NTA JEE Mains 5th April Shift 2 2026

The total number of unpaired electrons present in the $$d^3$$, $$d^4$$ (low spin), $$d^5$$ (high spin), $$d^6$$ (high spin), and $$d^7$$ (low spin) octahedral complexes systems is :

$$\text{RMgI}$$ when treated with ice cold water liberated a gas which occupied $$1.4\,\text{dm}^3/\text{g}$$ at STP. The gas produced is further reacted with iodine in presence of $$\text{HIO}_3$$ to give compound (X). Compound (X) in presence of Na and dry ether produced compound (Y). Molar mass of compound (Y) is $$\underline{\hspace{2cm}}$$ $$\text{g mol}^{-1}$$. (Nearest integer)

20 g hemoglobin in a 1 L aqueous solution (A) at 300 K is separated from pure water by a semi-permeable membrane. At equilibrium, the height of solution in a tube dipped in solution (A) is found to be $$80.0 mm$$ higher than the tube dipped in water.
The molar mass of hemoglobin is ______ $$kg mol^{-1}$$. (Nearest integer)
(Given: $$g = 10 \, m \, s^{-2}$$, $$R = 8.3 \, kPa \, dm^{3} \, K^{-1} \, mol^{-1}$$, density of solution = $$1000 \, kg \, m^{-3}$$)

At 298 K, the molar conductivity of an $$x\%$$ (w/w) MX solution is 123.5 S cm$$^{2} mol^{-1}$$. The conductance of same solution is $$1.9 \times 10^{-3} S$$. The value of x is ______ $$\times 10^{-2}$$.
(Given: Cell constant = 1.3 cm$$^{-1}$$, molar mass of MX = 75 $$g mol^{-1}$$, density of aqueous solution of $$MX$$ at 298 K is 1.0 $$g mL^{-1}$$)

For the reaction $$A \to p$$ at  $$T K$$, the half  life ($$t_{1/2}$$) is plotted as a function of initial concentration $$[A]_o$$ of  $$A$$ as give below.

The value of $$x$$ in the given figure is ______ s (Nearest integer)