List of top Questions asked in JEE Main- 2022

Let S = {E1, E2, ……………., E8} be a sample space of a random experiment such that \(P(E_n) = \frac{n}{36}\) for every n = 1, 2, ………, 8. Then the number of elements in the set\(\{ A \subseteq S : P(A) \geq \frac{4}{5} \}\) is_________.
For complete combustion of methanol
\( CH_3OH(I)+\frac 32O_2(g)→CO_2(g)+2H_2O(I)\)
the amount of heat produced as measured by bomb calorimeter is \(726\) kJ mol–1 at \(27°C\). The enthalpy of combustion for the reaction is \(x \ kJ mol^{–1}\), where \(x\) is ______ . (Nearest integer)
(Given: \(R= 8.3 \ JK^{–1}mol^{–1}\))
Product ‘A’ of the following sequence of reactions is                                       
\(Ethylbenzene \xrightarrow[{(b)Cl_2,Δ;(c) alc.KOH}]{ (a)Br_2,Fe }\)‘ \(\;  \;\; \;\;A′\\major Product\)
Decarboxylation of all six possible forms of diaminobenzoic acid \(C_6H_3(NH_2)2COOH\) yields three products A, B and C. Three acids give a product ‘A’, two acids give a product ‘B’ and one acid gives a product ‘C’. The melting point of product ‘C’ is
A 0.5 percent solution of potassium chloride was found to freeze at –0.24°C. The percentage dissociation of potassium chloride is ______. (Nearest integer)
(Molal depression constant for water is 1.80 K kg mol–1 and 
molar mass of KCl is 74.6 g mol–1)
Which is true about Buna-N?
Given below are two statements :
Statement I: Maltose has two\(α-D-glucose\) units linked at \(C_1\) and \(C_4\) and is a reducing sugar.
Statement II: Maltose has two monosaccharides : 
\(α-D-glucose\) and \(β-D-glucose\) linked at \(C_1\) and \(C_6\) and it is a non-reducing sugar.
In the light of the above statements, choose the correct answer from the options given below.
Match List I with List II.
 List I (Anion) List II (gas evolved on reaction with dil \(H_2SO_4\))
A.\(CO_3^{ 2−}\)I.Colourless gas which turns lead acetate paper black.
B.\(S^{2–}\)II.Colourless gas which turns acidified potassium dichromate solution green
C.\(SO_3^{ 2−}\)III.Brown fumes which turns acidified KI solution containing starch blue.
D.\(NO_2^{−}\)IV.Colourless gas evolved with brisk effervescence, which turns lime water milky.
Choose the correct answer from the options given below:
50 mL of 0.1 M CH3COOH is being titrated against 0.1 M NaOH. When 25 mL of NaOH has been added, the pH of the solution will be ____ × 10–2. (Nearest integer)
(Given : pKa (CH3COOH) = 4.76)
log 2 = 0.30
log 3 = 0.48
log 5 = 0.69
log 7 = 0.84
log 11 = 1.04
116 g of a substance upon dissociation reaction, yields 7.5 g of hydrogen, 60 g of oxygen and 48.5 g of carbon. Given that the atomic masses of H, O and C are 1, 16 and 12, respectively. The data agrees with how many formulae of the following? _______
A. \(CH_3COOH\)
B. \(HCHO\)
C. \(CH_3OOCH_3\)
D. \(CH_3CHO\)
A flask is filled with equal moles of A and B. The half lives of A and B are 100 s and 50 s respectively and are independent of the initial concentration. The time required for the concentration of A to be four times that of B is ________s.
(Given : In 2 = 0.693)
Consider the following set of quantum numbers.
\(n \,|\, m_|\)
A. 3 3 –3
B. 3 2 –2
C. 2 1 +1
D. 2 2 +2
The number of correct sets of quantum numbers is _____.
2.0 g of H2 gas is adsorbed on 2.5 g of platinum powder at 300 K and 1 bar pressure. The volume of the gas adsorbed per gram of the adsorbent is _____ mL.
(Given : R= 0.083 L bar K–1 mol–1)
\(BeO\) reacts with \(HF\) in presence of ammonia to give \([A]\) which on thermal decomposition produces \([B]\) and ammonium fluoride. Oxidation state of Be in \([A]\) is _______
The spin-only magnetic moment value of the most basic oxide of vanadium among \(V_2O_3, V_2O_4\) and \(V_2O_5\) is ______B.M. (Nearest integer)
If \(y(x) = (x^x)^x, \quad x > 0\), then \(\frac{d^2x}{dy^2} + 20\) at \(x = 1\) is equal to __________.
All resistances in figure are 1 Ω each. The value of current ‘I‘ is \((\frac{a}{5})\) A. The value of a is _______.
value of current
The spin-only magnetic moment value of an octahedral complex among \(CoCl_3⋅4NH_3\), \(NiCl_2⋅6H_2O\) and \(PtCl_4⋅2HCl\), which upon reaction with excess of \(AgNO_3\) gives 2 moles of \(AgCl\) is _____ B.M. (Nearest Integer)
A capacitor C1 of capacitance 5 μF is charged to a potential of 30 V using a battery. The battery is then removed and the charged capacitor is connected to an uncharged capacitor C2 of capacitance 10 μF as shown in figure. When the switch is closed charge flows between the capacitors. At equilibrium, the charge on the capacitor C2 is ____ μC.
capacitor C1 of capacitance 5 μF
Compound ‘P’ on nitration with dil. HNO3 yields two isomers (A) and (B) show the intramolecular and intermolecular hydrogen bonding respectively. Compound (P) on reaction with conc. HNO3 yields a yellow compound ‘C’, a strong acid. The number of oxygen atoms is present in compound ‘C’ _____
A tuning fork of frequency 340 Hz resonates in the fundamental mode with an air column of length 125 cm in a cylindrical tube closed at one end. When water is slowly poured in it, the minimum height of water required for observing resonance once again is ____cm. (Velocity of sound in air is 340 ms–1)
The number of oxygens present in a nucleotide formed from a base, that is present only in RNA is ________.
A liquid of density 750 kgm–3 flows smoothly through a horizontal pipe that tapers in cross-sectional area from A1 = 1.2 × 10–2 m2 to \(A_2=\frac{A_1}{2}.\) The pressure difference between the wide and narrow sections of the pipe is 4500 Pa. The rate of flow of liquid is _____ × 10–3 m3s–1.
300 cal. of heat is given to a heat engine and it rejects 225 cal. of heat. If source temperature is 227°C, then the temperature of sink will be _______°C.
\(\sqrt{d_1}\) and \(\sqrt{d_2}\) are the impact parameters corresponding to scattering angles 60° and 90° respectively, when an α particle is approaching a gold nucleus. For d1 = xd2, the value of x will be ______.