List of top Questions asked in JEE Main

If a complex number \(z\) statisfies the equation \(x + \sqrt{2}|z + 1| + i = 0\), then \(|z|\) is equal to :
The number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any question, is :
If \(\alpha\) and \(\beta\) are roots of the equation \(x^2 + px + \frac{3p}{4} = 0\), such that \(|\alpha - \beta| = \sqrt{10}\), then \(p\) belongs to the set :
Aryl fluoride may be prepared from arene diazonium chloride using :
In which of the following ionization processes the bond energy has increased and also the magnetic behaviour has changed from paramagnetic to diamagnetic ?
Trigonal bipyramidal geometry is shown by:
If a polythene sample contains two monodisperse fractions in the ratio 2 : 3 with degree of polymerization 100 and 200, respectively, then its weight average molecular weight will be :
The element with which of the following outer electron configuration may exhibit the largest number of oxidation states in its compounds :
\(+\ \mathrm{HCl} \longrightarrow \mathrm{X}\),
X is:
The instantaneous rate of disappearance of \(\mathrm{MnO_4^-}\) ion in the following reaction is \(4.56\times10^{-3}\ \mathrm{M\,s^{-1}}\)
\(2\mathrm{MnO_4^-} + 10\mathrm{I^-} + 16\mathrm{H^+} \rightarrow 2\mathrm{Mn^{2+}} + 5\mathrm{I_2} + 8\mathrm{H_2O}\)
The rate of appearance \(\mathrm{I_2}\) is :
The migration of dispersion medium under the influence of an electric potential is called :
An element having an atomic radius of 0.14 nm crystallizes in an \(fcc\) unit cell. What is the length of a side of the cell ?
Type of isomerism which exists between \([\mathrm{Pd(C_6H_5)_2(SCN)_2}]\) and \([\mathrm{Pd(C_6H_5)_2(NCS)_2}]\) is :
The addition of HI in the presence of peroxide catalyst does not follow anti-Markovnikov's rule because :
By how many folds the temperature of a gas would increase when the root mean square velocity of the gas molecules in a container of fixed volume is increased from \(5\times10^{4}\) cm/s to \(10\times10^{4}\) cm/s ?
Given: (I) \(\mathrm{H_2(g)} + \tfrac12\mathrm{O_2(g)} \rightarrow \mathrm{H_2O}(l)\); \(\Delta H^\circ_{298\,K} = -285.9\ \mathrm{kJ\,mol^{-1}}\)
(II) \(\mathrm{H_2(g)} + \tfrac12\mathrm{O_2(g)} \rightarrow \mathrm{H_2O(g)}\); \(\Delta H^\circ_{298\,K} = -241.8\ \mathrm{kJ\,mol^{-1}}\)
The molar enthalpy of vapourisation of water will be :
Which of the following compounds is not expected to show Lassaignes' test for nitrogen ?
Given : \(X\,\mathrm{Na_2HAsO_3} + Y\,\mathrm{NaBrO_3} + Z\,\mathrm{HCl} \rightarrow \mathrm{NaBr} + \mathrm{H_3AsO_4} + \mathrm{NaCl}\)
The values of X, Y and Z in the above redox reaction are respectively :
In the Bohr model an electron moves in a circular orbit around the proton. Considering the orbiting electron to be a circular current loop, the magnetic moment of the hydrogen atom, when the electron is in \(n^{\mathrm{th}}\) excited state, is :
A person lives in a high-rise building on the bank of a river 50 m wide. Across the river is a well lit tower of height 40 m. When the person, who is at a height of 10 m, looks through a polarizer at an appropriate angle at light of the tower reflecting from the river surface, he notes that intensity of light coming from distance X from his building is the least and this corresponds to the light coming from light bulbs at height ' Y ' on the tower. The values of X and Y are respectively close to (refractive index of water \(\simeq \frac{4}{3}\) )
Consider two npn transistors as shown in figure. If 0 Volts corresponds to false and 5 Volts correspond to true then the output at C corresponds to :
In an atom how many orbital(s) will have the quantum numbers; \(n = 3, l = 2\) and \(m_l = +2\) ?
If a carrier wave \(c(t) = A \sin \omega_c t\) is amplitude modulated by a modulator signal \(m(t) = A \sin \omega_m t\) then the equation of modulated signal \([C_m(t)]\) and its modulation index are respectively
When Uranium is bombarded with neutrons, it undergoes fission. The fission reaction can be written as :
\({}_{92}\mathrm{U}^{235} + {}_{0}n^{1} \rightarrow {}_{56}\mathrm{Ba}^{141} + {}_{36}\mathrm{Kr}^{92} + 3x + Q\) (energy) where three particles named \(x\) are produced and energy Q is released. What is the name of the particle \(x\) ?
Photons of an electromagnetic radiation has an energy 11keV each. To which region of electromagnetic spectrum does it belong ?