List of top Questions asked in JEE Main

In the following reaction; \(\mathrm{xA \to yB}\)
\(\log_{10}\left[-\frac{d[A]}{dt}\right] = \log_{10}\left[\frac{d[B]}{dt}\right] + 0.3010\)
'A' and 'B' respectively can be :

Given
\(\mathrm{Co^{3+} + e^- \to Co^{2+}}\) ; \(\mathrm{E^o}\) = + 1.81 V
\(\mathrm{Pb^{4+} + 2e^- \to Pb^{2+}}\) ; \(\mathrm{E^o}\) = + 1.67 V
\(\mathrm{Ce^{4+} + e^- \to Ce^{3+}}\) ; \(\mathrm{E^o}\) = + 1.61 V
\(\mathrm{Bi^{3+} + 3e^- \to Bi}\) ; \(\mathrm{E^o}\) = + 0.20 V
Oxidizing power of the species will increase in the order :

The electrons are more likely to be found :

The complex ion that will lose its crystal field stabilization energy upon oxidation of its metal to +3 state is :
(Phen =

and Ignore pairing energy)

Complete removal of both the axial ligands (along the z-axis) from an octahedral complex leads to which of the following splitting patterns? (relative orbital energies not on scale).

An example of a disproportionation reaction is :

An ideal gas is allowed to expand form 1 L to 10 L against a constant external pressure of 1 bar. The work done in kJ is :

The group number, number of valence electrons, and valency of an element with atomic number 15, respectively, are:

The major product of the following addition reaction is :
\(\mathrm{H_3C{-}CH{=}CH_2 \xrightarrow{Cl_2/H_2O}}\)

But-2-ene on reaction with alkaline \(\mathrm{KMnO_4}\) at elevated temperature followed by acidification will give :

A submarine (A) travelling at 18 km/hr is being chased along the line of its velocity by another submarine (B) travelling at 27 km/hr. B sends a sonar signal of 500 Hz to detect A and receives a reflected sound of frequency \(\upsilon\). The value of \(\upsilon\) is close to: (Speed of sound in water = 1500 ms\(^{-1}\))

The value of numerical aperature of the objective lens of a microscope is 1.25. If light of wavelength 5000 \(\mathring{\mathrm{A}}\) is used, the minimum separation between two points, to be seen as distinct, will be :

The major product(s) obtained in the following reaction is/are :

The transfer characteristic curve of a transistor, having input and output resistance 100 \(\Omega\) and 100 k\(\Omega\) respectively is shown in the figure. The voltage and power gain, are respectively:

The major product of the following reaction is :

The stopping potential \(V_0\) (in volt) as a function of frequency (\(\upsilon\)) for a sodium emitter, is shown in the figure. The work function of sodium, from the data plotted in the figure, will be:
(Given: Planck's constant (h) = \(6.63 \times 10^{-34}\) Js, electron charges e = \(1.6 \times 10^{-19}\) C)

In a double slit experiment, when a thin film of thickness t having refractive index \(\mu\). is introduced in front of one of the slits, the maximum at the centre of the fringe pattern shifts by one fringe width. The value of t is (\(\lambda\) is the wavelength of the light used) :

A point dipole \(\vec{p} = -p_0 \hat{x}\) is kept at the origin. The potential and electric field due to this dipole on the y-axis at a distance d are, respectively: (Take V = 0 at infinity)

The trajectory of a projectile near the surface of the earth is given as \(y = 2x - 9x^2\). If it were launched at an angle \(\theta_0\) with speed \(v_0\) then (\(g = 10\) ms\(^{-2}\)) :

A shell is fired from a fixed artillery gun with an initial speed u such that it hits the target on the ground at a distance R from it. If t\(_1\) and t\(_2\) are the values of the time taken by it to hit the target in two possible ways, the product t\(_1\)t\(_2\) is -

Which of the following combinations has the dimension of electrical resistance (\(\in_0\) is the permittivity of vacuum and \(\mu_0\) is the permeability of vacuum)?

A progressive wave travelling along the positive x-direction is represented by \(y(x,t)=A\sin(kx-\omega t+\phi)\). Its snapshot at t = 0 is given in the figure.

For this wave, the phase \(\phi\) is :

The truth table for the circuit given in the fig. is:

A thin ring of 10 cm radius carries a uniformly distributed charge. The ring rotates at a constant angular speed of \(40\pi\) rad s\(^{-1}\) about its axis, perpendicular to its plane. If the magnetic field at its centre is \(3.8 \times 10^{-9}\) T, then the charge carried by the ring is close to (\(\mu_0 = 4\pi \times 10^{-7}\) N/A\(^2\)).

A galvanometer of resistance 100 \(\Omega\) has 50 divisions on its scale and has sensitivity of 20 \(\mu\)A/division. It is to be converted to a voltmeter with three ranges of 0-2V, 0-10 V and 0-20 V. The appropriate circuit to do so is