List of top Questions asked in JEE Main- 2014

Let \(G\) be the geometric mean of two positive numbers \(a\) and \(b\), and \(M\) be the arithmetic mean of \(\frac{1}{a}\) and \(\frac{1}{b}\). If \(\frac{1}{M} : G\) is \(4 : 5\), then \(a : b\) can be:

The sum of the roots of the equation, \(x^2 + |2x - 3| - 4 = 0\), is:

Which one of the following statements is not correct?

The following reaction is known as:

Complete reduction of benzene-diazonium chloride with \(\mathrm{Zn/HCl}\) gives:

An organic compound A, \(\mathrm{C_5H_8O}\), reacts with \(\mathrm{H_2O}\), \(\mathrm{NH_3}\) and \(\mathrm{CH_3COOH}\) as described below:

A is:

Which one of the following is used as Antihistamine?

Chlorobenzene reacts with trichloroacetaldehyde (chloral) in the presence of \(\mathrm{H_2SO_4}\).

The major product formed is:

Which of the following name formula combinations is not correct?

Consider the coordination compound, \([\mathrm{Co(NH_3)_6}]\mathrm{Cl_3}\). In the formation of this complex, the species which acts as the Lewis acid is:

Shapes of certain interhalogen compounds are stated below. Which one of them is not correctly stated?

In the reaction of formation of sulphur trioxide by contact process \(2\mathrm{SO_2} + \mathrm{O_2} \rightleftharpoons 2\mathrm{SO_3}\) the rate of reaction was measured as \(\frac{d[\mathrm{O_2}]}{dt} = -2.5\times10^{-4}\ \mathrm{mol\,L^{-1}\,s^{-1}}\). The rate of reaction in terms of \([\mathrm{SO_2}]\) in \(\mathrm{mol\,L^{-1}\,s^{-1}}\) will be:

For the reaction, \(2\mathrm{N_2O_5} \rightarrow 4\mathrm{NO_2} + \mathrm{O_2}\), the rate equation can be expressed in two ways \(-\frac{d[\mathrm{N_2O_5}]}{dt} = k[\mathrm{N_2O_5}]^n\) and \(+\frac{d[\mathrm{NO_2}]}{dt} = k'[\mathrm{N_2O_5}]^n\). \(k\) and \(k'\) are related as:

The reagent needed for converting

The gas liberated by the electrolysis of Dipotassium succinate solution is:

Given
\(\mathrm{Fe^{3+}(aq)} + e^- \rightarrow \mathrm{Fe^{2+}(aq)};\ E^0 = +0.77\ \mathrm{V}\)
\(\mathrm{Al^{3+}(aq)} + 3e^- \rightarrow \mathrm{Al(s)};\ E^0 = -1.66\ \mathrm{V}\)
\(\mathrm{Br_2(aq)} + 2e^- \rightarrow 2\mathrm{Br^-};\ E^0 = +1.09\ \mathrm{V}\)
Considering the electrode potentials, which of the following represents the correct order of reducing power?

In some solutions, the concentration of \(\mathrm{H_3O^+}\) remains constant even when small amounts of strong acid or strong base are added to them. These solutions are known as:

Which of the following statements about the depletion of ozone layer is correct?

In allene (\(\mathrm{C_3H_4}\)), the type(s) of hybridization of the carbon atoms is (are) :

The molar heat capacity (\(\mathrm{C_p}\)) of \(\mathrm{CD_2O}\) is 10 cals at 1000 K. The change in entropy associated with cooling 32 g of \(\mathrm{CD_2O}\) vapour from 1000 K to 100 K at constant pressure will be: (D = deuterium, atomic mass = 2u)

A gaseous compound of nitrogen and hydrogen contains 12.5% (by mass) of hydrogen. The density of the compound relative to hydrogen is 16. The molecular formula of the compound is:

Consider the following equilibrium
\(\mathrm{AgCl}\downarrow + 2\mathrm{NH_3} \rightleftharpoons [\mathrm{Ag(NH_3)_2}]^+ + \mathrm{Cl^-}\)
White precipitate of AgCl appears on adding which of the following?

Which one of the following does not have a pyramidal shape?

A photon of wavelength \(\lambda\) is scattered from an electron, which was at rest. The wavelength shift \(\Delta\lambda\) is three times of \(\lambda\) and the angle of scattering \(\theta\) is \(60^\circ\). The angle at which the electron recoiled is \(\phi\). The value of \(\tan\phi\) is : (electron speed is much smaller than the speed of light)

A radioactive nuclei with decay constant \(0.5/\mathrm{s}\) is being produced at a constant rate of 100 nuclei/s. If at \(t=0\) there were no nuclei, the time when there are 50 nuclei is: