List of top Questions asked in VITEEE

If $a^x = b^{y} = c^{z} = d^{u}$ and $a, b,\, c,\, d$ are in $GP$, then $x,\, y,\, z,\, u$ are in

The number of solutions of the equation $\sin \; (e^{x}) = 5^x + 5^{-x}$, is

The principal value of $\sin^{-1} \left\{\sin \frac{5\pi}{6}\right\} $ is

The value of $\frac{\cos\theta}{1+ \sin\theta}$ is equal to

If $f(x) = \sqrt{\log_{10} x^2} $ . The set of all values of $x$ for which $f(x)$ is real , is

$\displaystyle\lim_{n\to\infty} \left[\frac{1}{1.2} + \frac{1}{2.3} + \frac{1}{3.4} + .... + \frac{1}{n\left(n+1\right)}\right] $ is equal to

Range of the function $y =\sin^{-1} \left(\frac{x^{2}}{1+x^{2}}\right) $ is

For what values of m can the expression $2x^2 + mxy + 3y^2 - 5y - 2$ be expressed as the product of two linear factors

The attenuation in optical fibre is mainly due to

If $B$ is a non-singular matrix and $A$ is a square matrix, then det $(B^{-1} AB)$ is equal to

If $\int\limits^x_1 \frac{dt}{|t\, \sqrt{t^2 - 1}} = \frac{\pi}{6}$ , then $x$ can be equal to

$pH$ of a buffer solution decreases by $0.02$ units when $0.12\,g$ of acetic acid is added to $250\, mL$ of a buffer solution of acetic acid and potassium acetate at $27^{\circ} C$. The buffer capacity of the solution is

Consider the following reaction:
\[ C_2H_5Cl + AgCN \xrightarrow[\text{EtOH/H}_2O]{} X \;(\text{major}) \]
Which one of the following statements is true for \(X\)?
(I) It gives propionic acid on hydrolysis
(II) It has an ester functional group
(III) It has nitrogen linked to ethyl carbon
(IV) It has a cyanide group

Aluminium reacts with NaOH and forms compound \(X\). If the coordination number of aluminium in \(X\) is \(6\), the correct formula of \(X\) is

How many mL of perhydrol is required to produce sufficient oxygen which can be used to completely convert \(2L\) of \(SO_2\) gas to \(SO_3\) gas?

During the depression in freezing point experiment, an equilibrium is established between the molecules of

The concentration of an organic compound in chloroform is \(6.15\,g\) per \(100\,mL\) of solution. A portion of this solution in a 5 cm polarimeter tube causes an observed rotation of \(-1.2^\circ\). What is the specific rotation of the compound?

Which one of the following is the most effective in the coagulation of an \(As_2S_3\) sol?

For a first order reaction at \(27^\circ C\), ratio of time required for \(75%\) completion to \(25%\) completion of reaction is

The equilibrium constant for the given reaction is \(100\).
\[ N_2(g) + 2O_2(g) \rightleftharpoons 2NO_2(g) \]
What is the equilibrium constant for the reaction given below?
\[ NO_2(g) \rightleftharpoons \frac{1}{2}N_2(g) + O_2(g) \]

\(20\,mL\) of \(0.1\,M\) acetic acid is mixed with \(50\,mL\) of potassium acetate. \(K_a\) of acetic acid \(= 1.8\times 10^{-5}\). At \(27^\circ C\), calculate the concentration of potassium acetate if pH of the mixture is \(4.8\).

The cubic unit cell of a metal (molar mass = \(63.55\,g\,mol^{-1}\)) has an edge length of \(362\,pm\). Its density is \(8.92\,g\,cm^{-3}\). The type of unit cell is

For the following cell reaction:
\[ Ag|Ag^+||AgCl|Cl^-|Cl_2,Pt \]
\[ \Delta G_f^\circ(AgCl) = -109\,kJ/mol \]
\[ \Delta G_f^\circ(Cl^-) = -129\,kJ/mol \]
\[ \Delta G_f^\circ(Ag^+) = 78\,kJ/mol \]
\(E^\circ\) of the cell is

At \(25^\circ C\), the molar conductances at infinite dilution for the strong electrolytes NaOH, NaCl and BaCl\(_2\) are \(248\times 10^{-4}\), \(126\times 10^{-4}\) and \(280\times 10^{-4}\,S\,m^2\,mol^{-1}\) respectively. \(\lambda_m^\circ\) of \(Ba(OH)_2\) in \(S\,m^2\,mol^{-1}\) is

The synthesis of crotonaldehyde from acetaldehyde is an example of ...... reaction.