Q1
MATHS PAPER 2A
Unit 8: Integral Calculus
Let f(x) = ∫ (7x^9 + 9x^7)/(1 + x^2 + 2x^9)^2 dx, x > 0, with f(0) = 0 and f(1) = 1/4. If A = [[0, 1], [4, 1]] and B = adj(adj(A)) be such that |B| = 81, then 2α is equal to
- A. 2
- B. 3
- C. 1
- D. 4
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Q2
MATHS PAPER 2B
Unit 10: Co-ordinate Geometry
Let the length of the latus rectum of an ellipse x^2/a^2 + y^2/b^2 = 1, (a > b), be 30. If its eccentricity is the maximum value of the function f(t) = 2t^3 + t^2 - 4, then a^2 + b^2 is equal to
- A. 516
- B. 256
- C. 496
- D. 276
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Q3
MATHS PAPER 2B
Unit 10: Co-ordinate Geometry
Let the angles made with the positive x-axis by two straight lines drawn from the point P(2, 3) and meeting the line x + y = 6 at a distance 2/3 from the point P be θ1 and θ2. Then the value of (θ1 + θ2) is:
- A. π/12
- B. π/6
- C. π/2
- D. π/3
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Q5
MATHS PAPER 2A
Unit 6: Sequence and Series
Let α1, α2, α3, α4 be an A.P. of four terms such that each term and its common difference λ are integers. If α1 + α2 + α3 + α4 = 48 and α1α2α3α4 + λ^4 = 361, then the largest term of the A.P. is equal to
- A. 27
- B. 24
- C. 21
- D. 23
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Q6
MATHS PAPER 2B
Unit 10: Co-ordinate Geometry
Let the image of parabola x^2 = 4y in the line x - y = 1 be (y + a)^2 = b(x + c), a, b, c ∈ N. Then a + b + c is equal to
- A. 12
- B. 4
- C. 6
- D. 8
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Q6
MATHS
Unit 10: Co-ordinate Geometry
Let the image of parabola x^2 = 4y in the line x - y + 1 = 0 be (y + a)^2 = b(x + c), a, b, c ∈ N. Then a + b + c is equal to
- A. 12
- B. 4
- C. 6
- D. 8
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Q7
MATHS PAPER 2B
Unit 6: Sequence and Series
(1/3 + 4/7) + (1/3 + 4/7) * (1/3 + 4/7)^2 + ... upto infinite terms is equal to
- A. 5/2
- B. 7/4
- C. 4/3
- D. 6/5
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Q7
MATHS
Unit 6: Sequence and Series
The sum of the infinite series [(1/3 + 4/7) + (1/3^2 + 4/7^2) + (1/3^3 + 4/7^3) + ... + (1/3^n + 4/7^n) + ...] is equal to:
- A. 5/2
- B. 7/4
- C. 4/3
- D. 6/5
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Q8
MATHS
Unit 3: Matrices and Determinants
Let P = [p_ij] and Q = [q_ij] be two square matrices of order 3 such that q_ij = (i+j-1)^2 p_ij and det Q = 10. Then the value of det(adj(adj P)) is:
- A. 32
- B. 16
- C. 81
- D. 124
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Q9
MATHS
Unit 4: Permutations and Combinations
The letters of the word 'UDAYPUR' are written in all possible ways with or without meaning and these words are arranged as in a dictionary. The rank of the word 'UDAYPUR' is:
- A. 1580
- B. 1578
- C. 1579
- D. 1581
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Q10
CHEMISTRY
Unit 1: Some Basic Concepts in Chemistry
The largest value of n, for which n^40 divides 60!, is
- A. 13
- B. 11
- C. 12
- D. 14
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Q11
MATHS
Unit 11: Three Dimensional Geometry
The sum of all values of α, for which the shortest distance between the lines (x+1)/α = (y-2)/1 = (z-4)/-1 and (x-2)/1 = (y+1)/-α = (z-1)/2 is √2, is
- A. 8
- B. -6
- C. 6
- D. -8
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Q12
MATHS
Unit 8: Integral Calculus
Let f(α) denote the area of the region in the first quadrant bounded by x=0, x=1, y=x^2 and y=x^2-α-1-x^2+αx+α. Then (f(0) + f(1)) is equal to
- A. 9
- B. 14
- C. 7
- D. 12
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Q13
MATHS
Unit 1: Sets Relations and Functions
If the domain of the function f(x) = sin^-1(1/(x^2-2x-2)) is (-∞, α] ∪ [β, γ] ∪ [δ, ∞), then α + β + γ + δ is equal to
- A. 2
- B. 4
- C. 3
- D. 5
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Q13
MATHS
Unit 1: Sets Relations and Functions
