JEE Main 2023 (Online) 30th January Morning Shift

Paper was held on
Mon, Jan 30, 2023 3:30 AM

## Chemistry

Caprolactam when heated at high temperature in presence of water, gives

View Question To inhibit the growth of tumours, identify the compounds used from the following :
A. EDTA
B. Coordination Compounds of

View Question The major products 'A' and 'B', respectively, are

View Question In the wet tests for identification of various cations by precipitation, which transition element cation doesn't belong

View Question Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A)

View Question What is the correct order of acidity of the protons marked $$\mathrm{A}-\mathrm{D}$$ in the given compounds ?

View Question Formation of photochemical smog involves the following reaction in which $$\mathrm{A}, \mathrm{B}$$ and $$\mathrm{C}$$ a

View Question Which of the following is correct order of ligand field strength?

View Question Which of the following compounds would give the following set of qualitative analysis ?
(i) Fehling's Test : Positive
(i

View Question In the extraction of copper, its sulphide ore is heated in a reverberatory furnace after mixing with silica to:

View Question During the qualitative analysis of $$\mathrm{SO}_{3}^{2-}$$ using dilute $$\mathrm{H}_{2} \mathrm{SO}_{4}, \mathrm{SO}_{

View Question For $$\mathrm{OF}_{2}$$ molecule consider the following :
A. Number of lone pairs on oxygen is 2 .
B. FOF angle is less

View Question Match List I with List II
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View Question Amongst the following compounds, which one is an antacid?

View Question Benzyl isocyanide can be obtained by :
A.
B.
C.
D.
Choose the correct answer from the options given below :

View Question Match List I with List II
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View Question Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A)

View Question Match List I with List II
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View Question Lithium aluminium hydride can be prepared from the reaction of :

View Question The alkaline earth metal sulphate(s) which are readily soluble in water is/are :
A. $$\mathrm{BeSO}_{4}$$
B. $$\mathrm{M

View Question A $$300 \mathrm{~mL}$$ bottle of soft drink has $$0.2 ~\mathrm{M}~ \mathrm{CO}_{2}$$ dissolved in it. Assuming $$\mathrm

View Question Some amount of dichloromethane $$\left(\mathrm{CH}_{2} \mathrm{Cl}_{2}\right)$$ is added to $$671.141 \mathrm{~mL}$$ of

View Question If compound A reacts with B following first order kinetics with rate constant $$2.011 \times 10^{-3} \mathrm{~s}^{-1}$$.

View Question $$600 \mathrm{~mL}$$ of $$0.01~\mathrm{M} ~\mathrm{HCl}$$ is mixed with $$400 \mathrm{~mL}$$ of $$0.01~\mathrm{M} ~\math

View Question When 2 litre of ideal gas expands isothermally into vacuum to a total volume of 6 litre, the change in internal energy i

View Question Consider the cell
$$\mathrm{Pt}_{(\mathrm{s})}\left|\mathrm{H}_{2}(\mathrm{~g}, 1 \mathrm{~atm})\right| \mathrm{H}^{+}(\

View Question A trisubstituted compound '$$\mathrm{A}$$', $$\mathrm{C}_{10} \mathrm{H}_{12} \mathrm{O}_{2}$$ gives neutral $$\mathrm{F

View Question The number of electrons involved in the reduction of permanganate to manganese dioxide in acidic medium is _____________

View Question A solution containing $$2 \mathrm{~g}$$ of a non-volatile solute in $$20 \mathrm{~g}$$ of water boils at $$373.52 \mathr

View Question The energy of one mole of photons of radiation of frequency $$2 \times 10^{12} \mathrm{~Hz}$$ in $$\mathrm{J} ~\mathrm{m

View Question ## Mathematics

Among the statements :
$$(\mathrm{S} 1)~((\mathrm{p} \vee \mathrm{q}) \Rightarrow \mathrm{r}) \Leftrightarrow(\mathrm{p}

View Question If $${a_n} = {{ - 2} \over {4{n^2} - 16n + 15}}$$, then $${a_1} + {a_2}\, + \,....\, + \,{a_{25}}$$ is equal to :

View Question A straight line cuts off the intercepts $$\mathrm{OA}=\mathrm{a}$$ and $$\mathrm{OB}=\mathrm{b}$$ on the positive direct

View Question Let the solution curve $$y=y(x)$$ of the differential equation $$
\frac{\mathrm{d} y}{\mathrm{~d} x}-\frac{3 x^{5} \tan

