JEE Main 2023 01 Feb Shift 2

79 Questions • 180 Minutes • 2023

Take This Paper Online

All Questions — Click to View Solution

The molality of a $10\%(\mathrm{v/V})$ solution of di-bromine solution in $\mathrm{CCl_4}$ (carbon tetrachloride) is $\mathrm{x}$ '. $\mathrm{x}=$ _____ $\times10^{-2}\mathrm{M}$. (Nearest integer) [Given : molar mass of $\mathrm{Br_2}=160\ \mathrm{g\ mol^{-1}}$ atomic mass of $\mathrm{C}=12\ \mathrm{g\ mol^{-1}}$ atomic mass of $\mathrm{Cl}=35.5\ \mathrm{g\ mol^{-1}}$ density of dibromine $=3.2\ \mathrm{g\ cm^{-3}}$ density of $\mathrm{CCl_4}=1.6\ \mathrm{g\ cm^{-3}}$]

View Answer & Solution

$0.3\ \mathrm{g}$ of ethane undergoes combustion at $27^{\circ}\mathrm{C}$ in a bomb calorimeter. The temperature of calorimeter system (including the water) is found to rise by $0.5^{\circ}\mathrm{C}$. The heat evolved during combustion of ethane at constant pressure is $\mathrm{kJ mol^{-1}}$. (Nearest integer) [Given : The heat capacity of the calorimeter system is $20\ \mathrm{kJ\ K^{-1}},\mathrm{R}=8.3\ \mathrm{JK^{-1}\ \ mol^{-1}}$. Assume ideal gas behaviour. Assume ideal gas behaviour. Atomic mass of $\mathrm{C}$ and $\mathrm{H}$ are $12$ and $1\ \mathrm{g\ mol^{-1}}$ respectively]

View Answer & Solution

A metal M crystallizes into two lattices :- face centred cubic (fcc) and body centred cubic (bcc) with unit cell edge length of $2.0$ and $2.5\ \mathrm{\AA}$ respectively. The ratio of densities of lattices fcc to bcc for the metal M is _______(Nearest integer)

View Answer & Solution

$20\%$ of acetic acid is dissociated when its $5\ \mathrm{g}$ is added to $500\ \mathrm{mL}$ of water. The depression in freezing point of such solution is _____ $\times10^{-3}\ ^{\circ}\mathrm{C}$. Atomic mass of $\mathrm{C,H}$ and $\mathrm{O}$ are $12,\ 1$ and $16$ a.m.u. respectively. [Given : Molal depression constant and density of water are $1.86\ \ \mathrm{K\ kg\ \ mol^{-1}}$ and $1\ \mathrm{g\ cm^{-3}}$ respectively.

View Answer & Solution

$1\times10^{-5}\ \mathrm{M\ AgNO_3}$ is added to $1\ \mathrm{L}$ of saturated solution of $\mathrm{AgBr}$. The conductivity of this solution at $298\ \mathrm{K}$ is _______ $\times10^{-8}\ \mathrm{S\ m^{-1}}$. [Given : $\mathrm{K_{sp}(AgBr)}=4.9\times10^{-13}$ at $298\ \mathrm{K}$ $\lambda^0_{\mathrm{Ag^+}}=6\times10^{-3}\ \mathrm{Sm^2\ \ mol^{-1}}$ $\lambda^0_{\mathrm{Br^-}}=8\times10^{-3}\ \mathrm{Sm^2\ \ mol^{-1}}$ $\lambda^0_{\mathrm{NO_3^-}}=7\times10^{-3}\ \mathrm{Sm^2\ \ mol^{-1}}$]

View Answer & Solution

$\mathrm{A}\rightarrow\mathrm{B}$ The above reaction is of zero order. Half life of this reaction is $50\ \mathrm{min}$. The time taken for the concentration of $\mathrm{A}$ to reduce to one-fourth of its initial value is min . (Nearest integer)

View Answer & Solution

Among following compounds, the number of those present in copper matte is A. $\mathrm{CuCO_3}$ B. $\mathrm{Cu_2\ S}$ C. $\mathrm{Cu_2\ O}$ D. $\mathrm{FeO}$

View Answer & Solution

The spin only magnetic moment of $\left[\mathrm{Mn\left(H_2O\right)_6}\right]^{2+}$ complexes is B. M. (Nearest integer) (Given atomic number of $\mathrm{Mn}=25$)

View Answer & Solution

Among the following, the number of tranquilizer/s is/are A. Chloroliazepoxide B. Veronal C. Valium D. Salvarsan

View Answer & Solution

Number of integral solutions to the equation $x+y+z=21$, where $x\geq1,y\geq3,z\geq4$, is equal to _____ .

View Answer & Solution

The total number of six digit numbers, formed using the digits $4,5,9$ only and divisible by $6$, is _____ .

View Answer & Solution

The sum of the common terms of the following three arithmetic progressions. $3,7,11,15,.............,399$ $2,5,8,11,.........359$ and $2,7,12,17,......,197$, is equal to _____ .

View Answer & Solution

If the term without $x$ in the expansion of $\left(x^{\frac{2}{3}}+\frac{\alpha}{x^3}\right)^{22}$ is $7315$ , then $|\alpha|$ is equal to _____ .

View Answer & Solution

Let the sixth term in the binomial expansion of $\left(\sqrt{2^{\log_2\left(10-3^x\right)}}+\sqrt[5]{2^{(x-2)\log_2 3}}\right)^m$ powers of $2^{(x-2)\log_2 3}$, be $21$ . If the binomial coefficients of the second, third and fourth terms in the expansion are respectively the first, third and fifth terms of an A.P., then the sum of the squares of all possible values of $x$ is _____ .

View Answer & Solution

If the $x$-intercept of a focal chord of the parabola $y^2=8x+4y+4$ is $3$, then the length of this chord is equal to _____ .

View Answer & Solution

The line $x=8$ is the directrix of the ellipse $E:\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ with the corresponding focus $(2,0)$. If the tangent to $E$ at the point $P$ in the first quadrant passes through the point $\left(0,4\sqrt{3}\right)$ and intersects the $x$-axis at $Q$, then $(3PQ)^2$ is equal to _____ .

View Answer & Solution

If $\int_0^{\pi}\frac{5^{\cos x}\left(1+\cos x\cos 3x+\cos^2x+\cos^3x\cos 3x\right)dx}{1+5^{\cos x}}=\frac{k\pi}{16}$, then $k$ is equal to _____ .

View Answer & Solution

Let $\alpha x+\beta y+\gamma z=1$ be the equation of a plane passing through the point $(3,-2,5)$ and perpendicular to the line joining the points $(1,2,3)$ and $(-2,3,5)$. Then the value of $\alpha\beta\gamma$ is equal to _____ .

View Answer & Solution

The point of intersection $C$ of the plane $8x+y+2z=0$ and the line joining the points $A(-3,-6,1)$ and $B(2,4,-3)$ divides the line segment $AB$ internally in the ratio $k:1$. If $a,b,c$ ($|a|,|b|,|c|$ are coprime) are the direction ratios of the perpendicular from the point $C$ on the line $\frac{1-x}{1}=\frac{y+4}{2}=\frac{z+2}{3}$, then $|a+b+c|$ is equal to _____ .

View Answer & Solution

Paper Info

Exam: JEE
Year: 2023
Questions: 79
Duration: 180 mins

Take Online All Papers