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Chemistry

A $ \rightarrow $ D is an endothermic reaction occurring in three steps (elementary).
(i) A $ \rightarrow $ B $ \Delta H_i = +\text{ve} $
(ii) B $ \rightarrow $ C $ \Delta H_{ii} = -\text{ve} $
(iii) C $ \rightarrow $ D $ \Delta H_{iii} = -\text{ve} $
Which of the following graphs between potential energy (y-axis) vs reaction coordinate (x-axis) correctly represents the reaction profile of A $ \rightarrow $ D?

52.

Given below are two statements:
Statement I: Hybridisation, shape and spin only magnetic moment of $ \mathrm{K_3[Co(CO_3)_3]} $ is $ \mathrm{sp^3 d^2} $, octahedral and $ 4.9 \, \text{BM} $ respectively.
Statement II: Geometry, hybridisation and spin only magnetic moment values (BM) of the ions $ \left[ \mathrm{Ni(CN)_4} \right]^{2-} $, $ \left[ \mathrm{MnBr_4} \right]^{2-} $ and $ \left[ \mathrm{CoF_6} \right]^{3-} $ respectively are square planar, tetrahedral, octahedral; $ \mathrm{dsp^2} $, $ \mathrm{sp^3} $, $ \mathrm{sp^3 d^2} $ and $ 0 $, $ 5.9 $, $ 4.9 $.
In the light of the above statements, choose the correct answer from the options given below :

53.

Match List - I with List - II.

Choose the correct answer from the options given below :

54.

Given below are statements about some molecules/ions.
Identify the CORRECT statements.
A. The dipole moment value of $ \mathrm{NF_3} $ is higher than that of $ \mathrm{NH_3} $.
B. The dipole moment value of $ \mathrm{BeH_2} $ is $ 0 $.
C. The bond order of $ \mathrm{O_2^{2-}} $ and $ \mathrm{F_2} $ is same.
D. The formal charge on the central oxygen atom of ozone is $ -1 $.
E. In $ \mathrm{NO_2} $, all the three atoms satisfy the octet rule, hence it is very stable.
Choose the correct answer from the options given below:

55.

Given below are two statements:

Statement I: `C--Cl' bond is stronger in $\mathrm{CH_2=CH-Cl}$ than $\mathrm{CH_3-CH_2-Cl}$.

Statement II: The given optically active molecule,

on hydrolysis gives a solution that can rotate the plane polarized light.

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

56.

‘$ W $ g’ of a non-volatile electrolyte solid solute of molar mass ‘$ M $’ $ \mathrm{g \, mol^{-1}} $ when dissolved in $ 100 \, \mathrm{mL} $ water, decreases vapour pressure of water from $ 640 \, \mathrm{mm \, Hg} $ to $ 600 \, \mathrm{mm \, Hg} $. If aqueous solution of the electrolyte boils at $ 375 \, \mathrm{K} $ and $ K_b $ for water is $ 0.52 \, \mathrm{K \, kg \, mol^{-1}} $, then the mole fraction of the electrolyte solute ($ x_2 $) in the solution can be expressed as (Given: density of water = $ 1 \, \mathrm{g/mL} $ and boiling point of water = $ 373 \, \mathrm{K} $)

57.

Consider the following two reactions A and B.

Numerical value of [molar mass of $ x $ + molar mass of $ y $] is _______.

58.

Arrange the following carbanions in the decreasing order of stability.

Choose the correct answer from the options given below:

59.

A hydroxy compound ($ X $) with molar mass $ 122 \, \mathrm{g \, mol^{-1}} $ is acetylated with acetic anhydride, using a large excess of the reagent ensuring complete acetylation of all hydroxyl groups. The product obtained has a molar mass of $ 290 \, \mathrm{g \, mol^{-1}} $. The number of hydroxyl groups present in compound ($ X $) is:

60.

The correct stability order of the following diazonium salts is :

61.

