NTA JEE Main 24th January 2023 Shift 1

If wavelength of the first line of the Paschen series of hydrogen atom is 720 nm, then the wavelength of the second line of this series is _____ nm. (Nearest integer)

For independent process at 300 K.

The dissociation constant of acetic is $$x \times 10^{-5}$$. When 25 mL of 0.2 M CH$$_3$$COONa solution is mixed with 25 mL of 0.02 M CH$$_3$$COOH solution, the pH of the resultant solution is found to be equal to 5. The value of $$x$$ is _____.

Uracil is base present in RNA with the following structure. % of N in uracil is _____.

When Fe$$_{0.93}$$O is heated in presence of oxygen, it converts to Fe$$_2$$O$$_3$$. The number of correct statement/s from the following is _____.
A. The equivalent weight of Fe$$_{0.93}$$O is $$\frac{\text{Molecular weight}}{0.79}$$
B. The number of moles of Fe$$^{2+}$$ and Fe$$^{3+}$$ in 1 mole of Fe$$_{0.93}$$O is 0.79 and 0.14 respectively.
C. Fe$$_{0.93}$$O is metal deficient with lattice comprising of cubic closed packed arrangement of O$$^{2-}$$ ions.
D. The % composition of Fe$$^{2+}$$ and Fe$$^{3+}$$ in Fe$$_{0.93}$$O is 85% and 15% respectively.

5 g of NaOH was dissolved in deionized water to prepare a 450 mL stock solution. What volume (in mL) of this solution would be required to prepare 500 mL of 0.1 M solution? Given: Molar Mass of Na, O and H is 23, 16 and 1 g mol$$^{-1}$$ respectively

At 298 K, a 1 litre solution containing 10 mmol of Cr$$_2$$O$$_7^{2-}$$ and 100 mmol of Cr$$^{3+}$$ shows a pH of 3.0. Given: Cr$$_2$$O$$_7^{2-} \to$$ Cr$$^{3+}$$; E$$^0 = 1.330$$ V and $$\frac{2.303RT}{F} = 0.059$$ V. The potential for the half cell reaction is $$x \times 10^{-3}$$ V. The value of $$x$$ is _____.

The number of correct statement/s from the following is _____.
A. Larger the activation energy, smaller is the value of the rate constant.
B. The higher is the activation energy, higher is the value of the temperature coefficient.
C. At lower temperatures, increase in temperature causes more change in the value of k than at higher temperature.
D. A plot of ln k vs $$\frac{1}{T}$$ is a straight line with slope equal to $$\frac{-E_a}{R}$$

The d-electronic configuration of CoCl$$_4^{2-}$$ in tetrahedral crystal field is $$e^m t_2^n$$. The sum of m and number of unpaired electrons is

Number of moles of AgCl formed in the following reaction is _____.