A metal rod of length L rotates about one end at origin with a uniform angular velocity ω . The magnetic field radially falls off as B(r) = B_0 e^-λ r ; λ being a positive constant. The emf induced (neglecting the centripetal force on electrons in the rod) is:

B_0ω [ 1 λ^2 - e^-λ L ( 1 λ^2 + (L)/(λ) ) ]

JEE Main 2026 April 05, Shift 2 Question Paper with Solutions

All 74 questions from the JEE Main 2026 (April 05, Shift 2) shift — Physics (25), Chemistry (25) and Mathematics (24) — with the correct answer and a step-by-step solution for every question.

Physics PYQs 2026 Chemistry PYQs 2026 Mathematics PYQs 2026

Physics25 questions

Q26Single correctUnits and Measurements

Match List - I with List - II. where

h

(Planck's constant),

G

(gravitational constant) and

c

(speed of light in vacuum) as fundamental units. Choose the correct answer from the options given below:

List-I	List-II
A. Meter (L)	I. $\sqrt{\dfrac{hc}{G}}$
B. Second (S)	II. $\sqrt{\dfrac{Gh}{c^{5}}}$
C. Kilogram (M)	III. $\sqrt{\dfrac{K^{2}L^{2}c^{3}}{Gh}}$
D. Kelvin (K)	IV. $\sqrt{\dfrac{Gh}{c^{3}}}$

(A)

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

(B)

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

(C)

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

(D)

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

Q27Single correctUnits and Measurements

In an experiment to determine the resistance of a given wire using Ohm's law, the voltmeter and ammeter readings are noted as 10 V and 5 A, respectively. The least counts of voltmeter and ammeter are 500 mV and 200 mA, respectively. The estimated error in the resistance measurement is _____

\Omega

(A)

0.25

(B)

(C)

2.5

(D)

0.18

Q28Single correctWork, Energy and Power

A mass of 1 kg is kept on an inclined plane with 30

^\circ

inclination with respect to the horizontal plane and it is at rest initially. Then the whole assembly is moved up with constant velocity of 4 m/s. The work done by the frictional force in time 2 s is _____ J. (Take

g = 10\,\mathrm{m/s^{2}}

)

(A)

(B)

(C)

(D)

Q29Single correctKinematics

The velocity (v) versus time (t) plot of a particle is shown in the figure, for a time interval of 40 s. The total distance travelled by the particle and the average velocity during this period are, respectively _____.

Velocity (m/s) versus time (s) plot on axes ranging from v = -5 to +5 m/s and t = 0 to 40 s. From t = 0 the velocity rises linearly from 0 to +5 m/s at t = 10 s, then falls linearly back to 0 at t = 20 s, then continues linearly to -5 m/s at t = 30 s, and finally rises linearly back to 0 at t = 40 s, forming two triangular pulses (one positive between 0 and 20 s, one negative between 20 s and 40 s).

(A)

25 m and zero

(B)

50 m and zero

(C)

100 m and zero

(D)

100 m and 2.5 m/s

Q30Single correctRotational Motion

A wheel initially at rest is subjected to a uniform angular acceleration about its axis. In the first 2 s it rotates through an angle

\theta_{1}

and in the next 2 s it rotates through an angle

\theta_{2}

. The ratio

\dfrac{\theta_{2}}{\theta_{1}}

is _____.

(A)

(B)

(C)

(D)

\displaystyle \dfrac{1}{3}

Q31Single correctRotational Motion

An object of uniform density rolls up the curved path with the initial velocity

v_{0}

as shown in the figure. If the maximum height attained by the object is

\dfrac{7v_{0}^{2}}{10g}

(g = acceleration due to gravity), the object is a _____.

A small spherical object placed at the bottom of a smooth concave curved track (resembling the inside of a bowl/quarter-pipe) with the object on the lower horizontal portion and an upward-sloping curved surface rising to the right; an arrow labelled v0 indicates the initial horizontal velocity directed along the path toward the rising side.

(A)

solid cylinder

(B)

ring

(C)

disc

(D)

solid sphere

Q32Single correctGravitation

A body of mass m is taken from the surface of earth to a height equal to twice the radius of earth (

R_{e}

). The increase in potential energy will be _____. (g is acceleration due to gravity at the surface of earth)

(A)

\displaystyle \dfrac{1}{2}\,\text{mgR}_{e}

(B)

\displaystyle \dfrac{3}{4}\,\text{mgR}_{e}

(C)

\displaystyle \dfrac{1}{4}\,\text{mgR}_{e}

(D)

\displaystyle \dfrac{2}{3}\,\text{mgR}_{e}

Q33Single correctProperties of Solids and Liquids

Eight mercury drops, each of radius r, coalesce to form a bigger drop. The surface energy released in this process is _____ (S is the surface tension of mercury).

