JEE Main 2023 (Online) 8th April Morning Shift

Paper was held on
Sat, Apr 8, 2023 3:30 AM

## Chemistry

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: Butan

View Question Which of the following complex is octahedral, diamagnetic and the most stable?

View Question Match List I with List II:
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View Question The correct order of electronegativity for given elements is:

View Question Match List I with List II:
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View Question The correct order of spin only magnetic moments for the following complex ions is

View Question $$2 \mathrm{IO}_{3}^{-}+x \mathrm{I}^{-}+12 \mathrm{H}^{+} \rightarrow 6 \mathrm{I}_{2}+6 \mathrm{H}_{2} \mathrm{O}$$
Wh

View Question Match List I with List II:
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View Question Given below are two statements:
Statement I : Lithium and Magnesium do not form superoxide
Statement II : The ionic radi

View Question Which halogen is known to cause the reaction given below :
$$2 \mathrm{Cu}^{2+}+4 \mathrm{X}^{-} \rightarrow \mathrm{Cu}

View Question In chromyl chloride, the number of d-electrons present on chromium is same as in (Given at no. of $$\mathrm{Ti}: 22, \ma

View Question The major product formed in the following reaction is:

View Question The reaction
$$\frac{1}{2} \mathrm{H}_{2}(\mathrm{~g})+\mathrm{AgCl}(\mathrm{s}) \rightleftharpoons \mathrm{H}^{+}(\math

View Question Sulphur (S) containing amino acids from the following are:
(a) isoleucine (b) cysteine (c) lysine (d) methionine (e) glu

View Question What is the purpose of adding gypsum to cement?

View Question The water gas on reacting with cobalt as a catalyst forms

View Question Which of the following represent the Freundlich adsorption isotherms?
Choose the correct answer from the options given

View Question Choose the halogen which is most reactive towards $$\mathrm{S}_{\mathrm{N}} 1$$ reaction in the given compounds (A, B, C

View Question Match List I with List II:
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View Question Which of the following metals can be extracted through alkali leaching technique?

View Question The number of given statement/s which is/are correct is __________.
(A) The stronger the temperature dependence of the r

View Question The number of following factors which affect the percent covalent character of the ionic bond is _________
(A) Polarisin

View Question $$0.5 \mathrm{~g}$$ of an organic compound $$(\mathrm{X})$$ with $$60 \%$$ carbon will produce __________ $$\times 10^{-

View Question The number of following statement/s which is/are incorrect is ___________
(A) Line emission spectra are used to study th

View Question $$\mathrm{XeF}_{4}$$ reacts with $$\mathrm{SbF}_{5}$$ to form
$$[\mathrm{XeF}_{m}]^{\mathrm{n}+}\left[\mathrm{SbF}_{y}\r

View Question The titration curve of weak acid vs. strong base with phenolphthalein as indictor) is shown below. The $$\mathrm{K}_{\te

View Question When a $$60 \mathrm{~W}$$ electric heater is immersed in a gas for 100 s in a constant volume container with adiabatic w

View Question Molar mass of the hydrocarbon (X) which on ozonolysis consumes one mole of $$\mathrm{O}_{3}$$ per mole of $$(\mathrm{X})

View Question The vapour pressure vs. temperature curve for a solution solvent system is shown below.
The boiling point of the solven

View Question
Three bulbs are filled with $$\mathrm{CH}_{4}, \mathrm{CO}_{2}$$ and $$\mathrm{Ne}$$ as shown in the picture. The bulbs

View Question ## Mathematics

The number of arrangements of the letters of the word "INDEPENDENCE" in which all the vowels always occur together is :

View Question Let $$f(x)=\frac{\sin x+\cos x-\sqrt{2}}{\sin x-\cos x}, x \in[0, \pi]-\left\{\frac{\pi}{4}\right\}$$. Then $$f\left(\fr

View Question Let $$A=\left[\begin{array}{ccc}2 & 1 & 0 \\ 1 & 2 & -1 \\ 0 & -1 & 2\end{array}\right]$$. If $$|\operatorname{adj}(\ope

View Question $$\lim_\limits{x \rightarrow 0}\left(\left(\frac{\left(1-\cos ^{2}(3 x)\right.}{\cos ^{3}(4 x)}\right)\left(\frac{\sin ^