If the domain of the function f(x) = sin^-1(1 / (x^2 - 2x - 2)) is (-infinity, alpha] U [beta, gamma] U [delta, infinity), then alpha + beta + gamma + delta is equal to
- A. 2
- B. 4
- C. 3
- D. 5
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Q14
MATHS
Unit 13: Statistics and Probability
Let X = {x in N : 1 <= x <= 19} and for some a, b in R, Y = {ax + b : x in X}. If the mean and variance of the elements of Y are 30 and 750, respectively, then the sum of all possible values of b is
- A. 20
- B. 80
- C. 100
- D. 60
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Q16
MATHS
Unit 9: Differential Equations
Let y = y(x) be a differentiable function in the interval (0, infinity) such that y(1) = 2 and lim_{t -> x} ((t^2 * y(x) - x^2 * y(t)) / (t - x)) = 3 for each x > 0. Then 2y(2) is equal to
- A. 18
- B. 23
- C. 27
- D. 12
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Q17
MATHS
Unit 1: Sets Relations and Functions
Let f be a function such that 3f(x) + 2f(15/x) = 19x, x != 0, where m = sum_{i=1}^{9} (i^2 / 2). Then f(5) - f(2) is equal to
- A. -9
- B. 36
- C. 18
- D. 9
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Q18
MATHS
Unit 2: Complex Numbers and Quadratic Equations
The smallest positive integral value of a, for which all the roots of x^4 - ax^2 + 9 = 0 are real and distinct, is equal to
↻ Repeated question — also appeared in
2026 (1 set)
- A. 9
- B. 3
- C. 4
- D. 7
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Q19
MATHS
Unit 12: Vector Algebra
Let a = 2i - 5j + 5k and b = i + j - 3k. If c is a vector such that (2a + 3b) x c = 0 and (a x b) . c = -97, then |c x k| is equal to
- A. 193
- B. 233
- C. 218
- D. 205
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Q19
MATHS
Unit 12: Vector Algebra
Let a_vector = 2i - 5j + 5k and b_vector = i - j + 3k. If c_vector is a vector such that (2a_vector x c_vector) + (3b_vector x c_vector) = 0 and (a_vector - b_vector) . c_vector = -97, then |c_vector x k| is equal to
- A. 193
- B. 233
- C. 218
- D. 205
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Q20
MATHS
Unit 7: Limit Continuity and Differentiability
Let [t] denote the greatest integer less than or equal to t. If the function f(x) = (b^sin^2(x) - 1)/(x^2) for x < 0; f(x) = (sin(x) + sin(2x))/(x^3) for x > 0; f(x) = a for x = 0 is continuous at x = 0, then a^2 + b^2 is equal to
- A. 5/8
- B. 9/16
- C. 3/4
- D. 1/2
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Q21
MATHS
Unit 8: Integral Calculus
If f(x) satisfies the relation f(x) = e^x + x * integral from 0 to 1 of f(y) dy + integral from 0 to x of y * f(y) dy, then e * f(0) is equal to.
- A. 2
- B. not provided
- C. not provided
- D. not provided
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Q22
MATHS
Unit 10: Co-ordinate Geometry
Let (h, k) lie on the circle C: x^2 + y^2 = 4 and the point (2h + 1, 3k + 2) lie on an ellipse with eccentricity e. Then the value of 5e^2 is equal to.
- A. 9
- B. not provided
- C. not provided
- D. not provided
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Q26
PHYSICS
Unit 12: Current Electricity
The reading of the ammeter (A) in steady state in the following circuit (assuming negligible internal resistance of the ammeter) is ____ A.
- A. 2
- B. 1
- C. 1/2
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Q27
PHYSICS
Unit 1: Units and Measurements
In a vernier callipers, 50 vernier scale divisions are equal to 48 main scale divisions. If one main scale division = 0.05 mm, then the least count of the vernier callipers is ____ mm.
- A. 0.002
- B. 0.05
- C. 0.02
- D. 0.005
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Q28
PHYSICS
Unit 16: Optics
Five persons P1, P2, P3, P4 and P5 recorded object distance (u) and image distance (v) using same convex lens having power +5 D as (25, 96), (30, 62), (35, 37), (45, 35) and (50, 32) respectively. Identify correct statement.