(A)

\displaystyle 8\pi r^{2} S

(B)

\displaystyle 16\pi r^{2} S

(C)

\displaystyle 64\pi r^{2} S

(D)

\displaystyle 4\pi r^{2} S

Q34Single correctKinetic Theory of Gases

An ideal gas at pressure P and temperature T is expanding such that

PT^{3} =

constant. The coefficient of volume expansion of the gas is _____.

(A)

\displaystyle \dfrac{2}{T}

(B)

\displaystyle \dfrac{1}{T}

(C)

\displaystyle \dfrac{4}{T}

(D)

\displaystyle \dfrac{3}{T}

Q35Single correctOscillations and Waves

Match List - I with List - II.

List - I	List - II
A. $\sin^{2}(\omega t)$	I. Periodic with time period $T = \dfrac{\pi}{\omega}$ but not simple harmonic motion (SHM)
B. $\sin^{3}(2\omega t)$	II. Periodic with time period $T = \dfrac{2\pi}{\omega}$ but Not SHM
C. $\sin(\omega t) + \cos(\pi \omega t)$	III. Periodic with time period $T = \dfrac{\pi}{\omega}$ and SHM
D. $\cos(\omega t) + \cos(2\omega t)$	IV. Non-periodic

(A)

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

(B)

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

(C)

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

(D)

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

Q36Single correctElectromagnetic Induction and Alternating Currents

A metal rod of length L rotates about one end at origin with a uniform angular velocity

\omega

. The magnetic field radially falls off as

B(r) = B_{0} e^{-\lambda r}

;

\lambda

being a positive constant. The emf induced (neglecting the centripetal force on electrons in the rod) is:

(A)

\displaystyle B_{0}\omega \left[\dfrac{1}{\lambda^{2}} - e^{-\lambda L}\left(\dfrac{1}{\lambda^{2}} + \dfrac{L}{\lambda}\right)\right]

(B)

\displaystyle B_{0}\omega \left[\dfrac{1}{\lambda^{2}} + e^{-\lambda L}\left(\dfrac{1}{\lambda^{2}} + \dfrac{L}{\lambda}\right)\right]

(C)

\displaystyle B_{0}\omega \left[\dfrac{4}{\lambda^{2}} - e^{-2\lambda L}\left(\dfrac{1}{\lambda^{2}} + \dfrac{2L}{\lambda}\right)\right]

(D)

\displaystyle B_{0}\omega \left[\dfrac{3}{\lambda^{2}} - e^{-3\lambda L}\left(\dfrac{3}{\lambda^{2}} + \dfrac{L}{\lambda}\right)\right]

Q37Single correctCurrent Electricity

Under steady state condition the potential difference across the capacitor in the circuit is _____ V.

Rectangular DC circuit. A 2 V battery is in series with a 6 ohm resistor forming the source branch. Across the source terminals, two parallel branches are connected: one branch contains a 2 ohm resistor alone, and the other branch contains a 2 microfarad capacitor in series with a 4 ohm resistor.

(A)

\displaystyle 0.5

(B)

\displaystyle 1.5

(C)

\displaystyle 0

(D)

\displaystyle 2

Q38Single correctMagnetic Effects of Current and Magnetism

A particle of charge q and mass m is projected from origin with an initial velocity

\vec{v} = \left(\dfrac{v_{0}}{\sqrt{2}}\hat{x} + \dfrac{v_{0}}{\sqrt{2}}\hat{y}\right)

. There exists a uniform magnetic field

\vec{B} = B_{0}\hat{z}

and a space varying electric field

\vec{E} = E_{0} e^{-\lambda x}\hat{x}

within the region

0 \le x \le L

. After travelling a distance such that x-coordinate has changed from

x = 0

x = L

, the change in the kinetic energy is _____.

