,0), then its third vertex is (-4, 7) and (S2) : If positive numbers 2a, b, c are three consecutive terms of an A.P., then the lines ax + by + c = 0 are concurrent at (2, -2),

A. Only (S1) is correct
B. Only (S2) is correct
C. Both are incorrect
D. Both are correct

Correct answer & explanation hidden

Log in to view solution →

Q8 MATHS Unit 12: Vector Algebra

Let a_vec = i_hat - 2j_hat + k_hat and b_vec = j_hat + 2k_hat, lambda in Z be two vectors. Let c_vec = a_vec x b_vec and d_vec be a vector of magnitude 2 in yz-plane. If |c_vec| = 5*sqrt(3), then the maximum possible value of (c_vec dot d_vec)^2 is equal to:

A. 26
B. 104
C. 208
D. 52

Correct answer & explanation hidden

Log in to view solution →

Q9 MATHS Unit 3: Matrices and Determinants

If [x, y, z]^T is a solution of the system of equations AX = B, where adj(A) = [[4, 2, 2], [5, 0, 5], [1, 2, 3]] and B = [4, 0, 2]^T, then x + y + z is equal to:

A. 3
B. 3/2
C. 1
D. 2

Correct answer & explanation hidden

Log in to view solution →

Q10 MATHS PAPER 2B Unit 11: Three Dimensional Geometry

Let L be the line (x+1)/2 = (y+1)/3 = (z+3)/6 and let S be the set of all points (a,b,c) on L, whose distance from the line (x+1)/2 = (y+1)/3 = z/0 along the line L is 7. Then sum of (a+b+c) for all (a,b,c) in S is equal to:

A. 34
B. 28
C. 40
D. 6

Correct answer & explanation hidden

Log in to view solution →

Q11 MATHS PAPER 2B Unit 10: Co-ordinate Geometry

Let P(10, 2*sqrt(15)) be a point on the hyperbola x^2/a^2 - y^2/b^2 = 1, whose foci are S and S'. If the length of its latus rectum is 8, then the square of the area of triangle PSS' is equal to:

A. 4200
B. 900
C. 1462
D. 2700

Correct answer & explanation hidden

Log in to view solution →

Q13 MATHS Unit 2: Complex Numbers and Quadratic Equations

Let alpha, beta be the roots of the quadratic equation 12x^2 - 20x + lambda = 0, lambda in Z. If 1 <= beta - alpha <= 3/2, then the sum of all possible values of lambda is:

↻ Repeated question — also appeared in 2026 (1 set)

A. 6
B. 1
C. 3
D. 4

Correct answer & explanation hidden

Log in to view solution →

Q14 MATHS Unit 1: Sets Relations and Functions

Let the domain of the function f(x) = log_((3x-7)/(x-17)) (x^2 - 10x + 85) - 3 * 5^(2 * sin(pi * x)) be (alpha, beta]. Then alpha + beta is equal to:

A. 10
B. 12
C. 9
D. 8

Correct answer & explanation hidden

Log in to view solution →

Q15 MATHS Unit 1: Sets Relations and Functions

Let [x] denote the greatest integer function, and f(x) = min{2x, x^2}. Let S = {x belongs to (-2, 2) : the function g(x) = x[x] is discontinuous at x}. Then sum_{x in S} f(x) equals:

A. 2 - sqrt(2)
B. 2 - 6*sqrt(2)
C. 1 - 2*sqrt(2)
D. 6 - 2*sqrt(2)

Correct answer & explanation hidden

Log in to view solution →

Q16 MATHS Unit 10: Co-ordinate Geometry

Let S and S' be the foci of the ellipse x^2/25 + y^2/9 = 1 and P(alpha, beta) be a point on the ellipse in the first quadrant. If (SP + S'P)^2 - (SP * S'P) = 37, then alpha^2 + beta^2 is equal to:

A. 15
B. 11
C. 17
D. 13

Correct answer & explanation hidden

Log in to view solution →

Q17 MATHS Unit 10: Co-ordinate Geometry

Let the locus of the mid-point of the chord through the origin O of the parabola y^2 = 4x be the curve S. Let P be any point on S. Then the locus of the point, which internally divides OP in the ratio 3:1, is:

