List of top Questions asked in JEE Main- 2023

If momentum $[ P ]$, area $[ A ]$ and time $[ T ]$ are taken as fundamental quantities, then the dimensional formula for coefficient of viscosity is :

Which of the following physical quantities have the same dimensions?

By weight, 23% NaCl and 19.5% MgCl₂ are present in salt water. The degree of dissociation of both salts is 100%. Find the average boiling point of salt water (inºC). (Kb = 0.52 K kg mol^–1) (Nearest integer)

A metal chloride contains 55% by mass of chlorine. 100 mL of vapours gives 0.57 gm of chlorine at STP. Calculate the molecular mass of metal chloride. (Nearest integer)

When 2 gm magnesium reasts with excess of HCl and H₂ gas is produced then the volume of H₂ gas produced is ____ × 10^–2liter at STP. (Nearest Integer)

Let $(\alpha, \beta, \gamma)$ $\text{ be the image of the point }$ $P(3, 3, 5) \text{ in the plane } 2x + y - 3z = 6$. $\text{ Then } \alpha + \beta + \gamma \text{ is equal to:}$

Consider two sets A and B. Set A has 5 elements whose mean & variance are 5 and 8 respectively. Set B has also 5 elements whose mean & variance are 12 & 20 respectively. A new set C is formed by subtracting 3 from each element of set A and by adding 2 to each element of set B. The sum of mean & variance of the set C is

The mean of coefficients of $x, x^2, ....., x^7$ in the binomial expansion of $(2 + x)^9$ is?

The number of sp² hybridized carbon atoms in the following peptide is Ala – Phe – Gly – Ala – Phe - Ley

Sum of first 20 terms: 5, 11, 19, 29, 41

How many bromo products are formed when ethane is reacted with excess of $Br_2$ on heating?

Choose the correct option.

Match the terms in Column-I with their description in Column-II:

Column-I Column-II (P) N2O5 (i) N–N bond (Q) N2O (ii) N–O–N bond (R) N2O4 (iii) N=N / NN bond (S) NO2 (iv) N=O bond

Oxidation number of Mo in Ammonophosphomolybdate

Choose correct graph of resistivity and temperature for semi-conductor material.

Choose correct graph of electric potential for uniformly charged hollow sphere.

A wire of length 2 m, radius of cross-section 20 mm and Young's Modulus 2×10¹¹ N/m is subjected to a force of 62.8 kN.The change in length of the wire is p×10^–5 (in m). Find P.

If the radius of ground state hydrogen is 51 pm, find out the radius of 5th orbit of Li2+ ions. (closest integer)

How many moles of $Ba_3(PO_4)_2$ will be formed by the reaction of $5$ moles of $BaCl_2$ and $3$ moles of $Na_3(PO_4)$.

The value of log10K for a reaction A ⇋ B is (Given ΔHº298K = –54.67 kJmol–1 ΔSº298K = 10 kJmol–1 and R = 8.314 JK–1mol–1 2.303 × 8.314 × 298 = 5705)

Determine the amount of urea (NH₂CONH₂) to be added in 1000 g of water to decrease its vapour presssure by 25%.
Given: Molar mass of N. C. O and H are 14. 12. 16 and 1 2 mol^-1 respectively.

Which of the following slows down the process of setting of the cement ?

Number of ambidentate ligands in given complex [M(en)(SCN)4] :

Given below are two statement: one is labelled as Assertion (A) and the other is labelled as Reason (R).
$A ⇒$ Spin only magnetic moment of $[Fe(CN)_6]^{–3}$ is $1.73$ B.M. and $[Fe(H_2O)_6]^{+3}$ is $5.92$ B.M.
$R ⇒$ In both cases Fe have $+3$ oxidation state.
In the light of the above statements, write the detailed answer:

Assertion (A) : Radius of H+ is 1.5 × 10^–3 pm.
Reason (R) : H+ cannot exist independently.