(A)

\displaystyle \dfrac{qE_{0}}{\lambda}\left(1 - e^{-\lambda L}\right)

(B)

\displaystyle \dfrac{v_{0} qB_{0}}{\sqrt{2}}\left(2 - e^{-2\lambda L}\right)

(C)

\displaystyle \dfrac{qE_{0}}{\lambda}\left(1 - e^{\lambda L}\right)

(D)

\displaystyle q\left(\dfrac{E_{0} + v_{0} B_{0}}{\lambda}\right)\left(1 - e^{-\lambda L/2}\right)

Q39Single correctElectromagnetic Waves

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The electromagnetic wave exerts pressure on the surface on which they are allowed to fall. Reason (R): There is no mass associated with the electromagnetic waves. In the light of the above statements, choose the correct answer from the options given below:

(A)

Both (A) and (R) are true and (R) is the correct explanation of (A)

(B)

Both (A) and (R) are true but (R) is not the correct explanation of (A)

(C)

(A) is true but (R) is false

(D)

(A) is false but (R) is true

Q40Single correctOptics

A thin convex lens and a thin concave lens are kept in contact and are co-axial. Which of the following statements is correct for this combination of two lenses?

(A)

behaves as concave lens if

\displaystyle |f_{\text{convex}}| > |f_{\text{concave}}|

(B)

behaves as concave lens if

\displaystyle |f_{\text{convex}}| < |f_{\text{concave}}|

(C)

behaves as convex lens if

\displaystyle |f_{\text{convex}}| > |f_{\text{concave}}|

(D)

Focal length of the lens system will change if the positions of two lenses are interchanged

Q41Single correctOptics

An object AB is placed 15 cm on the left of a convex lens P of focal length 10 cm. Another convex lens Q is now placed 15 cm right of lens P. If the focal length of lens Q is 15 cm, the final image is _____.

(A)

virtual, formed at 7.5 cm right of lens

\displaystyle Q

, with a size bigger than that of

\displaystyle AB

(B)

real, formed at 7.5 cm right of lens

\displaystyle Q

, with a size same as that of

\displaystyle AB

(C)

formed at infinity

(D)

real, formed at 7 cm right of lens

\displaystyle Q

, with a size smaller than that of

\displaystyle AB

SolutionAnswer: Option 2real, formed at 7.5 cm right of lens

Q

, with a size same as that of

AB

Approach:

Givens: object AB at 15 cm left of convex lens P (

f_{P}=+10

cm); convex lens Q (

f_{Q}=+15

cm) at 15 cm right of P. Target: location, nature, and size of the final image. Principle: apply the thin-lens equation successively, treating the image from P as the object for Q with appropriate sign of object distance. Sign convention used throughout: light travels left to right; distances measured from the lens are positive to the right and negative to the left; a real object lies on the incident side (

u<0

), while a real image and a virtual object lie on the transmitted side (

v,u>0

Step 1:Compute the image formed by lens P with

u_{P}=-15

cm (real object on incident side) and

f_{P}=+10

cm (converging lens).

\dfrac{1}{v_{P}} = \dfrac{1}{f_{P}} + \dfrac{1}{u_{P}} = \dfrac{1}{10} + \dfrac{1}{-15} = \dfrac{3-2}{30} = \dfrac{1}{30}\ \Rightarrow\ v_{P} = +30\ \text{cm}

Step 2:Locate

I_{1}

with respect to lens Q, which sits 15 cm to the right of P. Because

30>15

I_{1}

lies on the transmitted side of Q — the converging rays from P would have met

I_{1}

past Q. Q intercepts the rays before they converge, so

I_{1}

acts as a virtual object whose distance from Q is taken as positive.

Distance of

I_{1}

from Q

= 30 - 15 = 15\ \text{cm}

on the transmitted side

\Rightarrow\ u_{Q}=+15\ \text{cm}

Step 3:Apply the lens equation for Q with

f_{Q}=+15

cm.

\dfrac{1}{v_{Q}} = \dfrac{1}{f_{Q}} + \dfrac{1}{u_{Q}} = \dfrac{1}{15} + \dfrac{1}{15} = \dfrac{2}{15}\ \Rightarrow\ v_{Q} = +7.5\ \text{cm}

Step 4:Compute the overall linear magnification.

m_{P} = \dfrac{v_{P}}{u_{P}} = \dfrac{30}{-15} = -2

;

m_{Q} = \dfrac{v_{Q}}{u_{Q}} = \dfrac{7.5}{15} = +0.5

;

m = m_{P}\,m_{Q} = -1

Final answer: Real image, 7.5 cm to the right of lens

Q

, with size equal to that of

AB

Q42Single correctOptics

The maximum intensity in a Young's double slit experiment is

I_{0}

. Distance between the slits (d) is

5\lambda

, where

\lambda

is the wavelength of light used. The intensity of the fringe, exactly opposite to one of the slits on the screen, placed at

D = 10d

is _____.

