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Chemistry

An oxide of iron contains \( 69.9\% \) iron, it empirical formula, is:
(Given: Molar mass of Fe and O are \( 56 \) and \( 16\,\text{g mol}^{-1} \) respectively)

52.

If shortest wavelength of hydrogen atom in Lyman series is \\( x \\), then longest wavelength in Balmer series of \\( \\mathrm{He^+} \\) is:

53.

Q. 53
Match the List-I with List-II.

List-I Orbital	List-II Radial nodes and nodal Plane
A. \\( 2s \\)	II. \\( 1 \\) Radial node + Two nodal planes
B. \\( 3s \\)	I. \\( 1 \\) Radial node + One nodal plane
C. \\( 3p \\)	III. \\( 2 \\) Radial nodes + No nodal plane
D. \\( 4d \\)	IV. \\( 1 \\) Radial node + No nodal plane

Choose the correct answer from the option given below:

54.

\\( A=[\\mathrm{SO_3^{2-}},\\,\\mathrm{CO_3^{2-}}],\\; B=[\\mathrm{O_2^{2-}},\\,\\mathrm{F_2}],\\; C=[\\mathrm{CN^-},\\,\\mathrm{CO}],\\; D=[\\mathrm{NH_3},\\,\\mathrm{H_3O^+}] \\) and \\( E=[\\mathrm{MnO_4^{2-}},\\,\\mathrm{CrO_4^{2-}}] \\) that do not have similar Lewis dot structure are:

55.

Arrange the following isothermal processes in order of the magnitude of the work \\( (p - V) \\) involved between states \\( 1 \\) and \\( 2 \\).
(A) Expansion in single stage \\( w_A \\)
(B) Expansion in multi stages \\( w_B \\)
(C) Compression in single stage \\( w_C \\)
(D) Compression in single stage \\( w_D \\)

56.

When \\( 0.25 \\) moles of a non-volatile, non-ionizable solute was dissolved in \\( 1 \\) mole of a solvent the vapor pressure of solution was \\( x \\) % of vapor pressure of pure solvent. What is \\( x \\)%?

57.

One mole each of \\( \\mathrm{He} \\) and \\( \\mathrm{A(g)} \\) are taken in a \\( 10 \\, \\mathrm{L} \\) closed flask and heated to \\( 400 \\, \\mathrm{K} \\) to establish the following equilibrium.
\\( \\mathrm{A(g)} \\rightleftharpoons \\mathrm{B(g)} \\)
\\( K_c \\) for this reaction at \\( 400 \\, \\mathrm{K} \\) is \\( 4.0 \\). The partial pressure (in atm) of \\( \\mathrm{He} \\) and \\( \\mathrm{B(g)} \\) are respectively (at equilibrium).
(Assume \\( \\mathrm{He} \\, \\mathrm{A(g)} \\) and \\( \\mathrm{B(g)} \\) behave as ideal gases)
(Given: \\( R = 0.082 \\, \\text{L atm K}^{-1} \\, \\text{mol}^{-1} \\))

58.

Consider the following data.

Electrolyte	\( \Lambda^{\circ}_{m} \) (\( \text{S cm}^2 \text{ mol}^{-1} \))
BaCl\(_2\)	\( x1 \)
H\(_2\)SO\(_4\)	\( x2 \)
HCl	\( x3 \)

BaSO\(_4\) is sparingly soluble in water. If the conductivity of the saturated BaSO\(_4\) solution is \( x \) \( \text{S cm}^{-1} \) then the solubility product of BaSO\(_4\) can be given as (Here \( \lambda_m = \Lambda^{\circ}_{m} \))

59.

Given below are two statements:
Statement I: Aluminium is more electropositive than thallium as the standard electrode potential value of \( E^{\circ}_{\text{Al}^{3+}/\text{Al}} \) is negative and \( E^{\circ}_{\text{Tl}^{3+}/\text{Tl}} \) is positive.
Statement II: The sum of first three ionization enthalpies of boron is very high when compared to that of aluminium. Due to this reason boron forms covalent compounds only and aluminium forms \( \text{Al}^{3+} \) ion.
In the light of the above statements, choose the correct answer from the options given below

60.

The correct statements among the following are.
A. Basic vanadium oxide is used in the manufacture of \( \text{H}_2\text{SO}_4 \)
B. The spin-only magnetic moment value of the transition metal halide employed in Ziegler-Natta polymerization is \( 2.84 \) BM.
C. The p-block metal compound employed in Ziegler-Natta polymerization has the metal in \( +3 \) oxidation state.
D. The number of electrons present in the outer most ‘d’ orbital of metal halide employed in Wacker process is \( 8 \).

61.

Match the List-I with List-II.

List-I Electronic configuration of tetrahedral metal ion	List-II Crystal Field Stabilization Energy (\( \Delta_t \))
A. \( d^{2} \)	I. \( -0.6 \)
B. \( d^{4} \)	II. \( -0.8 \)
C. \( d^{6} \)	III. \( -1.2 \)
D. \( d^{8} \)	IV. \( -0.4 \)

Choose the correct answer from the options given below:

62.