A. 3y^2 = 2x
B. 2y^2 = 3x
C. 3x^2 = 2y
D. 2x^2 = 3y

Correct answer & explanation hidden

Log in to view solution →

Q19 MATHS Unit 1: Sets Relations and Functions

Let f and g be functions satisfying f(x+y) = f(x)f(y), f(1)=7 and g(x+y) = g(x)g(y), g(1)=1 for all x,y ∈ N. If sum of f(x)/g(x) from x=1 to n = 19607, then n is equal to:

A. 7
B. 5
C. 6
D. 4

Correct answer & explanation hidden

Log in to view solution →

Q20 MATHS Unit 5: Binomial Theorem and its Simple Applications

Let Cr denote the coefficient of x^r in the binomial expansion of (1+x)^n. If P = sum from r=0 to n of [(-2)^r * Cr / (r+1)] = (2^n)/(n+1), then the value of sum from n=1 to 25 of (P * 2n+1) equals:

A. 580
B. 525
C. 650
D. 675

Correct answer & explanation hidden

Log in to view solution →

Q21 MATHS Unit 12: Vector Algebra

Let a vector a = 2i - j + λk, λ > 0, make an obtuse angle with the vector b = 4i - λj + 4k and an angle θ, π/6 < θ < π/2, with the positive z-axis. If the set of all possible values of λ is (α, β) - {γ}, then α + β + γ is equal to:

A. 5
B. 6
C. 4
D. 3

Correct answer & explanation hidden

Log in to view solution →

Q22 MATHS Unit 8: Integral Calculus

Let [•] be the greatest integer function. If α = integral from 0 to 64 of ([x^(1/3)] - x^(1/3)) dx, then calculate the value of 36 * integral from 0 to π/2 of (sin^6 θ / (sin^6 θ + cos^6 θ)) dθ.

A. 36
B. 18
C. 9
D. 72

Correct answer & explanation hidden

Log in to view solution →

Q23 MATHS Unit 14: Trigonometry

Let cos(α+β) = -1/10 and sin(α-β) = 3/8, where 0 < α < π/3 and 0 < β < π/4. If tan(2α) = (r-1)/(s+5), r,s ∈ N, then r + s is equal to:

A. 20
B. 15
C. 25
D. 10

Correct answer & explanation hidden

Log in to view solution →

Q24 MATHS Unit 6: Sequence and Series

Suppose a, b, c are in A.P. and a^2, 2b^2, c^2 are in G.P. If a < b < c and a + b + c = 1, then 9(a^2 + b^2 + c^2) is equal to:

A. 9
B. 6
C. 12
D. 15

Correct answer & explanation hidden

Log in to view solution →

Q25 MATHS Unit 4: Permutations and Combinations

Let S be the set of the first 11 natural numbers. The number of elements in A = {B ⊆ S : n(B) ≥ 2 and the product of all elements of B is even} is:

↻ Repeated question — also appeared in 2026 (1 set)

A. 1979
B. 2048
C. 1024
D. 1950

Correct answer & explanation hidden

Log in to view solution →

Q26 PHYSICS Unit 11: Electrostatics

If ε, E, and t represent the free space permittivity, electric field, and time respectively, then the unit of E/tε is:

A. Am
B. A/m^2
C. A/m
D. A*m^2

Correct answer & explanation hidden

Log in to view solution →

Q27 PHYSICS Unit 10: Oscillations and Waves

Using a simple pendulum experiment g is determined by measuring its time period T. Which of the following plots represent the correct relation between the pendulum length L and time period T?