(A)

\displaystyle \dfrac{I_{0}}{4}

(B)

\displaystyle \dfrac{I_{0}}{2}

(C)

\displaystyle I_{0}

(D)

\displaystyle \dfrac{3 I_{0}}{4}

Q43Single correctDual Nature of Matter and Radiation

An electron is travelling with a velocity v in free space and when it enters a medium, its velocity is reduced by 20%. The de Broglie wavelength of electron in the medium is

\alpha\lambda_0

, where

\lambda_0

is its de Broglie wavelength in free space. The value of

\alpha

is _____ .

(A)

1.20

(B)

1.0

(C)

1.25

(D)

0.75

Q44Single correctAtoms and Nuclei

Assuming the experimental mass of

^{12}_{6}\mathrm{C}

as 12 u, the mass defect of

^{12}_{6}\mathrm{C}

atom is _____

\mathrm{MeV}/c^{2}

. (Mass of proton

= 1.00727\,\mathrm{u}

, mass of neutron

= 1.00866\,\mathrm{u}

1\,\mathrm{u} = 931.5\,\mathrm{MeV}/c^{2}

and c is the speed of the light in vacuum).

(A)

127.5

(B)

89.03

(C)

272.0

(D)

92.0

Q45Single correctElectronic Devices

In a semiconductor p-n diode, the doping concentrations on p-side and n-side are

10^{15}\,\mathrm{atoms/cm^{3}}

and

10^{18}\,\mathrm{atoms/cm^{3}}

, respectively. Which one of the following statements is true?

(A)

Widths of depletion region on either side of the interface are equal

(B)

The depletion region width is more on p -side compared to that in n-side

(C)

The depletion region width is more on n -side compared to that in p-side

(D)

No depletion region forms because of unequal doping concentrations on p and n-sides

Q46NumericalProperties of Solids and Liquids

A copper wire of length 3 m is stretched by 3 mm by applying an external force. The volume of the wire is

600 \times 10^{-6}\,\mathrm{m^{3}}

. The elastic potential energy stored in the wire in stretched condition would be _____ J. (Given Young modulus of copper

= 1.1 \times 10^{11}\,\mathrm{N/m^{2}}

)

Q47NumericalProperties of Solids and Liquids

The heat extracted out of x gram of water initially at

50^{\circ}\mathrm{C}

to cool it down to

0^{\circ}\mathrm{C}

is sufficient to evaporate

(1000 - x)

gram of water also initially at

50^{\circ}\mathrm{C}

. The value of x (closest integer) is _____ . (Take latent heat of water

2256\,\mathrm{kJ/kg.K}

, specific heat capacity of water

4200\,\mathrm{J/kg.K}

)

Q48NumericalElectromagnetic Induction and Alternating Currents

A series LCR circuit with

R = 20\,\Omega

L = 1.6\,\mathrm{H}

and

C = 40\,\mu\mathrm{F}

is connected to a variable frequency a.c. source. The inductive reactance at resonant frequency is _____

\Omega

Q49NumericalCurrent Electricity

When an external resistance of

5\,\Omega

is connected across terminals of a cell, a current of

0.25\,\mathrm{A}

flows through it. When the

5\,\Omega

resistor is replaced by a

2\,\Omega

resistor, a current of

0.5\,\mathrm{A}

flows through it. The internal resistance of the cell is _____

\Omega

Q50NumericalElectromagnetic Induction and Alternating Currents

A circular loop of radius 20 cm and resistance

2\,\Omega

is placed in a time varying magnetic field

\vec{B} = (2t^{2} + 2t + 3)\,\mathrm{T}

. At

t = 0

, for the plane of the loop being perpendicular to the magnetic field, the induced current in the loop at

t = 3\,\mathrm{s}

\dfrac{\alpha}{50}\,\mathrm{A}

. The value of

\alpha

is _____ . (Take

\pi = 22/7

)

Chemistry25 questions

Q51Single correctSome Basic Concepts in Chemistry

What volume of hydrogen gas at STP would be liberated by action of 50 mL of

\text{H}_2\text{SO}_4

of 50% purity (density = 1.3

\text{g.mL}^{-1}

) on 20 g of zinc? Given: Molar mass of H, O, S, Zn are 1, 16, 32, 65 g

\text{mol}^{-1}

respectively.

