Let the arithmetic mean of (1)/(a) and (1)/(b) be (5)/(16) , a>2 . if α is such that a,4,α ,b are in A.P., then the equation α x^2-ax+2(α-2b)=0 has :

One root in (1, 4) and another in (-2, 0)

JEE Main 2026 January 28, Shift 2 Question Paper with Solutions

All 75 questions from the JEE Main 2026 (January 28, Shift 2) shift — Physics (25), Chemistry (25) and Mathematics (25) — 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.

Physics PYQs 2026 Chemistry PYQs 2026 Mathematics PYQs 2026

Physics25 questions

Q26Single correctKinetic Theory of Gases

The mean free path of a molecule of diameter

5 \times 1 0^{- 10} m

at the temperature

4 1^{0} C

and pressure

1.38 \times 1 0^{5}

Pa, is given as___ m .(Given

k_{β} = 1.38 \times 1 0^{- 23} J / K

(A)

102 \times 1 0^{- 8}

(B)

22 \times 1 0^{- 10}

(C)

22 \times 1 0^{- 8}

(D)

2 \times 1 0^{- 8}

Q27Single correctOscillations and Waves

As shown in figure, a spring is kept in a stretched position with some extension by holding the masses 1 kg and 0.2 kg with a separation more than spring natural length and are released. Assuming the horizontal surface to be frictionless, the angular frequency (in SI unit) of the system:

A horizontal spring of force constant k = 150 N/m connects a 1 kg block on the left to a 200 g block on the right, both resting on a horizontal frictionless surface.

(A)

5

(B)

30

(C)

27

(D)

20

Q28Single correctElectrostatics

Identify the correct statements:
A. Effective capacitance of a series combination of capacitors is always smaller than the smallest capacitance of the capacitor in the combination.
B. When a dielectric medium is placed between the charged plates of a capacitor, displacement of charges cannot occur due to insulation property of dielectric.
C. Increasing of area of capacitor plate or decreasing of thickness of dielectric is an alternate method to increase the capacitance.
D. For a point charge, concentric spherical shells centred at the location of the charge are equipotential surfaces.
Choose the correct answer from the options given below:

(A)

C and D Only

(B)

B and D Only

(C)

A,B and C Only

(D)

A,C and D Only

Q29Single correctDual Nature of Matter and Radiation

Number of photons of equal energy emitted per second by a 6 mW laser source operating at 663 nm is_______(Given:

h = 6.63 \times 1 0^{- 34} J . S

and

c = 3 \times 1 0^{8} m / s

)

(A)

10 \times 1 0^{15}

(B)

2 \times 1 0^{16}

(C)

5 \times 1 0^{15}

(D)

5 \times 1 0^{16}

Q30Single correctElectrostatics

Which one of the following is not a measurable quantity?

(A)

Voltage

(B)

Displacement current

(C)

Resistance

(D)

Voltage difference

Q31Single correctUnits and Measurements

Match List - I with List - II.
Choose the correct answer from the given options given below:

List – I	List – II
A. Coefficient of viscosity	I. $[M L^{- 1} T^{- 2}]$
B. Surface tension	II. $[M L^{2} T^{- 2}]$
C. Pressure	III. $[M L^{0} T^{- 2}]$
D. Surface energy	IV. $[M L^{- 1} T^{- 1}]$

(A)

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

(B)

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

(C)

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

(D)

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

Q32Single correctLaws of Motion

A small block of mass m slides down from the top of a frictionless inclined surface, while the inclined plane is moving towards left with constant acceleration

a_{0}

. The angle between the inclined plane and ground is

θ

and its base length is L. Assuming that initially the small block is at the top of the inclined plane, the time it takes to reach the lowest point of the inclined plane is _____

A right-triangle wedge with its right angle at the top right; the inclined hypotenuse runs from bottom-left up to top-right. An arrow labelled a_0 points left from the upper region, the base angle at the bottom-left is theta, and the horizontal base is labelled L with a double-headed arrow.

