JEE Main 2026 January 22, Shift 1 Question Paper with Solutions

Q: How many questions are in the JEE Main 2026 January 22, Shift 1 paper?

The JEE Main 2026 January 22, Shift 1 paper has 75 questions — Physics (25), Chemistry (25) and Mathematics (25). Every question is on this page with its correct answer and a step-by-step solution.

Q: 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.

Q: Are the answer key and step-by-step solutions provided for the 2026 January 22, Shift 1 paper?

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

Q: Can I take the JEE Main 2026 January 22, Shift 1 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.

All 75 questions from the JEE Main 2026 (January 22, Shift 1) 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 volume of an ideal gas increases 8 times and temperature becomes

(1/4)^{t h}

of initial temperature during a reversible adiabatic change. If there is no exchange of heat in this process

(Δ Q = 0)

then identify the gas from the following options (Assuming the gases given in the options are ideal gases):

(A)

N H_{3}

(B)

He

(C)

O_{2}

(D)

C O_{2}

Q27Single correctRotational Motion

A solid sphere of mass 5 kg and radius 10 cm is kept in contact with another solid sphere of mass 10 kg and radius 20 cm. The moment of inertia of this pair of spheres about the tangent passing through the point of contact is ____

kgm^{2}

(A)

0.18

(B)

0.36

(C)

0.63

(D)

0.72

Q28Single correctKinematics

A Projectile is thrown upward at an angle

6 0^{\circ}

with the horizontal. The speed of the projectile is 20 m/s when its direction of motion is

4 5^{\circ}

with the horizontal. The initial speed of the projectile is ------ m/s

(A)

203

(B)

402

(C)

40

(D)

202

Q29Single correctProperties of Solids and Liquids

Given below are two statements:
Statement I: Pressure of fluid is exerted only on a solid surface in contact as the fluid- Pressure does not exist everywhere in a still fluid .
Statement II: Excess potential energy of the molecules on the surface of a liquid. When compared to interior, results in surface tension.
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

Q30Single correctUnits and Measurements

Match the LIST-I with LIST-II

List -I	List-II
A. Spring constant	I. $M L^{2} T^{- 2} K^{- 1}$
B. Thermal conductivity	II. $M L^{0} T^{- 2}$
C. Boltzmann constant	III. $M L^{2} T^{- 3} A^{- 2}$
D. Inductive reactance	IV. $MLT^{- 3} K^{- 1}$

(A)

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

(B)

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

(C)

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

(D)

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

Q31Single correctProperties of Solids and Liquids

Rods x and y of equal dimensions but of different materials are joined as shown in figure, Temperatures of end points A and F are maintained at

10 0^{\circ} C

and

4 0^{\circ} C

respectively . Given the thermal conductivity of rod x is three times that of rod y, the temperature at junction points B and E (close to):

A horizontal line from point A to point B labelled rod x, then from B two rods of type y go up to a top vertex C and down to a bottom vertex D forming a rhombus, the upper edge from C to E and lower edge from D to E are labelled rod y and rod x; the rhombus closes at point E; a horizontal rod x continues from E to point F. A is at far left, F at far right, C at top, D at bottom.

(A)

8 0^{\circ} C

and

6 0^{\circ} C

respectively

(B)

8 0^{\circ} C

and

7 0^{\circ} C

respectively

(C)

8 9^{\circ} C

and

7 3^{\circ} C

respectively

(D)

6 0^{\circ} C

and

4 5^{\circ} C

respectively

Q32Single correctAtoms and Nuclei

7.9 MeV

α

-particle scatters from a target material of atomic number 79. From the given data the estimated diameter of nuclei of the target material is (approximately) ____m. [

\frac{1}{4 π ε _{0}} = 9 \times 1 0^{9} N m^{2} / C^{2}

and electron charge

e = 1.6 \times 1 0^{- 19} C

]

(A)

1.69 \times 1 0^{- 12}

(B)

2.88 \times 1 0^{- 14}

(C)

5.76 \times 1 0^{- 14}

(D)

1.44 \times 1 0^{- 13}

Q33Single correctCurrent Electricity

A meter bridge with two resistance

R_{1}

and

R_{2}

as shown in figure was balanced (null point) At

40 c m

from the point P. The null point changed to

50 c m

from the point P, when

16Ω

resistance is connected in parallel to

R_{2}

. The values of resistances

R_{1}

and

R_{2}

are____

A metre bridge: top arm has resistance R1 on the left and R2 on the right, with a galvanometer S between them at the top. A horizontal resistance wire runs along the bottom from terminal P (left) to terminal R (right). A jockey/galvanometer connection Q sits on the wire. A battery of emf V is connected across the bottom wire from P to R.

(A)

R_{2} = 4Ω, R_{1} = \frac{4}{3} Ω

(B)

R_{2} = 8Ω, R_{1} = \frac{16}{3} Ω

(C)

R_{2} = 12Ω, R_{1} = \frac{12}{3} Ω

(D)

R_{2} = 16Ω, R_{1} = \frac{16}{3} Ω

Q34Single correctGravitation

The escape velocity from a spherical planet A is 10

km / s

. The escape velocity from another planet B whose density and radius are 10% of those of planet A. is ____ m/s.

(A)

10002

(B)

10010

(C)

2005

(D)

1000

Q35Single correctElectrostatics

Six point charges are kept

6 0^{\circ}

apart from each other on the circumference of a circle of radius R as shown in figure. The net electric field at the center of the circle is ____ . (

ε_{0}

is permitivity of free space)

A circle of radius R centred at origin on x-y axes (y axis vertical labelled y(j-hat), x axis horizontal labelled x(i-hat)). Six point charges sit on the circumference spaced 60 degrees apart. Charges read, going around: -Q at top, +Q on the upper right, +Q on the lower right, +Q at the bottom region, -Q on the lower left, and -Q on the upper left. A radius R is drawn to the lower-right +Q with a 30 degree angle marked from the x-axis.

(A)

- \frac{Q}{4 π ε _{0} R ^{2}} (3 \hat{i} - \hat{j})

(B)

\frac{Q}{4 π ε _{0} R ^{2}} (3 \hat{i} - \hat{j})

(C)

\frac{5 Q}{8 π ε _{0} R ^{2}} (\hat{i} + 3 \hat{j})

(D)

\frac{5 Q}{8 π ε _{0} R ^{2}} (\hat{i} - 3 \hat{j})

Q36Single correctElectromagnetic Induction and Alternating Currents

Three identical coils

C_{1}, C_{2}

and

C_{3}

are closely placed such that they share a common axis,

C_{2}

is exactly midway.

C_{1}

carries current I in anti-clockwise direction while

C_{3}

carries current I in clockwise direction . An induced current flows though

C_{2}

will be in clockwise direction when

(A)

C_{1}

moves away from

C_{2}

and

C_{3}

moves towards

C_{2}

(B)

C_{1}

moves towards

C_{2}

and

C_{3}

moves away from

C_{2}

(C)

C_{1}

and

C_{3}

move with equal speeds away from

C_{2}

(D)

C_{1}

and

C_{3}

move with equal speeds towards

C_{2}

Q37Single correctAtoms and Nuclei

The minimum frequency of photon required to break a particle of mass 15.348 amu into

4 α

particles is ____ kHz. [mass of He nucleus

= 4.002

amu, 1amu

= 1.66 \times 1 0^{- 27}

kg,

h = 6.6 \times 1 0^{- 34}

J.s and

c = 3 \times 1 0^{8}

m/s]

(A)

14.94 \times 1 0^{19}

(B)

9 \times 1 0^{19}

(C)

14.94 \times 1 0^{20}

(D)

9 \times 1 0^{20}

Q38Single correctElectromagnetic Induction and Alternating Currents

XPQY is a vertical smooth long loop having a total resistance of R where PX is parallel to QY and separation between them is l. A constant magnetic field B perpendicular to the plane of the loop exists in the entire space. A rod CD of length

L (L > l)

and mass m is made to slide down from rest under the gravity as shown in figure. The terminal speed acquired by the rod is ____

m / s (g = acceleration due t o gravity)

A vertical rectangular loop with top side PQ containing a resistor (zig-zag) between P (left) and Q (right). The two vertical rails PX (left) and QY (right) extend downward to X and Y. A horizontal conducting rod CD of length L lies across the rails, with C on the left and D on the right, free to slide down. The rail separation is labelled l (less than L). Dashed arrows indicate the rod sliding downward under gravity.