(A)

5.824 L

(B)

7.428 L

(C)

6.892 L

(D)

8.375 L

Q52Single correctAtomic Structure

Which of the following statement(s) is/are true? A. If two orbitals have the same value of (n + l), then the orbital with lower value of n will have lower energy. B. Energies of the orbitals in the same subshell increase with increase in atomic number. C. The size of

2p_z

orbital is less than the size of

3p_z

orbital. D. Among 5f, 6s, 4d, 5p and 5d, no one of the orbitals have 2 radial nodes. Choose the correct answer from the options given below:

(A)

A, B and C only

(B)

A and C only

(C)

C and D only

(D)

A only

Q53Single correctChemical Bonding and Molecular Structure

The covalent radii of atoms A and B are

r_A

and

r_B

respectively. The covalent bond length and total length of AB molecule are respectively:

(A)

\displaystyle (r_A + r_B), \; 2(r_A + r_B)

(B)

\displaystyle \dfrac{1}{2}(r_A + r_B), \; (r_A + r_B)

(C)

\displaystyle (r_A + r_B), \; (r_A + r_B)

(D)

\displaystyle 2(r_A + r_B), \; \dfrac{1}{2}(r_A + r_B)

Q54Single correctChemical Thermodynamics

Consider the following data for the reaction

\text{X}_2(g) + \text{Y}_2(g) \rightleftharpoons 2\text{XY}(g)

at 600 K. The

\Delta_r G^\circ

(in

\text{kJ mol}^{-1}

) for the reaction is:

Three-column thermodynamic data table for X2(g)+Y2(g) reversible 2XY(g). Columns: Compound, Delta-H-f-degree in kJ/mol, S-m-degree in J/(mol K). Rows: XY(g) 42 200; X2(g) 8 140; Y2(g) 60 250.

(A)

\displaystyle -21000

(B)

\displaystyle -10

(C)

\displaystyle -1000

(D)

\displaystyle -9.012

Q55Single correctChemical Thermodynamics

The correct order of molar heat capacities measured at 298 K and 1 bar is:

(A)

Copper(s) > Bromine(l) > Helium(g)

(B)

Bromine(l) > Copper(s) > Helium(g)

(C)

Helium(g) > Bromine(l) > Copper(s)

(D)

Helium(g) > Copper(s) > Bromine(l)

Q56Single correctEquilibrium

The reaction

\text{A}(g) \rightleftharpoons \text{B}(g) + \text{C}(g)

was initiated with the amount 'a' of A(g). At equilibrium it is found that the amount of A(g) remaining is

(a - x)

at a total pressure of p. The equilibrium constant

K_p

of the reaction can be calculated from the expression:

(A)

\displaystyle \dfrac{x^2}{a^2 + x^2} \cdot p

(B)

\displaystyle \dfrac{x^2}{a^2 - x^2} \cdot p

(C)

\displaystyle \dfrac{a + x^2}{x^2} \cdot p

(D)

\displaystyle \dfrac{a^2 - x^2}{x^2} \cdot p

Q57Single correctRedox Reactions and Electrochemistry

One half cell in a voltaic cell is constructed from a silver rod dipped in silver nitrate solution of unknown concentration. The other half cell consists of a zinc rod dipped in 1 molar solution of

\text{ZnSO}_4

. A voltage of 1.60 V is measured at 298 K for this cell. What is the concentration of

\text{Ag}^+

ions used in terms of

\log x

, where

x = [\text{Ag}^+]

? Given:

E^\circ_{\text{Zn}^{2+}/\text{Zn}} = -0.76 \text{ V}, \; E^\circ_{\text{Ag}^+/\text{Ag}} = +0.80 \text{ V}, \; \dfrac{2.303 RT}{F} = 0.059 \text{ V}

(A)

\displaystyle \dfrac{2}{3.9}

(B)

\displaystyle \dfrac{4}{5.9}

(C)

\displaystyle \dfrac{2}{5.9}

(D)