A. T vs L (Linear)
B. T^2 vs L (Linear)
C. L vs T^2 (Inverse)
D. T vs L^2 (Linear)

Correct answer & explanation hidden

Log in to view solution →

Q29 PHYSICS Unit 5: Rotational Motion

A uniform bar of length 12 cm and mass 20m lies on a smooth horizontal table. Two point masses m and 2m are moving in opposite directions with same speed of v and in the same plane as the bar. These masses strike the bar simultaneously and get stuck to it. After collision the entire system is rotating with angular frequency ω. The ratio of v/ω is:

A. 33
B. 88
C. 66
D. 32

Correct answer & explanation hidden

Log in to view solution →

Q30 PHYSICS Unit 11: Electrostatics

Three small identical bubbles of water having same charge on each coalesce to form a bigger bubble. Then the ratio of the potentials on one initial bubble and that on the resultant bigger bubble is:

A. 1:3^(1/3)
B. 1:2^(2/3)
C. 3^(2/3):1
D. 1:3^(2/3)

Correct answer & explanation hidden

Log in to view solution →

Q31 PHYSICS Unit 16: Optics

In parallax method for the determination of focal length of a concave mirror, the object should always be placed:

↻ Repeated question — also appeared in 2026 (1 set)

A. between the focus (F) and the centre of curvature (C) of the mirror ONLY
B. at any point beyond the focus (F) of the mirror
C. beyond the centre of the curvature (C) of the mirror ONLY
D. between the pole (P) and the focus (F) of the concave mirror ONLY

Correct answer & explanation hidden

Log in to view solution →

Q32 PHYSICS Unit 18: Atoms and Nuclei

The smallest wavelength of Lyman series is 91 nm. The difference between the largest wavelengths of Paschen and Balmer series is nearly ____ nm.

A. 1875
B. 1550
C. 1217
D. 1784

Correct answer & explanation hidden

Log in to view solution →

Q33 PHYSICS Unit 10: Oscillations and Waves

In an open organ pipe 3v and 6v are 3rd and 6th harmonic frequencies, respectively. If 6v - 3v = 2200 Hz, then length of the pipe is ____ mm. (Take velocity of sound in air is 330 m/s.)

A. 275
B. 225
C. 200
D. 250

Correct answer & explanation hidden

Log in to view solution →

Q34 PHYSICS Unit 7: Properties of Solids and Liquids

When a part of a straight capillary tube is placed vertically in a liquid, the liquid raises upto certain height h. If the inner radius of the capillary tube, density of the liquid and surface tension of the liquid decrease by 1% each, then the height of the liquid in the tube will change by ____ %.

A. -1
B. +3
C. -3
D. +1

Correct answer & explanation hidden

Log in to view solution →

Q36 PHYSICS Unit 12: Current Electricity

An electric power line having total resistance of 2Ω, delivers 1 kW of power of 250 V. The percentage efficiency of transmission line is ____.

A. 96.9
B. 86.5
C. 100
D. 92.5

Correct answer & explanation hidden

Log in to view solution →

Q37 PHYSICS Unit 16: Optics

The wavelength of light, while it is passing through water is 540 nm. The refractive index of water is 4/3. The wavelength of the same light when it is passing through a transparent medium having refractive index of 3/2 is ____ nm.

A. 380
B. 840
C. 480
D. 540

Correct answer & explanation hidden

Log in to view solution →

Q38 PHYSICS Unit 14: Electromagnetic Induction and Alternating Currents

Figure shows the circuit that contains three resistances (9Ω each) and two inductors (4 mH each). The reading of ammeter at the moment switch K is turned ON, is ____ A.

A. 1
B. zero
C. 3
D. 2

Correct answer & explanation hidden

Log in to view solution →

Q38 PHYSICS Unit 12: Current Electricity

Figure shows the circuit that contains three resistances (9Ω each) and two inductors (4 mH each). The reading of ammeter at the moment switch K is turned ON, is ____ A.

A. 1
B. zero
C. 3
D. 2

Correct answer & explanation hidden

Log in to view solution →

Q39 PHYSICS Unit 6: Gravitation

Given below are two statements: Statement I: A satellite is moving around earth in the orbit very close to the earth surface. The time period of revolution of satellite depends upon the density of earth. Statement II: The time period of revolution of the satellite is T = 2π * sqrt(Re/g) (for satellite very close to the earth surface), where Re = radius of earth and g = acceleration due to gravity.