(A)

\frac{8 m g R}{B ^{2} l ^{2}}

(B)

\frac{m g R}{B ^{2} l ^{2}}

(C)

\frac{2 m g R}{B ^{2} l ^{2}}

(D)

\frac{2 m g R}{B ^{2} l ^{2}}

Q39Single correctOptics

A thin convex lens of focal length 5 cm and a thin concave lens of focal length 4 cm are combined together (without any gap) and this combination has magnification

m_{1}

when an object is placed 10 cm before the convex lens. Keeping the positions of convex lens and object undisturbed a gap of 1 cm is introduced between the lenses by moving the concave lens away. Which lead to a change in magnification of total lens system to

m_{2}

. The value of

\frac{m _{1}}{m _{2}}

is ____

(A)

\frac{5}{27}

(B)

\frac{25}{27}

(C)

\frac{5}{6}

(D)

\frac{5}{9}

Q40Single correctGravitation

Net gravitational force at the center of a square is found to be

F_{1}

when four particles having mass M,2M,3M and 4M are placed at the four corners of the square as shown in figure and it is

F_{2}

when the positions of 3M and 4M are interchanged. The ratio

\frac{F _{1}}{F _{2}}

\frac{a}{5}

. The value of a is ____

A dashed square with four masses at the corners: 4M at top-left, 3M at top-right, M at bottom-left, 2M at bottom-right. Dashed diagonals are drawn meeting at the centre of the square.

(A)

3

(B)

2

(C)

1

(D)

25

Q41Single correctOptics

Consider an equilateral prism

(refractive index 2)

A ray of light is incident on its one surface at a certain angle i. If the emergent ray is found to graze along the other surface then the angle of refraction at the incident surface is close to

(A)

2 0^{\circ}

(B)

4 0^{\circ}

(C)

1 5^{\circ}

(D)

3 0^{\circ}

Q42Single correctOscillations and Waves

A simple pendulum has a bob with mass m and charge q. The pendulum string has negligible mass. When a uniform and horizontal electric field E is applied. The tension in the string changes. The final tension in the string when pendulum attains an equilibrium position is ____ (g acceleration due to gravity)

(A)

m^{2} g^{2} + q^{2} E^{2}

(B)

m g + qE

(C)

m g - qE

(D)

m^{2} g^{2} - q^{2} E^{2}

Q43Single correctElectrostatics

Electric field in a region is given by

E = A x \hat{i} + B y \hat{j}

, where

A = 10 V / m^{2}

and

B = 5 V / m^{2}

. If the electric potential at a point (10,20) is

500 V

, then the electric potential at origin is ____ V.

(A)

500

(B)

0

(C)

1000

(D)

2000

Q44Single correctElectronic Devices

Find the correct combination of A,B,C and D inputs which can cause the LED to glow.

A logic circuit. Inputs A and B feed into an AND gate (top). Input B and C region feed a middle gate. Inputs C and D feed into a lower gate. The gate outputs are combined into a final OR gate whose output drives an LED in series with a resistor to the supply. Four inputs labelled A (top), B, C and D (bottom) on the left.

(A)

0011

(B)

1000

(C)

1101

(D)

0100

Q45Single correctKinetic Theory of Gases

A cylindrical tube AB of length l, closed at both ends contains an ideal gas of 1 mol having molecular weight M. The tube is rotated in a horizontal plane with constant angular velocity

ω

about an axis perpendicular to AB and passing through the edge at end A as shown in the figure. If

P_{A}

and

P_{B}

are the pressures at A and B respectively. Then (Consider the temperature is same at all points in the tube)

A horizontal cylindrical tube with end A on the left and end B on the right, length l, filled with gas particles (dots). A vertical rotation axis passes through end A, with angular velocity omega shown as a curved arrow at the top about that axis. The tube rotates in the horizontal plane about A.

(A)

P_{B} = P_{A} exp (M ω^{2} l^{2} /2 RT)

(B)

P_{B} = P_{A} exp (M ω^{2} l^{2} / RT)

(C)

P_{B} = P_{A}

(D)

P_{B} = P_{A} exp (M ω^{2} l^{2} /3 RT)

Q46NumericalOscillations and Waves

Two loudspeakers (

L_{1}

and

L_{2}

) are placed with a separation of 10 m. as shown in figure. Both speakers are fed with an audio input signal of same frequency with constant volume A voice recorder, initially at point A at equidistance to both loud speakers is moved by 25m along the line AB while monitoring the audio signal The measured signal was found to undergo 10 cycles of minima and maxima during the movement. The frequency of the input signal is ____ Hz (Speed of sound in air is 324 m/s and

5 = 2.23

)

Two loudspeakers L1 (upper) and L2 (lower) on the left, vertically separated by 10 m. To the right, point A is at the same height as the midpoint between the speakers, a horizontal distance 40 m away. Point B is 25 m vertically above A. The recorder moves from A up to B along the vertical line AB.

Q47NumericalRotational Motion

A circular disc has radius

R_{1}

and thickness

T_{1}

. Another circular disc made of the same material has radius

R_{2}

and thickness

T_{2}

. If the moment of inertia of both discs are same and

\frac{R _{1}}{R _{2}} = 2

then

\frac{T _{1}}{T _{2}} = \frac{1}{α}

. The value of

α

is ____

Q48NumericalElectromagnetic Induction and Alternating Currents

Inductance of a coil with

1 0^{4}

turns is 10 mH and it is connected to a dc source of 10 V with internal resistance of

10Ω

. The energy density in the inductor when the current reaches

(\frac{1}{e})

of its maximum value is

\frac{α π}{e ^{2}} J / m^{3}

. The value of

α

is ____

(μ_{0} = 4 π \times 1 0^{- 7} T m / A)

Q49NumericalElectromagnetic Waves

The electric field of a plane electromagnetic wave, travelling in an unknown non-magnetic medium is given by .

E_{y} = 20 sin (3 \times 1 0^{6} x - 4.5 \times 1 0^{14} t) V / m

(where x,t and other values have S.I. units).The dielectric constant of the medium is ____ (Speed of light in free space is

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

)

Q50NumericalOptics

A parallel beam of light travelling in air (refractive index 1.0) is incident on a convex spherical glass surface of radius of curvature 50 cm. Refractive index of glass is 1.5. The rays converge to a point at a distance x cm from the centre of the curvature of the spherical surface . The value of x is ____ cm.

Chemistry25 questions

Q51Single correctSome Basic Principles of Organic Chemistry

As compared with chlorocyclohexane, which of the following statements correctly apply to chlorobenzene ?
A. The magnitude of negative charge is more on chlorine atom
B. The C-Cl bond has partial double bond character
C.

C - Cl

bond is less polar
D. C-Cl bond is longer due to repulsion between delocalised electrons of the aromatic ring and lone pairs of electrons of chlorine.
E. The C-Cl bond is formed using

s p^{2}

hybridized orbital of carbon
Choose the correct answer from the options given below :

(A)

A, D and E Only

(B)

B, C and D Only

(C)

B, C and E Only

(D)

A, C and E Only

Q52Single correctHydrocarbons

Given below are two statements :

(A)

Statement I is correct but Statement II is incorrect

(B)

Statement I is incorrect but Statement II is correct

(C)

Both Statement I and Statement II are incorrect

(D)

Both Statement I and Statement II are correct

Q53Single correctEquilibrium

Given below are two statements:
Statement I : The Henry's law constant

K_{H}

is constant with respect to variations in solution's concentration over the range for which the solution is ideally dilute.
Statement II :

K_{H}

does not differ for the same solute in different solvents.
In the light of the above statements, choose the correct answer from the options given below

(A)

Statement I is true and Statement II are false

(B)

Statement I is false but Statement II is true

(C)

Both Statement I and Statement II are false

(D)

Both Statement I and Statement II are true

Q54Single correctSome Basic Concepts in Chemistry

In the reaction

2 A l (s) + 6 HCl (a q) \to 2 A l^{3 +} (a q) + 6 C l^{-} (a q) + 3 H_{2} (g)

(A)

67.2 L

H_{2} (g)

at STP is produced for every mole of Al that reacts

(B)

12L HCl (aq) is consumed for every 6L

H_{2} (g)

produced.