(A)

\frac{4 L}{g sin 2 θ - a _{0} ( 1 + cos 2 θ )}

(B)

\frac{2 L}{g sin θ - a _{0} cos θ}

(C)

\frac{2 L}{g sin 2 θ - a _{0} ( 1 + cos 2 θ )}

(D)

\frac{4 L}{g cos ^{2} θ - a _{0} sin θ cos θ}

Q33Single correctMagnetic Effects of Current and Magnetism

A long cylindrical conductor with large cross section carries an electric current distributed uniformly over its cross-section. Magnetic field due to this current is:
A. maximum at either ends of the conductor and minimum at the midpoint
B. maximum at the axis of the conductor
C. minimum at the surface of the conductor
D. minimum at the axis of the conductor
E. same at all points in the cross-section of the conductor
Choose the correct answer from the options given below:

(A)

A, D Only

(B)

E Only

(C)

D Only

(D)

B,C Only

Q34Single correctKinematics

A particle starts moving from time t=0 and its coordinate is given as

x (t) = 4 t^{3} - 3 t

A. The particle returns to its original position (origin) 0.866 units later
B. The particle is 1 unit away from origin at its turning point
C. Acceleration of the particle is non-negative
D. The particle is 0.5 units away from origin at its turning point
E. Particle never turns back as acceleration is non-negative
Choose the correct answer from the options given below:

(A)

A, B, C Only

(B)

A, C Only

(C)

A, C, D Only

(D)

C,E Only

Q35Single correctElectromagnetic Waves

A plane electromagnetic wave is moving in free space with velocity

c = 3 \times 1 0^{8} m / s

and its electric field is given as

E = 54 sin (k z - wt) j T V / m

, where j is the unit vector along y-axis. The magnetic field vector B of the wave is :

(A)

- 1.8 \times 1 0^{- 7} sin (k z - wt) i T

(B)

1.4 \times 1 0^{- 7} sin (k z - wt) k T

(C)

+ 1.8 \times 1 0^{- 7} sin (k z - wt) i T

(D)

1.4 \times 1 0^{- 7} sin (k z - wt) i T

Q36Single correctRotational Motion

When the position

r = x i + y j + z k

changes sign as

- r

, which one of the following vector will not flip under sign change?

(A)

Velocity

(B)

Acceleration

(C)

Linear momentum

(D)

Angular momentum

Q37Single correctUnits and Measurements

In an experiment, a set of reading are obtained as follows -1.24 mm, 1.25 mm, 1.23 mm, 1.21 mm. The expected least count of the instrument used in recording these readings is _____mm

(A)

0.1

(B)

0.01

(C)

0.001

(D)

0.05

Q38Single correctAtoms and Nuclei

A nucleus has mass number

α

and radius

R_{α}

. Another nucleus has mass number

β

and radius

R_{β}

. If

β = 8 α

then

R_{α} / R_{β}

(A)

2

(B)

8

(C)

0.5

(D)

1

Q39Single correctCurrent Electricity

A Wheatstone bridge is initially at room temperature and all arms of the bridge have same value of resistances

(R_{1} = R_{2} = R_{3} = R_{4})

. When

R_{3}

resistance is heated to some temperature, its resistance value has gone up by 10%. The potential difference

(V_{a} - V_{b})

(after

R_{3}

is heated) is_____ V

A Wheatstone bridge drawn as a diamond. Top-left arm R1 and bottom-left arm R2 meet at the left node labelled V_a; top-right arm R3 and bottom-right arm R4 meet at the right node labelled V_b. The bridge is connected to a 40 V source on the right side.

