List of top Questions asked in JEE Main

The value of \( \left(\frac{-1+i\sqrt{3}}{1-i}\right)^{30} \) is :
If \( \alpha \) and \( \beta \) are the roots of the equation, \( 7x^2-3x-2=0 \), then the value of \( \frac{\alpha}{1-\alpha^2}+\frac{\beta}{1-\beta^2} \) is equal to :
If the sum of the second, third and fourth terms of a positive term G.P. is 3 and the sum of its sixth, seventh and eighth terms is 243, then the sum of the first 50 terms of this G.P. is :
The number of chiral carbon(s) present in peptide, Ile-Arg-Pro, is _____.
A soft drink was bottled with a partial pressure of \(\mathrm{CO_2}\) of 3 bar over the liquid at room temperature. The partial pressure of \(\mathrm{CO_2}\) over the solution approaches a value of 30 bar when 44 g of \(\mathrm{CO_2}\) is dissolved in 1 kg of water at room temperature. The approximate pH of the soft drink is ______ \(\times\) \(10^{-1}\).
(First dissociation constant of \(\mathrm{H_2CO_3}\) = \(4.0\times 10^{-7}\); \(\log 2 = 0.3\); density of the soft drink = 1 g \(\mathrm{mL^{-1}}\)) .
The total number of coordination sites in ethylenediaminetetraacetate (\(\mathrm{EDTA^{4-}}\)) is _____.
The condition that indicates a polluted environment is :
The equation that represents the water-gas shift reaction is :
An Ellingham diagram provides information about :
An oxidation-reduction reaction in which 3 electrons are transferred has a \(\Delta G^\circ\) of 17.37 kJ \(\mathrm{mol^{-1}}\) at 25 \(^\circ\)C. The value of \(E^\circ_{\mathrm{cell}}\) (in V) is ______ \(\times\) \(10^{-2}\).
(1 F = 96,500 C \(\mathrm{mol^{-1}}\))
Identify the correct molecular picture showing that happens at the critical micellar concentration (CMC) of an aqueous solution of a surfactant (polar head: shaded circle; non-polar tail: wavy line; water: black dot).
The minimum number of moles of \(\mathrm{O_2}\) required for complete combustion of 1 mole of propane and 2 moles of butane is _____.
In the sixth period, the orbitals that are filled are :
The potential energy curve for the \(\mathrm{H_2}\) molecule as a function of internuclear distance is :
In the following reaction sequence the major products A and B are :
If a person is suffering from the deficiency of nor-adrenaline, what kind of drug can be suggested?
The values of the crystal field stabilization energies for a high spin \(d^6\) metal ion in octahedral and tetrahedral fields, respectively, are :
The increasing order of the acidity of the \(\alpha\)-hydrogen of the following compounds is :
The difference between the radii of \(3^{rd}\) and \(4^{th}\) orbits of \(\mathrm{Li^{2+}}\) is \(\Delta R_1\). The difference between the radii of \(3^{rd}\) and \(4^{th}\) orbits of \(\mathrm{He^{+}}\) is \(\Delta R_2\). Ratio \(\Delta R_1 : \Delta R_2\) is :
The most appropriate reagent for conversion of \(\mathrm{C_2H_5CN}\) into \(\mathrm{CH_3CH_2CH_2NH_2}\) is
A beam of electrons of energy \(E\) scatters from a target having atomic spacing of \(1\ \mathring{\mathrm{A}}\). The first maximum intensity occurs at \(\theta = 60^\circ\). Then \(E\) (in eV) is ______.
(Planck constant \(h = 6.64\times10^{-34}\) Js, \(1\ \mathrm{eV} = 1.6\times10^{-19}\) J, electron mass \(m = 9.1\times10^{-31}\) kg)
Which of the following derivatives of alcohols is unstable in an aqueous base?
The structure of \(\mathrm{PCl_5}\) in the solid state is :
The correct electronic configuration and spin-only magnetic moment (BM) of \(\mathrm{Gd^{3+}}\) (\(Z = 64\)), respectively, are :
Consider the following reaction:
\(\mathrm{N_2O_4(g) \rightleftharpoons 2NO_2(g)}\); \(\Delta H^\circ = +58\) kJ
For each of the following cases (a, b), the direction in which the equilibrium shifts is :
(a) Temperature is decreased.
(b) Pressure is increased by adding \(\mathrm{N_2}\) at constant T.