List of top Questions asked in JEE Main

If a, b, c are in increasing A.P. and a + 1, b, c + 3 are in G.P. If A.M. of a, b, c is 8. Find cube of G.M. of a, b, c.

Let $S=x: x∈R$ and $\left(\sqrt{3}+\sqrt{2})^{x^2-4}+(\sqrt{3}-\sqrt{2})^{x^2-4}=10\right\}$Then $n(S)$ is equal to

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:

If the kinetic energy of a block of mass m becomes 36 times by keeping its mass constant, by what percentage will the momentum increase?

A particle oscillates in simple harmonic motion such that its speed and acceleration at distance 2 m from mean position are 4 m/s and 16 m/s² respectively. Find the amplitude of oscillation of the particle.

A person covers the first half of the distance with 6 m/s and the rest half with 9 m/s and 15 m/s in two equal time intervals. Find the average speed of the journey.

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

In a discharging RC circuit, at what time the electrical potential energy will become the half of its initial value? [in terms of time constant of RC circuit,]

The number of bridging $CO$ ligands and $Co-Co$ bonds in $Co_2(CO)_8$, respectively are:

What should be the length of a half-wave dipole antenna for a carrier wave having frequency

3 \times 10^{8}

Hz?

Consider the following reaction: The product is

Which of the following compounds will not give Hinsberg's test

Find the amount of work done in rotating a dipole of dipole moment

3 \times 10^{- 3} c m

from its position of stable equilibrium to the position of unstable equilibrium, in a uniform electric field of intensity

10^{4} {N C}^{- 1}

.

If

4^{\log_{10} [x + 1]} - 6^{\log_{10} x} - 2 \cdot 3^{\log_{10} [x^{2} + 2]} = 0

then the value of

\frac{1}{20 x}

is

The correct order of atomic radii is:

Find the equation of normal to the curve

y = (1 + x)^{y} + \sin^{- 1} (\sin^{2} x) at x = 0

At equilibrium the concentrations of

N_{2} = 3.0 \times 10^{- 3} M, O_{2} = 4.2 \times 10^{- 3} M

and

NO = 2.8 \times 10^{- 3} M

in a sealed vessel at

800 K

. What will be

K_{C}

for the reaction

N_{2 (g)} + O_{2 (g)} ⇋ 2 {NO}_{(g)} ?

If

K_{s p}

of

{A g}_{2} {C O}_{3}

is

8 \times 10^{- 12},

the molar solubility of

{A g}_{2} {C O}_{3}

in

0.1 M A g N O_{3}

is:

Which of the following are amongst the few carbon-containing compounds NOT classified as organic?

Let $y=y(x)$ be the solution of the differential equation $\left(x^2-3 y^2\right) d x+3 x y d y=0, y(1)=1$.Then $6 y^2( e )$ is equal to

A solid sphere is rolling without slipping. Find the ratio of rotational kinetic energy to total kinetic energy of sphere.

For a certain reaction, ΔH_r is 400 kJ/mol and ΔS=0.2 kJ/mol K. Above what minimum temperature in Kelvin, the reaction becomes spontaneous.

If the time period of a pendulum at height R (Where R is radius of earth) from surface of earth is $T_1$ and at height 2R it is $T_2$, then

Number of π bonds present in product B is:

Given $f(x) = \begin{cases} \frac{tan((a+1)x)+tanx\cdot b}{x} & \quad x\lt 0\\ 3 & \quad x=0\\ \frac{\sqrt{ax+b^2x^2}-\sqrt{ax}}{\sqrt{a}bx\sqrt{x}} & \quad x\gt 0\end{cases}$ It is a continuous function at x=0, then find $\frac{b}{a}$