View Question In a bolt factory, machines $$A, B$$ and $$C$$ manufacture respectively $$20 \%, 30 \%$$ and $$50 \%$$ of the total bolt

View Question The number of ways, in which 5 girls and 7 boys can be seated at a round table so that no two girls sit together, is :

View Question 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}=

View Question Let $$R$$ be the focus of the parabola $$y^{2}=20 x$$ and the line $$y=m x+c$$ intersect the parabola at two points $$P$

View Question The area of the region $$\left\{(x, y): x^{2} \leq y \leq 8-x^{2}, y \leq 7\right\}$$ is :

View Question Let $$C(\alpha, \beta)$$ be the circumcenter of the triangle formed by the lines
$$4 x+3 y=69$$
$$4 y-3 x=17$$, and
$$x+

View Question Let $$I(x)=\int \frac{(x+1)}{x\left(1+x e^{x}\right)^{2}} d x, x > 0$$. If $$\lim_\limits{x \rightarrow \infty} I(x)=0$$

View Question Let $$\alpha, \beta, \gamma$$ be the three roots of the equation $$x^{3}+b x+c=0$$. If $$\beta \gamma=1=-\alpha$$, then

View Question Let the number of elements in sets $$A$$ and $$B$$ be five and two respectively. Then the number of subsets of $$A \time

View Question If the coefficients of three consecutive terms in the expansion of $$(1+x)^{n}$$ are in the ratio $$1: 5: 20$$, then the

View Question Let $$S_{K}=\frac{1+2+\ldots+K}{K}$$ and $$\sum_\limits{j=1}^{n} S_{j}^{2}=\frac{n}{A}\left(B n^{2}+C n+D\right)$$, wher

View Question If the equation of the plane containing the line $$x+2 y+3 z-4=0=2 x+y-z+5$$ and perpendicular to the plane $\vec{r}=(\h

View Question Let $$P=\left[\begin{array}{cc}\frac{\sqrt{3}}{2} & \frac{1}{2} \\ -\frac{1}{2} & \frac{\sqrt{3}}{2}\end{array}\right],

View Question If for $$z=\alpha+i \beta,|z+2|=z+4(1+i)$$, then $$\alpha+\beta$$ and $$\alpha \beta$$ are the roots of the equation :

View Question Negation of $$(p \Rightarrow q) \Rightarrow(q \Rightarrow p)$$ is :

View Question If the points with position vectors $$\alpha \hat{i}+10 \hat{j}+13 \hat{k}, 6 \hat{i}+11 \hat{j}+11 \hat{k}, \frac{9}{2}

View Question Let $$[t]$$ denote the greatest integer $$\leq t$$. Then $$\frac{2}{\pi} \int_\limits{\pi / 6}^{5 \pi / 6}(8[\operatorna

View Question Let $$A=\{0,3,4,6,7,8,9,10\}$$ and $$R$$ be the relation defined on $$A$$ such that $$R=\{(x, y) \in A \times A: x-y$$ i

View Question If the solution curve of the differential equation $$\left(y-2 \log _{e} x\right) d x+\left(x \log _{e} x^{2}\right) d y

View Question Let the mean and variance of 8 numbers $$x, y, 10,12,6,12,4,8$$ be $$9$$ and $$9.25$$ respectively. If $$x > y$$, then $

View Question Let $$\vec{a}=6 \hat{i}+9 \hat{j}+12 \hat{k}, \vec{b}=\alpha \hat{i}+11 \hat{j}-2 \hat{k}$$ and $$\vec{c}$$ be vectors s

View Question If $$a_{\alpha}$$ is the greatest term in the sequence $$\alpha_{n}=\frac{n^{3}}{n^{4}+147}, n=1,2,3, \ldots$$, then $$\

View Question Let $$[t]$$ denote the greatest integer $$\leq t$$. If the constant term in the expansion of $$\left(3 x^{2}-\frac{1}{2

View Question Let $$\lambda_{1}, \lambda_{2}$$ be the values of $$\lambda$$ for which the points $$\left(\frac{5}{2}, 1, \lambda\right

View Question Consider a circle $$C_{1}: x^{2}+y^{2}-4 x-2 y=\alpha-5$$. Let its mirror image in the line $$y=2 x+1$$ be another circl

View Question The largest natural number $$n$$ such that $$3^{n}$$ divides $$66 !$$ is ___________.

View Question ## Physics

An air bubble of volume $$1 \mathrm{~cm}^{3}$$ rises from the bottom of a lake $$40 \mathrm{~m}$$ deep to the surface at

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

View Question Certain galvanometers have a fixed core made of non magnetic metallic material. The function of this metallic material i

View Question Given below are two statements:
Statement I: If $$\mathrm{E}$$ be the total energy of a satellite moving around the eart

View Question Dimension of $$\frac{1}{\mu_{0} \in_{0}}$$ should be equal to

View Question Graphical variation of electric field due to a uniformly charged insulating solid sphere of radius $$\mathrm{R}$$, with

View Question Given below are two statements:
Statement I: If heat is added to a system, its temperature must increase.
Statement II:

View Question A charge particle moving in magnetic field B, has the components of velocity along B as well as perpendicular to B. The

View Question The engine of a train moving with speed $$10 \mathrm{~ms}^{-1}$$ towards a platform sounds a whistle at frequency $$400

View Question Two forces having magnitude $$A$$ and $$\frac{A}{2}$$ are perpendicular to each other. The magnitude of their resultant

View Question At any instant the velocity of a particle of mass $$500 \mathrm{~g}$$ is $$\left(2 t \hat{i}+3 t^{2} \hat{j}\right) \mat

View Question A cylindrical wire of mass $$(0.4 \pm 0.01) \mathrm{g}$$ has length $$(8 \pm 0.04) \mathrm{cm}$$ and radius $$(6 \pm 0.0

View Question Two projectiles A and B are thrown with initial velocities of $$40 \mathrm{~m} / \mathrm{s}$$ and $$60 \mathrm{~m} / \ma

View Question For a nucleus $${ }_{\mathrm{A}}^{\mathrm{A}} \mathrm{X}$$ having mass number $$\mathrm{A}$$ and atomic number $$\mathrm

View Question A TV transmitting antenna is $$98 \mathrm{~m}$$ high and the receiving antenna is at the ground level. If the radius of

View Question An aluminium rod with Young's modulus $$Y=7.0 \times 10^{10} \mathrm{~N} / \mathrm{m}^{2}$$ undergoes elastic strain of

View Question For the logic circuit shown, the output waveform at $$\mathrm{Y}$$ is:

View Question 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 radi

View Question Proton $$(\mathrm{P})$$ and electron (e) will have same de-Broglie wavelength when the ratio of their momentum is (assum

View Question In this figure the resistance of the coil of galvanometer G is $$2 ~\Omega$$. The emf of the cell is $$4 \mathrm{~V}$$.

View Question The magnetic intensity at the center of a long current carrying solenoid is found to be $$1.6 \times 10^{3} \mathrm{Am}^

View Question An organ pipe $$40 \mathrm{~cm}$$ long is open at both ends. The speed of sound in air is $$360 \mathrm{~ms}^{-1}$$. The

View Question A current of $$2 \mathrm{~A}$$ flows through a wire of cross-sectional area $$25.0 \mathrm{~mm}^{2}$$. The number of fre

View Question A nucleus with mass number 242 and binding energy per nucleon as $$7.6~ \mathrm{MeV}$$ breaks into two fragment each wit

View Question The momentum of a body is increased by $$50 \%$$. The percentage increase in the kinetic energy of the body is _________

View Question An electric dipole of dipole moment is $$6.0 \times 10^{-6} ~\mathrm{C m}$$ placed in a uniform electric field of $$1.5

View Question Two vertical parallel mirrors A and B are separated by $$10 \mathrm{~cm}$$. A point object $$\mathrm{O}$$ is placed at a

View Question An air bubble of diameter $$6 \mathrm{~mm}$$ rises steadily through a solution of density $$1750 \mathrm{~kg} / \mathrm{

View Question An oscillating LC circuit consists of a $$75 ~\mathrm{mH}$$ inductor and a $$1.2 ~\mu \mathrm{F}$$ capacitor. If the max

View Question The moment of inertia of a semicircular ring about an axis, passing through the center and perpendicular to the plane of

View Question