List of top Questions asked in VITEEE

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

A motor of power $P_0$ is used to deliver water at a certain rate through a given horizontal pipe. To increase the rate of flow of water through the same pipe $n$ times, the power of the motor is increased to $P_1$. The ratio of $P_1 $ to $P_0$ is

A piece of metal weighs $45\, g$ in air and $25\, g$ in a liquid of density $1.5 \times 10^{3} \,kg - m ^{-3}$ kept at $30^{\circ} C$. When the temperature of the liquid is raised to $40^{\circ} C$, the metal piece weighs $27\, g$. The density of liquid at $40^{\circ} C$ is $1.25 \times 10^{3} \,kg - m ^{-3}$. The coefficient of linear expansion of metal is

Which one of the following order is correct for the first ionisation energies of the elements?

A soap bubble of radius $r$ is blown up to form a bubble of radius $2 r$ under isothermal conditions. If $T$ is the surface tension of soap solution, the energy spent in the blowing

Pineapple fruit develops from

The displacement of a particle executing $SHM$ is given by $y=5 \sin \left(4 t+\frac{\pi}{3}\right)$ If $T$ is the time period and the mass of the particle is $2\, g$, the kinetic energy of the particle when $t = T / 4$ is given by

A body is projected vertically upwards at time $t=0$ and it is seen at a height $H$ at time $t_{1}$ and $t_{2}$ second during its flight. The maximum height attained is ( $g$ is acceleration due to gravity)

$K, Rb $ and $Cs$ form superoxides. The stability of the superoxides increases from '$K$' to '$Cs$' due to decrease in lattice energy. The correct answer is

$K, Rb$ and $Cs$ form superoxides. The stability of the superoxides increases from '$K$' to '$Cs$' due to decrease in lattice energy. The correct answer is

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

Two identical piano wires have a fundamental frequency of $600 $ cycle per second when kept under the same tension. What fractional increase in the tension of one wires will lead to the occurrence of $6$ beats per second when both wires vibrate simultaneously?

A particle is projected up from a point at an angle $\theta$ with the horizontal direction. At any time $t$, if $p$ is the linear momentum, $y$ is the vertical displacement, $x$ is horizontal displacement, the graph among the following which does not represent the variation of kinetic energy $KE$ of the particle is

A particle of mass $4 \,m$ explodes into three pieces of masses $m, m$ and $2 \,m$. The equal masses move along $X$-axis and $Y$-axis with velocities $4\, ms ^{-1}$ and $6\, ms ^{-1}$ respectively. The magnitude of the velocity of the heavier mass is

The two lenses of an achromatic doublet should have

What are $X$ and $Y$ in the following reaction sequence $C _{2} H _{5} OH \ce{->[{ Cl _{2} }]} \underline{X} \ce{->[{ Cl _{2}}]}\underline{Y}$

The type of bonds present in sulphuric anhydride are

$pH$ 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

The chemical entities present in thermosphere of the atmosphere are

If the ratio of lengths, radii and Young's modulus of steel and brass wires shown in the figure are $a, b $ and $c$ respectively, the ratio between the increase in lengths of brass and steel wires would be

For the following cell reaction $Ag \left| Ag ^{+}\right| AgCl \left| Cl ^{\ominus}\right| Cl _{2}, Pt$ $\Delta G ^{\circ} f ( AgCl )=-109\, kJ / mol$ $\Delta G ^{\circ} f \left( Cl ^{-}\right)=-129\, kJ / mol$ $\Delta G ^{\circ} f \left( Ag ^{+}\right) 78 \,kJ / mol$ $E ^{\circ}$ of the cell is

How many ' $mL$' of perhydrol is required to produce sufficient oxygen which can be used to completely convert $2 \,L$ of $SO _{2}$ gas to $SO _{3}$ gas?

Let [ ] denote the greatest integer function and f (x) = [tan$^2$ x]. Then

The directrix of the parabola y$^2$ + 4x + 3 = 0 is