View Question The minimum number of elements that must be added to the relation $$ \mathrm{R}=\{(\mathrm{a}, \mathrm{b}),(\mathrm{b},

View Question Let the system of linear equations
$$x+y+kz=2$$
$$2x+3y-z=1$$
$$3x+4y+2z=k$$
have infinitely many solutions. Then the sy

View Question If [t] denotes the greatest integer $$\le \mathrm{t}$$, then the value of $${{3(e - 1)} \over e}\int\limits_1^2 {{x^2}{e

View Question If $$\mathrm{P}(\mathrm{h}, \mathrm{k})$$ be a point on the parabola $$x=4 y^{2}$$, which is nearest to the point $$\mat

View Question If $$\overrightarrow a ,\overrightarrow b ,\overrightarrow c $$ are three non-zero vectors and $$\widehat n$$ is a unit

View Question If the coefficient of $$x^{15}$$ in the expansion of $$\left(\mathrm{a} x^{3}+\frac{1}{\mathrm{~b} x^{1 / 3}}\right)^{15

View Question The coefficient of $${x^{301}}$$ in $${(1 + x)^{500}} + x{(1 + x)^{499}} + {x^2}{(1 + x)^{498}}\, + \,...\, + \,{x^{500}

View Question Suppose $$f: \mathbb{R} \rightarrow(0, \infty)$$ be a differentiable function such that $$5 f(x+y)=f(x) \cdot f(y), \for

View Question If the solution of the equation $$\log _{\cos x} \cot x+4 \log _{\sin x} \tan x=1, x \in\left(0, \frac{\pi}{2}\right)$$,

View Question Let $$A=\left(\begin{array}{cc}\mathrm{m} & \mathrm{n} \\ \mathrm{p} & \mathrm{q}\end{array}\right), \mathrm{d}=|\mathrm

View Question If $$\tan 15^\circ + {1 \over {\tan 75^\circ }} + {1 \over {\tan 105^\circ }} + \tan 195^\circ = 2a$$, then the value

View Question The line $$l_1$$ passes through the point (2, 6, 2) and is perpendicular to the plane $$2x+y-2z=10$$. Then the shortest

View Question The number of points on the curve $$y=54 x^{5}-135 x^{4}-70 x^{3}+180 x^{2}+210 x$$ at which the normal lines are parall

View Question Let a unit vector $$\widehat{O P}$$ make angles $$\alpha, \beta, \gamma$$ with the positive directions of the co-ordinat

View Question If an unbiased die, marked with $$-2,-1,0,1,2,3$$ on its faces, is thrown five times, then the probability that the prod

View Question Let $$y=x+2,4y=3x+6$$ and $$3y=4x+1$$ be three tangent lines to the circle $$(x-h)^2+(y-k)^2=r^2$$. Then $$h+k$$ is equa

View Question $$\lim_\limits{x \rightarrow 0} \frac{48}{x^{4}} \int_\limits{0}^{x} \frac{t^{3}}{t^{6}+1} \mathrm{~d} t$$ is equal to _

View Question Number of 4-digit numbers (the repetition of digits is allowed) which are made using the digits 1, 2, 3 and 5, and are d

View Question Let $$\sum_\limits{n=0}^{\infty} \frac{\mathrm{n}^{3}((2 \mathrm{n}) !)+(2 \mathrm{n}-1)(\mathrm{n} !)}{(\mathrm{n} !)((

View Question If the equation of the plane passing through the point $$(1,1,2)$$ and perpendicular to the line $$x-3 y+ 2 z-1=0=4 x-y+

View Question Let $$z=1+i$$ and $$z_{1}=\frac{1+i \bar{z}}{\bar{z}(1-z)+\frac{1}{z}}$$. Then $$\frac{12}{\pi} \arg \left(z_{1}\right)$

View Question Let $$\alpha$$ be the area of the larger region bounded by the curve $$y^{2}=8 x$$ and the lines $$y=x$$ and $$x=2$$, wh

View Question Let $$S=\{1,2,3,4,5,6\}$$. Then the number of one-one functions $$f: \mathrm{S} \rightarrow \mathrm{P}(\mathrm{S})$$, wh

View Question If $$\lambda_{1}

View Question Let $$f^{1}(x)=\frac{3 x+2}{2 x+3}, x \in \mathbf{R}-\left\{\frac{-3}{2}\right\}$$ For $$\mathrm{n} \geq 2$$, define $$f

View Question The mean and variance of 7 observations are 8 and 16 respectively. If one observation 14 is omitted and a and b are resp

View Question ## Physics

A massless square loop, of wire of resistance $$10 \Omega$$, supporting a mass of $$1 \mathrm{~g}$$, hangs vertically wi

View Question The height of liquid column raised in a capillary tube of certain radius when dipped in liquid A vertically is, $$5 \mat

View Question A small object at rest, absorbs a light pulse of power $$20 \mathrm{~mW}$$ and duration $$300 \mathrm{~ns}$$. Assuming s

View Question Choose the correct relationship between Poisson ratio $$(\sigma)$$, bulk modulus (K) and modulus of rigidity $$(\eta)$$

View Question The pressure $$(\mathrm{P})$$ and temperature ($$\mathrm{T})$$ relationship of an ideal gas obeys the equation
$$\mathr

View Question The output waveform of the given logical circuit for the following inputs A and B as shown below, is :

View Question As per the given figure, a small ball P slides down the quadrant of a circle and hits the other ball Q of equal mass whi

View Question The charge flowing in a conductor changes with time as $$\mathrm{Q}(\mathrm{t})=\alpha \mathrm{t}-\beta \mathrm{t}^{2}+\

View Question Heat is given to an ideal gas in an isothermal process.
A. Internal energy of the gas will decrease.
B. Internal energy

View Question Electric field in a certain region is given by $$\overrightarrow{\mathrm{E}}=\left(\frac{\mathrm{A}}{x^{2}} \hat{i}+\fra

View Question Two isolated metallic solid spheres of radii $$\mathrm{R}$$ and $$2 \mathrm{R}$$ are charged such that both have same ch

View Question A sinusoidal carrier voltage is amplitude modulated. The resultant amplitude modulated wave has maximum and minimum ampl

View Question Speed of an electron in Bohr's $$7^{\text {th }}$$ orbit for Hydrogen atom is $$3.6 \times 10^{6} \mathrm{~m} / \mathrm{

View Question The magnetic moments associated with two closely wound circular coils $$\mathrm{A}$$ and $$\mathrm{B}$$ of radius $$\mat

View Question The figure represents the momentum time ($$\mathrm{p}-\mathrm{t}$$) curve for a particle moving along an axis under the

View Question If the gravitational field in the space is given as $$\left(-\frac{K}{r^{2}}\right)$$. Taking the reference point to be

View Question Match Column-I with Column-II :
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View Question A ball of mass $$200 \mathrm{~g}$$ rests on a vertical post of height $$20 \mathrm{~m}$$. A bullet of mass $$10 \mathrm{

View Question A person has been using spectacles of power $$-1.0$$ dioptre for distant vision and a separate reading glass of power $$

View Question In a series LR circuit with $$\mathrm{X_L=R}$$, power factor P1. If a capacitor of capacitance C with $$\mathrm{X_C=X_L}

View Question In the following circuit, the magnitude of current I1, is ___________ A.

View Question In an experiment for estimating the value of focal length of converging mirror, image of an object placed at $$40 \mathr

View Question The general displacement of a simple harmonic oscillator is $$x = A\sin \omega t$$. Let T be its time period. The slope

View Question In Young's double slit experiment, two slits $$S_{1}$$ and $$S_{2}$$ are '$$d$$' distance apart and the separation from

View Question A thin uniform rod of length $$2 \mathrm{~m}$$, cross sectional area '$$A$$' and density '$$\mathrm{d}$$' is rotated abo

View Question A horse rider covers half the distance with $$5 \mathrm{~m} / \mathrm{s}$$ speed. The remaining part of the distance was

View Question
As per the given figure, if $$\frac{\mathrm{dI}}{\mathrm{dt}}=-1 \mathrm{~A} / s$$ then the value of $$\mathrm{V}_{\mat

View Question In a screw gauge, there are 100 divisions on the circular scale and the main scale moves by $$0.5 \mathrm{~mm}$$ on a co

View Question A point source of light is placed at the centre of curvature of a hemispherical surface. The source emits a power of $$2

View Question A capacitor of capacitance $$900 \mu \mathrm{F}$$ is charged by a $$100 \mathrm{~V}$$ battery. The capacitor is disconne

View Question