(C)

33.6 L

H_{2} (g)

is produced regardless of temperature and pressure for every mole of Al that reacts

(D)

11.2 L

H_{2} (g)

at STP is produced for every mole of HCl consumed

Q55Single correctp-Block Elements

Given below are two statements
Statement-I : The halogen that makes longest bond with hydrogen in HX, has the smallest covalent radius in its group.
Statement-II : A group 15 elements hybride

E H_{3}

has the lowest boiling point among corresponding hybrids of other group 15 elements. The maximum covalency of that element E is 4
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)

Both Statement I and Statement II are false

(C)

Statement I is true but Statement II is false

(D)

Statement I is false but Statement II is true

Q56Single correctOrganic Compounds Containing Nitrogen

'A' is a neutral organic compound (M. F:

C_{8} H_{9} ON

). On treatment with aqueous

B r_{2}

H O^{(-)}

, 'A' forms a compound 'B' which is soluble in dilute acid. 'B' on treatment with aqueous

NaNO_{2}

HCl (0 - 5^{\circ} C)

produces a compound 'C' which on treatment with CuCN/ NaCN produces 'D' . Hydrolysis of 'D' produces 'E' which is also obtainable from the hydrolysis of 'A'. 'E' on treatment with acidified

KMnO_{4}

produces 'F'. 'F' contains two different types of hydrogen. The structure of 'A' is

(A)

Benzene ring with a CH3 group at the top-left position and a CONH2 group at the adjacent (ortho) position

(B)

Benzene ring with a C(=O)NH2 group at the top and a CH3 group at the para (bottom) position

(C)

Benzene ring bearing a carbonyl carbon C(=O) bonded to a nitrogen N which carries one H and one CH3 group (N-methylbenzamide)

(D)

Benzene ring with a C(=O)NH2 group at the top and a CH3 group at the meta (lower) position

SolutionAnswer: Option 12-methylbenzamide (o-toluamide): benzene ring with adjacent CH3 and CONH2 groups

Approach:

Given a neutral compound A (

C_{8} H_{9} ON

) and the sequence A->B (aq.

Br_{2}

OH^{-}

), B->C (

NaNO_{2}

/HCl, 0–5 C), C->D (CuCN/NaCN), D->E (hydrolysis, also from A), E->F (acidified

KMnO_{4}

), with the constraint that F has two different types of hydrogen, the objective is to identify the structure of A among the four toluamide isomers.

Step 1:A (

C_{8} H_{9} ON

) is neutral with degree of unsaturation 5, consistent with a benzene ring plus a carbonyl: it is a methyl-substituted benzamide (

CH_{3} -C_{6} H_{4} -CONH_{2}

). Treatment with aqueous

Br_{2}

and

OH^{-}

is the Hofmann bromamide degradation, which removes the carbonyl carbon and converts the amide to an amine with one fewer carbon, giving toluidine B (

CH_{3} -C_{6} H_{4} -NH_{2}

), which dissolves in dilute acid because the arylamine forms a soluble salt.

C H_{3} C_{6} H_{4} CONH_{2} B r_{2} / O H^{-} C H_{3} C_{6} H_{4} N H_{2}

Step 2:B with

NaNO_{2}

/HCl at 0–5 C is diazotised to the diazonium salt C (

CH_{3} -C_{6} H_{4} -N_{2}^{+}

). Treatment of C with CuCN/NaCN (Sandmeyer reaction) replaces the diazonium group by a nitrile to give D (

CH_{3} -C_{6} H_{4} -CN

C H_{3} C_{6} H_{4} N H_{2} N a N O_{2} / H Cl C H_{3} C_{6} H_{4} N_{2}^{+} C u CN C H_{3} C_{6} H_{4} CN

Step 3:Hydrolysis of the nitrile D gives the carboxylic acid E (CH3-C6H4-COOH, a toluic acid). Hydrolysis of the amide A also gives the same acid CH3-C6H4-COOH, confirming the carboxyl and methyl substituents in A and E occupy the same two ring positions.

