JEE Main 2023 (Online) 31st January Morning Shift

Paper was held on
Tue, Jan 31, 2023 3:30 AM

## Chemistry

The methods NOT involved in concentration of ore are
A. Liquation
B. Leaching
C. Electrolysis
D. Hydraulic washing
E. Fr

View Question When $$\mathrm{Cu}^{2+}$$ ion is treated with $$\mathrm{KI}$$, a white precipitate, $$\mathrm{X}$$ appears in solution.

View Question Match items of column I and II
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View Question Consider the following reaction
The correct statement for product B is. It is

View Question $$\mathrm{Nd^{2+}}$$ = __________

View Question The correct order of basicity of oxides of vanadium is :

View Question The correct increasing order of the ionic radii is

View Question The correct order of melting points of dichlorobenzenes is

View Question
Consider the above reaction and identify the product B.

View Question Identify X, Y and Z in the following reaction. (Equation not balanced)

View Question A protein '$$\mathrm{X}$$' with molecular weight of $$70,000 \mathrm{~u}$$, on hydrolysis gives amino acids. One of thes

View Question Choose the correct set of reagents for the following conversion.
trans $$\left(\mathrm{Ph}-\mathrm{CH}=\mathrm{CH}-\math

View Question Which transition in the hydrogen spectrum would have the same wavelength as the Balmer type transition from $$\mathrm{n=

View Question Adding surfactants in non polar solvent, the micelles structure will look like

View Question $$\mathrm{H}_{2} \mathrm{O}_{2}$$ acts as a reducing agent in :

View Question Which one of the following statements is correct for electrolysis of brine solution?

View Question Cobalt chloride when dissolved in water forms pink colored complex $$\underline{\mathrm{X}}$$ which has
octahedral geome

View Question An organic compound 'A' with emperical formula $$\mathrm{C}_{6} \mathrm{H}_{6} \mathrm{O}$$ gives sooty flame on burning

View Question Match List I with List II
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View Question Which of the following artificial sweeteners has the highest sweetness value in comparison to cane sugar ?

View Question The total pressure of a mixture of non-reacting gases $$\mathrm{X}(0.6 \mathrm{~g})$$ and $$\mathrm{Y}(0.45 \mathrm{~g})

View Question Zinc reacts with hydrochloric acid to give hydrogen and zinc chloride. The volume of hydrogen gas produced at STP from t

View Question The logarithm of equilibrium constant for the reaction $$\mathrm{Pd}^{2+}+4 \mathrm{Cl}^{-} \rightleftharpoons \mathrm{P

View Question The enthalpy change for the conversion of $$\frac{1}{2} \mathrm{Cl}_{2}(\mathrm{~g})$$ to $$\mathrm{Cl}^{-}$$(aq) is ($$

View Question On complete combustion, $$0.492 \mathrm{~g}$$ of an organic compound gave $$0.792 \mathrm{~g}$$ of $$\mathrm{CO}_{2}$$.

View Question At $$27^{\circ} \mathrm{C}$$, a solution containing $$2.5 \mathrm{~g}$$ of solute in $$250.0 \mathrm{~mL}$$ of solution

View Question The oxidation state of phosphorus in hypophosphoric acid is + _____________.

View Question How many of the transformations given below would result in aromatic amines?

View Question A $$\to$$ B
The rate constants of the above reaction at 200 K and 300 K are 0.03 min$$^{-1}$$ and 0.05 min$$^{-1}$$ resp

View Question For reaction : $$\mathrm{SO}_{2}(\mathrm{~g})+\frac{1}{2} \mathrm{O}_{2}(\mathrm{~g}) \rightleftharpoons \mathrm{SO}_{3}

View Question ## Mathematics

The number of real roots of the equation $$\sqrt{x^{2}-4 x+3}+\sqrt{x^{2}-9}=\sqrt{4 x^{2}-14 x+6}$$, is :

View Question A bag contains 6 balls. Two balls are drawn from it at random and both are found to be black. The probability that the b

View Question If $${\sin ^{ - 1}}{\alpha \over {17}} + {\cos ^{ - 1}}{4 \over 5} - {\tan ^{ - 1}}{{77} \over {36}} = 0,0

View Question Let a differentiable function $$f$$ satisfy $$f(x)+\int_\limits{3}^{x} \frac{f(t)}{t} d t=\sqrt{x+1}, x \geq 3$$. Then

