List of top Questions asked in JEE Main- 2022

If K₁ and K₂ are the thermal conductivities, L₁ and L₂ are the lengths and A₁ and A₂ are the cross sectional areas of steel and copper rods respectively such that $\frac{K_2}{K_1}=9,\frac{A_1}{A_2}=2,\frac{L_1}{L_2}=2.$

Then, for the arrangement as shown in the figure, the value of temperature T of the steel-copper junction in the steady state will be

lf the work function of a metal is 6.63 × 10^–19 J, the maximum wavelength of the photon required to remove a photoelectron from the metal is ______ nm. (Nearest integer)
[Given : h = 6.63 × 10^–34 J s, and c = 3 × 10⁸ m s^–1]

The mean and standard deviation of 15 observations are found to be 8 and 3, respectively. On rechecking, it was found that, in the observations, 20 was misread as 5. Then, the correct variance is equal to _______.

A circle touches both the y-axis and the line x + y = 0. Then the locus of its center is

The ratio for the speed of the electron in the 3^rd orbit of He⁺ to the speed of the electron in the 3^rd orbit of hydrogen atom will be :

‘A’ and ‘B’ respectively are: $A\xrightarrow[(2)Zn-H_2O]{(1)O_3}$
$Ethane-1, 2-dicarbaldehyde + Glyoxal/Oxaldehyde$
$B \xrightarrow[(2)Zn-H_2O]{(1)O_3} 5 - oxohexanal$

Five numbers, $x_1, x_2, x_3, x_4, x_5$ are randomly selected from the numbers $1, 2, 3$,….., $18$ and are arranged in the increasing order $(x_1<x_2<x_3<x_4<x_5)$. The probability that $x_2 = 7$ and $x_4 = 11$ is:

Which one of the following compounds is inactive towards S_N1 reaction?

The major product of the following reaction contains ______ bromine atom(s).

If the absolute maximum value of the function $f(x)=\left(x^2-2 x+7\right) e^{\left(4 x^3-12 x^2-180 x+31\right)}$ in the interval [-3,0] is $f(\alpha)$, then:

The minimum value of the twice differentiable function $f(x)=\int\limits_0^x e^{x-1} f^{\prime}(t) d t-\left(x^2-x+1\right) e^x, x \in R$, is :

The equation $\lambda=\frac{1227}{ x } nm$ can be used to find the de-Brogli wavelength of an electron In this equation $x$ stands for : Where, $m =$ mass of electron $P =$ momentum of electron $K =$ Kinetic energy of electron $V=$ Accelerating potential in volts for electron

A metal surface is illuminated by a radiation of wavelength 4500 Å. The rejected photo-electron enters a constant magnetic field of 2 mT making an angle of 90° with the magnetic field. If it starts revolving in a circular path of radius 2 mm, the work function of the metal is approximately:

A heat engine operates with the cold reservoir at temperature 324 K. The minimum temperature of the hot reservoir, if the heat engine takes 300 J heat from the hot reservoir and delivers 180 J heat to the cold reservoir per cycle, is _____ K.

Let the locus of the centre $(\alpha, \beta), $ $\beta>0$, of the circle which touches the circle $x ^2+( y -1)^2=1$ externally and also touches the x-axis be L Then the area bounded by L and the line y=4 is :

$∫^5_0\,cos(π(x-[\frac{x}{2}]))dx $, where [t] denotes greatest integer less than or equal to t, is equal to

How many of the following drugs is/are examples(s) of broad-spectrum antibiotics?
Ofloxacin, Penicillin G, Terpineol, Salvarsan.

Two isomers ‘A’ and ‘B’ with molecular formula C₄H₈ give different products on oxidation with KMnO₄/H⁺ results in effervescence of a gas and gives ketone. The compound ‘A’ is

Incorrect statement for Tyndall effect is:

The number of sp³ hybridised carbons in an acyclic neutral compound with molecular formula C₄H₅N is ________.

Let a circle C in complex plane pass through the points $z_1 = 3 + 4i$, $z_2 = 4 + 3i$ and $z_3 = 5i$. If $z(≠z_1)$ is a point on C such that the line through $z$ and $z_1$ is perpendicular to the line through $z_2$ and $z_3$, then $arg\ (z)$ is equal to:

Which of the following sets of quantum numbers is not allowed?

Haemoglobin contains $0.34\%$ of iron by mass. The number of Fe atoms in $3.3$ g of haemoglobin is(Given: Atomic mass of Fe is $56$ u, $N_A$ = $6.022 × 1023$ $mol^{–1}$)

The number of non-ionisable protons present in the product B obtained from the following reactions is__.
C₂H₅OH+PCl₃→C₂H₅Cl+A
A+PCl₃→B