Consider three metal chlorides $ x $, $ y $ and $ z $, where $ x $ is water soluble at room temperature, $ y $ is sparingly soluble in water at room temperature and $ z $ is soluble in hot water. $ x $, $ y $ and $ z $ are respectively:

62.

A student is given one compound among the following compounds that gives positive test with Tollen's reagent.

The compound is:

63.

Among the following, the CORRECT combinations are

$ \text{A.}\ \mathrm{IF_3} \rightarrow \text{T-shaped}\ (sp^3d) $
$ \text{B.}\ \mathrm{IF_5} \rightarrow \text{Square pyramidal}\ (sp^3d^2) $
$ \text{C.}\ \mathrm{IF_7} \rightarrow \text{Pentagonal bipyramidal}\ (sp^3d^3) $
$ \text{D.}\ \mathrm{ClO_4^-} \rightarrow \text{Square planar}\ (sp^2d) $

Choose the correct answer from the options given below:

64.

A solution is prepared by dissolving $ 0.3 \, \text{g} $ of a non-volatile non-electrolyte solute 'A' of molar mass $ 60 \, \text{g mol}^{-1} $ and $ 0.9 \, \text{g} $ of a non-volatile non-electrolyte solute 'B' of molar mass $ 180 \, \text{g mol}^{-1} $ in $ 100 \, \text{mL} $ $ \mathrm{H_2O} $ at $ 27^{\circ}\mathrm{C} $. Osmotic pressure of the solution will be $ [\text{Given: } R = 0.082 \, \mathrm{L\, atm\, K^{-1}\, mol^{-1}}] $

65.

Consider a mixture 'X' which is made by dissolving $ 0.4 $ mol of $[\mathrm{Co(NH_3)_5SO_4}]Br$ and $ 0.4 $ mol of $[\mathrm{Co(NH_3)_5Br}]SO_4$ in water to make $ 4 \, \mathrm{L} $ of solution. When $ 2 \, \mathrm{L} $ of mixture 'X' is allowed to react with excess of $ \mathrm{AgNO_3} $, it forms precipitate 'Y'. The rest $ 2 \, \mathrm{L} $ of mixture 'X' reacts with excess $ \mathrm{BaCl_2} $ to form precipitate 'Z'. Which of the following statements is CORRECT?

66.

Match List - I with List - II.

Choose the correct answer from the options given below:

67.

Given below are two statements:

Statement I: $ \mathrm{K > Mg > Al > B} $ is the correct order in terms of metallic character.

Statement II: Atomic radius is always greater than the ionic radius for any element.

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

68.

At $ 27^\circ \mathrm{C} $ in presence of a catalyst, activation energy of a reaction is lowered by $ 10 \, \mathrm{kJ \, mol^{-1}} $. The logarithm of ratio of $ \dfrac{k(\text{catalysed})}{k(\text{uncatalysed})} $ is……
(Consider that the frequency factor for both the reactions is same)

69.

Arrange the following alkenes in decreasing order of stability.

Choose the correct answer from the options given below:

70.

Given below are two statements:

Statement I: The number of paramagnetic species among $ [\mathrm{CoF_6}]^{3-} $, $ [\mathrm{TiF_6}]^{3-} $, $ \mathrm{V_2O_5} $ and $ [\mathrm{Fe(CN)_6}]^{3-} $ is $ 3 $.

Statement II: $ \mathrm{K_4[Fe(CN)_6] < K_3[Fe(CN)_6] < (Fe(H_2O)_6)SO_4 \cdot H_2O < (Fe(H_2O)_6)Cl_3} $ is the correct order in terms of number of unpaired electron(s) present in the complexes.

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

71.

$ X $ and $ Y $ are the number of electrons involved, respectively during the oxidation of $ \mathrm{I^-} $ to $ \mathrm{I_2} $, and of $ \mathrm{S^{2-}} $ to $ \mathrm{S} $ by acidified $ \mathrm{K_2Cr_2O_7} $. The value of $ X + Y $ is ________.

