List of top Questions asked in JEE Main- 2023

A particle is projected at an angle of 30° with ground with speed 40 m/s. The speed of the particle after 2 s is (use g=10 ms^-2)

$2 \sin \left(\frac{\pi}{22}\right) \sin \left(\frac{3 \pi}{22}\right) \sin \left(\frac{5 \pi}{22}\right) \sin \left(\frac{7 \pi}{22}\right) \sin \left(\frac{9 \pi}{22}\right)$is equal to

2 gm of x is present in 1 mole of H₂O.Find the mass % of x

A block of mass 100 gm is placed on a smooth surface, moves with acceleration of a=2x, then the change in kinetic energy can be given as $\left(\frac{x^n}{10}\right)$. Find the value of n.

A car is moving with a speed of 15 m/s towards a stationary wall. A person in the car pressed the horn and experienced the change in frequency of 40 Hz due to reflection from the stationary wall. Find the frequency of the horn.
(Use $𝑣_{sound}$ = 330 m/s)

A body is rotating with kinetic energy E. If angular velocity of body is increased to three times of initial angular velocity then kinetic energy become nE. Find n.

25% of 250g sugar solution & 40% of 500g sugar solution are mixed then find out the mass percentage in the solution.

Find the spin magnetic moment ratio for complexes $[Cr(Cn)_{6}]^{-3}$ & $[Cr(H_{2}O)_{6}]^{+3}$

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)

NH₃, NO, N₂, F₂, CO, CO₂, H₂O, and XeF₄. Fill the number of above molecules having only two lone pair of electrons.

K_sp of BaSO₄ is 8 × 10^–11. If the solubility in presence of 0.1 M CaSO₄ is?

5 boys with allotted roll numbers and seat numbers are seated in such a way that no one sits on the allotted seat. The number of such seating arrangements is?

Glucose is added in 100 gm of water. Lowering in vapor pressure is 0.2 mm Hg. Vapour pressure of pure water is 54.2 mm Hg. Then the weight of glucose is?

If the constant term in the binomial expansion of $\left(\frac{x^{\frac{3}{2}}}{2}-\frac{4}{x^l}\right)^9$ is $-84$ and the coefficient of $x^{-3 l}$ is $2^\alpha \beta$, where $\beta<0$ is an odd number, then $|\alpha l-\beta|$ is equal to_____

How many electrons are gained by MnO^Θ₄ in strongly alkaline medium?

The equation of progressive wave is y=5sin(6t + 0.03x). Find the speed of wave

Let the number of matrices of order 3 x 3 are possible using the digits [0, 1, 2, 3, … , 10) is mn, then (m + n) is ___. (where m is a prime number)

Radius of the 2^nd orbit of He⁺ is r₀. Radius of the 4^th orbit of Be³⁺ is xr₀. Find x.

If $y = max \{ {\sqrt{x}, x^2-4, x^3+2}\}$, then the number of solution(s) of y=1 is/are____?

Some amount of urea is added to 1000 gm of H₂O due to which vapor pressure decreases by 25% of the original vapor pressure. Find out the mass of urea added (Round off to two decimal places)

Matrix A is 2×2 matrix and A²=I, no elements of the matrix are zero, let the sum of diagonal elements is a and det(A)=b, then the value of 3a²+b² is?

Maximum value n such that (66)! is divisible by 3n

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

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

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)