JEE Main 2023 (Online) 10th April Morning Shift

Suitable reaction condition for preparation of Methyl phenyl ether is

The major product 'P' formed in the given reaction is

Using column chromatography, mixture of two compounds 'A' and 'B' was separated. 'A' eluted first, this indicates 'B' has

The one that does not stabilize 2\(^\circ\) and 3\(^\circ\) structures of proteins is

The compound which does not exist is

The number of bent-shaped molecule/s from the following is __________
N\(_3^-\), NO\(_2^-\), I\(_3^-\), O\(_3\), SO\(_2\)

The sum of lone pairs present on the central atom of the interhalogen IF\(_5\) and IF\(_7\) is _________

The number of correct statement/s involving equilibria in physical processes from the following is ________
(A) Equilibrium is possible only in a closed system at a given temperature.
(B) Both the opposing processes occur at the same rate.
...

A molecule undergoes two independent first order reactions whose respective half lives are 12 min and 3 min. If both the reactions are occurring then the time taken for the 50% consumption of the reactant is ___________ min. (Nearest intege...

Isomeric amines with molecular formula C\(_8\)H\(_{11}\)N give the following tests
Isomer (P) \(\Rightarrow\) Can be prepared by Gabriel phthalimide synthesis
Isomer (Q) \(\Rightarrow\) Reacts with Hinsberg's reagent to give solid insoluble...

The octahedral diamagnetic low spin complex among the following is :

In potassium ferrocyanide, there are ________ pairs of electrons in the \(t_{2g}\) set of orbitals.

Prolonged heating is avoided during the preparation of ferrous ammonium sulphate to :

Which of the following statements are correct?
(A) The M\(^{3+}\)/M\(^{2+}\) reduction potential for iron is greater than manganese.
(B) The higher oxidation states of first row d-block elements get stabilized by oxide ion.
(C) Aqueous solu...

\(\mathrm{FeO_4^{2 - }\buildrel { + 2.2V} \over \longrightarrow F{e^{3 + }}\buildrel { + 0.70V} \over \longrightarrow F{e^{2 + }}\buildrel { - 0.45V} \over \longrightarrow F{e^0}}\)
\(E_{FeO_4^{2 - }/F{e^{2 + }}}^\theta\) is $$x \times ...

Match List I with List II

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At constant temperature, a gas is at a pressure of 940.3 mm Hg. The pressure at which its volume decreases by 40% is __________ mm Hg. (Nearest integer)

Identify the correct order of reactivity for the following pairs towards the respective mechanism

Choose the correct answer from the options given below:

The pair from the following pairs having both compounds with net non-zero dipole moment is

Given below are two reactions, involved in the commercial production of dihydrogen (H\(_2\)). The two reactions are carried out at temperature "T\(_1\)" and "T\(_2\)", respectively
$$C(s) + {H_2}O(g)\buildrel {{T_1}} \over
\longrightarrow ...

Which of the following is used as a stabilizer during the concentration of sulphide ores?

In the following reactions, the total number of oxygen atoms in X and Y is ___________.
Na\(_2\)O + H\(_2\)O \(\to\) 2X
Cl\(_2\)O\(_7\) + H\(_2\)O \(\to\) 2Y

Match List I with List II

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...

Given below are two statements:
Statement I : Aqueous solution of K\(_2\)Cr\(_2\)O\(_7\) is preferred as a primary standard in volumetric analysis over Na\(_2\)Cr\(_2\)O\(_7\) aqueous solution.
Statement II : K\(_2\)Cr\(_2\)O\(_7\) has a hi...

Lime reacts exothermally with water to give 'A' which has low solubility in water. Aqueous solution of 'A' is often used for the test of CO\(_2\), a test in which insoluble B is formed. If B is further reacted with CO\(_2\) then soluble com...

If the degree of dissociation of aqueous solution of weak monobasic acid is determined to be 0.3, then the observed freezing point will be ___________% higher than the expected/theoretical freezing point. (Nearest integer)

The number of molecules and moles in 2.8375 litres of O\(_2\) at STP are respectively

The number of incorrect statement/s about the black body from the following is __________
(A) Emit or absorb energy in the form of electromagnetic radiation.
(B) Frequency distribution of the emitted radiation depends on temperature.
(C) At...