(A)

0

(B)

1.05

(C)

2

(D)

0.95

Q40Single correctElectronic Devices

Two p-n junction diodes

D_{1}

and

D_{2}

are connected as shown in figure. A and B are input signal and C is the output. The given circuit will function as a____

A diode logic circuit. A supply V_dc = 5V at top connects through a resistor R to a common output node C on the right. Input A connects through diode D1 (anode at A, pointing toward the common node) to the node; input B connects through diode D2 (anode at B, pointing toward the common node) to the same node. The common junction of the two diode cathodes and the resistor is the output C.

(A)

NOR Gate

(B)

NAND Gate

(C)

AND Gate

(D)

OR Gate

Q41Single correctOptics

A biconvexlens is formed by using two thin planoconvex lenses, as shown in the figure. The refractive index and radius of curved surfaces are also mentioned in figure. When an object is placed on the left side of lens at a distance of 30 cm from the biconvex lens, the magnification of the image will be :

$A vertical biconvex lens formed by joining two thin plano-convex lenses. The left plano-convex component has refractive index mu = 1.5 with its curved surface of radius 15 cm (arrow pointing up to the left curved face), and the right plano-convex component has refractive index mu = 1.2 with its curved surface of radius 12 cm (arrow pointing up to the right curved face). The radii 15 cm and 12 cm are labelled below the lens with upward arrows.$

(A)

+ 2

(B)

- 2.5

(C)

- 2

(D)

+ 2.5

Q42Single correctUnits and Measurements

The time period of simple harmonic oscillator

T = 2 π \frac{k}{m}

.Measured value of mass (m) of the object is 10 g with an accuracy of 10 mg and time for 50 oscillations of the spring is found to be 60 s using a watch of 2 s resolution. Percentage error in determination of spring constant (k) is_____ %

(A)

6.76

(B)

3.35

(C)

3.43

(D)

7.60

Q43Single correctElectrostatics

Identify the correct statements:
A. Electrostatic field lines form closed loops.
B. The electric field lines point radially outward when charge is greater than zero.
C. The Gauss - Law is valid only for inverse - square force.
D. The workdone in moving a charged particle in a static electric field around a closed path is zero.
E. The motion of a particle under Coulomb's force must take place in a plane.
Choose the correct answer from the options given below:

(A)

A, C, E Only

(B)

B, C, D, E Only

(C)

A, B, C, D Only

(D)

A, B, D, E Only

Q44Single correctOptics

For a transparent prism, if the angle of minimum deviation is equal to its refracting angle, the refractive index n of the prism satisfies.

(A)

2 < n < 2

(B)

n \geq 2

(C)

1 < n < 2

(D)

2 < n < 22

Q45Single correctOscillations and Waves

The speed of a longitudinal wave in a metallic bar is 400 m/s. If the density and Young's modulus of the bar material are increased by 0.5% and 1%, respectively then the speed of the wave is changed approximately to m/s.

(A)

402

(B)

398

(C)

401

(D)

399

Q46NumericalElectromagnetic Induction and Alternating Currents

An inductor stores 16 J of magnetic field energy and dissipates 32 W of thermal energy due to its resistance when an a.c. current of 2 A (rms) and frequency 50 Hz flows through it. The ratio of inductive reactance to its resistance is. (

π

=3.14)

Q47NumericalThermodynamics

A thermodynamic system is taken through the cyclic process ABC as shown in the figure. The total work done by the system during the cycle ABC is _____J.

A pressure-volume diagram with P (Pa) on the vertical axis and V (m^3) on the horizontal axis. Point A is at (2, 100), point C is at (5, 100), and point B is at (5, 300). The cycle is the triangle A to B to C: a slanted line goes from A up to B, a vertical line goes from B down to C, and a horizontal line returns from C to A. Dashed guide lines mark P = 100 and P = 300 on the vertical axis and V = 2 and V = 5 on the horizontal axis.

