NTA JEE Main 8th April 2019 Shift 2

The percentage composition of carbon by mole in methane is:

0.27 g of a long chain fatty acid was dissolved in 100 cm$$^3$$ of hexane. 10 mL of this solution was added dropwise to the surface of water in a round watch glass. Hexane evaporates and a monolayer is formed. The distance from edge to centre of the watch glass is 10 cm. What is the height of the monolayer?
[Density of fatty acid = 0.9 g cm$$^{-3}$$; $$\pi = 3$$]

If p is the momentum of the fastest electron ejected from a metal surface after the irradiation of light having wavelength $$\lambda$$, then for 1.5 p momentum of the photoelectron, the wavelength of the light should be: (Assume kinetic energy of ejected photoelectron to be very high in comparison to work function)

The IUPAC symbol for the element with atomic number 119 would be:

Among the following molecules/ions, $$C_2^{2-}$$, $$N_2^{2-}$$, $$O_2^{2-}$$, $$O_2$$, which one is diamagnetic and has the shortest bond length?

5 moles of an ideal gas at 100 K are allowed to undergo reversible compression till its temperature becomes 200 K. If $$C_V = 28$$ J K$$^{-1}$$, calculate $$\Delta U$$ and $$\Delta pV$$ for the process. (R = 8.0 J K$$^{-1}$$ mol$$^{-1}$$)

For the following reaction, equilibrium constants are given:
$$S(s) + O_2(g) \rightleftharpoons SO_2(g); \quad K_1 = 10^{52}$$
$$2S(s) + 3O_2(g) \rightleftharpoons 2SO_3(g); \quad K_2 = 10^{129}$$
The equilibrium constant for the reaction, $$2SO_2(g) + O_2(g) \rightleftharpoons 2SO_3(g)$$ is:

The strength of 11.2 volume solution of H$$_2$$O$$_2$$ is:
[Given that, the molar mass of H = 1 g mol$$^{-1}$$ and O = 16 g mol$$^{-1}$$]

The covalent alkaline earth metal halide X = Cl, Br, I is:

Which of the following compounds will show the maximum 'enol' content?