JEE Main 2024 (Online) 4th April Morning Shift

Paper was held on
Thu, Apr 4, 2024 3:30 AM

## Chemistry

Number of complexes from the following with even number of unpaired "$$\mathrm{d}$$" electrons is ________ $$[\mathrm{V}

View Question What will be the decreasing order of basic strength of the following conjugate bases? $${ }^{-} \mathrm{OH}, \mathrm{R}

View Question Given below are two statements :
Statements I : Acidity of $$\alpha$$-hydrogens of aldehydes and ketones is responsible

View Question Match List I with List II :
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Identify B and C and how are A and C related?

View Question Identify the correct set of reagents or reaction conditions '$$X$$' and '$$Y$$' in the following set of transformation.

View Question In the precipitation of the iron group (III) in qualitative analysis, ammonium chloride is added before adding ammonium

View Question The element which shows only one oxidation state other than its elemental form is :

View Question Which of the following is the correct structure of L-Glucose?

View Question Identify the product in the following reaction:

View Question Number of molecules/ions from the following in which the central atom is involved in $$\mathrm{sp}^3$$ hybridization is

View Question The correct sequence of ligands in the order of decreasing field strength is :

View Question The Molarity (M) of an aqueous solution containing $$5.85 \mathrm{~g}$$ of $$\mathrm{NaCl}$$ in $$500 \mathrm{~mL}$$ wat

View Question Which among the following is incorrect statement?

View Question One of the commonly used electrode is calomel electrode. Under which of the following categories, calomel electrode come

View Question The correct order of first ionization enthalpy values of the following elements is :
(A) O
(B) N
(C) Be
(D) F
(E) B
Choo

View Question Which of the following nitrogen containing compound does not give Lassaigne's test ?

View Question Which one of the following molecules has maximum dipole moment?

View Question What pressure (bar) of $$\mathrm{H}_2$$ would be required to make emf of hydrogen electrode zero in pure water at $$25^{

View Question Number of elements from the following that CANNOT form compounds with valencies which match with their respective group

View Question $$2.5 \mathrm{~g}$$ of a non-volatile, non-electrolyte is dissolved in $$100 \mathrm{~g}$$ of water at $$25^{\circ} \mat

View Question Only $$2 \mathrm{~mL}$$ of $$\mathrm{KMnO}_4$$ solution of unknown molarity is required to reach the end point of a titr

View Question Consider the following transformation involving first order elementary reaction in each step at constant temperature as

View Question The enthalpy of formation of ethane $$(\mathrm{C}_2 \mathrm{H}_6)$$ from ethylene by addition of hydrogen where the bond

View Question $$\mathrm{Xg}$$ of ethylamine is subjected to reaction with $$\mathrm{NaNO}_2 / \mathrm{HCl}$$ followed by water; evolve

View Question The number of the correct reaction(s) among the following is _______.

View Question The de-Broglie's wavelength of an electron in the $$4^{\text {th }}$$ orbit is ________ $$\pi \mathrm{a}_0$$. ($$\mathrm

View Question The number of different chain isomers for C$$_7$$H$$_{16}$$ is __________.

View Question Number of molecules/species from the following having one unpaired electron is ________.
$$\mathrm{O}_2, \mathrm{O}_2^{-

View Question Consider the following reaction
$$\mathrm{MnO}_2+\mathrm{KOH}+\mathrm{O}_2 \rightarrow \mathrm{A}+\mathrm{H}_2 \mathrm{O

View Question ## Mathematics

$$\text { Let } f(x)=\left\{\begin{array}{lr}
-2, & -2 \leq x \leq 0 \\
x-2, & 0

View Question One of the points of intersection of the curves $$y=1+3 x-2 x^2$$ and $$y=\frac{1}{x}$$ is $$\left(\frac{1}{2}, 2\right)

View Question Let $$\alpha \in(0, \infty)$$ and $$A=\left[\begin{array}{lll}1 & 2 & \alpha \\ 1 & 0 & 1 \\ 0 & 1 & 2\end{array}\right]

View Question There are 5 points $$P_1, P_2, P_3, P_4, P_5$$ on the side $$A B$$, excluding $$A$$ and $$B$$, of a triangle $$A B C$$.

View Question A square is inscribed in the circle $$x^2+y^2-10 x-6 y+30=0$$. One side of this square is parallel to $$y=x+3$$. If $$\l

View Question Let $$\alpha, \beta \in \mathbf{R}$$. Let the mean and the variance of 6 observations $$-3,4,7,-6, \alpha, \beta$$ be 2

View Question Let $$f(x)=x^5+2 \mathrm{e}^{x / 4}$$ for all $$x \in \mathbf{R}$$. Consider a function $$g(x)$$ such that $$(g \circ f)

View Question Let a unit vector which makes an angle of $$60^{\circ}$$ with $$2 \hat{i}+2 \hat{j}-\hat{k}$$ and an angle of $$45^{\cir

View Question If the domain of the function $$\sin ^{-1}\left(\frac{3 x-22}{2 x-19}\right)+\log _{\mathrm{e}}\left(\frac{3 x^2-8 x+5}{

View Question Let the point, on the line passing through the points $$P(1,-2,3)$$ and $$Q(5,-4,7)$$, farther from the origin and at a

View Question The vertices of a triangle are $$\mathrm{A}(-1,3), \mathrm{B}(-2,2)$$ and $$\mathrm{C}(3,-1)$$. A new triangle is formed

View Question Three urns A, B and C contain 7 red, 5 black; 5 red, 7 black and 6 red, 6 black balls, respectively. One of the urn is s

View Question If the solution $$y=y(x)$$ of the differential equation $$(x^4+2 x^3+3 x^2+2 x+2) \mathrm{d} y-(2 x^2+2 x+3) \mathrm{d}

View Question Let the first three terms 2, p and q, with $$q \neq 2$$, of a G.P. be respectively the $$7^{\text {th }}, 8^{\text {th }

View Question The sum of all rational terms in the expansion of $$\left(2^{\frac{1}{5}}+5^{\frac{1}{3}}\right)^{15}$$ is equal to :

View Question If 2 and 6 are the roots of the equation $$a x^2+b x+1=0$$, then the quadratic equation, whose roots are $$\frac{1}{2 a+

View Question Let the sum of the maximum and the minimum values of the function $$f(x)=\frac{2 x^2-3 x+8}{2 x^2+3 x+8}$$ be $$\frac{m}

View Question If the system of equations
$$\begin{aligned}
& x+(\sqrt{2} \sin \alpha) y+(\sqrt{2} \cos \alpha) z=0 \\
& x+(\cos \alpha

View Question Let $$\alpha$$ and $$\beta$$ be the sum and the product of all the non-zero solutions of the equation $$(\bar{z})^2+|z|=

View Question Let $$f: \mathbf{R} \rightarrow \mathbf{R}$$ be a function given by
$$f(x)= \begin{cases}\frac{1-\cos 2 x}{x^2}, & x 0\e

View Question Let the solution $$y=y(x)$$ of the differential equation $$\frac{\mathrm{d} y}{\mathrm{~d} x}-y=1+4 \sin x$$ satisfy $$y

View Question If the shortest distance between the lines $$\frac{x+2}{2}=\frac{y+3}{3}=\frac{z-5}{4}$$ and $$\frac{x-3}{1}=\frac{y-2}{

View Question Let $$A$$ be a square matrix of order 2 such that $$|A|=2$$ and the sum of its diagonal elements is $$-$$3 . If the poin

View Question If $$\lim _\limits{x \rightarrow 1} \frac{(5 x+1)^{1 / 3}-(x+5)^{1 / 3}}{(2 x+3)^{1 / 2}-(x+4)^{1 / 2}}=\frac{\mathrm{m}

View Question Let $$A$$ be a $$3 \times 3$$ matrix of non-negative real elements such that $$A\left[\begin{array}{l}1 \\ 1 \\ 1\end{ar

View Question If $$\int_0^{\frac{\pi}{4}} \frac{\sin ^2 x}{1+\sin x \cos x} \mathrm{~d} x=\frac{1}{\mathrm{a}} \log _{\mathrm{e}}\left

View Question In a survey of 220 students of a higher secondary school, it was found that at least 125 and at most 130 students studie

View Question Let the length of the focal chord PQ of the parabola $$y^2=12 x$$ be 15 units. If the distance of $$\mathrm{PQ}$$ from t

View Question Let $$\mathrm{ABC}$$ be a triangle of area $$15 \sqrt{2}$$ and the vectors $$\overrightarrow{\mathrm{AB}}=\hat{i}+2 \hat