↻ Repeated question — also appeared in 2026 (1 set)

A. Both Statement I and Statement II are false
B. Both Statement I and Statement II are true
C. Statement I is true but Statement II is false
D. Statement I is false but Statement II is true

Correct answer & explanation hidden

Log in to view solution →

Q41 PHYSICS Unit 4: Work Energy and Power

Given below are two statements : Statement I: An object moves from position r1 to position r2 under a conservative force field F. The work done by the force is W = -∫[r1 to r2] F·dr. Statement II : Any object moving from one location to another location can follow infinite number of paths. Therefore, the amount of work done by the object changes with the path it follows for a conservative force. In the light of the above statements, choose the correct answer from the options given below :

A. Both Statement I and Statement II are true
B. Statement I is false but Statement II is true
C. Statement I is true but Statement II is false
D. Both Statement I and Statement II are false

Correct answer & explanation hidden

Log in to view solution →

Q42 PHYSICS Unit 11: Electrostatics

Five positive charges each having charge q are placed at the vertices of a pentagon as shown in the figure. The electric potential (V) and the electric field (E) at the center O of the pentagon due to these five positive charges are :

A. V = 5q / (4πε0r) and E = 0
B. V = 5q / (4πε0r) and E = 5√3q / (8πε0r²)
C. V = 5q / (4πε0r) and E = 5q / (4πε0r²)
D. V = 0 and E = 0

Correct answer & explanation hidden

Log in to view solution →

Q43 PHYSICS Unit 15: Electromagnetic Waves

A laser beam has intensity of 4.0 x 10^14 W / m². The amplitude of magnetic field associated with beam is ____ T. (Take ε0 = 8.85 x 10^-12 C²/Nm² and c = 3 x 10^8 m/s)

A. 2.0
B. 18.3
C. 5.5
D. 1.83

Correct answer & explanation hidden

Log in to view solution →

Q44 PHYSICS Unit 17: Dual Nature of Matter and Radiation

Light is incident on a metallic plate having work function 1.10 x 10^-20 J. If the produced photoelectrons have zero kinetic energy then the angular frequency of the incident light is ____ rad/s. (h = 6.63 x 10^-34 J.s)

↻ Repeated question — also appeared in 2026 (1 set)

A. 1.04 x 10^16
B. 1.04 x 10^13
C. 1.66 x 10^16
D. 1.66 x 10^15

Correct answer & explanation hidden

Log in to view solution →

Q45 PHYSICS Unit 3: Laws of Motion

Given below are two statements: Statement I: For a mechanical system of many particles total kinetic energy is the sum of kinetic energies of all the particles. Statement II: The total kinetic energy can be the sum of kinetic energy of the center of mass w.r.t. to the origin and the kinetic energy of all the particles w.r.t. the center of mass as the reference. In the light of the above statements, choose the correct answer from the options given below:

A. Both Statement I and Statement II are true
B. Statement I is true but Statement II is false
C. Statement I is false but Statement II is true
D. Both Statement I and Statement II are false

Correct answer & explanation hidden

Log in to view solution →

Q46 PHYSICS Unit 14: Electromagnetic Induction and Alternating Currents

A conducting circular loop is rotated about its diameter at a constant angular speed of 100 rad/s in a magnetic field of 0.5 T perpendicular to the axis of rotation. When the loop is rotated by 30° from the horizontal position, the induced EMF is 15.4 mV. The radius of the loop is α mm. Find α.

A. 7
B. 14
C. 21
D. 28

Correct answer & explanation hidden

Log in to view solution →

Q47 PHYSICS Unit 4: Work Energy and Power

Two masses m and 2m are connected by a light string going over a pulley (disc) of mass 30m with radius r = 0.1 m. The pulley is mounted in a vertical plane and it is free to rotate about its axis. The 2m mass is released from rest and its speed when it has descended through a height of 3.6 m is α m/s. Find α.

A. 2
B. 4
C. 6
D. 8

Correct answer & explanation hidden

Log in to view solution →

Q48 PHYSICS Unit 11: Electrostatics

A capacitor P with capacitance 10 * 10^-6 F is fully charged with a potential difference of 6.0 V and disconnected from the battery. The charged capacitor P is connected across another capacitor Q with capacitance 20 * 10^-6 F. The charge on capacitor Q when equilibrium is established will be α * 10^-5 C. Find α.