Q48NumericalRotational Motion

A fly wheel having mass 3 kg and radius 5 m is free to rotate about a horizontal axis. A string having negligible mass is wound around the wheel and the loose end of the string is connected to 3 kg mass. The mass is kept at rest initially and released. Kinetic energy of the wheel when the mass descends by 3 m is J. (g=10 m/

s^{2}

)

Q49NumericalOptics

A beam of light consisting of wavelengths 650 nm and 550 nm illuminates the Young's double slits with separation of 2 mm such that the interference fringes are formed on a screen, placed at a distance of 1.2 m from the slits. The least distance of a point from the central maximum, where the bright fringes due to both the wavelengths coincide, is

\times 1 0^{- 5} m

Q50NumericalOscillations and Waves

Two tuning forks A and B are sounded together giving rise to 8 beats in 2 s. When fork A is loaded with wax, the beat frequency is reduced to 4 beats in 2 s. If the original frequency of tuning fork B is 380 Hz then the original frequency of tuning fork A is ______Hz

Chemistry25 questions

Q51Single correctp-Block Elements

Consider the following reactions

N a_{2} B_{4} O_{7} Δ 2 X + Y

C u S O_{4} + Y Non-Luminous flame Z + S O_{3}

2 Z + 2 X + C a r b o n Luminous flame 2 Q + N a_{2} B_{4} O_{7} + CO

The oxidation states of Cu in Z and Q, respectively are:

(A)

+ 1

and

+ 1

(B)

+ 1

and

+ 2

(C)

+ 2

and

+ 2

(D)

+ 2

and

+ 1

Q52Single correctp-Block Elements

Given below are two statements:
Statement I: The increasing order of boiling point of hydrogen halides is

H Cl < H B r < H F

Statement II: The increasing order of melting point of hydrogen halides is

H Cl < H B r < H F < H I

In the light of the above statements, choose the correct answer from the options given below:

(A)

Statement I is true but Statement II is false

(B)

Both Statement I and Statement II are true

(C)

Statement I is false but Statement II is true

(D)

Both Statement I and Statement II are false

Q53Single correctCoordination Compounds

The correct increasing order of spin-only magnetic moment values of the complex ions

[MnBr_{4}]^{2 -} (A), [C u (H_{2} O)_{6}]^{2 +} (B), [N i (CN)_{4}]^{2 -} (C)

and

[N i (H_{2} O)_{6}]^{2 +} (D)

is:

(A)

C = D < B < A

(B)

A = B < C < D

(C)

C < B < D < A

(D)

A = B < D < C

Q54Single correctClassification of Elements and Periodicity in Properties

Consider the elements N, P, O, S, Cl and F. The number of valence electrons present in the elements with most and least metallic character from the above list is respectively.

(A)

5

and

6

(B)

5

and

7

(C)

6

and

7

(D)

7

and

5

Q55Single correctAtomic Structure

The wavelength of photon 'A' is

400

nm. The frequency of photon 'B' is

1 0^{16} s^{- 1}

. The wave number of photon 'C' is

1 0^{4} c m^{- 1}

. The correct order of energy of these photons is:

(A)

A > C > B

(B)

A > B > C

(C)

C > B > A

(D)

B > A > C

Q56Single correctSolutions

Consider the following aqueous solutions.
I.2.2 g Glucose in 125 mL of solution.
II.1.9 g Calcium chloride in 250 mL of solution.
III.9.0 g Urea in 500 mL of solution.
IV.20.5 g Aluminium sulphate in 750 mL of solution.
The correct increasing order of boiling point of these solutions will be:
[Given: Molar mass in g

mol^{- 1}

H = 1, C = 12, N = 14, O = 16, Cl = 35.5, C a = 40, A l = 27

and

S = 32

]

(A)

I < II < III < I V

(B)

III < I < II < I V

(C)

II < III < I V < I

(D)

II < III < I < I V

Q57Single correctOrganic Compounds Containing Nitrogen

A student performed analysis of aliphatic organic compound 'X' which on analysis gave

