List of top Questions asked in JEE Main

When 4 dice are rolled, then the probability of 16 as a sum is:

Which metal shows the highest and maximum number of oxidation states?

A rectangle ABCD with ABCD with AB = 2 and BC = 4 is inscribed in rectangle PQRS such that vertices of ABCD lie on sides of PQRS then maximum possible area(in sq. unit) of rectangle PQRS is :

Two lines passing through (2, 3) parallel to coordinate axes. A circle of unit radius touches both the lines and lies on the origin side. Then the shortest distance of point (5,5) from the circle is:

Identify the change occuring in oxidation state of Mn in cell reaction of dry cell of clock during its use

One litre solution of 0.2 M glucose is separated with its pure solvent with semi-permeable membrane, 0.1 moles of NaCl is added to the solution. The change in osmotic pressure of solution will be at 300 K _____ . (take R = 0.083)

Sum of the number π and nt bonds in the ethylene molecule is x. The value of x is

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

If the number of neutrons in the most abundant isotope of boron is 'x' and its highest oxidation state in unsaturated compound is 'y', then find the value of (x+y).

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

Assertion: Trans But-2-ene is less polar than cis But-2-ene
Reason: Trans But-2-ene has zero dipole moment

Identify the correct Lewis dot structure of NO^-₂.

Consider the reaction:
Fe₂0₃(s) + 3CO(g) = 2Fe(s) + 3CO₂(g)
Which of the following will not affect the equilibrium state:
(I) Addition of Fe₂O₃
(II) Addition of CO₂
(III) Decreasing mass of Fe₂O₃
(IV) Removal of CO

Match the column. [Given: mass of sun = $M_s$ | mass of earth = $M_e$ | Radius of earth = R | Distance between the Sun and the Earth = a]

List-I		List-II
(A)	Kinetic energy of Earth	(I)	$-\frac{GM_sM_e}{a}$
(B)	Potential energy of Earth and Sun	(II)	$\frac{GM_sM_e}{2a}$
(C)	Total energy of Earth and Sun	(III)	$\frac{GM_e}{ R}$
(D)	Escape energy from surface of Earth per unit mass	(IV)	$\frac{GM_sM_e}{2a}$

Choose the correct answer from the options given below:

In YDSE for wavelength $λ = 5000 A$ , slit distance $d = 3 mm$ and screen distance of $2 m$, the intensity at a point which is $3 cm$ away from central maxima (assume intensity of light for each source is $I_0$) is $xl_0$ then x is

$ \lim_{t \rightarrow x} \frac{t^2f(x) - x^2 f(t)}{t-x} = 1$, then 2f(2) + 3f(3) equals to:

Three helium atoms from carbon at high temperature due to fusion. Masses of helium and carbon nuclei a.m.u are 4.0002 and 12 respectively . Find energy released in the process

Find the numbers of distinct real roots $|x||x + 2| - 5|x + 1| - 1$ =0

The correct relation between kinetic energy (K.E) and total energy (T.E) of a satellite orbiting around the planet is

Find the current I in the given circuit

Two concentric conducting rings of radius a and b are placed as shown in diagram (a < < b). Find coefficient of mutual inductance of rings

A block of mass m = 50 kg is lifted from ground to a height of 20 m in two different ways as shown in the figure. Find the ratio of work done by gravity in both the cases.

Find dimension of \(\sqrt{G}\).𝞵, where G is universal gravitational constant and 𝞵 is energy gradient

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