NTA JEE Mains 9th April 2024 Shift 2

Based on Heisenberg's uncertainty principle, the uncertainty in the velocity of the electron to be found within an atomic nucleus of diameter $$10^{-15} \text{ m}$$ is ______ $$\times 10^9 \text{ ms}^{-1}$$ (nearest integer) [Given : mass of electron $$= 9.1 \times 10^{-31} \text{ kg}$$, Planck's constant $$(h) = 6.626 \times 10^{-34} \text{ Js}$$] (Value of $$\pi = 3.14$$)

Total number of electrons present in $$(\pi^*)$$ molecular orbitals of $$O_2$$, $$O_2^+$$ and $$O_2^-$$ is ______.

When $$\Delta H_{vap} = 30 \text{ kJ/mol}$$ and $$\Delta S_{vap} = 75 \text{ J mol}^{-1} \text{K}^{-1}$$, then the temperature of vapour, at one atmosphere is ______ K.

In the given TLC, the distance of spot A & B are $$5 \text{ cm}$$ & $$7 \text{ cm}$$, from the bottom of TLC plate, respectively. $$R_f$$ value of B is $$x \times 10^{-1}$$ times more than A. The value of $$x$$ is ______.

Number of compounds from the following which cannot undergo Friedel-Crafts reactions is: ________. toluene, nitrobenzene, xylene, cumene, aniline, chlorobenzene, $$m$$-nitroaniline, $$m$$-dinitrobenzene

The vapour pressure of pure benzene and methyl benzene at $$27°C$$ is given as 80 Torr and 24 Torr, respectively. The mole fraction of methyl benzene in vapour phase, in equilibrium with an equimolar mixture of those two liquids (ideal solution) at the same temperature is ______ $$\times 10^{-2}$$ (nearest integer)

Consider the following first order gas phase reaction at constant temperature $$A(g) \to 2B(g) + C(g)$$. If the total pressure of the gases is found to be 200 torr after 23 sec. and 300 torr upon the complete decomposition of A after a very long time, then the rate constant of the given reaction is ______ $$\times 10^{-2} \text{ s}^{-1}$$ (nearest integer) [Given : $$\log_{10}(2) = 0.301$$]

Number of oxygen atoms present in chemical formula of fuming sulphuric acid is ______.

A transition metal '$$M$$' among $$Sc, Ti, V, Cr, Mn$$ and $$Fe$$ has the highest second ionisation enthalpy. The spin-only magnetic moment value of $$M^+$$ ion is ______ BM (Near integer) (Given atomic number $$Sc : 21, Ti : 22, V : 23, Cr : 24, Mn : 25, Fe : 26$$)

$$M^{2+} + H_2S \to A \text{ (Black precipitate)} + \text{by product}$$
$$A + \text{aqua regia} \to B + NOCl + S + H_2O$$
$$B + KNO_2 + CH_3COOH \to C + \text{by product}$$
Consider the following test for a group-IV cation. The spin-only magnetic moment value of the metal complex C is ______ BM (Nearest integer)