NTA JEE Main 29th July 2022 Shift 1

The minimum uncertainty in the speed of an electron in one dimensional region of length $$2a_0$$ (Where $$a_0$$ = Bohr radius = 52.9 pm) is _____ km s$$^{-1}$$ (Nearest integer) (Given: Mass of electron $$= 9.1 \times 10^{-31}$$ kg, Planck's constant $$h = 6.63 \times 10^{-34}$$ Js)

When 600 mL of 0.2 M $$HNO_3$$ is mixed with 400 mL of 0.1 M NaOH solution in a flask, the rise in temperature of the flask is _____ $$\times 10^{-2}$$ °C (Enthalpy of neutralisation = 57 kJ mol$$^{-1}$$ and Specific heat of water = 4.2 J K$$^{-1}$$ g$$^{-1}$$) (Neglect heat capacity of flask)

If the solubility product of PbS is $$8 \times 10^{-28}$$, then the solubility of PbS in pure water at 298 K is $$x \times 10^{-16}$$ mol L$$^{-1}$$. The value of x is _____ (Nearest integer) [Given $$\sqrt{2} = 1.41$$]

In bromination of Propyne, with Bromine 1,1,2,2-tetrabromopropane is obtained in 27% yield. The amount of 1,1,2,2-tetrabromopropane obtained from 1 g of Bromine in this reaction is _____ $$\times 10^{-1}$$ g. (Molar Mass: Bromine = 80 g/mol)

Ionic radii of cation $$A^+$$ and anion $$B^-$$ are 102 and 181 pm respectively. These ions are allowed to crystallize into an ionic solid. This crystal has cubic close packing for $$B^-$$. $$A^+$$ is present in all octahedral voids. The edge length of the unit cell of the crystal AB is _____ pm.

If $$O_2$$ gas is bubbled through water at 303 K, the number of millimoles of $$O_2$$ gas that dissolve in 1 litre of water is _____ (Nearest integer) (Given: Henry's Law constant for $$O_2$$ at 303 K is 46.82k bar and partial pressure of $$O_2$$ = 0.920 bar) (Assume solubility of $$O_2$$ in water is too small, nearly negligible)

Resistance of a conductivity cell (cell constant 129 m$$^{-1}$$) filled with 74.5 ppm solution of KCl is 100 $$\Omega$$ (labelled as solution 1). When the same cell is filled with KCl 149 ppm solution of KCl, the resistance is 50 $$\Omega$$ (labelled as solution 2). The ratio of molar conductivity of solution 1 and solution 2 is i.e. $$\frac{\Lambda_1}{\Lambda_2} = x \times 10^{-3}$$. The value of x is _____ (Given, molar mass of KCl is 74.5 g mol$$^{-1}$$)

The reaction between X and Y is first order with respect to X and zero order with respect to Y.

$$[Fe(CN)_6]^{3-}$$ should be an inner orbital complex. Ignoring the pairing energy, the value of crystal field stabilization energy for this complex is $$(-) \Delta_0$$ _____ .

In a linear tetrapeptide (Constituted with different amino acids), (number of amino acids) - (number of peptide bonds) is