The enthalpy change for the adsorption process and micelle formation respectively are

Given

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The shortest distance between the lines \({{x + 2} \over 1} = {y \over { - 2}} = {{z - 5} \over 2}\) and \({{x - 4} \over 1} = {{y - 1} \over 2} = {{z + 3} \over 0}\) is :

Let two vertices of a triangle ABC be (2, 4, 6) and (0, \(-\)2, \(-\)5), and its centroid be (2, 1, \(-\)1). If the image of the third vertex in the plane \(x+2y+4z=11\) is \((\alpha,\beta,\gamma)\), then $$\alpha\beta+\beta\gamma+\gamma\al...

Let P be the point of intersection of the line \({{x + 3} \over 3} = {{y + 2} \over 1} = {{1 - z} \over 2}\) and the plane \(x+y+z=2\). If the distance of the point P from the plane \(3x - 4y + 12z = 32\) is q, then q and 2q are the roots o...

The slope of tangent at any point (x, y) on a curve \(y=y(x)\) is \({{{x^2} + {y^2}} \over {2xy}},x > 0\). If \(y(2) = 0\), then a value of \(y(8)\) is :

A square piece of tin of side 30 cm is to be made into a box without top by cutting a square from each corner and folding up the flaps to form a box. If the volume of the box is maximum, then its surface area (in cm\(^2\)) is equal to :

Let \(y = p(x)\) be the parabola passing through the points \(( - 1,0),(0,1)\) and \((1,0)\). If the area of the region \(\{ (x,y):{(x + 1)^2} + {(y - 1)^2} \le 1,y \le p(x)\}\) is A, then \(12(\pi - 4A)\) is equal to ___________.

If the coefficient of \({x^7}\) in \({\left( {ax - {1 \over {b{x^2}}}} \right)^{13}}\) and the coefficient of \({x^{ - 5}}\) in \({\left( {ax + {1 \over {b{x^2}}}} \right)^{13}}\) are equal, then \({a^4}{b^4}\) is equal to :

The coefficient of \(x^7\) in \({(1 - x + 2{x^3})^{10}}\) is ___________.

A line segment AB of length \(\lambda\) moves such that the points A and B remain on the periphery of a circle of radius \(\lambda\). Then the locus of the point, that divides the line segment AB in the ratio 2 : 3, is a circle of radius :

Let the complex number \(z = x + iy\) be such that \({{2z - 3i} \over {2z + i}}\) is purely imaginary. If \({x} + {y^2} = 0\), then \({y^4} + {y^2} - y\) is equal to :

Let \(f\) be a differentiable function such that \({x^2}f(x) - x = 4\int\limits_0^x {tf(t)dt}\), \(f(1) = {2 \over 3}\). Then \(18f(3)\) is equal to :

Let the ellipse \(E:{x^2} + 9{y^2} = 9\) intersect the positive x and y-axes at the points A and B respectively. Let the major axis of E be a diameter of the circle C. Let the line passing through A and B meet the circle C at the point P. I...

If \(f(x) = {{(\tan 1^\circ )x + {{\log }_e}(123)} \over {x{{\log }_e}(1234) - (\tan 1^\circ )}},x > 0\), then the least value of \(f(f(x)) + f\left( {f\left( {{4 \over x}} \right)} \right)\) is :

If \(I(x) = \int {{e^{{{\sin }^2}x}}(\cos x\sin 2x - \sin x)dx}\) and \(I(0) = 1\), then \(I\left( {{\pi \over 3}} \right)\) is equal to :

Let \(f:( - 2,2) \to R\) be defined by \(f(x) = \left\{ {\matrix{ {x[x],} & { - 2 < x < 0} \cr {(x - 1)[x],} & {0 \le x \le 2} \cr } } \right.\) where \([x]\) denotes the greatest integer function. If m and n respectively are th...

Let a, b, c be three distinct positive real numbers such that \({(2a)^{{{\log }_e}a}} = {(bc)^{{{\log }_e}b}}\) and \({b^{{{\log }_e}2}} = {a^{{{\log }_e}c}}\).Then, 6a + 5bc is equal to ___________.

The negation of the statement \((p \vee q) \wedge (q \vee ( \sim r))\) is :

If A is a 3 \(\times\) 3 matrix and \(|A| = 2\), then \(|3\,adj\,(|3A|{A^2})|\) is equal to :

For the system of linear equations
\(2x - y + 3z = 5\)
\(3x + 2y - z = 7\)
\(4x + 5y + \alpha z = \beta\),
which of the following is NOT correct?

Let a common tangent to the curves \({y^2} = 4x\) and \({(x - 4)^2} + {y^2} = 16\) touch the curves at the points P and Q. Then \({(PQ)^2}\) is equal to __________.