NTA JEE Main 1st September 2021 Shift 2

The number of atoms in 8 g of sodium is $$x \times 10^{23}$$. The value of x is _________. (Nearest integer)
Given: N$$_A$$ = $$6.02 \times 10^{23}$$ mol$$^{-1}$$, Atomic mass of Na = 23.0 u

A 50 watt bulb emits monochromatic red light of wavelength of 795 nm. The number of photons emitted per second by the bulb is $$x \times 10^{20}$$. The value of x is _________. (Nearest integer)
[Given: h = $$6.63 \times 10^{-34}$$ Js and c = $$3.0 \times 10^8$$ ms$$^{-1}$$]

The spin-only magnetic moment value of B$$_2^+$$ species is _________ $$\times 10^{-2}$$ BM (Nearest integer)
[Given: $$\sqrt{3}$$ = 1.73]

An empty LPG cylinder weighs 14.8 kg. When full, it weighs 29.0 kg and shows a pressure of 3.47 atm. In the course of use at ambient temperature, the mass of the cylinder is reduced to 23.0 kg. The final pressure inside the cylinder is _________ atm. (Nearest integer)
(Assume LPG to be an ideal gas)

For the reaction 2NO$$_2$$(g) $$\rightleftharpoons$$ N$$_2$$O$$_4$$(g), when $$\Delta S = -176.0$$ J K$$^{-1}$$ and $$\Delta H = -57.8$$ kJ mol$$^{-1}$$ the magnitude of $$\Delta G$$ at 298 K for the reaction is _________ kJ mol$$^{-1}$$. (Nearest integer)

The molar solubility of Zn(OH)$$_2$$ in 0.1M NaOH solution is $$x \times 10^{-18}$$ M. The value of x is _________. (Nearest integer)
Given: The solubility product of Zn(OH)$$_2$$ is $$2 \times 10^{-20}$$

If 80 g of copper sulphate CuSO$$_4$$.5H$$_2$$O is dissolved in deionised water to make 5 L of solution. The concentration of the copper sulphate solution is $$x \times 10^{-3}$$ mol $$L^{-1}$$. The value of x is _________.
[Atomic masses Cu : 63.54u, S : 32u, O : 16u, H : 1u]

If the conductivity of mercury at 0°C is $$1.07 \times 10^6$$ S m$$^{-1}$$ and the resistance of a cell containing mercury is 0.243$$\Omega$$, then the cell constant of the cell is $$x \times 10^4$$ m$$^{-1}$$. The value of x is _________. (Nearest integer)

The sum of oxidation states of two silver ions in AgNH$$_{3_{2}}$$Ag(CN)$$_{2}$$ complex is _________.

A peptide synthesized by the reactions of one molecule each of Glycine, Leucine, Aspartic acid and Histidine will have _________ peptide linkages.