72.

Consider two Group IV metal ions $ X^{2+} $ and $ Y^{2+} $.
A solution containing $ 0.01 \, \text{M} \, X^{2+} $ and $ 0.01 \, \text{M} \, Y^{2+} $ is saturated with $ H_2S $. The pH at which the metal sulphide $ YS $ will form as a precipitate is _______. (Nearest integer)
(Given: $ K_{sp}(XS) = 1 \times 10^{-22} $ at $ 25^\circ \text{C} $, $ K_{sp}(YS) = 4 \times 10^{-16} $ at $ 25^\circ \text{C} $, $ [H_2S] = 0.1 \, \text{M} $ in solution, $ K_{a1} \times K_{a2}(H_2S) = 1.0 \times 10^{-21} $, $ \log 2 = 0.30 $, $ \log 3 = 0.48 $, $ \log 5 = 0.70 $)

73.

Electricity is passed through an acidic solution of $ Cu^{2+} $ till all the $ Cu^{2+} $ was exhausted, leading to the deposition of $ 300 \, \text{mg} $ of Cu metal. However, a current of $ 600 \, \text{mA} $ was continued to pass through the same solution for another $ 28 $ minutes by keeping the total volume of the solution fixed at $ 200 \, \text{mL} $. The total volume of oxygen evolved at STP during the entire process is _______ $ \text{mL} $. (Nearest integer)
[Given:
$ Cu^{2+}(aq) + 2e^- \rightarrow Cu(s) \quad E^\circ_{\text{red}} = +0.34 \, \text{V} $
$ O_2(g) + 4H^+ + 4e^- \rightarrow 2H_2O \quad E^\circ_{\text{red}} = +1.23 \, \text{V} $
Molar mass of Cu $ = 63.54 \, \text{g mol}^{-1} $
Molar mass of $ O_2 = 32 \, \text{g mol}^{-1} $
Faraday Constant $ = 96500 \, \text{C mol}^{-1} $
Molar volume at STP $ = 22.4 \, \text{L} $]

74.

In Dumas method for estimation of nitrogen, $ 0.50 \, \text{g} $ of an organic compound gave $ 70 \, \text{mL} $ of nitrogen collected at $ 300 \, \text{K} $ and $ 715 \, \text{mm} $ pressure. The percentage of nitrogen in the organic compound is ______ $ \% $. (Aqueous tension at $ 300 \, \text{K} $ is $ 15 \, \text{mm} $.)

75.

The hydrogen spectrum consists of several spectral lines in Lyman series $ (L_1, L_2, L_3, \ldots; \, L_1 $ has lowest energy among Lyman series). Similarly it consists of several spectral lines in Balmer series $ (B_1, B_2, B_3, \ldots; \, B_1 $ has lowest energy among Balmer lines). The energy of $ L_1 $ is $ x $ times the energy of $ B_1 $. The value of $ x $ is _______ $ \times 10^{-1} $. (Nearest integer)

JEE MAIN 2026 24TH Jan Morning Shift

Mathematics Physics Chemistry

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‘$ W $ g’ of a non-volatile electrolyte solid solute of molar mass ‘$ M $’ $ \mathrm{g \, mol^{-1}} $ when dissolved in $ 100 \, \mathrm{mL} $ water, decreases vapour pressure of water from $ 640 \, \mathrm{mm \, Hg} $ to $ 600 \, \mathrm{mm \, Hg} $. If aqueous solution of the electrolyte boils at $ 375 \, \mathrm{K} $ and $ K_b $ for water is $ 0.52 \, \mathrm{K \, kg \, mol^{-1}} $, then the mole fraction of the electrolyte solute ($ x_2 $) in the solution can be expressed as (Given: density of water = $ 1 \, \mathrm{g/mL} $ and boiling point of water = $ 373 \, \mathrm{K} $)

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JEE Mains | PYQ