C H_{3} C_{6} H_{4} CN H_{2} O C H_{3} C_{6} H_{4} COO H = hydrolysis of A

Step 4:Acidified

KMnO_{4}

oxidises the ring methyl group of E to a carboxyl group, converting toluic acid to a benzenedicarboxylic acid F (HOOC-C6H4-COOH). The number of distinct hydrogen environments in F fixes the isomer: only the ortho (phthalic) acid gives a ring whose aromatic hydrogens fall into two equivalent pairs, i.e. two different types of hydrogen, while the meta and para isomers give three and one type respectively.

C H_{3} C_{6} H_{4} COOH K M n O_{4} / H^{+} C_{6} H_{4} (COOH)_{2}

Step 5:Since F must be the ortho diacid, the CH3 and the carboxyl-derived group in E (and hence the CH3 and CONH2 in A) are ortho to each other. Therefore A is 2-methylbenzamide (o-toluamide), the structure with adjacent CH3 and CONH2 groups, which is option 1.

A = o - C H_{3} C_{6} H_{4} CON H_{2}

Final answer: 2-methylbenzamide (o-toluamide): benzene ring with adjacent CH3 and CONH2 groups

Q57Single correctChemical Bonding and Molecular Structure

TWO p – block elements X and Y form fluorides of the type

E F_{3}

. The fluoride compound

X F_{3}

is a Lewis acid and

Y F_{3}

is a Lewis base. The hybridizations of the central atoms of

X F_{3}

and

Y F_{3}

respectively are

(A)

s p^{2}

and

s p^{3}

(B)

Both

s p^{3}

(C)

Both

s p^{2}

(D)

s p^{3}

and

s p^{2}

Q58Single correctOrganic Compounds Containing Oxygen

Match the List-I with List – II

List-I	List-II
A.. $N H_{2} - N H_{2}$ , KOH	I.. Tollen's Test
B.. $A g (N H_{3})_{2} O H$	II.. Clemmensen Reduction
C.. Aq. $CuSO_{4}$ , Sodium Potassium tartarate, KOH	III.. Wolff – Kishner Reduction
D.. $Z n - H g$ ,HCl	IV.. Fehling's Test

(A)

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

(B)

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

(C)

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

(D)

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

Q59Single correctOrganic Compounds Containing Halogens

The correct order of the rate of reaction of the following reactants with nucleophile by

S_{N} 1

mechanism is (Given : Structures I and II are rigid)

(A)

I < II < III < IV

(B)

III < I < II < IV

(C)

II < I < III < IV

(D)

IV < III < II < I

Q60Single correctOrganic Compounds Containing Oxygen

Given below are two statements :
Statement I : Phenol on treatment with

CHCl_{3}

/ aq.KOH under refluxing condition, followed by acidification produces p- hydroxy benzaldehyde as the major product and o-ohydroxy benzaldehyde as the minor product.
Statement II : The mixture of p-hydroxybenzaldehyde and o- hydroxybenzaldehyde can be easily separated through steam distillation.
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 true but Statement II is false

(C)

Statement I is false but Statement II is true

(D)

Both Statement I and Statement II are true

Q61Single correctChemical Bonding and Molecular Structure

The formal charges on the atoms marked as (1) to (4) in the Lewis representation of

HNO_{3}

molecule respectively are

Lewis structure of HNO3 drawn as H - O - N = O with the nitrogen also single bonded downward to an O carrying three lone pairs (oxygen with negative charge). The atoms are numbered: (1) above the first O (between H and N), (2) above the N, and the doubly bonded O and the lower single-bonded O are the other marked atoms. Markers (1) labels the O bonded to H and N, (2) labels N, (3) labels the =O, (4) labels the lower -O with three lone pairs.