A. 1
B. 2
C. 3
D. 4

Correct answer & explanation hidden

Log in to view solution →

Q49 PHYSICS Unit 12: Current Electricity

A cylindrical conductor of length 2 m and area of cross-section 0.2 mm^2 carries an electric current of 1.6 A when its ends are connected to a 2 V battery. Mobility of electrons is α * 10^-3 m^2/V.s. Find α. (n = 5 * 10^28 m^-3, e = 1.6 * 10^-19 C)

A. 1
B. 2
C. 3
D. 4

Correct answer & explanation hidden

Log in to view solution →

Q50 PHYSICS Unit 9: Kinetic Theory of Gases

An insulated cylinder of volume 60 cm^3 is filled with a gas at 27°C and 2 atmospheric pressure. The gas is compressed to 20 cm^3 while the temperature rises to 77°C. The final pressure is α atmospheric pressure. Find α.

A. 5
B. 6
C. 7
D. 8

Correct answer & explanation hidden

Log in to view solution →

Q51 CHEMISTRY Unit 1: Some Basic Concepts in Chemistry

At T K, 100 g of 98% H2SO4 w/w aqueous solution is mixed with 100 g of 49% H2SO4 w/w aqueous solution. What is the mole fraction of H2SO4 in the resultant solution? (Atomic mass: H=1, S=32, O=16)

A. 0.9
B. 0.1
C. 0.337
D. 0.663

Correct answer & explanation hidden

Log in to view solution →

Q51 CHEMISTRY Unit 5: Solutions

At T K, 100 g of 98% H2SO4 (w/w) aqueous solution is mixed with 100 g of 49% H2SO4 (w/w) aqueous solution. What is the mole fraction of H2SO4 in the resultant solution? (Given: Atomic mass H=1u; S=32u; O=16u) (Assume that temperature after mixing remains constant)

A. 0.9
B. 0.1
C. 0.337
D. 0.663

Correct answer & explanation hidden

Log in to view solution →

Q53 CHEMISTRY Unit 1: Some Basic Concepts in Chemistry

A + 2B → AB2. 36.0 g of 'A' (Molar mass: 60 g mol⁻¹) and 56.0 g of 'B' (Molar mass: 80 g mol⁻¹) are allowed to react. Which of the following statements are correct? (A) 'A' is the limiting reagent (B) 77.0 g of AB2 is formed (C) Molar mass of AB2 is 140 g mol⁻¹ (D) 15.0 g of A is left unreacted after the completion of reaction.

A. C and D only
B. A and C only
C. B and D only
D. A and B only

Correct answer & explanation hidden

Log in to view solution →

Q54 CHEMISTRY Unit 9: Classification of Elements and Periodicity in Properties

Given below are two statements: Statement-I: The first ionization enthalpy of Cr is lower than that of Mn. Statement-II: The second and third ionization enthalpies of Cr are higher than those of Mn. In the light of the above statements, choose the correct answer:

A. Both Statement-I and Statement-II are false.
B. Statement-I is true but Statement-II is false.
C. Both Statement-I and Statement-II are true.
D. Statement-I is false but Statement-II is true.

Correct answer & explanation hidden

Log in to view solution →

Q56 CHEMISTRY Unit 13: Purification and Characterisation of Organic Compounds

When 1 g of compound (X) is subjected to Kjeldahl's method for estimation of nitrogen, 15 mL, 1M H2SO4 was neutralized by ammonia evolved. The percentage of nitrogen in compound (X) is:

A. 21
B. 0.42
C. 42
D. 0.21

Correct answer & explanation hidden

Log in to view solution →

Q57 CHEMISTRY Unit 8: Chemical Kinetics

Correct statements regarding Arrhenius equation among the following are: (A) Factor e^(-Ea/RT) corresponds to fraction of molecules having kinetic energy less than Ea. (B) At a given temperature, lower the Ea, faster is the reaction. (C) Increase in temperature by about 10ºC, generally doubles the rate of reaction. (D) Plot of logk vs 1/T gives a straight line with slope = -Ea/R.