C = 61.01%, H = 15.25%, N = 23.74

%
This compound, on treatment with

HNO_{2} / H_{2} O

produced another compound 'Y' which did not contain any nitrogen atom. However, the compound 'Y' upon controlled oxidation produced another compound 'Z' that responded to Iodoform test. The structure of 'X' is:

(A)

Butan-2-amine drawn as CH3-CH2CH-CH3 with an NH2 branch on the second carbon

(B)

1-phenylethylamine drawn as Ph-CH-NH2 with a CH3 branch on the carbon

(C)

Isopropylamine drawn as two CH3 groups on a CH-NH2 centre

(D)

Propan-1-amine drawn as the condensed formula CH3CH2CH2NH2 in italic typeset, with no bonds drawn.

Q58Single correctEquilibrium

Observe the following equilibrium in a 1 L flask.

A (g) ⇌ B (g)

At T (K), the equilibrium concentrations of A and B are 0.5 M and 0.375 M respectively. 0.1 moles of A is added into the flask and heated to T (K) to establish the equilibrium again. The new equilibrium concentrations (in M) of A and B are respectively

(A)

0.367, 0.275

(B)

0.53, 0.4

(C)

0.557, 0.418

(D)

0.742, 0.557

Q59Single correctPurification and Characterisation of Organic Compounds

A student has been given 0.314 g of an organic compound and asked to estimate Sulphur. During the experiment, the student has obtained 0.4813 g of barium sulphate. The percentage of sulphur present in the compound is_________. (Given Molar mass in g

mol^{- 1} S : 32, BaSO_{4} : 233

)

(A)

21.05%

(B)

63.15%

(C)

48.24%

(D)

42.10%

Q60Single correctSome Basic Concepts in Chemistry

For the given reaction;

CaCO_{3} + 2 HCl \to CaCl_{2} + H_{2} O + C O_{2}

If 90 g

CaCO_{3}

is added to 300 mL of HCl which contains 38.55% HCl by mass and has density 1.13 g

m L^{- 1}

, then which of the following option is correct?
Given molar mass of H, Cl, Ca and O are 1, 35.5, 40 and 16g

mol^{- 1}

respectively.

(A)

32.85

g of

CaCO_{3}

remains unreacted

(B)

60.32

g of

H Cl

remains unreacted

(C)

97.30

g of

H Cl

reacted

(D)

64.97

g of

H Cl

remains unreacted

Q61Single correctHydrocarbons

Identify the correct statements:
The presence of

- N O_{2}

group in benzene ring
A. Activates the ring towards electrophilic substitutions.
B. deactivates the ring towards electrophilic substitutions.
C. activates the ring towards nucleophilic substitutions.
D. deactivates the ring towards nucleophilic substitutions.
Choose the correct answer from the options given below:

(A)

A and D only

(B)

B and D only

(C)

C and A only

(D)

B and C only

Q62Single correctChemical Thermodynamics

The plot of

lo g_{10} K

\frac{1}{T}

gives a straight line. The intercept and slope respectively are (Where K is equilibrium constant).

(A)

- \frac{Δ S ^{o} R}{2.303}, \frac{Δ H ^{o} R}{2.303}

(B)

\frac{2.303 R}{Δ H ^{o}}, \frac{2.303 R}{Δ S ^{o}}

(C)

\frac{Δ S ^{o}}{2.303 R}, - \frac{Δ H ^{o}}{2.303 R}

(D)

- \frac{Δ H ^{o}}{2.303 R}, \frac{Δ S ^{o}}{2.303 R}

Q63Single correctHydrocarbons

The reactions which produce alcohol as the product are:
A.