\displaystyle \dfrac{5.9}{4}

Q58Single correctp-Block Elements

Given below are two statements. Statement I: The number of pairs among

\{\text{Al}_2\text{O}_3, \text{Cr}_2\text{O}_3\}

\{\text{Cl}_2\text{O}_7, \text{Mn}_2\text{O}_7\}

\{\text{Na}_2\text{O}, \text{V}_2\text{O}_3\}

and

\{\text{CO}, \text{N}_2\text{O}\}

that contain oxides of same nature (acidic, basic, neutral or amphoteric) is 4. Statement II: Among

\text{Na}_2\text{O}

\text{Al}_2\text{O}_3

, CO and

\text{Cl}_2\text{O}_7

, the most basic and acidic oxides are

\text{Na}_2\text{O}

and

\text{Cl}_2\text{O}_7

, respectively. 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

SolutionAnswer: Option 1Both Statement I and Statement II are true

Approach:

Statement I lists four pairs of oxides; for each pair, identify the acid-base character of both members and count how many pairs share a common nature. Statement II compares the strengths of

\text{Na}_2\text{O}

\text{Al}_2\text{O}_3

, CO and

\text{Cl}_2\text{O}_7

to verify that the most basic is

\text{Na}_2\text{O}

and the most acidic is

\text{Cl}_2\text{O}_7

. Principles: nature of metal/non-metal oxides, periodic-table trends, and dependence on oxidation state.

Step 1:Pair 1

[\text{Al}_2\text{O}_3, \text{Cr}_2\text{O}_3]

\text{Al}_2\text{O}_3

dissolves in both acids and bases (amphoteric);

\text{Cr}_2\text{O}_3

likewise reacts with acids and with fused alkali (amphoteric). Both amphoteric; same nature.

\text{Al}_2\text{O}_3, \text{Cr}_2\text{O}_3: \text{amphoteric}

Step 2:Pair 2

[\text{Cl}_2\text{O}_7, \text{Mn}_2\text{O}_7]

\text{Cl}_2\text{O}_7

is the anhydride of

\text{HClO}_4

(strongly acidic);

\text{Mn}_2\text{O}_7

is the anhydride of

\text{HMnO}_4

(strongly acidic). Same nature.

\text{Cl}_2\text{O}_7, \text{Mn}_2\text{O}_7: \text{acidic}

Step 3:Pair 3

[\text{Na}_2\text{O}, \text{V}_2\text{O}_3]

\text{Na}_2\text{O}

is a typical alkali-metal oxide (basic).

\text{V}_2\text{O}_3

contains V in its low oxidation state

+3

, where the oxide is basic (lower oxidation states of d-block oxides are basic; higher oxidation states such as

\text{V}_2\text{O}_5

are amphoteric/acidic). Same nature.

\text{Na}_2\text{O}, \text{V}_2\text{O}_3: \text{basic}

Step 4:Pair 4

[\text{CO}, \text{N}_2\text{O}]

: CO is a classic neutral oxide;

\text{N}_2\text{O}

is likewise a neutral oxide. Same nature.

\text{CO}, \text{N}_2\text{O}: \text{neutral}

Step 5:Count: all four pairs share the same character within the pair. Therefore the count is 4 and Statement I is TRUE.

\text{count} = 4

Step 6:Evaluate Statement II among

\text{Na}_2\text{O}, \text{Al}_2\text{O}_3, \text{CO}, \text{Cl}_2\text{O}_7

\text{Na}_2\text{O}

is the most basic (group-1 oxide);

\text{Cl}_2\text{O}_7

is the most acidic (highest oxidation state of Cl, anhydride of

\text{HClO}_4

). Statement II is TRUE.

\text{Most basic: Na}_2\text{O};\; \text{Most acidic: Cl}_2\text{O}_7

Step 7:Both statements true; select the corresponding option.

\text{I true} \wedge \text{II true}

Final answer: Both Statement I and Statement II are true

Q59Single correctp-Block Elements

Given below are two statements:
Statement I: Aluminium upon reaction with NaOH forms

[\text{Al(OH)}_6]^{3-}

ion.
Statement II: The geometry of

\text{ICl}_4^-

\text{ClO}_3^-

and

\text{IBr}_2^-

is square planar, pyramidal and linear respectively.
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

Q60Single correctd- and f-Block Elements

Given below are two statements:
Statement I: Presence of large number of unpaired electrons in transition metal atoms results in higher enthalpies of their atomisation.
Statement II:

d_{xy} = d_{xz} = d_{yz} < d_{x^2-y^2} = d_{z^2}

and

d_{x^2-y^2} = d_{z^2} < d_{xy} = d_{xz} = d_{yz}

are the d-orbital splittings in

[\text{Fe(H}_2\text{O})_6]^{3+}

and

[\text{Ni(CO)}_4]^{2-}

complex ions respectively.
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 incorrect

(C)

Statement I is correct but Statement II is incorrect

(D)

Statement I is incorrect but Statement II is correct

Q61Single correctCoordination Compounds

Identify the correct statements from the following:
A.

