NTA JEE Mains 8th April 2024 Shift 1

A hypothetical electromagnetic wave is shown below. The frequency of the wave is $$x \times 10^{19}$$ Hz. $$x =$$ ______ (nearest integer)

Number of molecules from the following which are exceptions to octet rule is ______ $$CO_2, NO_2, H_2SO_4, BF_3, CH_4, SiF_4, ClO_2, PCl_5, BeF_2, C_2H_6, CHCl_3, CBr_4$$

Consider the figure provided. 1 mol of an ideal gas is kept in a cylinder, fitted with a piston, at the position A, at $$18°C$$. If the piston is moved to position B, keeping the temperature unchanged, then '$$x$$' L atm work is done in this reversible process. $$x =$$ ______ L atm. (nearest integer) [Given: Absolute temperature $$= °C + 273.15$$, $$R = 0.08206 \text{ L atm mol}^{-1} \text{K}^{-1}$$]

The number of optical isomers in following compound is: ________

A solution containing $$10 \text{ g}$$ of an electrolyte $$AB_2$$ in $$100 \text{ g}$$ of water boils at $$100.52°C$$. The degree of ionization of the electrolyte $$(\alpha)$$ is ______ $$\times 10^{-1}$$. (nearest integer) [Given: Molar mass of $$AB_2 = 200 \text{ g mol}^{-1}$$, $$K_b$$ (molal boiling point elevation const. of water) $$= 0.52 \text{ K kg mol}^{-1}$$, boiling point of water $$= 100°C$$; $$AB_2$$ ionises as $$AB_2 \rightarrow A^{2+} + 2B^-$$]

Consider the following reaction $$A + B \rightarrow C$$. The time taken for A to become $$1/4^{th}$$ of its initial concentration is twice the time taken to become $$1/2$$ of the same. Also, when the change of concentration of $$B$$ is plotted against time, the resulting graph gives a straight line with a negative slope and a positive intercept on the concentration axis. The overall order of the reaction is ________

The 'spin only' magnetic moment value of $$MO_4^{2-}$$ is ______ BM. (Where M is a metal having least metallic radii among $$Sc, Ti, V, Cr, Mn$$ and $$Zn$$). (Given atomic number: $$Sc = 21, Ti = 22, V = 23, Cr = 24, Mn = 25$$ and $$Zn = 30$$)

Major product $$B$$ of the following reaction has ______ $$\pi$$-bond.

If $$279 \text{ g}$$ of aniline is reacted with one equivalent of benzenediazonium chloride, the maximum amount of aniline yellow formed will be ______ g. (nearest integer) (consider complete conversion).

Number of amine compounds from the following giving solids which are soluble in NaOH upon reaction with Hinsberg's reagent is ________