NTA JEE Mains 04th April 2024 Shift 1

The de-Broglie's wavelength of an electron in the 4th orbit is ______ $$\pi a_0$$. ($$a_0$$ = Bohr's radius)

Number of molecules/species from the following having one unpaired electron is ______. $$O_2,\ O_2^{-1},\ NO,\ CN^{-1},\ O_2^{2-}$$

The enthalpy of formation of ethane (C₂H₆) from ethylene by addition of hydrogen where the bond-energies of C−H, C−C, C=C, H−H are 414 kJ, 347 kJ, 615 kJ and 435 kJ respectively is ______ kJ.

Only 2 mL of KMnO₄ solution of unknown molarity is required to reach the end point of a titration of 20 mL of oxalic acid (2M) in acidic medium. The molarity of KMnO₄ solution should be ______ M.

The number of different chain isomers for C₇H₁₆ is ______.

2.5 g of a non-volatile, non-electrolyte is dissolved in 100 g of water at 25°C. The solution showed a boiling point elevation by 2°C. Assuming the solute concentration is negligible with respect to the solvent concentration, the vapor pressure of the resulting aqueous solution is ______ mm of Hg (nearest integer). [Given: Kb = 0.52 K·kgmol⁻¹, 1 atm = 760 mm Hg, molar mass of water = 18 g mol⁻¹]

Consider the following transformation involving first order elementary reaction in each step at constant
temperature as shown below.

Some details of the above reactions are listed below.

Consider the following reaction: $$MnO_2 + KOH + O_2 \to A + H_2O$$. Product A in neutral or acidic medium disproportionates to give products B and C along with water. The sum of spin-only magnetic moment values of B and C is ______ BM. (nearest integer) [Given atomic number of Mn is 25]

The number of the correct reaction(s) among the following is ______

X g of ethylamine is subjected to reaction with NaNO₂/HCl followed by water; evolved dinitrogen gas which occupied 2.24 L volume at STP. X is ______ × 10⁻¹ g.