List of top Questions asked in VITEEE

Fluorine reacts with dilute NaOH and forms a gaseous product \(A\). The bond angle in molecule of \(A\) is

The number of \(\pi\) and \(\pi^\ast\) \(\pi_{z}\) bonds present in \(XeO_3\) and \(XeO_4\) molecules, respectively are

The type of bonds present in sulphuric anhydride are

Which pair of oxyacids of phosphorus contains \(P-P\) bonds?

SiCl\(_4\) on hydrolysis forms \(X\) and HCl. Compound \(X\) loses water at \(1000^\circ C\) and gives \(Y\). Compounds \(X\) and \(Y\) respectively are

The wave velocities of electron waves in two orbits is \(a:5\). The ratio of kinetic energy of electrons is

Electrons with a kinetic energy of \(6.023 \times 10^{-19}\,J\) are evolved from the surface of a metal, when it is exposed to a radiation of wavelength of \(600\,nm\). The minimum amount of energy required to remove an electron from the metal atom is

Dipole moment of HCl = \(1.03\,D\), HI = \(0.38\,D\). Bond length of HCl = \(1.3\,\AA\) and HI = \(1.6\,\AA\). The ratio of fraction of electric charge \(\delta\) existing on each atom in HCl and HI is

\(1.5g\) of \(CdCl_2\) was found to contain \(0.9g\) of Cd. Calculate the atomic weight of Cd.

How many tripeptides can be prepared by linking the amino acids glycine, alanine and phenyl alanine?

A codon has a sequence of \(A\) and specifies a particular \(B\) that is to be incorporated into a \(C\). What are \(A\), \(B\), \(C\)?

Parkinson's disease is linked to abnormalities in the levels of dopamine in the body. The structure of dopamine is

\(\cos^{-1}\left(-\frac{1}{2}\right)-2\sin^{-1}\left(\frac{1}{2}\right)+3\cos^{-1}\left(-\frac{1}{\sqrt{2}}\right)-4\tan^{-1}(-1)\) equals

If \(f:\mathbb{R}\rightarrow \mathbb{R}\) is defined by
\[ f(x)= \begin{cases} \dfrac{2\sin x-\sin 2x}{2x\cos x}, & x\neq 0 \\ a, & x=0 \end{cases} \] then the value of \(a\) so that \(f\) is continuous at \(0\) is

The solution of the differential equation
\[ \frac{dy}{dx}=\sin(x+y)\tan(x+y)-1 \] is

If \(p\Rightarrow(\sim p\vee q)\) is false, then the truth value of \(p\) and \(q\) are respectively

The line \(x=\frac{\pi}{4}\) divides the area of the region bounded by \(y=\sin x\), \(y=\cos x\) and x-axis \((0\leq x\leq \frac{\pi}{2})\) into two regions of areas \(A_1\) and \(A_2\). Then \(A_1:A_2\) equals

If
\[ x=\cos^{-1}\left(\frac{1}{\sqrt{1+t^2}}\right), \quad y=\sin^{-1}\left(\frac{t}{\sqrt{1+t^2}}\right), \] then \(\frac{dy}{dx}\) is equal to

If
\[ y=e^{a\sin^{-1}x}=(1-x^2)y_{n+2}-(2n+1)xy_{n+1} \] is equal to

The function \(f(x)=x^3+ax^2+bx+c\), \(a^2\leq 3b\) has

If
\[ \frac{d}{dx}\left[a\tan^{-1}x+b\log\left(\frac{x-1}{x+1}\right)\right]=\frac{1}{x^4-1} \] then \(a-2b\) is equal to

If \(I_n=\int \sin^n x\,dx\), then \(I_n-nI_{n-2}\) equals

If
\[ \int \left(\frac{2-\sin2x}{1-\cos2x}\right)e^x\,dx \] is equal to

Evaluate
\[ \lim_{x\to 0}\left(\frac{x+5}{x+2}\right)^{x+3} \]

The radius of the sphere
\[ x^2+y^2+z^2=12x+4y+3z \] is