List of top Questions asked in JEE Main- 2023

\(_{92}^{238}A\to\,_{90}^{234}B+\,_{2}^{4}D+Q\)
In the given nuclear reaction, the approximate amount of energy released will be:
[Given, mass of \(_{92}^{238}A=238.05079\times931.5\ \mathrm{MeV/c^2}\), mass of \(_{90}^{234}B=234.04363\times931.5\ \mathrm{MeV/c^2}\), mass of \(_{2}^{4}D=4.00260\times931.5\ \mathrm{MeV/c^2}\)]

The number of symmetric matrices of order 3, with all the entries from the set \(\{0,1,2,3,4,5,6,7,8,9\}\) is :

If \(\frac{1}{n+1}\,{}^nC_n+\frac{1}{n}\,{}^nC_{n-1}+\ldots+\frac{1}{2}\,{}^nC_1+{}^nC_0=\frac{1023}{10}\), then \(n\) is equal to :

If the r.m.s speed of chlorine molecule is \(490\ \mathrm{m/s}\) at \(27^{\circ}\mathrm{C}\), the r.m.s speed of argon molecules at the same temperature will be (Atomic mass of argon \(= 39.9\ \mathrm{u}\), molecular mass of chlorine \(= 70.9\ \mathrm{u}\))

A metallic surface is illuminated with radiation of wavelength \(\lambda\), the stopping potential is \(V_0\). If the same surface is illuminated with radiation of wavelength \(2\lambda\), the stopping potential becomes \(\frac{V_0}{4}\). The threshold wavelength for this metallic surface will be

The coefficient of \(x^7\) in \((1-x+2x^3)^{10}\) is ___________.

For the system of linear equations
\(2x-y+3z=5\)
\(3x+2y-z=7\)
\(4x+5y+\alpha z=\beta\),
which of the following is NOT correct?

The number of permutations, of the digits 1, 2, 3, ..., 7 without repetition, which neither contain the string 153 nor the string 2467, is ___________.

The number of atomic orbitals from the following having 5 radial nodes is ___________.
\(7s,\ 7p,\ 6s,\ 8p,\ 8d\)

A compound 'X' when treated with phthalic anhydride in presence of concentrated \(\mathrm{H_2SO_4}\) yields 'Y'. 'Y' is used as an acid/base indicator. 'X' and 'Y' are respectively

Match List I with List II

	LIST I		LIST II
A.	Torque	I.	\(\mathrm{ML^{-2}T^{-2}}\)
B.	Stress	II.	\(\mathrm{ML^{2}T^{-2}}\)
C.	Pressure gradient	III.	\(\mathrm{ML^{-1}T^{-1}}\)
D.	Coefficient of viscosity	IV.	\(\mathrm{ML^{-1}T^{-2}}\)

Choose the correct answer from the options given below:

The water gas on reacting with cobalt as a catalyst forms

The weight of a body on the earth is \(400\ \mathrm{N}\). Then weight of the body when taken to a depth half of the radius of the earth will be:

In a reflecting telescope, a secondary mirror is used to:

Proton \((\mathrm{P})\) and electron \((\mathrm{e})\) will have same de-Broglie wavelength when the ratio of their momentum is (assume, \(m_p=1849\,m_e\)):

Let \([t]\) denote the greatest integer \(\le t\). If the constant term in the expansion of
\(\left(3x^{2}-\frac{1}{2x^{5}}\right)^{7}\)
is \(\alpha\), then \([\alpha]\) is equal to ____________.

A charge particle moving in magnetic field \(B\), has the components of velocity along \(B\) as well as perpendicular to \(B\). The path of the charge particle will be

The shortest distance between the lines
\(\frac{x-4}{4}=\frac{y+2}{5}=\frac{z+3}{3}\)
and
\(\frac{x-1}{3}=\frac{y-3}{4}=\frac{z-4}{2}\)
is :

Let \(f(x) = \frac{x}{(1 + x^n)^{1/n}},\ x \in \mathbb{R} - \{-1\},\ n \in \mathbb{N},\ n > 2\).
If \(f^n(x) = (f \circ f \circ f \circ \ldots\) upto \(n\) times\()(x)\), then \(\lim_{n \to \infty} \int_0^1 x^{n-2}\left(f^n(x)\right)dx\) is equal to ___________.

Match List I with List II

	LIST I Name of reaction		LIST II Reagent used
A.	Hell-Volhard-Zelinsky reaction	I.	\(\mathrm{NaOH + I_2}\)
B.	Iodoform reaction	II.	(i) \(\mathrm{CrO_2Cl_2, CS_2}\) (ii) \(\mathrm{H_2O}\)
C.	Etard reaction	III.	(i) \(\mathrm{Br_2}\) / red phosphorus (ii) \(\mathrm{H_2O}\)
D.	Gatterman-Koch reaction	IV.	CO, HCl, anhyd. \(\mathrm{AlCl_3}\)

Choose the correct answer from the options given below:

Let the image of the point \(P(1, 2, 3)\) in the plane \(2x - y + z = 9\) be \(Q\). If the coordinates of the point \(R\) are \((6, 10, 7)\), then the square of the area of the triangle \(PQR\) is ___________.

The wavelength of an electron of kinetic energy \(4.50 \times 10^{-29}\) J is ___________ \(\times 10^{-5}\) m. (Nearest integer)
Given : mass of electron is \(9 \times 10^{-31}\) kg, \(h = 6.6 \times 10^{-34}\) J s

The number of words, with or without meaning, that can be formed using all the letters of the word ASSASSINATION so that the vowels occur together, is ___________.

The equation \(e^{4x} + 8e^{3x} + 13e^{2x} - 8e^{x} + 1 = 0,\ x \in \mathbb{R}\) has :

The output \(Y\) for the inputs \(A\) and \(B\) of circuit is given by

Truth table of the shown circuit is: