List of top Questions asked in JEE Main

On a linear temperature scale $Y$, water freezes at $-160^{\circ}$ $Y$ and boils at $-50^{\circ}\, Y$. On this $Y$ scale, a temperature of $340\, K$ would be read as :
(water freezes at $273\, K$ and boils at $373\, K$)

On the sides $AB, BC, CA$ of a $\Delta ABC, 3, 4, 5$ distinct points (excluding vertices $A, B, C$) are respectively chosen. The number of triangles that can be constructed using these chosen points as vertices a re :

Potassium dichromate when heated with concentrated sulphuric acid and a soluble chloride, gives brown-red vapours of :

Select the correct statement from the following

The surface charge density of a thin charged disc of radius $R$ is $\sigma$. The value of the electric field at the centre of the disc is $\frac{\sigma}{2 \in_{0}} \cdot$ With respect to the field at the centre, the electric field along the axis at a distance $R$ from the centre of the disc :

This question has Statement I and Statement II. Of the four choices given after the Statements, choose the one that best describes the two Statements. Higher the range, greater is the resistance of ammeter. To increase the range of ammeter, additional shunt needs to be used across it.

Let $x_1 , x_2,...., x_n$ be n observations, and let $\bar{x}$ be their arithmetic mean and $\sigma^2$ be the variance. Variance of $2x_1, 2x_2, ..., 2x_n$ is $4 \sigma^2$. Arithmetic mean $2x_1, 2x_2, ..., 2x_n $ is 4 $\bar{x}$ .

Let R be the set of real numbers A = {(x, y) $\in$ R $\times$ R : y - x is an integer} is an equivalence relation on R. B = {(x, y) $\in$ R $\times$ R : x = $\alpha$y for some rational number $\alpha$} is an equivalence relation on R.

If $ {{\cos }^{-1}}\left( \frac{5}{13} \right)-{{\sin }^{-1}}\left( \frac{12}{13} \right)={{\cos }^{-1}}x, $ then $ x $ is equal to

The variance of first n even natural numbers is $\frac{n^2 - 1}{4}$. The sum of first n natural numbers is $\frac{n(n + 1)}{2}$ and the sum of squares of first n natural numbers is $\frac{n(n + 1)(2n +1)}{6}$.

Which of the following statements is true?

An artificial radioactive isotope gave ${^{14}_{7}N}$ after two successive $\beta$ -particle emissions. The number of neutrons in the parent nucleus must be :

The vector sum of two forces is perpendicular to their vector differences. In that case the forces

Probability of four sons to a couple is

The potential difference applied to an X-ray tube is increased. As a result, in the emitted radiation

Arrange the following carbocations in increasing order of their stability.
I) $(CH_3)_3C^{\oplus}$
II) $(CH_3)_2\overset{{\oplus}}{C}H$
III) $\overset{{\oplus}}{C}H_3$
IV) $CH_3\overset{{\oplus}}{C}H_2$

Which of the following cation will give green colour in Borax bead test

Given below are two statements:
Statement I : Chlorine can easily combine with oxygen to form oxides; and the product has a tendency to explode
Statement II : Chemical reactivity of an element can be determined by its reaction with oxygen and halogens
In the light of the above statements, choose the correct answer from the options given below

Equanil drug is used for which disease?

What is the correct order of strength of following ligands according to the spectrochemical series?

Given below are two statements:
Statement I: Tropolone is an aromatic compound and has 8л electrons.
Statement II: electrons of >C = O group in tropolone is involved in aromaticity.
In the light of the above statements, choose the correct answer from the options given below

An aromatic compound 'A' C7H6Cl2 gives white precipitate on boiling with AgNO3 solution and yields C7H7OCl on treatment with NaOH. 'A' on oxidation gives a monochloro benzoic acid which affords only one mononitroderivative. The compound A is:

What will be the equilibrium constant of the given reaction carried out in a $5 \,L$ vessel and having equilibrium amounts of $A_2$ and $A$ as $0.5$ mole and $2 \times 10^{-6}$ mole respectively?
The reaction : $A_2 \rightleftharpoons 2A$

Which of the following are the Green house gases?
A. Water vapour
B. Ozone
C. 1₂
D. Molecular hydrogen
Choose the most appropriate answer from the options given below

Which of the following will be oxidized by $HIO_4$?