[\text{Fe}(\text{C}_2\text{O}_4)_3]^{3-}

is the most stable complex among

[\text{Fe(OH)}_6]^{3-}

[\text{Fe}(\text{C}_2\text{O}_4)_3]^{3-}

and

[\text{Fe(SCN)}_6]^{3-}

.
B. The stability of

[\text{Cu(NH}_3)_4]^{2+}

is greater than that of

[\text{Cu(en)}_2]^{2+}

.
C. The hybridization of Fe in

\text{K}_4[\text{Fe(CN)}_6]

d^2 sp^3

.
D.

[\text{Fe(NO}_2)_3\text{Cl}_3]^{3-}

exhibits linkage isomerism.
E.

\text{NO}_2^-

and

\text{SCN}^-

ligands are NOT ambidentate ligands.
Choose the correct answer from the options given below:

(A)

A, B, C, D and E

(B)

B, C and D only

(C)

A, C and D only

(D)

A, C and E only

SolutionAnswer: Option 3A, C and D only

Approach:

Test each statement against the chelate effect, hybridization of low-spin Fe(II) hexacyano complex, linkage isomerism criteria and ambidentate behaviour of

\text{NO}_2^-

\text{SCN}^-

Step 1:Statement A: among

[\text{Fe(OH)}_6]^{3-}

[\text{Fe}(\text{C}_2\text{O}_4)_3]^{3-}

and

[\text{Fe(SCN)}_6]^{3-}

, the oxalato complex uses a chelating bidentate ligand and is therefore the most stable.

\text{C}_2\text{O}_4^{2-}\;\text{bidentate chelate}\Rightarrow\text{highest stability}

Step 2:Statement B: ethylenediamine is bidentate while ammonia is monodentate, so the en complex is more stable than the ammine complex.

[\text{Cu(en)}_2]^{2+}>[\text{Cu(NH}_3)_4]^{2+}

Step 3:Statement C: in

\text{K}_4[\text{Fe(CN)}_6]

the metal centre is

\text{Fe}^{2+}

(

d^6

), and

\text{CN}^-

is a strong-field ligand giving a low-spin octahedral complex.

d^6\;\text{low spin, octahedral}\Rightarrow d^2sp^3

Step 4:Statement D:

\text{NO}_2^-

is ambidentate (binds through N as nitro or O as nitrito), so a complex containing

\text{NO}_2^-

ligands exhibits linkage isomerism.

[\text{Fe(NO}_2)_3\text{Cl}_3]^{3-}\Rightarrow\text{nitro/nitrito linkage isomers}

Step 5:Statement E:

\text{NO}_2^-

(nitro/nitrito) and

\text{SCN}^-

(thiocyanato-S/isothiocyanato-N) are textbook ambidentate ligands; the assertion that they are NOT ambidentate is false.

\text{NO}_2^-, \text{SCN}^-\;\text{are ambidentate}

Step 6:Compile the correct statements.

\text{Correct: A, C, D}

Final answer: A, C and D only

Q62Single correctPurification and Characterisation of Organic Compounds

Match List - I with List - II.

List - I (Purification technique)	List - II (Used to separate)
A. Simple distillation	I. Steam volatile compound
B. Fractional distillation	II. Two liquids with large difference in boiling points
C. Steam distillation	III. Liquid decomposing at its boiling point
D. Distillation under reduced pressure	IV. Two liquids with close boiling points

(A)

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

(B)

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

(C)

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

(D)

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

Q63Single correctHydrocarbons

IUPAC name of the some alkenes are given below. Find out the correct stability order.
A. 2-Methylbut-2-ene
B. cis-But-2-ene
C. 2,3-Dimethylbut-2-ene
D. Prop-1-ene
Choose the correct answer from the options given below:

(A)

\displaystyle C > A > B > D

(B)

\displaystyle C > A > D > B

(C)

\displaystyle B > D > A > C

(D)

\displaystyle A > B > C > D

Q64Single correctHydrocarbons

Identify the correct IUPAC name of hydrocarbon (x) containing three primary carbon atoms and with molar mass

72\,\text{g mol}^{-1}

(A)

1,1-Dimethylcyclopropane

(B)

2,2-Dimethylpropane

(C)

2-Methylbutane

(D)

n-pentane

Q65Single correctOrganic Compounds Containing Halogens

Complete the following reaction sequence and give the name of major product 'P'.