C H_{4} + O_{2} M o_{2} O_{3} Δ

2 C H_{3} C H_{3} + 3 O_{2} (C H_{3} COO)_{2} M n Δ

(C H_{3})_{3} C H K M n O_{4}

2 C H_{4} + O_{2} C u /523 K /100 a t m .

C H_{3} - C H = C H - C H_{3} K M n O_{4} / H^{+}

Choose the correct answer from the options given below:

(A)

C and D only

(B)

B, D and E only

(C)

A and D only

(D)

A, C and D only

Q64Single correctBiomolecules

Structures of four disaccharides are given below. Among the given disaccharides, the non-reducing sugar is:

(A)

Haworth disaccharide of two pyranose (six-membered, single ring O) rings joined by a glycosidic O bridge; both ring anomeric carbons are linked through the bridge and each ring retains a free hemiacetal type linkage (reducing)

(B)

Haworth disaccharide of two pyranose rings joined by a glycosidic O bridge in a different orientation; a free anomeric hemiacetal centre remains (reducing)

(C)

Haworth disaccharide of two pyranose rings joined by a glycosidic O bridge; a free anomeric hemiacetal centre remains (reducing)

(D)

Haworth disaccharide of a pyranose (six-membered) ring on the left joined through an O bridge to a furanose (five-membered) ring bearing a CH2 group on the right, sucrose-type, with both anomeric carbons engaged in the glycosidic linkage so there is no free hemiacetal (non-reducing)

Q65Single correctd- and f-Block Elements

Consider the following statements about manganite and permanganate ions. Identify the correct statements.
A. The geometry of both manganate and permanganate ions is tetrahedral.
B. The oxidation states of Mn in manganate and permanganate are +7 and +6, respectively.
C. Oxidation of Mn(II) salt by peroxodisulphate gives manganate ion as the final product.
D. Manganate ion is paramagnetic and permanganate ion is diamagnetic.
E. Acidified permanganate ion reduces oxalate, nitrite and iodide ions.
Choose the correct answer from the options given below:

(A)

A, C and D only

(B)

A, D and E only

(C)

A, B and C only

(D)

A and D only

Q66Single correctOrganic Compounds Containing Oxygen

The correct order of acidic strength of the major products formed in the given reaction, is:
A.

PhNH_{2} (1) N a N O_{2} + H Cl (< 5^{o} C) (2) CuCN, (3) H_{3} O^{+} /Δ [A]

C H_{3} C H_{2} CHO [A g (N H_{3})_{2}]^{+}, O H^{-} Δ [B]

C H_{4} + O_{2} (i) M o_{2} O_{3} (ii) N a_{2} C r_{2} O_{7} / H^{+} [C]

P h C H_{2} M g B r + C O_{2} Dry ether H_{3} O^{+} [D]

Choose the correct answer from the options given below:

(A)

C > B > A > D

(B)

A > D > C > B

(C)

C > A > D > B

(D)

A > D > B > C

Q67Single correctSome Basic Principles of Organic Chemistry

The cyclic cations having the same number of hyperconjugation are:

Four labelled cyclohexyl carbocations A, B, C and D; each is a six-membered carbon ring carrying a positive charge on one ring carbon with alkyl substituents on the ring.

(A)

A, C and D only

(B)

A and C only

(C)

B and C only

(D)

A and B only

Q68Single correctChemical Bonding and Molecular Structure

Match the LIST-I with LIST-II according to shape.

List - I	List - II
A. $XeO_{3}$	I. $BrF_{5}$
B. $XeF_{2}$	II. $N H_{3}$
C. $XeO_{2} F_{2}$	III. $[I_{3}]^{-}$
D. $XeOF_{4}$	IV. $S F_{4}$

(A)

A - II, B - III, C - I V, D - I

(B)

A - II, B - III, C - I, D - I V

(C)

A - II, B - I, C - III, D - I V

(D)

A - III, B - II, C - I V, D - I

Q69Single correctOrganic Compounds Containing Nitrogen

Total number of alkali insoluble solid sulphonamides obtained by reaction of given amines with Hinsberg's reagent is _________.
Aniline, N-Methylaniline, Methanamine, N, N – Dimethulmethanamine, N-Methyl Methanamine, Phenylmethanamine, N-propylaniline, N-phenylaniline, N, N-Dimethylaniline, Allyl amine, Isopropyl amine

(A)

4

(B)

8

(C)

5

(D)

2

Q70Single correctOrganic Compounds Containing Halogens

Which of the following reaction is NOT correctly represented?