View Question If the sum and product of four positive consecutive terms of a G.P., are 126 and 1296 , respectively, then the sum of co

View Question For the system of linear equations
$$x+y+z=6$$
$$\alpha x+\beta y+7 z=3$$
$$x+2 y+3 z=14$$
which of the following is NOT

View Question Let $$\mathrm{R}$$ be a relation on $$\mathrm{N} \times \mathbb{N}$$ defined by $$(a, b) ~\mathrm{R}~(c, d)$$ if and onl

View Question If the domain of the function $$f(x)=\frac{[x]}{1+x^{2}}$$, where $$[x]$$ is greatest integer $$\leq x$$, is $$[2,6)$$,

View Question A wire of length $$20 \mathrm{~m}$$ is to be cut into two pieces. A piece of length $$l_{1}$$ is bent to make a square o

View Question Let a circle $$C_{1}$$ be obtained on rolling the circle $$x^{2}+y^{2}-4 x-6 y+11=0$$ upwards 4 units on the tangent $$\

View Question Let $$\alpha \in (0,1)$$ and $$\beta = {\log _e}(1 - \alpha )$$. Let $${P_n}(x) = x + {{{x^2}} \over 2} + {{{x^3}} \ov

View Question Let the shortest distance between the lines
$$L: \frac{x-5}{-2}=\frac{y-\lambda}{0}=\frac{z+\lambda}{1}, \lambda \geq 0

View Question Let $$\vec{a}=2 \hat{i}+\hat{j}+\hat{k}$$, and $$\vec{b}$$ and $$\vec{c}$$ be two nonzero vectors such that $$|\vec{a}+\

View Question Let $$A = \left( {\matrix{
1 & 0 & 0 \cr
0 & 4 & { - 1} \cr
0 & {12} & { - 3} \cr
} } \right)$$. Then t

View Question For all $$z \in C$$ on the curve $$C_{1}:|z|=4$$, let the locus of the point $$z+\frac{1}{z}$$ be the curve $$\mathrm{C}

View Question The value of $$\int_\limits{\frac{\pi}{3}}^{\frac{\pi}{2}} \frac{(2+3 \sin x)}{\sin x(1+\cos x)} d x$$ is equal to :

View Question If the maximum distance of normal to the ellipse $$\frac{x^{2}}{4}+\frac{y^{2}}{b^{2}}=1, b

View Question Let $$y=f(x)=\sin ^{3}\left(\frac{\pi}{3}\left(\cos \left(\frac{\pi}{3 \sqrt{2}}\left(-4 x^{3}+5 x^{2}+1\right)^{\frac{3

View Question $$(\mathrm{S} 1)~(p \Rightarrow q) \vee(p \wedge(\sim q))$$ is a tautology
$$(\mathrm{S} 2)~((\sim p) \Rightarrow(\sim q

View Question Let $$\mathrm{y}=f(x)$$ represent a parabola with focus $$\left(-\frac{1}{2}, 0\right)$$ and directrix $$y=-\frac{1}{2}$

View Question The remainder on dividing $$5^{99}$$ by 11 is ____________.

View Question Let the line $$L: \frac{x-1}{2}=\frac{y+1}{-1}=\frac{z-3}{1}$$ intersect the plane $$2 x+y+3 z=16$$ at the point
$$P$$.

View Question Let 5 digit numbers be constructed using the digits $$0,2,3,4,7,9$$ with repetition allowed, and are arranged in ascendi

View Question Let $$\alpha>0$$, be the smallest number such that the expansion of $$\left(x^{\frac{2}{3}}+\frac{2}{x^{3}}\right)^{30}$

View Question Number of 4-digit numbers that are less than or equal to 2800 and either divisible by 3 or by 11 , is equal to _________

View Question Let $$a_{1}, a_{2}, \ldots, a_{n}$$ be in A.P. If $$a_{5}=2 a_{7}$$ and $$a_{11}=18$$, then
$$12\left(\frac{1}{\sqrt{a_

View Question Let $$\vec{a}$$ and $$\vec{b}$$ be two vectors such that $$|\vec{a}|=\sqrt{14},|\vec{b}|=\sqrt{6}$$ and $$|\vec{a} \time

View Question Let for $$x \in \mathbb{R}$$,
$$
f(x)=\frac{x+|x|}{2} \text { and } g(x)=\left\{\begin{array}{cc}
x, & x
Then area bound

View Question Let $$\theta$$ be the angle between the planes $$P_{1}: \vec{r} \cdot(\hat{i}+\hat{j}+2 \hat{k})=9$$ and $$P_{2}: \vec{r

View Question If the variance of the frequency distribution
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View Question ## Physics

The initial speed of a projectile fired from ground is $$\mathrm{u}$$. At the highest point during its motion, the speed

View Question A bar magnet with a magnetic moment $$5.0 \mathrm{Am}^{2}$$ is placed in parallel position relative to a magnetic field

View Question Spherical insulating ball and a spherical metallic ball of same size and mass are dropped from the same height. Choose t

View Question Given below are two statements : One is labelled as Assertion A and the other is labelled as Reason R
Assertion A : The

View Question The effect of increase in temperature on the number of electrons in conduction band ($$\mathrm{n_e}$$) and resistance of

View Question Which of the following correctly represents the variation of electric potential $$(\mathrm{V})$$ of a charged spherical

View Question The amplitude of $$15 \sin (1000 \pi \mathrm{t})$$ is modulated by $$10 \sin (4 \pi \mathrm{t})$$ signal. The amplitude

View Question The drift velocity of electrons for a conductor connected in an electrical circuit is $$\mathrm{V}_{\mathrm{d}}$$. The c

View Question A rod with circular cross-section area $$2 \mathrm{~cm}^{2}$$ and length $$40 \mathrm{~cm}$$ is wound uniformly with 400

View Question At a certain depth "d " below surface of earth, value of acceleration due to gravity becomes four times that of its valu

View Question Two polaroide $$\mathrm{A}$$ and $$\mathrm{B}$$ are placed in such a way that the pass-axis of polaroids are perpendicul

View Question 100 balls each of mass $$\mathrm{m}$$ moving with speed $$v$$ simultaneously strike a wall normally and reflected back w

View Question A free neutron decays into a proton but a free proton does not decay into neutron. This is because

View Question If $$\mathrm{R}, \mathrm{X}_{\mathrm{L}}$$, and $$\mathrm{X}_{\mathrm{C}}$$ represent resistance, inductive reactance an

View Question The maximum potential energy of a block executing simple harmonic motion is $$25 \mathrm{~J}$$. A is amplitude of oscill

View Question If 1000 droplets of water of surface tension $$0.07 \mathrm{~N} / \mathrm{m}$$, having same radius $$1 \mathrm{~mm}$$ ea

View Question As shown in figure, a $$70 \mathrm{~kg}$$ garden roller is pushed with a force of $$\vec{F}=200 \mathrm{~N}$$ at an angl

View Question The pressure of a gas changes linearly with volume from $$\mathrm{A}$$ to $$\mathrm{B}$$ as shown in figure. If no heat

View Question The correct relation between $$\gamma = {{{c_p}} \over {{c_v}}}$$ and temperature T is :

View Question If a source of electromagnetic radiation having power $$15 \mathrm{~kW}$$ produces $$10^{16}$$ photons per second, the r

View Question A lift of mass $$\mathrm{M}=500 \mathrm{~kg}$$ is descending with speed of $$2 \mathrm{~ms}^{-1}$$. Its supporting cable

View Question For hydrogen atom, $$\lambda_{1}$$ and $$\lambda_{2}$$ are the wavelengths corresponding to the transitions 1 and 2 resp

View Question In the figure given below, a block of mass $$M=490 \mathrm{~g}$$ placed on a frictionless table is connected with two sp

View Question The speed of a swimmer is $$4 \mathrm{~km} \mathrm{~h}^{-1}$$ in still water. If the swimmer makes his strokes normal to

View Question A solid sphere of mass $$1 \mathrm{~kg}$$ rolls without slipping on a plane surface. Its kinetic energy is $$7 \times 10

View Question Expression for an electric field is given by $$\overrightarrow{\mathrm{E}}=4000 x^{2} \hat{i} \frac{\mathrm{V}}{\mathrm{

View Question A thin rod having a length of $$1 \mathrm{~m}$$ and area of cross-section $$3 \times 10^{-6} \mathrm{~m}^{2}$$ is suspen

View Question In a medium the speed of light wave decreases to $$0.2$$ times to its speed in free space The ratio of relative permitti

View Question Two identical cells, when connected either in parallel or in series gives same current in an external resistance $$5 ~\O

View Question An inductor of $$0.5 ~\mathrm{mH}$$, a capacitor of $$20 ~\mu \mathrm{F}$$ and resistance of $$20 ~\Omega$$ are connecte

View Question