List of top Questions asked in JEE Main- 2022

The number of values of a ∈ N such that the variance of 3, 7, 12, a, 43 – a is a natural number is :
From the base of a pole of height 20 meter, the angle of elevation of the top of a tower is 60°. The pole subtends an angle 30° at the top of the tower. Then the height of the tower is :
Concentrated \(HNO_3\) reacts with Iodine to give

Let ƒ :R→R be a function defined by 
\(f(x) = \frac{2e^{2x}}{e^{2x} + e^x}\)
Then \(f\left(\frac{1}{100}\right) + f\left(\frac{2}{100}\right) + f\left(\frac{3}{100}\right) + \ldots + f\left(\frac{99}{100}\right)\)
 is equal to ________.

Metal deficiency defect is shown by \(Fe_{0.93}O\). In the crystal, some \(Fe^{2+}\) cations are missing and loss of positive charge is compensated by the presence of \(Fe^{3+}\) ions. The percentage of \(Fe^{2+}\) ions in the \(Fe_{0.93}O\) crystals is ______ . (Nearest integer)

If the sum of all the roots of the equation \(e^{2x} - 11e^x - 45e^{-x} + \frac{81}{2} = 0\)
 is logeP, then p is equal to _____.

The positive value of the determinant of the matrix A, whose 
\(\text{Adj}(\text{Adj}(A)) = \begin{bmatrix} 14 & 28 & -14 \\ -14 & 14 & 28 \\ 28 & -14 & 14 \end{bmatrix}\)
 is ___.

If the uncertainty in velocity and position of a minute particle in space are, \(2.4 × 10^{–26}\) \((m s^{–1)}\) and \(10^{–7} (m)\), respectively. The mass of the particle in g is _____ . (Nearest integer)
(Given : \(h = 6.626 × 10^{–34} Js\))

The number of ways, 16 identical cubes, of which 11 are blue and rest are red, can be placed in a row so that between any two red cubes there should be at least 2 blue cubes, is _________.
\(2\ g\) of a non-volatile non-electrolyte solute is dissolved in \(200\ g\) of two different solvents A and B whose ebullioscopic constants are in the ratio of \(1:8\). The elevation in boiling points of A and B are in the ratio \(\frac xy\ (x : y)\). The value of \(y\) is ______ . (Nearest Integer)
Which of the following pairs is not isoelectronic species? 
(At. no. Sm, 62; Er, 68; Yb, 70; Lu, 71; Eu, 63; Tb, 65; Tm, 69)
\(2NOCl(g) ⇌ 2NO(g) + Cl_2(g)\)
In an experiment, \(2.0\) moles of \(NOCl\) was placed in a one-litre flask and the concentration of \(NO\) after equilibrium established, was found to be \(0.4\) mol/ L. The equilibrium constant at \(30°C\) is ____ \(×10^{–4}\).
The limiting molar conductivities of \(NaI\), \(NaNO_3\) and \(AgNO_3\) are \(12.7\), \(12.0\) and \(13.3\) mS m2 mol–1, respectively (all at 25°C). The limiting molar conductivity of \(AgI\) at this temperature is ____ mS m2 mol–1.

If the coefficient of x10 in the binomial expansion of 
\(\left(\frac{\sqrt{x}}{5^{\frac{1}{4}}} + \frac{\sqrt{5}}{x^{\frac{1}{3}}}\right)^{60}\)
is 5k.l, where l, k∈N and l is co-prime to 5, then k is equal to ___________.

The rate constant for a first order reaction is given by the following equation :
\(ln\ k=33.24−\frac {2.0×10^4\ K}{T}\)
The activation energy for the reaction is given by ______ \(kJ mol^{–1}\). (In nearest integer)
(Given : \(R = 8.3 JK^{–1} mol^{–1}\))
Dinitrogen and dioxygen, the main constituents of air do not react with each other in atmosphere to form oxides of nitrogen because

The number of statement(s) correct from the following for Copper (at. no. 29) is/are ______.

  1. Cu(II) complexes are always paramagnetic
  2. Cu(I) complexes are generally colourless
  3. Cu(I) is easily oxidized
  4. In Fehling solution, the active reagent has Cu(I)
Acidified potassium permanganate solution oxidises oxalic acid. The spin-only magnetic moment of the manganese product formed from the above reaction is ______ B.M. (Nearest Integer)
Two elements \(A\) and \(B\) which form \(0.15\) moles of \(A_2B\) and \(AB_3\) type compounds. If both \(A_2B\) and \(AB_3\) weigh equally, then the atomic weight of \(A\) is _____ times of atomic weight of \(B\).
Total number of possible stereoisomers of dimethyl cyclopentane is _______.
The SI unit of a physical quantity is pascal-second. The dimensional formula of this quantity will be
Arrange the following in increasing order of reactivity towards nitration 
A. p-xylene 
B. bromobenzene 
C. mesitylene 
D. nitrobenzene 
E. benzene
The distance of the Sun from Earth is \(1.5 × 10^{11}\) \(m\), and its angular diameter is \((2000)\) \(s\) when observed from the earth. The diameter of the Sun will be :
When a ball is dropped into a lake from a height 4.9 m above the water level, it hits the water with a velocity v and then sinks to the bottom with the constant velocity v. It reaches the bottom of the lake 4.0 s after it is dropped. The approximate depth of the lake is :
A stone tied to a string of length \(L\) is whirled in a vertical circle with the other end of the string at the centre. At a certain instant of time, the stone is at its lowest position and has a speed \(u\). The magnitude of change in its velocity, as it reaches a position where the string is horizontal, is \(\sqrt{x(u^2−gL)}\). The value of \(x\) is