VITEEE 2023

The reaction,
is called

In a set of reactions acetophenone gave a product \(B\). Identify the product \(B\).
$$\mathrm{C}_6 \mathrm{H}_5 \mathrm{COCH}_3 \xrightarrow{\mathrm{C}_6 \mathrm{H}_5 \mathrm{MgBr}} A \xrightarrow{\mathrm{H}^{+} / \mathrm{H}_2 \mathrm{O}} ...

The uncertainty in the momentum of an electron is \(2.0 \times 10^{-8} \mathrm{~kg} \mathrm{~ms}^{-1}\). The uncertainty in its position will be

The number of peptide bonds in a linear tetrapeptide (made of different amino acids) are

Glucose contains \(-\mathrm{CHO}\) group and
Which of the following solution or reagent can be used to distinguish these two compounds?

The acidic strength of following compounds are in the order

\(\mathrm{H}\)-bonding is maximum in

ortho-silicate ion is

The structure of \(\mathrm{XeOF}_4\) is

\(\mathrm{PH}_3\) has much lower boiling point than \(\mathrm{NH}_3\) because :

In the reaction, \(\mathrm{H}_2+\mathrm{I}_2 \rightleftharpoons 2 \mathrm{HI}\).
In a 4L flask, 0.8 mole of each \(\mathrm{H}_2\) and \(\mathrm{I}_2\) are taken. All equilibrium, 1 mole of \(\mathrm{HI}\) is formed. What will be the value o...

Arrhenius equation may not be represented as

Which is correct about zero order reaction?

Which of the following products is formed in the given reaction?

In a set of reactions nitrobenzene gave a product \(C\). Identify the product \(C\).
$$\mathrm{C}_6 \mathrm{H}_5 \mathrm{NO}_2 \xrightarrow{\mathrm{Fe} / \mathrm{HCl}} A \xrightarrow[273 \mathrm{~K}]{\mathrm{NaNO}_2 / \mathrm{HCl}} B \xrigh...

The total number of metal-metal bond present in \(\left[\mathrm{Co}_2(\mathrm{CO})_8\right]\) is

Atomic number of \(\mathrm{Mn}, \mathrm{Fe}\) and \(\mathrm{Co}\) are 25, 26 and 27 respectively. Which of the following inner orbital octahedral complex ions are diamagnetic?
I. \(\left[\mathrm{CO}\left(\mathrm{NH}_3\right)_6\right]^{3+}\)...

In context of the lanthanoides, which of the following statements is not correct?

The ionic conductance of following cation in a given concentration are in the order.

Consider the following cell reaction.
$$\begin{aligned} & 2 \mathrm{Fe}(s)+\mathrm{O}_2(g)+4 \mathrm{H}^{+}(a q) \longrightarrow \\ & 2 \mathrm{Fe}^{2+}(a q)+2 \mathrm{H}_2 \mathrm{O}(l), E^{\circ}=1.67 \mathrm{~V} \\ \end{aligned}$$
At $$[...

Choose the wrong statements.
I. \(\mathrm{CO}_2\) is responsible for greenhouse effect.
II. Acid rain contains mainly \(\mathrm{HNO}_3\).
III. NO is more harmful than \(\mathrm{NO}_2\).
IV. \(\mathrm{CO}_2\) can absorb infrared.
Mark the co...

Which one of the following compounds is formed in the laboratory from benzene by a substitution reaction?

Addition of water to butyne occurs in acidic medium and in the presence of \(\mathrm{Hg}^{2+}\) ions as a catalyst. The compound obtained

Match the Column I with Column II.

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Which of the following compounds is used as the starting material for the preparation of potassium dichromate?

The stability of dihalides of \(\mathrm{Si}, \mathrm{Ge}, \mathrm{Sn}\) and decreases gradually in the sequence.

In the given reaction,

The product P is

\(\mathrm{MnO}_4^{-}\) is good oxidising agent in different medium changing to \(\mathrm{MnO}_4^{-} \rightarrow \mathrm{Mn}^{2+} \rightarrow \mathrm{MnO}_4^{2-} \rightarrow \mathrm{MnO}_2 \rightarrow \mathrm{Mn}_2 \mathrm{O}_3\)
Change in o...