Which of the following are true about the energy of the given d-orbital of a tetrahedral complex?
(A) \( d_{xy} = d_{xz} > d_{x^{2}-y^{2}} \)
(B) \( d_{xy} = d_{yz} > d_{z^{2}} \)
(C) \( d_{x^{2}-y^{2}} > d_{z^{2}} > d_{xz} \)
(D) \( d_{x^{2}-y^{2}} = d_{z^{2}} < d_{xz} \)
Choose the correct answer from the given below:

63.

\( R_f \) value for 2-methylpropene in a solvent system (Ethyl acetate + ether) is \( 0.42 \). 2-methylpropene is treated with dilute \( \text{H}_2\text{SO}_4 \) to give major organic product (X). \( R_f \) value of (X) in the same solvent system under identical condition will be:

64.

Given below are two statements:
Statement I: \( 2,6 \)-diethylcyclohexanone and \( 6 \)-methyl-\( 2 \)-n-propylcyclohexanone are metamers
Statement II: \( 2,2,6,6 \)-tetramethylcyclohexanone exhibits keto-enol tautomerism.
In the light of the above statements, choose the correct answer from the options given below:

65.

Given below are two statements:
Statement I: Methane can be prepared by decarboxylation of sodium ethanoate, Kolbe’s electrolysis of sodium acetate and reaction \(\mathrm{CH_3MgBr}\) of with water.
Statement II: Methane cannot be prepared from unsaturated hydrocarbons and by Wurtz reaction.
In the light of the above statements, choose the correct answer from the options given below:

66.

Given below are two statements:
Statement I: \( 3 \)-phenylpropene reacts with \( \text{HBr} \) and gives secondary alkyl bromide having a chiral carbon atom as the major product.
Statement II: Aryl chlorides and aryl cyanides can be prepared by Sandmeyer reactions as well as Gattermann reaction.
In the light of the above statements, choose the correct answer from the options given below:

67.

Consider the following sequence of reactions

The major product \( P \) is:

68.

Arrange the following compounds according to increasing order of boiling points.
\( \mathrm{n-C_4H_9OH (A)}, \mathrm{ n-C_4H_9NH_2 (B)}, \mathrm{ n-C_4H_{10} (C)} \) and \( \mathrm{C_2H_5NHC_2H_5 (D)} \).

69.

Match the LIST-I with LIST-II.

List-I Deficiency Disease	List-II Vitamin
A. Scurvy	I. Pyridoxine
B Convulsions	II. Vitamin A
C Cheilosis	III. Ascorbic Acid
D Xerophthalmia	IV. Riboflavin

Choose the correct answer from the options given below:

70.

Match the LIST-I with LIST-II.

Choose the correct answer from the options given below:

71.

First and second ionization enthalpies of lithium are \( 520 \, \text{kJ} \, \text{mol}^{-1} \) and \( 7297 \, \text{kJ} \, \text{mol}^{-1} \) respectively. Energy required to convert \( 3.5 \, \text{mg} \) lithium (g) into \( \text{Li}^{2+}(g) \) [\( \text{Li}(g) \rightarrow \text{Li}^{2+}(g) \)] is ________ \( \text{kJ} \, \text{mol}^{-1} \). (Nearest integer)
[Molar mass of Li = \( 7 \, \text{g} \, \text{mol}^{-1} \)]

72.

Consider the following sequence of reactions.

The percentage of nitrogen in the yellow product (X) formed is ________ %. (Nearest Integer)
(Given Molar mass in \( \text{g} \, \text{mol}^{-1} \) H: \( 1 \), C: \( 12 \), N: \( 14 \))

73.

\( 4.7 \, \text{g} \) of phenol is heated with \( \text{Zn} \) to give product X. If this reaction goes to \( 60\% \) completion then the number of moles of compound X formed will be ________ \( \times 10^{-2} \). (Nearest Integer)
(Given molar mass in \( \text{g} \, \text{mol}^{-1} \) : H: \( 1 \), C: \( 12 \), O: \( 16 \))

74.

Sucrose hydrolyses in acidic medium into glucose and fructose by first order rate law with \( t_{1/2} = 3 \) hour. The percentage of sucrose remaining after \( 6 \) hours is ________ (Nearest integer)
(Given : \( \log 2 = 0.3010 \) and \( \log 3 = 0.4771 \))

75.

Consider the reaction \( \text{X} \rightleftharpoons \text{Y} \) at \( 300 \, \text{K} \). If \( \Delta H^\theta \) and \( K \) are \( 28.40 \, \text{kJ} \, \text{mol}^{-1} \) and \( 1.8 \times 10^{-7} \) at the same temperature, then the magnitude of \( \Delta S^\theta\) for the reaction in \( \text{J K}^{-1} \text{ mol}^{-1} \) is ________ (Nearest integer)
(Given : \( R = 8.3 \, \text{J K}^{-1} \, \text{mol}^{-1} \), \( \ln 10 = 2.3 \), \( \log 3 = 0.48 \), \( \log 2 = 0.30 \))

JEE Main 2026 6th April Morning Shift

Mathematics Physics Chemistry

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