NTA JEE Main 28th June 2022 Shift 1

If the work function of a metal is $$6.63 \times 10^{-19}$$ J, the maximum wavelength of the photon required to remove a photoelectron from the metal is ______ nm. Nearest integer
[Given : $$h = 6.63 \times 10^{-34}$$ J s, and $$c = 3 \times 10^{8}$$ m s$$^{-1}$$]

The hybridization of P exhibited in $$PF_5$$ is $$sp^x d^y$$. The value of $$y$$ is ______

$$4.0$$ L of an ideal gas is allowed to expand isothermally into vacuum until the total volume is $$20$$ L. The amount of heat absorbed in this expansion is ______ L atm.

A $$2.0$$ g sample containing $$MnO_2$$ is treated with HCl liberating $$Cl_2$$. The $$Cl_2$$ gas is passed into a solution of KI and $$60.0$$ mL of $$0.1$$ M $$Na_2S_2O_3$$ is required to titrate the liberated iodine. The percentage of $$MnO_2$$ in the sample is ______ Nearest integer
[Atomic masses (in u) Mn = 55; Cl = 35.5; O = 16, I = 127, Na = 23, K = 39, S = 32]

In the estimation of bromine, $$0.5$$ g of an organic compound gave $$0.40$$ g of silver bromide. The percentage of bromine in the given compound is ______ % (nearest integer)
(Relative atomic masses of Ag and Br are 108u and 80u, respectively).

The vapour pressures of two volatile liquids A and B at $$25°$$C are $$50$$ Torr and $$100$$ Torr, respectively. If the liquid mixture contains $$0.3$$ mole fraction of A, then the mole fraction of liquid B in the vapour phase is $$\frac{x}{17}$$. The value of $$x$$ is ______

The solubility product of a sparingly soluble salt $$A_2X_3$$ is $$1.1 \times 10^{-23}$$. If specific conductance of the solution is $$x \times 10^{-3}$$ S m$$^2$$ mol$$^{-1}$$. The value of $$x$$ is ______

The quantity of electricity in Faraday needed to reduce $$1$$ mol of $$Cr_2O_7^{2-}$$ to $$Cr^{3+}$$ is ______

For a first order reaction A $$\to$$ B, the rate constant, $$k = 5.5 \times 10^{-14}$$ s$$^{-1}$$. The time required for $$67\%$$ completion of reaction is $$x \times 10^{-1}$$ times the half life of reaction. The value of $$x$$ is ______ Nearest integer) (Given : $$\log 3 = 0.4771$$)

Number of complexes which will exhibit synergic bonding amongst, $$[Cr(CO)_6], [Mn(CO)_5]$$ and $$[Mn_2(CO)_{10}]$$ is ______