- A. Readings recorded by all persons are correct
- B. Reading recorded by P3 persons are incorrect
- C. Reading recorded by P3 and P2 persons are incorrect
- D. Reading recorded by P4 and P5 persons are incorrect
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Q29
PHYSICS
Unit 12: Current Electricity
A regular hexagon is formed by six wires each of resistance r Ω and the corners are joined to centre by wires of same resistance. If the current enters at one corner and leaves at the opposite corner, the equivalent resistance of the hexagon between the two opposite corners will be
- A. 4r/5
- B. 5r/8
- C. 3r/4
- D. 3r/5
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Q30
PHYSICS
Unit 4: Work Energy and Power
In case of vertical circular motion of a particle by a thread of length r if the tension in the thread is zero at an angle 30º shown in figure, the velocity at the bottom point (A) of the circular path is (g = gravitational acceleration)
- A. sqrt(5gr)
- B. sqrt(7gr/2)
- C. sqrt(4gr)
- D. sqrt(5gr/2)
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Q31
PHYSICS
Unit 5: Rotational Motion
A thin uniform rod (X) of mass M and length L is pivoted at a height (L/3) as shown in the figure. The rod is allowed to fall from a vertical position and lie horizontally on the table. The angular velocity of this rod when it hits the table top, is ____.
- A. sqrt(3g/2L)
- B. sqrt(3g/2L)
- C. sqrt(1g/2L)
- D. sqrt(3g/L)
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Q32
PHYSICS
Unit 13: Magnetic Effects of Current and Magnetism
Two identical circular loops P and Q each of radius r are lying in parallel planes such that they have common axis. The current through P and Q are I and 4I respectively in clockwise direction as seen from O. The net magnetic field at O is:
- A. μ0 * 3I / 4*2r
- B. μ0 * I / 4*2r
- C. μ0 * I / 4*2r
- D. μ0 * 3I / 4*2r
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Q33
PHYSICS
Unit 17: Dual Nature of Matter and Radiation
When a light of a given wavelength falls on a metallic surface the stopping potential for photoelectrons is 3.2 V. If a second light having wavelength twice of first light is used, the stopping potential drops to 0.7 V. The wavelength of first light is ____ m.
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- A. 2.9 * 10^-8
- B. 2.2 * 10^-8
- C. 3.1 * 10^-7
- D. 2.5 * 10^-7
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Q34
PHYSICS
Unit 10: Oscillations and Waves
The fifth harmonic of a closed organ pipe is found to be in unison with the first harmonic of an open pipe. The ratio of lengths of closed pipe to that of the open pipe is 5/x. The value of x is ____ .
- A. 4
- B. 2
- C. 1
- D. 3
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Q35
PHYSICS
Unit 11: Electrostatics
Three parallel plate capacitors each with area A and separation d are filled with two dielectric (k1 and k2) in the following fashion. Which of the following is true? (k1 > k2)
- A. Cc > Cb > Ca
- B. Cb > Cc > Ca
- C. Ca > Cc > Cb
- D. Ca > Cb > Cc
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Q36
PHYSICS
Unit 18: Atoms and Nuclei
The binding energy for the following nuclear reactions are expressed in MeV. 3/2He + n -> 4/2He + 20MeV; 4/2He + n -> 5/2He - 0.9MeV. If X3, X4, X5 denote the stability of 3/2He, 4/2He and 5/2He respectively, then the correct order is:
- A. X4 > X5 > X3
- B. X4 = X5 = X3
- C. X4 > X3 < X5
- D. X4 < X5 < X3
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Q37
PHYSICS
Unit 7: Properties of Solids and Liquids
A cubical block of density ρb = 600 kg/m^3 floats in a liquid of density ρe = 900 kg/m^3. If the height of block is H = 8.0 cm then height of the submerged part is ____ cm.
- A. 7.3
- B. 4.3
- C. 6.3
- D. 5.3
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Q38
PHYSICS
Unit 12: Current Electricity
A moving coil galvanometer of resistance 100Ω shows a full scale deflection for a current of 1 mA. The value of resistance required to convert this galvanometer into an ammeter, showing full scale deflection for a current of 5 mA, is ____ Ω
- A. 25
- B. 10
- C. 0.5
- D. 2.5
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Q39
PHYSICS
Unit 19: Electronic Devices
Identify the correct truth table of the given logical circuit.
