NTA JEE Main 27th June 2022 Shift 1

If the uncertainty in velocity and position of a minute particle in space are, $$2.4 \times 10^{-26}$$ (ms$$^{-1}$$) and $$10^{-7}$$ (m) respectively. The mass of the particle in g is ______ (Nearest integer)
(Given : $$h = 6.626 \times 10^{-34}$$ Js)

$$2NOCl(g) \rightleftharpoons 2NO(g) + Cl_2(g)$$
In an experiment, $$2.0$$ moles of NOCl was placed in a one-litre flask and the concentration of NO after equilibrium established, was found to be $$0.4$$ mol/L. The equilibrium constant at $$30°$$C is ______ $$\times 10^{-4}$$.

Total number of possible stereoisomers of dimethyl cyclopentane is ______

Metal deficiency defect is shown by $$Fe_{0.93}O$$. In the crystal, some $$Fe^{2+}$$ cations are missing and loss of positive charge is compensated by the presence of $$Fe^{3+}$$ ions. The percentage of $$Fe^{2+}$$ ions in the $$Fe_{0.93}O$$ crystals is ______ (Nearest integer)

Two elements A and B which form $$0.15$$ moles of $$A_2B$$ and $$AB_3$$ type compounds. If both $$A_2B$$ and $$AB_3$$ weigh equally, then the atomic weight of A is ______ times of atomic weight of B.

$$2$$ g of a non-volatile non-electrolyte solute is dissolved in $$200$$ g of two different solvents A and B whose ebullioscopic constants are in the ratio of $$1 : 8$$. The elevation in boiling points of A and B are in the ratio $$\frac{x}{y}$$ ($$x : y$$). The value of $$y$$ is ______ (Nearest Integer)

The limiting molar conductivities of NaI, $$NaNO_3$$ and $$AgNO_3$$ are $$12.7, 12.0$$ and $$13.3$$ mS m$$^2$$ mol$$^{-1}$$, respectively (all at $$25°$$C). The limiting molar conductivity of AgI at this temperature is ______ mS m$$^2$$ mol$$^{-1}$$.

The rate constant for a first order reaction is given by the following equation :
$$\ln k = 33.24 - \frac{2.0 \times 10^4 K}{T}$$
The Activation energy for the reaction is given by ______ kJ mol$$^{-1}$$. (In Nearest integer) (Given : $$R = 8.3$$ J K$$^{-1}$$ mol$$^{-1}$$)

The number of statement(s) correct from the following for Copper is/are
(A) Cu(II) complexes are always paramagnetic
(B) Cu(I) complexes are generally colourless
(C) Cu(I) is easily oxidized
(D) In Fehling solution, the active reagent has Cu(I)

Acidified potassium permanganate solution oxidises oxalic acid. The spin-only magnetic moment of the mangenese product formed from the above reaction is ______ B.M. (Nearest Integer)