A. B and D only
B. A and B only
C. A and C only
D. B and C only

Correct answer & explanation hidden

Log in to view solution →

Q58 CHEMISTRY Unit 14: Some Basic Principles of Organic Chemistry

The IUPAC name of the following compound is:

↻ Repeated question — also appeared in 2026 (1 set)

A. n-propyl-2-bromo-5-methylheptanoate
B. 2-bromo-5-methylhexylpropanoate
C. 2-bromo-5-methylpropanoate
D. n-propyl-1-bromo-4-methylhexanoate

Correct answer & explanation hidden

Log in to view solution →

Q59 CHEMISTRY Unit 10: p-Block Elements

Given below are two statements: Statement-I: Element 'X' and 'Y' are the most and least electronegative elements, respectively among N, As, Sb and P. The nature of the oxides X2O3 and Y2O3 is acidic and amphoteric, respectively. Statement-II: BCl3 is covalent in nature and gets hydrolysed in water. It produces [B(OH)4]- and [B(H2O)6]3+ in aqueous medium. In the light of the above statements, choose the correct answer from the options given below:

A. Both Statement-I and Statement-II are true.
B. Statement-I is true but Statement-II is false.
C. Both Statement-I and Statement-II are false.
D. Statement-I is false but Statement-II is true.

Correct answer & explanation hidden

Log in to view solution →

Q60 CHEMISTRY Unit 19: Biomolecules

A. A-I, B-III, C-IV, D-II
B. A-IV, B-I, C-II, D-III
C. A-III, B-I, C-IV, D-II
D. A-IV, B-III, C-II, D-I

Correct answer & explanation hidden

Log in to view solution →

Q61 CHEMISTRY Unit 3: Chemical Bonding and Molecular Structure

Among H2S, H2O, NF3, NH3 and CHCl3, identify the molecule (X) with lowest dipole moment value. The number of lone pairs of electrons present on the central atom of the molecule (X) is:

A. 2
C. 1
D. 3

Correct answer & explanation hidden

Log in to view solution →

Q62 CHEMISTRY Unit 9: Classification of Elements and Periodicity in Properties

Given below are two statements: Statement-I: C < O < N < F is the correct order in terms of first ionization enthalpy values. Statement-II: S > Se > Te > Po > O is the correct order in terms of the magnitude of electron gain enthalpy values. In the light of the above statements, choose the correct answer from the options given below:

A. Statement-I is false but Statement-II is true.
B. Both Statement-I and Statement-II are true.
C. Both Statement-I and Statement-II are false.
D. Statement-I is true but Statement-II is false.

Correct answer & explanation hidden

Log in to view solution →

Q63 CHEMISTRY Unit 6: Equilibrium

Which of the following mixture gives a buffer solution with pH 9.25? Given: pKb(NH4OH) = 4.75.

A. 0.2M NH4OH 0.4L + 0.1M HCl 1L
B. 0.2M NH4OH 0.5L + 0.1M HCl 0.5L
C. 0.5M NH4OH 0.2L + 0.2M HCl 0.5L
D. 0.4M NH4OH 1L + 0.1M HCl 1L

Correct answer & explanation hidden

Log in to view solution →

Q64 CHEMISTRY Unit 2: Atomic Structure

The energy of first (lowest) Balmer line of H atom is x J. The energy (in J) of second Balmer line of H atom is:

A. x^2
B. x/1.35
C. 2x
D. 1.35x

Correct answer & explanation hidden

Log in to view solution →

Q65 CHEMISTRY Unit 20: Principles Related to Practical Chemistry

Identify the correct statements: A. Hydrated salts can be used as primary standard. B. Primary standard should not undergo any reaction with air. C. Reactions of primary standard with another substance should be instantaneous and stoichiometric. D. Primary standard should not be soluble in water. E. Primary standard should have low relative molar mass.