(A)

0, 0, -1, + 1

(B)

0 , −1,0 , + 1

(C)

0, + 1, 0, -1

(D)

+1, 0, 0, -1

Q62Single correctAtomic Structure

The energy required by electrons, present in the first Bohr orbit of hydrogen atom to be excited to second Bohr orbit is _______ J mo

l^{- 1}

Given :

R_{H} = 2.18 \times 1 0^{- 11}

ergs

(A)

9.835 \times 1 0^{5}

(B)

9.835 \times 1 0^{12}

(C)

1.635 \times 1 0^{- 11}

(D)

1.635 \times 1 0^{- 18}

Q63Single correctChemical Kinetics

A \to

product (First order reaction)
Three sets of experiment were performed for a reaction under similar experimental conditions :
Run 1

\Rightarrow

100 mL of 10 M solution of reactant A
Run 2

\Rightarrow

200 mL of 10 M solution of reactant A
Run 3

\Rightarrow

100 mL of 10 M solution of reactant A + 100 mL of

H_{2} O

added.
The correct variation of rate of reaction is

(A)

Run 1 < Run 2 < Run 3

(B)

Run 3 < Run 1 = Run 2

(C)

Run 1 = Run 2 = Run 3

(D)

Run 3 < Run 1 < Run 2

Q64Single correctCoordination Compounds

A first row transition metal (M) does not liberate

H_{2}

gas from dilute HCl. 1 mol of aqueous solution of

MSO_{4}

is treated with excess of aqueous KCN and then

H_{2} S (g)

is passed through the solution. The amount of MS (metal sulphide) formed from the above reaction is _______ mol

(A)

(B)

(C)

(D)

Q65Single correctCoordination Compounds

Consider the transition metal ions

M n^{3 +}, C r^{3 +}, F e^{3 +}

and

C o^{3 +}

and all form low spin octahedral complexes. The correct decreasing order of unpaired electrons in their respective d-orbitals of the complexes is

(A)

M n^{3 +} > F e^{3 +} > C o^{3 +} > C r^{3 +}

(B)

F e^{3 +} > C o^{3 +} > M n^{3 +} > C r^{3 +}

(C)

C r^{3 +} > F e^{3 +} > C o^{3 +} > M n^{3 +}

(D)

C r^{3 +} > M n^{3 +} > F e^{3 +} > C o^{3 +}

Q66Single correctOrganic Compounds Containing Halogens

The correct order of reactivity of

C H_{3} B r

in methanol with the following nucleophiles is

F^{-}, I^{-}, C_{2} H_{5} O^{-}

and

C_{6} H_{5} O^{-}

(A)

I^{-} > C_{2} H_{5} O^{-} > F^{-} > C_{6} H_{5} O^{-}

(B)

I^{-} > C_{2} H_{5} O^{-} > C_{6} H_{5} O^{-} > F^{-}

(C)

I^{-} > C_{6} H_{5} O^{-} > F^{-} > C_{2} H_{5} O^{-}

(D)

I^{-} > F^{-} > C_{6} H_{5} O^{-} > C_{2} H_{5} O^{-}

Q67Single correctClassification of Elements and Periodicity in Properties

A 'p' block element (E) and hydrogen form a binary cation

(E H_{4})^{+}

, while

E H_{3}

on treatment with

K_{2} HgI_{4}

in alkaline medium gives a precipitate of basic mercury (II) amido – iodine. Given below are first ionisation enthalpy values (kJ mo

l^{- 1}

) for first element each from group 13, 14, 15 and 16. Identify the correct first ionisation enthalpy value for element E.

(A)

1086

(B)

1312

(C)

1402

(D)

801

Q68Single correctBiomolecules

Given below are two statements :
Statement I : Sucrose is dextrorotatory. However, sucrose upon hydrolysis gives a solution having mixture of products. This solution shows laevorotation.
Statement II : Hydrolysis of sucrose gives glucose and fructose. Since the laevorotation of glucose is more than the dextrorotation of fructose, the resulting solution becomes laevorotatory.
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 true but Statement II is false

(C)

Statement I is false but Statement II are true

(D)

