VITEEE 2022

Choose the correct structure of picric acid.

Dehydration of methyl alcohol with conc. \(\mathrm{H}_2 \mathrm{SO}_4\) yields

Arrange the following compounds in decreasing order of their boiling points.
\(\mathrm{CH}_3 \mathrm{CHO}, \mathrm{CH}_3 \mathrm{CH}_2 \mathrm{OH}, \mathrm{CH}_3 \mathrm{OCH}_3, \mathrm{CH}_3 \mathrm{CH}_2 \mathrm{CH}_3\)

An electron in H-atom in its ground state absorbs 1.50 times as much as energy as the minimum required for its escape \((13.6 \mathrm{~eV})\) from the atom. Thus, KE given to emitted electron is

In which of the following photoelectric effect is observed?

Which of the following is the structure of glutaric acid?

In a set of reactions \(m\)-bromobenzoic acid gave a product \(D\). Identify the product \(D\).

Which of the following option is correct regarding \(\mathrm{OF}\) and \(\mathrm{F}_2\) ?

Among the given species the isostructural pairs is

Match the species given in column I with the shape given in column II and assign the correct code.

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Match the following and choose the correct code.

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The following compound is used as

Which of the following will not give a primary amine?

Which type of isomerism is exhibited by \(\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_4 \mathrm{Cl}_2\right]^{+}\)?

Which of the following lanthanides are used in TV screens?

Consider the following statements.
A. Ocean is sink for \(\mathrm{CO}_2\).
B. Green house effect causes lowering of temperature of earth's surface.
C. To control \(\mathrm{CO}\) emission by automobiles, usually catalytic convertor are fitte...

The correct stability order of the following free radicals is

In the given reaction,

The product P is

The catalyst 'X' can be

What is the degree of dissociation of \(0.05 \mathrm{~M~NH}_3\) if its \(\mathrm{pK}{ }_a\) is 4.75 and \(\mathrm{pH}\) is 11 ?

Optical rotations of some compounds alongwith their structures are given below.

Point out the structures which have D-configuration.

\(\mathrm{C}_6 \mathrm{H}_{12}(A)\) has chirality but on hydrogenation '\(A\)' is converted into \(\mathrm{C}_6 \mathrm{H}_{14}(B)\) in which chirality disappears. Hence '\(A\)' is

Which of the following isotopes is used to treat cancer?

The half-life period of a radioactive element '\(X\)' is same as the mean life time of another radioactive element '\(Y\)'. Initially, both of them have the same number of atoms, then

Consider the following boron halides.
1. \(\mathrm{BF}_3\)
2. \(\mathrm{BCl}_3\)
3. \(\mathrm{BBr}_3\)
4. \(\mathrm{BI}_3\)
The Lewis acid characters of these halides are in the order of

Which of the following is false regarding shielding effect?

Which is largest in size in aqueous solution?

Arrange the following in order of their electronegativity.

A colourless solid \((X)\) on heating evolved \(\mathrm{CO}_2\) and also gave a white residue, soluble in water. Residue also gave \(\mathrm{CO}_2\) when treated with dilute acid. \((X)\) is

Which of the following defect lowers the density of a solid?

If \(\mathrm{AgI}\) crystallises in zinc blende structure with \(\mathrm{I}^{-}\) ions at lattice points then the fraction of tetrahedral voids occupied by \(\mathrm{Ag}^{+}\) ions is

What will be the molarity of solution when \(30 \mathrm{~mL}\) of \(0.5 \mathrm{~M} \mathrm{~H}_2 \mathrm{SO}_4\) is diluted to \(500 \mathrm{~mL}\) ?

\(0.20 \mathrm{~g}\) of an organic compound gave \(0.12 \mathrm{~g}\) of \(\mathrm{AgBr}\). By using Carius method, the percentage of bromine in the compound will be

1 mole of \(\mathrm{CO}_2\) gas at \(300 \mathrm{~K}\) is expanded under adiabatic conditions such that its volume becomes 27 times. What is work done?

The maximum slope of the curve \(y=\frac{1}{2} x^4-5 x^3+18 x^2-19 x\) occurs at the point

\(f\) and \(g\) are differentiable function in \((0,1)\) satisfying \(f(0)=2=g(\mathrm{l}), g(0)=0\) and \(f(l)=6\), then for some \(c \in] 0,1[\)

Find the area enclosed by \(y=x^2\) and \(y=x+2\)

The area between \(y=x^2\) and \(y=8-x^2\)

If the 2nd, 3rd and 4th terms in the expansion of \((a+b)^n\) be \(240,720\) and 1080 respectively, then the value of \((n, b, a)\) is

If a circle of constant radius '\(r\)' passes through the origin and meets the coordinate axes at points \(A\) and \(B\) respectively, then the locus of the centroid of triangle \(O A B\), '\(O\)' being the origin, is

If the tangent at point \(P\) on the circle \(x^2+y^2+6 x+6 y-2=0\) meets the straight line \(5 x-2 y+6=0\) at a point \(Q\) on \(Y\)-axis, the length of \(P Q\) is

The image of the centre of the circle \(x^2+y^2=a^2\) with respect to the mirror \(x+y=1\) is

The condition in order that \(Z_1, Z_2, Z_3\) are vertices of an isosceles triangle right angled at \(z_2\), is

If \(X \phi(x)=\int_\limits5^x 3 t^2-2 \phi(t) d t, x>-2\) and \(\phi(0)=4\), then \(\phi(2)\) is

The solution of \(\frac{d y}{d x}=1+x+y+x y\) is

If \(p\) and \(q\) are order and degree of the question \(\left(\frac{d^2 y}{d x^2}\right)^4+4 \frac{\left(\frac{d^2 y}{d x^2}\right)^2}{\left(\frac{d^3 y}{d x^3}\right)^3}+\frac{d^3 y}{d x^3}=x^2-1\), then

The solution of the equation \(\frac{d y}{d x}+x(x+y)=x^3(x+y)^3-1\) is

Find the solution of \(\frac{d y}{d x}=\frac{1}{\cos (x-y)}\)

Find the solution of equation \(\frac{d y}{d x}=\frac{1}{\cos (x+y)}\)