The standard \(E_{\text {red }}^{\circ}\) values of \(A, B\) and \(C\) are \(+0.52 \mathrm{~V},-23.6 \mathrm{~V},-0.44 \mathrm{~V}\) respectively. The order of their reducing power is

A metal has bcc structure and the edge length of its unit cell is \(8 \mathop A\limits^o\). The volume of the unit cell ( in \(\mathrm{cm}^3\)) will be

Match the following Column I and Column II

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Which of the following is an intensive property?

Which one of the following concentration terms is/are independent of temperature?

Plot of \(\log x / m\) against \(\log p\) is a straight line inclined at an angle of \(45^{\circ}\). When the pressure is \(2 \mathrm{~atm}\) and Freundlich parameter, \(k\) is 10, the amount of solute adsorbed per gram of adsorbent.

The value of \(\Delta E\) for combustion of \(32 \mathrm{~g}\) of \(\mathrm{CH}_4\) is \(-1770778 \mathrm{~J}\) at \(298 \mathrm{~K}\). The \(\Delta H\) combustion for \(\mathrm{CH}_4\) in \(\mathrm{J} \mathrm{~mol}^{-1}\) at this temperatu...

The maximum slope of the curve \(y=\frac{1}{2} x^4-5 x^3+18 x^2-19 x+7\) occurs at the point

The area enclosed by \(y=x^3+1\) and \(y=x+2\) in first quadrant, is

The area of the region containing the points \((x, y)\) satisfying \(4 \leq x^2+y^2 \leq 2|x|+|y|\), is

Last three digits in \((9)^{50}\) be

If \(x^n=a_0+a_1(1+x)+a_2(1+x)^2+\ldots \ldots \ldots+ a_n(1+x)^n=b_0+b_1(1-x)+b_2(1-x)^2+\ldots . .+ b_n(1-x)^n\), then for \(n=201,\left(a_{101}, b_{101}\right)\) is equal to

The line \(a x+b y+c=0\) will be a tangent to the circle \(x^2+y^2=r^2\), then

If \(z_1, z_2\) and \(z_3\) are the vertices \(A, B\) and \(C\) respectively of an isosceles right angled triangle with right angled at \(C\), then \(\left(z_1-z_3^{\prime}\right)\left(z_2-z_3\right)\) equals to

If \(\alpha\) is a non -real fifth root of unity, then the value of \(3^{\left|1+\alpha+\alpha^2+\alpha^{-2}-\alpha^{-1 \mid}\right|}\), is

If \(\alpha, \beta\) and \(\gamma\) are the cube roots of \(P,(P<0)\), then for any \(x, y\) and \(z\) which does not make denominator zero, the expression \(\frac{x \alpha+y \beta+z \gamma}{x \beta+y \gamma+z \alpha}\) equals to

If \(x+\frac{1}{x}=1\) and \(p=x^{4000}+\frac{1}{x^{4000}}\) and \(q\) is the digit at unit place in the number \(2^{2 n}+1\), then the value of \((p+q)\) is equal to

Let \(z_k=\cos \left(\frac{2 k \pi}{10}\right)+i \sin \left(\frac{2 k \pi}{10}\right) ; k=1,2, \ldots \ldots \ldots\) 9, then \(\frac{1}{10}\left\{\left|1-z_1\right|\left|1-z_2\right| \ldots .\left|1-z_a\right|\right\}\) equals to

The value of \(\int_\lambda^{\lambda+\pi / 2}\left(\cos ^4 x+\sin ^4 x\right) d x\) is

\(\lim _\limits{n \rightarrow \infty}\left(\frac{(n+1)(n+2) \ldots 3 n}{n^{2 n}}\right)^{1 / n}\) is equal to

If \(m\) and \(n\) are order and degree of the question \(\left(\frac{d^2 y}{d x^2}\right)^4+8 \frac{\left(d^2 y / d x^2\right)^3}{\left(d^4 y / d x^4\right)^5}+\left(\frac{d^4 y}{d x^4}\right)=x^2+4\), then \(m-n\) is equal to

The solution of \(d y / d x=1+x+y+x y\) is