List of top Questions asked in JEE Main

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

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

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.

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

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

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

Find the ratio of energy stored in the two given capacitor systems.

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

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

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:

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

Find out the work done in the following process.

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

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

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)

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

The value of $∫_0^{\frac{\pi}{4}} \frac{dx}{1+tanx} $

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 :

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

Let f(x) = $x^2 - 5x$ and $g(x) = 7x - x^2$, then the area between the curves equals to:

In which of the following compounds Mn has the highest oxidation state?

Consider the following statements:
Statement I: Stability of +1 oxidation state increases down the group in group-13.
Statement II: Atomic radius of Ga is greater than that of Al.

The molar conductivities of a divalent cation (M²⁺) and monovalent anion (A^-) are 57 S cm^-1 mol^-1 and 73 S cm^-1 mol^-1 respectively. Then find the total molar conductivity shown by their compound in S cm^-1 mol^-1

If $f(x)= x^5 + 2x^3 + 3x + 1$ and $g(f(x)) = x,$ then $\frac{g(1)}{g’(1)}$ is equal to