View Question Let $$a=1+\frac{{ }^2 \mathrm{C}_2}{3 !}+\frac{{ }^3 \mathrm{C}_2}{4 !}+\frac{{ }^4 \mathrm{C}_2}{5 !}+...., \mathrm{b}=

View Question ## Physics

An infinitely long positively charged straight thread has a linear charge density $$\lambda \mathrm{~Cm}^{-1}$$. An elec

View Question An electron is projected with uniform velocity along the axis inside a current carrying long solenoid. Then :

View Question A metal wire of uniform mass density having length $$L$$ and mass $$M$$ is bent to form a semicircular arc and a particl

View Question An effective power of a combination of 5 identical convex lenses which are kept in contact along the principal axis is $

View Question Given below are two statements :
Statement I : When speed of liquid is zero everywhere, pressure difference at any two p

View Question If a rubber ball falls from a height $$h$$ and rebounds upto the height of $$h / 2$$. The percentage loss of total energ

View Question In an ac circuit, the instantaneous current is zero, when the instantaneous voltage is maximum. In this case, the source

View Question Which of the following nuclear fragments corresponding to nuclear fission between neutron $$\left({ }_0^1 \mathrm{n}\rig

View Question A body travels $$102.5 \mathrm{~m}$$ in $$\mathrm{n}^{\text {th }}$$ second and $$115.0 \mathrm{~m}$$ in $$(\mathrm{n}+2

View Question In an experiment to measure focal length ($$f$$) of convex lens, the least counts of the measuring scales for the positi

View Question The co-ordinates of a particle moving in $$x$$-$$y$$ plane are given by : $$x=2+4 \mathrm{t}, y=3 \mathrm{t}+8 \mathrm{t

View Question The equation of stationary wave is :
$$y=2 \mathrm{a} \sin \left(\frac{2 \pi \mathrm{nt}}{\lambda}\right) \cos \left(\fr

View Question Which figure shows the correct variation of applied potential difference (V) with photoelectric current (I) at two diffe

View Question P-T diagram of an ideal gas having three different densities $$\rho_1, \rho_2, \rho_3$$ (in three different cases) is sh

View Question The electric field in an electromagnetic wave is given by $$\overrightarrow{\mathrm{E}}=\hat{i} 40 \cos \omega(\mathrm{t

View Question The resistances of the platinum wire of a platinum resistance thermometer at the ice point and steam point are $$8 \Omeg

View Question The value of net resistance of the network as shown in the given figure is :

View Question A wooden block, initially at rest on the ground, is pushed by a force which increases linearly with time $$t$$. Which of

View Question To measure the internal resistance of a battery, potentiometer is used. For $$R=10 \Omega$$, the balance point is observ

View Question On celcius scale the temperature of body increases by $$40^{\circ} \mathrm{C}$$. The increase in temperature on Fahrenhe

View Question A solid sphere and a hollow cylinder roll up without slipping on same inclined plane with same initial speed $$v$$. The

View Question An infinite plane sheet of charge having uniform surface charge density $$+\sigma_{\mathrm{s}} \mathrm{C} / \mathrm{m}^2

View Question A hydrogen atom changes its state from $$n=3$$ to $$n=2$$. Due to recoil, the percentage change in the wave length of em

View Question A soap bubble is blown to a diameter of $$7 \mathrm{~cm}$$. $$36960 \mathrm{~erg}$$ of work is done in blowing it furthe

View Question An elastic spring under tension of $$3 \mathrm{~N}$$ has a length $$a$$. Its length is $$b$$ under tension $$2 \mathrm{~

View Question The magnetic field existing in a region is given by $$\vec{B}=0.2(1+2 x) \hat{k}$$. A square loop of edge $$50 \mathrm{~

View Question Two forces $$\overline{\mathrm{F}}_1$$ and $$\overline{\mathrm{F}}_2$$ are acting on a body. One force has magnitude thr

View Question A alternating current at any instant is given by $$i=[6+\sqrt{56} \sin (100 \pi t+\pi / 3)]$$ A. The $$r m s$$ value of

View Question Twelve wires each having resistance $$2 \Omega$$ are joined to form a cube. A battery of $$6 \mathrm{~V}$$ emf is joined

View Question Two wavelengths $$\lambda_1$$ and $$\lambda_2$$ are used in Young's double slit experiment. $$\lambda_1=450 \mathrm{~nm}

View Question