- A. A=0,B=0,Y=0; A=0,B=1,Y=1; A=1,B=0,Y=1; A=1,B=1,Y=0
- B. A=0,B=0,Y=1; A=0,B=1,Y=0; A=1,B=0,Y=1; A=1,B=1,Y=0
- C. A=0,B=0,Y=1; A=0,B=1,Y=1; A=1,B=0,Y=1; A=1,B=1,Y=0
- D. A=0,B=0,Y=0; A=0,B=1,Y=0; A=1,B=0,Y=1; A=1,B=1,Y=0
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Q40
PHYSICS
Unit 3: Laws of Motion
A flexible chain of mass m hangs between two fixed points at the same level. The inclination of the chain with the horizontal at the two points of support is 30º. Considering the equilibrium of each half of the chain, the tension of the chain at the lowest point is ____ .
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- A. mg / (2*sqrt(3))
- B. mg / 2
- C. mg
- D. 3mg
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Q41
PHYSICS
Unit 16: Optics
A point source is kept at the center of a spherically enclosed detector. If the volume of the detector increased by 8 times, the intensity will
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- A. increase by 8 times
- B. increase by 64 times
- C. decrease by 8 times
- D. decrease by 4 times
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Q42
PHYSICS
Unit 16: Optics
In the Young's double slit experiment the intensity produced by each one of the individual slits is I0. The distance between two slits is 2 mm. The distance of screen from slits is 10 m. The wavelength of light is 6000 Å. The intensity of light on the screen in front of one of the slits is ____ .
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- A. 2I0
- B. I0
- C. I0 / 2
- D. 4I0
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Q43
PHYSICS
Unit 8: Thermodynamics
10 mole of an ideal gas is undergoing the process shown in the figure. The heat involved in the process from P1 to P2 is α Joule (P1 = 21.7 Pa and P2 = 30 Pa, Cv = 21 J/K.mol, R = 8.3 J/mol.K). The value of α is ____.
- A. 24
- B. 15
- C. 21
- D. 28
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Q44
PHYSICS
Unit 2: Kinematics
The velocity (v) - Distance (x) graph is shown in figure. Which graph represents acceleration (a) versus distance (x) variation of this system?
- A. Graph 1
- B. Graph 2
- C. Graph 3
- D. Graph 4
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Q45
PHYSICS
Unit 16: Optics
Distance between an object and three times magnified real image is 40 cm. The focal length of the mirror used is ____ cm.
- A. -15/2
- B. -10
- C. -20
- D. -15
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Q47
PHYSICS
Unit 11: Electrostatics
A point charge q = 1 μC is located at a distance 2 cm from one end of a thin insulating wire of length 10 cm having a charge Q = 24 μC, distributed uniformly along its length. Force between q and wire is ____ N.
- A. 60
- B. 80
- C. 90
- D. 100
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Q48
PHYSICS
Unit 12: Current Electricity
In a meter bridge experiment to determine the value of unknown resistance, first the resistances 2Ω and 3Ω are connected in the left and right gaps of the bridge and the null point is obtained at a distance cm from the left. Now when an unknown resistance xΩ is connected in parallel to 3Ω resistance, the null point is shifted by 10 cm to the right. The value of unknown resistance x is ____ Ω.
- A. 2
- B. 4
- C. 6
- D. 8
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Q49
PHYSICS
Unit 5: Rotational Motion
A uniform solid cylinder of length L and radius R has moment of inertia about its axis equal to I1. A small co-centric cylinder of length L/2 and radius R/3 carved from this cylinder has moment of inertia about its axis equals to I2. The ratio I1/I2 is ____.
- A. 81
- B. 162
- C. 243
- D. 324
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Q50
PHYSICS
Unit 7: Properties of Solids and Liquids
A soap bubble of surface tension 0.04 N / m is blown to a diameter of 7 cm. If (15000 x J - μ) of work is done in blowing it further to make its diameter 14 cm, then the value of x is ____.
- A. 11304
- B. 22608
- C. 5652
- D. 45216
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Q51
CHEMISTRY
Unit 10: p-Block Elements
Choose the INCORRECT statement:
- A. Among the isotopes of carbon, 13C is a radioactive isotope.
- B. Carbon exhibits negative oxidation states along with +4 and +2.
- C. Carbon cannot exceed its covalency more than four.
- D. CO2 is the most acidic oxide among the dioxides of group of 14 elements.