Both Statement I and Statement II are fasle

Q69Single correctChemical Thermodynamics

Match the List-I with List – II

List-I (Thermodynamic Process)	List-II (Magnitude in kJ)
A.. Work done in reversible, isothermal expansion of 2 mol of ideal gas from 2 d $m^{3}$ to 20 d $m^{3}$ at 300 K	I.. 4
B.. Work done in irreversible isothermal expansion of 1 mol ideal gas from 1 $m^{3}$ to 3 $m^{3}$ at 300 K against a constant pressure of 3kPa	II.. 11.5
C.. Change in internal energy for adiabatic expansion of 1 mol ideal gas with change of temperature = 320 K and $\overset{ˉ}{C}_{v} = \frac{3}{2} R$	III.. 6
D.. Change in enthalpy at constant pressure of 1 mol ideal gas with change of temperature = 337 K and $\overset{ˉ}{C}_{p} = \frac{5}{2} R$	IV.. 7

(A)

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

(B)

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

(C)

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

(D)

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

Q70Single correctEquilibrium

Consider a solution

C O_{2} (g)

dissolved in water in a closed container. Which one of the following plots correctly represents variation of log (partial pressure of

C O_{2}

in vapour phase above water) [y-axis] with log (mole fraction of

C O_{2}

in water) [x-axis] at

2 5^{\circ}

C ?

(A)

A plot on x-y axes showing a curve that decreases from upper-left, sloping downward to the right (negative slope)

(B)

A plot on x-y axes showing a straight line with positive slope, intersecting the positive y-axis above the origin and rising to the right

(C)

A plot on x-y axes showing a straight line with positive slope rising from the lower-left region to upper-right, passing through/near the origin

(D)

A plot on x-y axes showing a line that descends from upper-left to lower-right (negative slope)

Q71NumericalRedox Reactions and Electrochemistry

Consider the following electrochemical cell at 298 K

Pt ∣ HSnO_{2}^{-} (a q) ∣ S n (O H)_{6}^{2 -} (a q) ∣ O H^{-} (a q) ∣∣ B i_{2} O_{3} (s) ∣ B i (s)

If the reaction quotient at a given time is

1 0^{6}

, then the cell EMF

(E_{ce ll})

is _______

\times 1 0^{- 1}

V (Nearest integer). Given the standard half – cell reduction potential as

E_{B i_{2} O_{3} / B i, O H^{-}}^{0} = - 0.44 V

and

E_{S n (O H)_{6}^{2 -} / H S n O_{2}^{-}, O H^{-}}^{0} = - 0.90 V

Q72NumericalChemical Thermodynamics

Dissociation of a gas

A_{2}

takes place according to the following chemical reaction. At equilibrium, the total pressure is 1 bar at 300 K.

A_{2} (g) ⇌ 2 A (g)

The standard Gibbs energy of formation of the involved substances has been provided below :
Substance |

Δ G_{f}^{o} / k J mol^{- 1}

A_{2}

| -100.00 |
A | -50.832 |
The degree of dissociation of

A_{2}

(g) given by

(x \times 1 0^{- 2})^{1/2}

where x = _______ (Nearest integer ) [Given : R = 8 J mo

l^{- 1} K^{- 1}

, log 2 = 0.3010, log 3 = 0.48] Assume degree of dissociation is not negligible

Q73NumericalPurification and Characterisation of Organic Compounds

The cycloalkene (X) on bromination consumes one mole of bromine per mole of (X) and gives the product (Y) in which C:Br ratio is 3 : 1. The percentage of bromine in the product (Y) is _______ % (Nearest integer) (Given : molar mass in g mo

l^{- 1}

H:1, C : 12, O : 16, Br : 80)

Q74NumericalChemical Kinetics

The temperature at which rate constants of the given below two gaseous reactions become equal is _______ K (Nearest integer)

X ⟶ Y k_{1} = 1 0^{6} e^{\frac{- 30000}{T}}

P ⟶ Q k_{2} = 1 0^{4} e^{\frac{- 24000}{T}}

Given : ln 10 = 2.303

Q75NumericalPrinciples Related to Practical Chemistry

Sodium fusion extract of an organic compound (Y) with CHC

l_{3}

and chlorine water gives violet colour to the CHC

l_{3}

layer. 0.15 g of (Y) gave 0.12 g of the silver halie precipitate in Carius method. Percentage of halogen in the compound (Y) is _______ (Nearest integer) (Given : molar mass g mo

l^{- 1}

C: 12, H : 1, Cl : 35.5, Br : 80, I : 127)

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