List of top Questions asked in JEE Main

Molecular orbital σ* represents:

Velocity of a particle of mass m as a function of displacement x is given by v = ɑ√x. Work done to move it from x = 0 to x = d is:

Two persons are pulling a rope towards themselves with a force of 200 N each. If the Young's modulus is 2 x 10¹¹ N/m² and area of cross-section is 2 cm² for the rope, the elongation in the rope is ____.
(distance between the persons holding the ropes is 2 m.)

Assertion (A): Object at radius of curvature of biconvex lens made by glass (u = 1.5) form image at same distance an other side of the lens.
Reason (R): Image of a real object formed by concave lens is always virtual and erect.

Find the equivalent resistance between terminal A and B for the given network.

Consider the following electronic configuration:
Cu²⁺ = [Ar] 3d⁴4s⁰
Cu⁺ = [Ar] 3d¹⁰4s⁰
Which option is correct?

Consider the following compound.

Correct order of their basicity is:

Which of the following is colorless?

Which among the following have a single unpaired electron?
N₂, 0₂, CN^-, O₂^-, C₂^2- , N^2-

S-I: Sulphur exists as S8 while oxygen exists as O2.
S-II: In oxygen, pπ-pπ bonding occurs while it is not effective in sulphur.

Consider the reaction between PbS and HNO₃.
PbS + HNO₃ →
Which of the following is not formed.

A ray of light passing through (1, 2) after reflecting on x-axis at point Q passes through R(3, 4). If S(h, k) is such that PQRS is a parallelogram, then find the value of hk².

A, B and C are given as
A = αî + 4j + 5k
B = 2î + 5j + 6k
C=A+B
|C| = | A - B |
Find the value of α and |C|² is:

If set A = { z: |z - 1| ≤ 1} and set B = { z: |z - 5i| ≤ |z - 5| }, if z = a + ib, where a, b ∈ I, then find the sum of modulus squares of A ∩ B.

What will be the remainder when (428)²⁰²⁴ is divided by 21?

If A is 3 x 3 matrix, det(3adj (2 adj A)) = 2^-13. 3^-10 and det(3adj (2A)) = 2^-m. 3^-n, then find 2m + 2n.d by 21?

If f(x) = 3ax³ + bx² + cx + 1 and f(1) = 41, f'(1) = 2 and f''(2)= 4, then find (a² + b² + c²).

If the domain of \(f(x)=\sin^{-1}(\frac{x-1}{2x+3})\) is R – (α, β] then find the value of 12αβ.

A = {2,4,6,8}, B = {3,7,6,9}. R: A × B → A × B such that (a₁, b₁) R (a₂, b₂) ⇔ a₁ + a₂ = b₁ + b₂ where (a₁, b₁) ∈ A, (a₂, b₂) ∈ B. Find the number of elements in the relation.2)= 4, then find (a² + b² + c²).

The covalency and oxidation state respectively of boron in [BF₄]^-, are

Given below are two statements related to Ellingham diagram:
Statement-I: Ellingham diagrams can be constructed for formation of oxides, sulfides and halides of metals. 
Statement-II : It consists of plots of ΔfH° vs T for formation of oxides of elements. 
In the light of the above statements, choose the most appropriate answer from the options given below

Given below are two statements, one is labelled as Assertion: A and the other is labelled as Reason R. 
Assertion: A Isotopes of hydrogen have almost same chemical properties, but difference in their rates of reaction. 
Reason: R Isotopes of hydrogen have different enthalpy of bond dissociation. 
In the light of the above statements, choose the most appropriate answer from the options given below

better method for preparation of bef₂ among the following is

The correct group of halide ions which can be oxidised by oxygen in acidic medium is

The total number of stereoisomers for the complex [Cr(ox)₂Clbr]³- (where oxalate) is: