NTA JEE Mains 06th April 2024 Shift 2

Consider the following reactions $$NiS + HNO_3 + HCl \rightarrow A + NO + S + H_2O$$. $$A + NH_4OH + H_3C - C(=N-OH) - C(=N-OH) - H_3C \rightarrow B + NH_4Cl + H_2O$$. The number of protons that do not involve in hydrogen bonding in the product $$B$$ is ___________.

For hydrogen atom, energy of an electron in first excited state is $$-3.4 \text{ eV}$$, K.E. of the same electron of hydrogen atom is $$x \text{ eV}$$. Value of $$x$$ is ___________ $$\times 10^{-1} \text{ eV}$$. (Nearest integer)

An amine (X) is prepared by ammonolysis of benzyl chloride. On adding p-toluenesulphonyl chloride to it the solution remains clear. Molar mass of the amine (X) formed is ___________ $$\text{gmol}^{-1}$$. (Given molar mass in $$\text{gmol}^{-1}$$: C : 12, H : 1, O : 16, N : 14)

For the reaction at $$298 \text{ K}$$, $$2A + B \rightarrow C$$. $$\Delta H = 400 \text{ kJ mol}^{-1}$$ and $$\Delta S = 0.2 \text{ kJ mol}^{-1} \text{K}^{-1}$$. The reaction will become spontaneous above ___________ K.

Consider the two different first order reactions given below $$A + B \rightarrow C$$ (Reaction 1) $$P \rightarrow Q$$ (Reaction 2). The ratio of the half life of Reaction 1 : Reaction 2 is $$5 : 2$$. If $$t_1$$ and $$t_2$$ represent the time taken to complete $$\frac{2}{3}^{rd}$$ and $$\frac{4}{5}^{th}$$ of Reaction 1 and Reaction 2, respectively, then the value of the ratio $$t_1 : t_2$$ is ___________ $$\times 10^{-1}$$ (nearest integer). [Given : $$\log_{10}(3) = 0.477$$ and $$\log_{10}(5) = 0.699$$]

Among $$VO_2^{+}$$, $$MnO_4^{-}$$ and $$Cr_2O_7^{2-}$$, the spin-only magnetic moment value of the species with least oxidising ability is ___________ BM (Nearest integer). (Given atomic number $$V = 23, Mn = 25, Cr = 24$$)

Number of carbocations from the following that are not stabilized by hyperconjugation is __________

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When '$$x$$' $$\times 10^{-2}$$ mL methanol (molar mass $$= 32 \text{ g}$$; density $$= 0.792 \text{ g/cm}^3$$) is added to $$100 \text{ mL}$$ water (density $$= 1 \text{ g/cm}^3$$), the following diagram is obtained. $$x =$$ ___________ (nearest integer).

[Given : Molal freezing point depression constant of water at $$273.15 \text{ K}$$ is $$1.86 \text{ K kg mol}^{-1}$$]

Total number of species from the following with central atom utilising $$sp^2$$ hybrid orbitals for bonding is ___________. $$NH_3, SO_2, SiO_2, BeCl_2, C_2H_2, C_2H_4, BCl_3, HCHO, C_6H_6, BF_3, C_2H_4Cl_2$$

 The ratio of number of oxygen atoms to bromine atoms in the product Q is ___________ $$\times 10^{-1}$$.