VITEEE 2025

Which of the following ethers cannot be prepared efficiently by Williamson synthesis?

Which of the following compounds on reaction with $\mathrm{CH}_3 \mathrm{MgBr}$ followed by acid hydrolysis gives a tertiary alcohol?

Which of the following does not give a white precipitate with sodium bisulphide?

Identify the product $Q$ in the following reaction sequence,

Arrange the energy of $2 s$ orbitals in increasing order for the atoms $\mathrm{C}, \mathrm{B}, \mathrm{N}$ and O .

The number of radial nodes in $4 s$ and $3 p$ orbitals respectively is

Which of the following is a water-soluble vitamin?

Which of the following pairs form the same osazone?

Among the following, the species having same bond order are

Which of the following molecules has the maximum dipole moment?

The activation energy for a reaction is $9.0 \mathrm{kcal} / \mathrm{mol}$. The increase in the rate constant when the temperature is increased from 298 K to 308 K is

In a first-order reaction, the initial concentration of $A$ is $0.5 \mathrm{~mol} \mathrm{~L}^{-1}$. After 20 minutes, the concentration reduces to $0.4 \mathrm{~mol} \mathrm{~L}^{-1}$. The rate constant is (in $\mathrm{min}^{-1}$ ).

In the diazotisation of aniline with sodium nitrite and hydrochloric acid the excess of hydrochloric acid is used primarily to

The product $(X)$ formed in the given reaction.

Which of the following complexes can show both facial ( $f a c$ ) and meridional (mer) isomerism?

Which of the following complex ions is expected to appear colourless in aqueous solution?

When $\mathrm{H}_2 \mathrm{O}_2$ is added to a solution of acidified sodium dichromate, a deep blue colour is observed due to the formation of a peroxo complex. This change signifies that

6.35 g of copper (Atomic mass $=635 \mathrm{u}$ ) is deposited at the cathode from a $\mathrm{Cu}^{2+}$ solution using a certain quantity of electric charge.
The volume of oxygen gas liberated at STP from water electrolysis using the same q...

How long should water be electrolysed using 50 A current to release enough $\mathrm{H}_2$ gas to completely reduce 8.0 g of CuO ?
$\left(\mathrm{CuO}+\mathrm{H}_2 \longrightarrow \mathrm{Cu}+\mathrm{H}_2 \mathrm{O}\right.$; Atomic mass of $...

Among the following, the strongest nucleophile in aqueous medium is

Identify the final product $C$ in the following sequence.
$$ \begin{aligned} \mathrm{CH}_3 \mathrm{CH}_2 \mathrm{Br}+(\text { alc. } \mathrm{KOH}) & \xrightarrow{h \nu} A+\mathrm{Br}_2 \longrightarrow B+(\text { alc. } \mathrm{KCN}) \long...

A 0.05 M solution of aniline hydrochloride has a pH of 3.85 . Calculate the ionisation constant ( $K_b$ ) of aniline.

The freezing points of 0.01 M solutions of glucose, $\mathrm{NaNO}_3$, and $\mathrm{AlCl}_3$ would be

The osmotic pressure of a solution prepared by dissolving 48 mg of $\mathrm{MgCl}_2$ in 500 mL water at $25^{\circ} \mathrm{C}$ is (Assuming complete dissociation).
(Molar mass of $\mathrm{MgCl}_2=95 \mathrm{~g} / \mathrm{mol}, R=0.0821 \ma...

A 2 M aqueous solution of HCl has density $1.08 \mathrm{~g} / \mathrm{mL}$. What is the molality of the solution?

Which of the following oxides of nitrogen has a lone pair and is paramagnetic?

\(\text { Match List-I with List-II. }\)


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Arrange the following in the correct increasing order of atomic size.
$\mathrm{F}, \mathrm{Cl}, \mathrm{Br}, \mathrm{I}$

\(\text { Match List-I with List-II. }\)


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An unknown ester is hydrolysed to give ethanol as one of the products. Which chemical test can be used to confirm the identity of this alcohol?

