NTA JEE Main 29th January 2023 Shift 2

Assume that the radius of the first Bohr orbit of hydrogen atom is $$0.6$$ $$\text{\AA}$$. The radius of the third Bohr orbit of He$$^+$$ is ______ picometer. (Nearest Integer)

At 298 K
$$\text{N}_2(g) + 3\text{H}_2(g) \rightleftharpoons 2\text{NH}_3(g), K_1 = 4 \times 10^5$$
$$\text{N}_2(g) + \text{O}_2(g) \rightleftharpoons 2\text{NO}(g), K_2 = 1.6 \times 10^{12}$$
$$\text{H}_2(g) + \frac{1}{2}\text{O}_2(g) \rightleftharpoons \text{H}_2\text{O}(g), K_3 = 1.0 \times 10^{-13}$$
Based on above equilibria, the equilibrium constant of the reaction,
$$2\text{NH}_3(g) + \frac{5}{2}\text{O}_2(g) \rightleftharpoons 2\text{NO}(g) + 3\text{H}_2\text{O}(g)$$
is ______ $$\times 10^{-33}$$ (Nearest integer)

The volume of HCl, containing $$73$$ g L$$^{-1}$$, required to completely neutralise NaOH obtained by reacting $$0.69$$ g of metallic sodium with water, is ______ mL. (Nearest Integer)
(Given: molar Masses of Na, Cl, O, H are 23, 35.5, 16 and 1 g mol$$^{-1}$$ respectively)

On heating, LiNO$$_3$$ gives how many compounds among the following?
Li$$_2$$O, N$$_2$$, O$$_2$$, LiNO$$_2$$, NO$$_2$$

When $$0.01$$ mol of an organic compound containing $$60\%$$ carbon was burnt completely, $$4.4$$ g of CO$$_2$$ was produced. The molar mass of compound is ______ g mol$$^{-1}$$ (Nearest integer)

A metal M forms hexagonal close-packed structure. The total number of voids in $$0.02$$ mol of it is ______ $$\times 10^{21}$$ (Nearest integer)
(Given N$$_A = 6.02 \times 10^{23}$$)

The equilibrium constant for the reaction Zn(s) + Sn$$^{2+}$$(aq) $$\rightleftharpoons$$ Zn$$^{2+}$$(aq) + Sn(s) is $$1 \times 10^{20}$$ at 298 K. The magnitude of standard electrode potential of Sn/Sn$$^{2+}$$ if E$$^0_{\text{Zn}^{2+}/\text{Zn}} = -0.76$$ V is ______ $$\times 10^{-2}$$ V. (Nearest integer)
Given: $$\frac{2.303 RT}{F} = 0.059$$ V

For conversion of compound A $$\to$$ B, the rate constant of the reaction was found to be $$4.6 \times 10^{-5}$$ L mol$$^{-1}$$ s$$^{-1}$$. The order of the reaction is ______.

Total number of acidic oxides among N$$_2$$O$$_3$$, NO$$_2$$, N$$_2$$O, Cl$$_2$$O$$_7$$, SO$$_2$$, CO, CaO, Na$$_2$$O and NO is ______.

The denticity of the ligand present in the Fehling's reagent is ______.