List of top Questions asked in JEE Main

At $298\ K$
$N_2( g)+3H_2( g)⇌2NH_3( g),K_1=4×10^5$
$N_2( g)+O_2( g)⇌2NO(g),K_2=1.6×10^{12}$
$H_2( g)+1 2O_2( g)⇌H_2O(g),K_3=1.0×10^{−13}$
Based on above equilibria, the equilibrium constant of the reaction,
$2NH_3( g)$+$\frac5 {2}$ $O_2( g)⇌2NO(g)+3H_2O(g)$ is _______ $×10^{−33 }$. (Nearest integer)

Let the plane containing the line of intersection of the planes $P 1: x+(\lambda+4) y+z=1$ and $P 2: 2 x+$ $y+z=2$ pass through the points $(0,1,0)$ and $(1,0,1)$ Then the distance of the point $(2 \lambda, \lambda,-\lambda)$ from the plane $P 2$ is

Match List I and List II

List II	List II
A. van't Hoff factor, i	I. Cryoscopic constant
B. $k_f$	II. Isotonic solutions
C. Solution with same with same osmotic pressure	III. Normal molar mass /Abnormal molar mass
D. Azeotropes	IV. Solutions with same composition of vapour above it

Choose the correct answer from the options given below :

If $\left({ }^{30} C _1\right)^2+2\left({ }^{30} C _2\right)^2+3\left({ }^{30} C _3\right)^2+\ldots+30\left({ }^{30} C _{30}\right)^2=\frac{\alpha 60 !}{(30 !)^2}$ then $\alpha$ is equal to :

Which of the following relations are correct?
(A) $ΔU=q+pΔV$
(B) $ΔG=ΔH−TΔS$
(C) $ΔS=\frac{𝑞_{𝑟𝑒𝑣}}{𝑇}$
(D) $ΔH=ΔU−ΔnRT$
Choose the most appropriate answer from the options given below:

The set of all values of $a$ for which $\displaystyle\lim _{x \rightarrow a}([x-5]-[2 x+2])=0$,where $[\propto]$ denotes the greatest integer less than or equal to $\propto$ is equal to

Two light waves of wavelengths 800 and $600 nm$ are used in Young's double slit experiment to obtain interference fringes on a screen placed $7 m$ away from plane of slits If the two slits are separated by $0.35 mm$, then shortest distance from the central bright maximum to the point where the bright fringes of the two wavelength coincide will be ___$mm$

Given below are two statements:
Statement I: Nickel is being used as the catalyst for producing syn gas and edible fats.
Statement II : Silicon forms both electron rich and electron deficient hydrides.
In the light of the above statements, choose the most appropriate answer from the options given below:

The equations of the sides $AB$ and $AC$ of a triangle $ABC$ are $(\lambda+1) x+\lambda y=4$ and $\lambda x+(1-\lambda) y+\lambda=0$ respectively Its vertex $A$ is on the $y$ - axis and its orthocentre is $(1,2)$ The length of the tangent from the point $C$ to the part of the parabola $y^2=6 x$ in the first quadrant is :

Following tetrapeptide can be represented as

(F, L, D, Y, I, Q, P are one letter codes for amino acids)

The value of $\left(\frac{1+\sin \frac{2 \pi}{9}+i \cos \frac{2 \pi}{9}}{1+\sin \frac{2 \pi}{9}-i \cos \frac{2 \pi}{9}}\right)^3$ is

Reaction of propanamide with $Br_2/KOH(aq)$ produces :

If the system of equations $ x+2 y+3 z=3$ $ 4 x+3 y-4 z=4 $ $ 8 x+4 y-\lambda z=9+\mu$ has infinitely many solutions, then the ordered pair $(\lambda, \mu)$ is equal to :

For the given circuit, in the steady state, $\left| V _{ B ^{-}}- V _{ D }\right|=$___$V$

Two parallel plate capacitors $C_1$ and $C_2$ each having capacitance of $10 \mu F$ are individually charged by a $100 V D C$ source Capacitor $C_1$ is kept connected to the source and a dielectric slab is inserted between it plates Capacitor $C_2$ is disconnected from the source and then a dielectric slab is inserted in it Afterwards the capacitor $C_1$ is also disconnected from the source and the two capacitors are finally connected in parallel combination The common potential of the combination will be ___$V$
(Assuming Dielectric constant $=10$ )

If a wire of resistance R is connected across Vo, then power is Po. The wire is cut into two equal parts and connected with Vo individually, then the sum of power dissipated is P1, then $\frac{Po}{Pi}$ is $\frac{1}{x}$. Find the value of x.

According to MO theory the bond orders for $O_2^{2−},CO\,\, \text {and} \,\,NO^+$ respectively, are

Find out the major products from the following reaction sequence.