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Q53
CHEMISTRY
Unit 19: Biomolecules
The number of possible tripeptides formed involving alanine (ala), glycine (gly) and valine (val), where no amino acid has been used more than once is:
- A. 6
- B. 3
- C. 4
- D. 8
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Q54
CHEMISTRY
Unit 5: Solutions
Two liquids A and B form an ideal solution at temperature T K. At T K, the vapour pressures of pure A and B are 55 and 15 kN/m² respectively. What is the mole fraction of A in solution of A and B in equilibrium with a vapour in which the mole fraction of A is 0.8?
- A. 0.5217
- B. 0.480
- C. 0.663
- D. 0.340
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Q55
CHEMISTRY
Unit 6: Equilibrium
Consider the following gaseous equilibrium in a closed container of volume V at T K: P2(g) + Q2(g) ⇌ 2PQ(g). 2 moles each of P2(g), Q2(g) and PQ(g) are present at equilibrium. Now one mole each of P2 and Q2 are added to the equilibrium keeping the temperature at T K. The number of moles of P2, Q2 and PQ at the new equilibrium, respectively, are:
- A. 2.67, 2.67, 2.67
- B. 1.21, 2.24, 1.56
- C. 1.66, 1.66, 1.66
- D. 2.56, 1.62, 2.24
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Q56
CHEMISTRY
Unit 3: Chemical Bonding and Molecular Structure
Pair of species among the following having same bond order as well as paramagnetic character will be-
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- A. O2+, N2-
- B. O2-, N2+
- C. O2+, N2-
- D. O2-, N2-
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Q57
CHEMISTRY
Unit 12: Coordination Compounds
The wavelength of light absorbed for the following complexes are in the order: (I) [Co(NH3)6]3+, (II) [Co(H2O)6]3+, (III) [Co(CN)6]3-, (IV) [Co(NH3)5H2O]3+, (V) [CoF6]3-
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- A. III < I < II < IV < V
- B. III < I < IV < V < II
- C. III < IV < I < II < V
- D. III < I < IV < II < V
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Q58
CHEMISTRY
Unit 7: Redox Reactions and Electrochemistry
One mole of Cl2(g) was passed into 2 L of cold 2 M KOH solution. After the reaction, the concentrations of Cl-, ClO- and OH- are respectively (assume volume remains constant)
- A. 0.75M, 0.75M, 1M
- B. 0.5M, 0.5M, 0.5M
- C. 0.5M, 0.5M, 1M
- D. 1M, 1M, 1M
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Q60
CHEMISTRY
Unit 14: Some Basic Principles of Organic Chemistry
Find out the statements which are not true. A. Resonating structure with more number of covalent bonds and lesser charge separation are more stable. B. In electromeric effect, an unsaturated system shows +E effect with nucleophile and -E effect with electrophile. C. Inductive effect is responsible for high melting point, boiling point and dipole moment of polar compounds. D. The greater the number of alkyl groups attached to the doubly bonded carbon atoms, higher is the heat of hydrogenation. E. Stability of carbanion increases with the increase in s-character of the carbon carrying the negative charge.
- A. A, D & E only
- B. B, D & E only
- C. A, C & D only
- D. B & D only
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Q61
CHEMISTRY
Unit 9: Classification of Elements and Periodicity in Properties
The correct order of C, N, O and F in terms of second ionisation potential is
- A. F < N < C < O
- B. C < O < N < F
- C. C < N < F < O
- D. C < F < N < O
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Q62
CHEMISTRY
Unit 20: Principles Related to Practical Chemistry
In the Group analysis of cations, Ba2+ & Ca2+ are precipitated respectively as
- A. sulphide & sulphide
- B. hydroxide & carbonate
- C. carbonate & carbonate
- D. chromate & sulphide
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Q63
CHEMISTRY
Unit 2: Atomic Structure
The wavelength of spectral line obtained in the spectrum of Li2+ ion, when the transition takes place between two levels whose sum is 4 and difference is 2, is
- A. 2.28 * 10^-7 cm
- B. 2.28 * 10^-6 cm
- C. 1.14 * 10^-7 cm
- D. 1.14 * 10^-6 cm
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Q64
CHEMISTRY
Unit 14: Some Basic Principles of Organic Chemistry
Given below are two statements:
Statement I: Cross aldol condensation between two different aldehydes will always produce four different products.
Statement II: When semicarbazide reacts with a mixture of benzaldehyde and acetophenone under optimum pH, it forms a condensation product with acetophenone only.