In the following redox reaction, what will be the sum of $x, y$, and $z$ ?
$$ \begin{aligned} x \mathrm{Cr}_2 \mathrm{O}_7^{2-}(a q) & +y \mathrm{SO}_3^{2-}(a q)+z \mathrm{H}^{+}(a q) \longrightarrow \mathrm{Cr}^{3+}(a q)+\mathrm{SO}_4^{2-...

How many moles of $\mathrm{KMnO}_4$ are required to oxidise 1 mole of oxalic acid in acidic medium?

Ozone is quantitatively determined by bubbling it through an excess of acidic potassium iodide solution, which liberates iodine. The liberated iodine is then titrated with sodium thiosulphate solution.
If 25.0 mL of the iodine-containing so...

Under isothermal condition, a gas at 300 K expands from 0.1 L to 0.25 L against a constant external pressure of 2 bar. The work done by the gas is (Given that, 1 L bar $=100 \mathrm{~J}$ )

Given, $\Delta G^{\circ}=-502 \mathrm{~kJ} \mathrm{~mol}^{-1}$ for the dissociation of ,
$\mathrm{Mg}(\mathrm{OH})_2(s) \rightleftharpoons \mathrm{Mg}^{2+}(a q)+2 \mathrm{OH}^{-}(a q)$ at 298 K . Find the $K_{\mathrm{sp}}$ value.
$(R=8314 \...

Let $f(x)$ be a polynomial of degree 6 divisible by $x^3$ and having a point of extremum at $x=2$. If $f^{\prime}(x)$ is divisible by $1+x^2$, then find the value of $\frac{3 f(2)}{f(1)}$

The function, $f(x)=(3 x-7) x^{2 / 3}, x \in R$ is increasing for all $x$ lying in

The minimum value of $(u-v)^2+\left(\sqrt{2-u^2}-\frac{9}{v}\right)^2$, where $0 < u < \sqrt{2}$ and $v > 0$

The area of the region $\left\{(x, y): x y<8,1 \leq y \leq x^2\right\}$ is

If $x$ is so small that $x^3$ and higher powers of $x$ may be neglected, then $\frac{(1+x)^{3 / 2}-\left(1+\frac{1}{2} x\right)^3}{(1-x)^{1 / 2}}$ may be approximate as

If $a$ and $b$ are two complex numbers, then the sum of $(n+1)$ terms of the series $a c_0-(a+d) c_1+(a+2 d) c_2-(a+3 d) c_3+$ $\_\_\_\_$ is

The value of
\(99^{50}-90 \cdot 98^{50}+\frac{99 \cdot 98}{1 \cdot 2}(97)^{50}-\ldots \ldots \ldots \ldots .+99\)
is

In the given figure, the equation of the large circle is $x^2+y^2+4 y-5=0$ and the distance between centre is 4 . Then, the equation of smaller circle is

Let $c_1: x^2+y^2=1$ and $c_2:(x-10)^2+y^2=9$ be two circles a line touching $c_1$ at $P$ and $c_2$ at $Q$. If $M$ is the mid-point of $P Q$, then $M$ lies on a circle $(x-5)^2+y^2=r^2$ where ' $r$ ' is $(r>0)$

If $a$ is the root of equation $z^n+2 z^{n-1}+3 z^{n-2}+12-18 z=0$ which lies inside $|z|=1$, then

If $\alpha$ is a root of $x^4=1$ with negative principal argument, then the principle argument of $\Delta(A)$, where $\Delta(A)=\left|\begin{array}{ccc}1 & 1 & 1 \\ \alpha^n & \alpha^{n+1} & \alpha^{n+3} \\ \frac{1}{\alpha^{n+1}} & \frac{1}...

Let $f$ be a non-negative function defined on the interval $[0,1]$. If $\int_0^x \sqrt{1-(f(t))^2} d t =\int_0^x f(t) d t, 0 \leq x \leq 1$ and $f(0)=0$, then

The differential equation for all family of line which are at a unit distance from the origin is

Let $f(x)=\cos ^{-1}\left(2 x \sqrt{1-x^2}\right)$, then $f^{\prime}(0.6)$ equals to

Let $f: R \rightarrow R, f(x)=x^3-3 x^2+3 x-2$, then $f^{-1}(x)$ is given by