↻ Repeated question — also appeared in 2026 (1 set)

A. A, B, C and E only
B. A, B, and C only
C. A, B and E only
D. D and E only

Correct answer & explanation hidden

Log in to view solution →

Q66 CHEMISTRY Unit 12: Coordination Compounds

[Ni(PPh3)2Cl2] is a paramagnetic complex. Identify the INCORRECT statements about this complex. A. The complex exhibits geometrical isomerism. B. The complex is white in colour. C. The calculated spin-only magnetic moment of the complex is 2.84 BM. D. The calculated CFSE of Ni in this complex is -0.8Δt. E. The geometrical arrangement of ligands in this complex is similar to that in Ni(CO)4. Choose the correct answer from the options given below:

A. A and B only
B. A, B and D only
C. C and D only
D. C, D and E only

Correct answer & explanation hidden

Log in to view solution →

Q67 CHEMISTRY Unit 7: Redox Reactions and Electrochemistry

Consider the following reduction processes: Al^3+ + 3e- -> Al(s), E° = -1.66 V Fe^3+ + e- -> Fe^2+, E° = +0.77 V Co^3+ + e- -> Co^2+, E° = +1.81 V Cr^3+ + 3e- -> Cr(s), E° = -0.74 V The tendency to act as reducing agent decreases in the order:

A. Al > Cr > Fe^2+ > Co^2+
B. Al > Fe^2+ > Cr > Co^2+
C. Al > Cr > Co^2+ > Fe^2+
D. Cr > Fe^2+ > Al > Co^2+

Correct answer & explanation hidden

Log in to view solution →

Q71 CHEMISTRY Unit 7: Redox Reactions and Electrochemistry

Consider the following electrochemical cell: Pt | O2(g) | HCl(aq) || M^2+(aq), 1.0M | M(s) The pH above which, oxygen gas would start to evolve at anode is ____ (nearest integer). Given: E°(M^2+/M) = 0.994 V; E°(O2/H2O) = 1.23 V; (2.303 RT/F) = 0.059 V

A. 3
B. 4
C. 5
D. 6

Correct answer & explanation hidden

Log in to view solution →

Q72 CHEMISTRY Unit 4: Chemical Thermodynamics

If the enthalpy of sublimation of Li is 155 kJ mol^-1, enthalpy of dissociation of F2 is 150 kJ mol^-1, ionization enthalpy of Li is 520 kJ mol^-1, electron gain enthalpy of F is -313 kJ mol^-1, standard enthalpy of formation of LiF is -594 kJ mol^-1. The magnitude of lattice enthalpy of LiF is ____ kJ mol^-1 (Nearest integer).

↻ Repeated question — also appeared in 2026 (1 set)

A. 1031
B. 1013
C. 980
D. 1150

Correct answer & explanation hidden

Log in to view solution →

Q73 CHEMISTRY Unit 11: d- and f-Block Elements

Among the following oxides of 3d elements, the number of mixed oxides are: TiO2, V2O3, Cr2O3, Mn3O4, Fe2O3, Fe3O4, Co3O4.

A. 1
B. 2
C. 3
D. 4

Correct answer & explanation hidden

Log in to view solution →

Q74 CHEMISTRY Unit 14: Some Basic Principles of Organic Chemistry

The mass of benzanilide obtained from the benzoylation reaction of 5.8 g of aniline, if yield of product is 82%, is ____ g (nearest integer). (Given molar mass in g mol^-1: H:1, C:12, N:14, O:16)

A. 8
B. 10
C. 12
D. 14

Correct answer & explanation hidden

Log in to view solution →

Q75 CHEMISTRY Unit 8: Chemical Kinetics

Consider A -> B and C -> D are two reactions. If the rate constant k1 of the A -> B reaction can be expressed by log(k1) = 14.34 - (1.5 * 10^4)/T and activation energy of C -> D reaction (Ea2) is 1/5th of the A -> B reaction (Ea1), then the value of (Ea2) is ____ kJ mol^-1. (Nearest Integer)

A. 57
B. 60
C. 50
D. 45

Correct answer & explanation hidden

Log in to view solution →