In the light of the above statements, choose the correct answer from the options given below:
- A. Both Statement I and Statement II are false
- B. Statement I is false but Statement II is true
- C. Both Statement I and Statement II are true
- D. Statement I is true but Statement II is false
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Q65
CHEMISTRY
Unit 18: Organic Compounds Containing Nitrogen
Given below are two statements:
Statement I: The dipole moment of R-CN is greater than R-NC and R-NC can undergo hydrolysis under acidic medium to produce R-NH2 and HCOOH.
Statement II: R-CN hydrolyses under acidic medium to produce a compound which on treatment with SOCl2, followed by the addition of NH3 gives another compound (x). This compound (x) on treatment with NaOCl / NaOH gives a product, that on treatment with CHCl3 / KOH / Δ produces R-NC.
In the light of the above statements, choose the correct answer from the options given below:
- 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
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Q67
CHEMISTRY
Unit 4: Chemical Thermodynamics
The heat of atomisation of methane and ethane are 'x' kJ/mol and 'y' kJ/mol respectively. The longest wavelength (λ) of light capable of breaking the C-C bond can be expressed in SI unit as:
- A. hc / [1000 * (4y - 6x) / 4]
- B. (N_A * hc) / [250 * (4y - 6x)]
- C. (N_A * hc) / [250 * (y - 6x)]
- D. (1/A) * [6x - N_A * hc * y / 4]
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Q68
CHEMISTRY
Unit 5: Solutions
At 298 K, the mole percentage of N2(g) in air is 80%. Water is in equilibrium with air at a pressure of 10 atm. What is the mole fraction of N2(g) in water at 298 K? (K_H for N2 is 6.5 * 10^7 mmHg)
- A. 1.23 * 10^-7
- B. 1.17 * 10^-4
- C. 9.35 * 10^5
- D. 9.35 * 10^-5
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Q69
CHEMISTRY
Unit 11: d- and f-Block Elements
"X" is an oxoanion of the lightest element of group 7. The metal is in +6 oxidation state in "X". The color of the potassium salt of X is:
- A. green
- B. purple
- C. yellow
- D. orange
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Q70
CHEMISTRY
Unit 14: Some Basic Principles of Organic Chemistry
Given below are two statements:
Statement I: There are several conformers for n-butane. Out of those conformers, fully eclipsed is the least stable and anti (staggered) is the most stable conformer.
Statement II: As the dihedral angle increases, torsional strain decreases from fully eclipsed to staggered (anti) conformation.
In the light of the above statements, choose the correct answer from the options given below:
- A. Both Statement I and Statement II are false
- 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 true
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Q71
CHEMISTRY
Unit 13: Purification and Characterisation of Organic Compounds
0.25 g of an organic compound "A" containing carbon, hydrogen and oxygen was analysed using the combustion method. There was an increase in mass of CaCl2 tube and potash tube at the end of the experiment. The amount was found to be 0.15 g and 0.1837 g , respectively. The percentage of oxygen in compound A is ____ %. (Nearest integer) (Given : molar mass in gmol-1 H :1, C :12, O :16)
- A. 73
- B. 75
- C. 68
- D. 80
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Q72
PHYSICS
Unit 18: Atoms and Nuclei
The half-life of 65Zn is 245 days. After x days, 75% of original activity remained. The value of x in days is ____ . (Nearest integer) (Given : log3 ≈ 0.4771 and log2 ≈ 0.3010)
- A. 100
- B. 102
- C. 105
- D. 110
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Q74
CHEMISTRY
Unit 6: Equilibrium
Molar conductivity of a weak acid HQ of concentration 0.18 M was found to be 1/30 of the molar conductivity of another weak acid HZ with concentration of 0.02 M. If λ0HQ = λ0HZ, then the difference of the pKa values of the two weak acids (pKa(HQ) - pKa(HZ)) is ____ (Nearest integer). [Given: degree of dissociation (α) << 1 for both weak acids]
- A. 1
- B. 2
- C. 3
- D. 4
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Q75
CHEMISTRY
Unit 17: Organic Compounds Containing Oxygen
Grignard reagent RMgBr (P) reacts with water and forms a gas (Q). One gram of Q occupies 1.4 dm3 at STP. (P) on reaction with dry ice in dry ether followed by H3O+ forms a compound (Z). 0.1 mole of (Z) will weigh ____ g. (Nearest integer)
- A. 4
- B. 5
- C. 6
- D. 7
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