List of top Questions asked in JEE Main

Match column I with column II and choose the correct option.

Column I	Column II
(I) Torque	(a) M°LT^-2
(II) stress	(b) ML^-1T^-1
(III) Coefficient of viscosity	(c) ML^-IT^-2
(IV) Potential gradient	(d) ML²7^-2

The orbital angular momentum of a satellite is L, when it is revolving in a circular orbit at height h from earth surface. If the distance of satellite from the earth centre is increased by eight times to its initial value, then the new angular momentum will be

A hydraulic automobile lift is designed to lift vehicles of mass 5000 kg. The area of cross section of the cylinder carrying the load is 250 cm². The maximum pressure the smaller piston would have to bear is [Assume g = 10 m/s²]:

The sum of all values of \( \alpha \), for which the points whose position vectors are:

\[ \mathbf{r_1} = \hat{i} - 2\hat{j} + 3\hat{k}, \quad \mathbf{r_2} = 2\hat{i} - 3\hat{j} + 4\hat{k}, \quad \mathbf{r_3} = (\alpha+1)\hat{i} + 2\hat{k}, \quad \mathbf{r_4} = \hat{j} + 2\hat{k} \]

are coplanar, is equal to:

If the variance of the frequency distribution

x_i	Frequency f_t
2	3
3	6
4	16
5	\(\alpha\)
6	9
7	5
8	6

is 3 , then $\alpha$ is equal to

The number of real roots of the equation $\sqrt{x^2-4 x+3}+\sqrt{x^2-9}=\sqrt{4 x^2-14 x+6}$, is:

The value of tan 9°-tan27°-tan63°+tan81° is____.

Let A be the point (1, 2) and B be any point on the curve \( x^2 + y^2 = 16 \). If the centre of the locus of the point P, which divides the line segment AB in the ratio 3:2 is the point C (\( \alpha, \beta \)), then the length of the line segment AC is:

If the equation of the plane passing through the line of intersection of the planes 2x – y + z = 3, 4x– 3y +5z + 9 = 0 and parallel to the line \(\frac{x+1}{−2} =\frac{ y+3}{4}= \frac{z−2}{5}\) is ax by+cz+6=0. then a + b + c is equal to

Glycerine of density 1.25 × 10³ kg m^-3 is flowing through the conical section of pipe. The area of cross-section of the pipe at its ends is 10 cm2 and 5 cm2 and pressure drop across its length is 3 Nm^-2. The rate of flow of glycerine through the pipe is x x10^-5 m3 s^-1. The value of x is____.

If the formula of borax is \(Na_2B_4Ox(OH)y.zH_2O\) , Find the value of x + y + z.

Out of the following which has maximum CFSE? ( consider with sign)

The ratio of silica to alumina in cement is:

Which of the following is not ambidentate ligand

Which of the following can be represented as a meridional isomer?

Identify the correct statement about the compound GaAIC₁₄

Consider the following reaction sequence: \([CaCl_2 + Na_2CO_3 → X+Y] → Z\)

The solubility product of BaSO₄ is \(1 \times 10^{-10}\) at 298 K. The solubility of BaSO₄ in 0.1 M K₂SO₄(aq) is \(x \times 10^{-9}\) g L⁻¹. Calculate the value of \(x\).

How many of the following have five radial nodes ?
5s, 6s, 7s, 6p and 4p

In good quality cement ratio of lime total oxides of Si(SiO\(_2\)), Aluminium(Al\(_2\)O\(_3\)) and Iron(Fe\(_2\)O\(_3\)) should be as close as possible to _____ .

For a metal ion, the calculated magnetic moment is 4.90 BM. This metal ion has ______ number of unpaired electrons.

Compounds of Xenon have one electron pair on central atom :

Which of the following acts as a stabilizer in the decomposition of H₂O₂?

Total spin only magnetic moment of the ion [Mn(SCN)₆]^x– is 5.92 B.M. Find out the value of x.

Statement-1: Methyl orange is a weak acid
Statement-2: Benzenoid form of methyl orange is deeply coloured than quinonoid form
Check out which of the above statement is true?