Propanenitrile (CH3-CH2-C≡N) undergoes a four-step sequence: (i) OH-/H2O/Δ; (ii) H3O+; (iii) Cl2/Red P; (iv) H2O to give major product P.

(A)

2-Chloropropanoic acid

(B)

3-Chloropropanoic acid

(C)

1-Chloropropane

(D)

2-Chloropropane

Q66Single correctOrganic Compounds Containing Oxygen

Given below are two statements:

(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

Q67Single correctOrganic Compounds Containing Nitrogen

Given below are two statements: Statement I: Heating benzamide with bromine in an ethanolic solution of sodium hydroxide will give benzylamine. Statement II: Nitration of aniline with

\text{HNO}_3 / \text{H}_2\text{SO}_4

at 288 K produces m-nitroaniline in higher amount than o-nitroaniline (pH adjusted). 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

Q68Single correctBiomolecules

Identify the incorrect statement about tertiary structure of proteins.

(A)

They can be fibrous or globular in structure.

(B)

The main forces that stabilize the structure are hydrogen bonding, disulphide links, van der Waals and electrostatic forces of attraction.

(C)

The structure remains intact when exposed to pH changes.

(D)

A linear polypeptide chain will convert to a secondary structure and then further folding of the secondary structure will convert to tertiary structure.

Q69Single correctBiomolecules

Given below are two statements:

(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

Q70Single correctPrinciples Related to Practical Chemistry

A paper dipped in a dil.

\text{H}_2\text{SO}_4

solution of 'X' upon treatment with

\text{SO}_2

gas turns into green. The compound 'X' is:

(A)

KI-starch

(B)

\displaystyle \text{KMnO}_4

(C)

\displaystyle \text{Pb(CH}_3\text{COO)}_2

(D)

\displaystyle \text{K}_2\text{Cr}_2\text{O}_7

Q71NumericalCoordination Compounds

The total number of unpaired electrons present in the

d^3, d^4

(low spin),

d^5

(high spin),

d^6

(high spin) and

d^7

(low spin) octahedral complex systems is ____.

Q72NumericalOrganic Compounds Containing Halogens

RMgI when treated with ice cold water liberated a gas which occupied

1.4\,\text{dm}^3 / \text{g}

at STP. The gas produced is further reacted with iodine in presence of

\text{HIO}_3

to give compound (X). Compound (X) in presence of Na and dry ether produced compound (Y). Molar mass of compound (Y) is ____

\text{g mol}^{-1}

. (Nearest integer)

Q73NumericalSolutions

20 g hemoglobin in a 1 L aqueous solution (A) at 300 K is separated from pure water by semi permeable membrane. At equilibrium the height of solution in a tube dipped in a solution (A) is found to be 80.0 mm higher than the tube dipped in water. The molar mass of hemoglobin is ____

\text{kg mol}^{-1}

. (Nearest integer) (Given:

g = 10\,\text{m s}^{-2}

R = 8.3\,\text{kPa dm}^3\text{K}^{-1}\text{mol}^{-1}

, density of solution

= 1000\,\text{kg m}^{-3}

)

Q74NumericalElectrochemistry

At 298 K, the molar conductivity of

x\%(w/w)

MX solution (aqueous) is

123.5\,\text{S cm}^2\text{mol}^{-1}

. The conductance of same solution is

1.9 \times 10^{-3}\,\text{S}

. The value of x is ____

\times 10^{-2}

. (Given: cell constant

= 1.3\,\text{cm}^{-1}

; molar mass of MX is

75\,\text{g mol}^{-1}

, density of aqueous solution of MX at 298 K is

1.0\,\text{g mL}^{-1}

)

Q75NumericalChemical Kinetics

For a reaction

A \rightarrow P

at T\,K, the half life

(t_{1/2})

is plotted as a function of initial concentration

[A]_0

of A as given below.

JEE Main 2026 April 05, Shift 2 Question Paper with Solutions

Physics25 questions

Chemistry25 questions

Mathematics24 questions

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