(A)

Benzenediazonium chloride reacting with Cu2Br2/HBr to give bromobenzene

(B)

Toluene reacting with Br2 and light to give benzyl bromide (side-chain bromination)

(C)

3-methylcyclohexene with a CH3 on the carbon next to the double bond reacting with Br2 and light, drawn to give a product where the CH3 is converted to CH2Br while the ring double bond stays in the same position

(D)

Toluene reacting with Br2/Fe in the dark to give ortho and para bromotoluenes (ring bromination)

Q71NumericalChemical Kinetics

A \to B

(first reaction)

C \to D

(second reaction)
Consider the above two first-order reactions. The rate constant for first reaction at 500 K is double of the same at 300K. At 500 K, 50% of the reaction becomes complete in 2 hour. The activation energy of the second reaction is half of that of first reaction. If the rate constant at 500 K of the second reaction becomes double of the rate constant of first reaction at the same temperature; then rate constant for the second reaction at 300 K is ______

\times 1 0^{- 1} hour^{- 1}

(nearest integer).

Q72NumericalCoordination Compounds

The number of isoelectronic species among

S c^{3 +}, C r^{2 +}, M n^{3 +}, C o^{3}

and

F e^{3 +}

is 'n'. If 'n' moles of AgCl is formed during the reaction of complex with formula

CoCl_{3} (e n)_{2} N H_{3}

With excess of

AgNO_{3}

solution, then the number of electrons present in the

t_{2 g}

orbital of the complex is_________.

Q73NumericalAtomic Structure

Two positively charged particles

m_{1}

and

m_{2}

have been accelerated across the same potential difference of 200 keV as shown below.
[Given mass of

m_{1} = 1

amu and

m_{2} = 4

amu]
The debroglie wavelength of

m_{1}

will be x times of

m_{2}

. The value of x is ______ (nearest integer)

Vacuum chamber containing two positively charged particles m1 (upper) and m2 (lower) accelerated rightward by dashed arrows toward a negative plate; the chamber is connected to a power supply with a 200 keV battery symbol below.

Q74NumericalRedox Reactions and Electrochemistry

For strong electrolyte

Λ_{m}

increases slowly with dilution and can be represented by the equation

Λ_{m} = Λ_{m}^{o} - A C^{\frac{1}{2}}

Molar conductivity values of the solutions of strong electrolyte AB at

1 8^{o} C

are given below:

c [mol L^{- 1}]

| 0.04 | 0.09 | 0.16 | 0.25

Λ_{m} [S c m^{2} mol^{- 1}]

| 96.1 | 95.7 | 95.3 | 94.9
The value of constant A based on the above data

[in S c m^{2} m o l^{- 1} / (m o l / L)^{1/2}]

unit is ______.

Q75NumericalEquilibrium

A volume of x mL of 5 M

NaHCO_{3}

solution was mixed with 10 mL of 2 M

H_{2} C O_{3}

solution to make an electrolytic buffer. If the same buffer was used in the following electrochemical cell to record a cell potential of 235.3 mV, then the value of x = ______ mL (nearest integer).

S n (s) S n (O H)_{6}^{2 -} (0.5 M) HSnO_{2}^{-} (0.05 M) O H^{-} ∣ B i_{2} O_{3} (s) ∣ B i (s)

Consider upto one place of decimal for intermediate calculations
Given:

E_{H S n O_{2}^{-} ∣ S n (O H)_{6}^{2 -}}^{o} = - 0.9 V

E_{B i_{2} O_{3} ∣ B i}^{o} = - 0.44 V

pKa_{(H_{2} C O_{3})} = 6.11

\frac{2.303 RT}{F} = 0.059 V

Antilog

(1.29) = 19.5

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