List of top Questions asked in JEE Main, KCET

In a diffraction pattern of a monochromatic light of wavelength 6000 pm, the slit width is 3 mm. If the angular position of 2nd minima is N x 10^-6 rad, find N.

The ratio of molar heat capacity at constant volume of one mole monoatomic gas to the one mole diatomic gas is given as a/b, where a and b are co-prime number, then find (a + b)

Consider following statements.
S1: IUPAC name is 4-chloro-1,3-dinitrobenzene
S2: IUPAC name is 2-methylaniline

Find among the spin only magnetic moment (nearest integer) of M in MO₄^2-, M being the atom having least atomic radii among Sc, Ti, V, Cr, Mn, Zn.

A solution contains 100 g water and 10 g of AB₂, The boiling of the solution was found to be 100.52% The degree of dissociation of AB₂ is: 
[MW of AB = 200 gm/mol ; K_b = 0.52 Kkg/mol

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

Find the mass (in g) of O₂ required for the combustion of 900 g of glucose.

Find out the magnitude of work done on the gas when 1 mole of an ideal gas undergoes compression from 9 liter to 1 liter through a reversible isothermal process. (in Joule) (Nearest integer)

For 8^2x - 16.8^x + 48 = 0, the sum of values of x is equal to:

Let f(x) = cosx - x + 1, x ∈ [0,π], then

A=\(\begin{bmatrix}   2 & -1 \\   1 & 1  \end{bmatrix}\)if sum of diagonal elements of A¹³ is 3ⁿ then n equal to:

R = (a, b) : a + 5b = 42 and a, b ∈ N has m elements and \(\sum\limits_{n=1}^{m}(1+i^{n!})\) = x + iy (where i = √-1). Find x + y + m.

if \(y=\int\frac{e^{\tan x}dx}{\cos^2x(1+e^{2\tan x})}\) and y(0)=6 then y\(\frac{\pi}{4}\) is equal to

Let,\(f(\theta)=\frac{sin^4\theta+3cos^2\theta}{sin^4\theta+cos^2\theta},\)then range of f(θ) ∈ [a, b]. The sum of infinite G.P., where first term is 64 and common ratio is a/b is equal to:

3 blue balls and 4 yellow balls are in a box. 3 balls are drawn at random. Let variance and mean be X & Y respectively then value of 3X + 4Y is:

Figure shows two charges q₁ and –q₂ placed on the x-axis as shown. If electric field at p is along x-direction, find \(\frac{q_1}{q_2}\)

A disk of mass M, radius R is rotating about an axis passing through its centre and perpendicular to its plane with angular speed ω. If another disk of mass \(\frac{M}{2}\) and radius R is gently placed over it what will be their common angular velocity after some time?

In a given AC circuit consisting of a resistor R and an inductor L and source emf, two voltmeter V₁ & V₂ are connected as shown. If V₂ = 36 volts then inductance of inductor is (Resistance R is √91Ω.)

A block of mass 5 kg is released as shown in the figure. Surface CD is rough with = 0.5, rest of all the surfaces are smooth. Find the maximum compression in the spring (initially spring is in its natural length.)

Find ratio of magnetic field at point P to that at point Q. Point P is inside the solid cylinder and Q is outside the cylinder. Current is uniform through the crosssection of cylinder.

In a YDSE shown a monochromatic light of wavelength 500 nm is incident. At point P, 10th maxima is formed. Now the two slits are replaced with a single slit of width w placed at the centre. If first diffraction minima is observed at P, find w.

Consider the given reaction:
Cr₂O₇^2- ⥨ CrO₄^2-
Above reaction shifts in forward direction in

If de- Broglie wavelength of electron is equal to de- Broglie wavelength of proton, then what is the relation between their kinetic energy

Consider the following compound:

What is the IUPAC nomenclature of the compound?

The total number of compounds having Bond order 2 among the following are: F₂, N₂, Ne₂, O₂, Li₂, Be₂, C₂