List of top Questions asked in VITEEE

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

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

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

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

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 numerically greatest term in the expansion of $(3-5x)^{11}$ when $x = \frac{1}{5},$ is

If $F$ is function such that $F (0) = 2, F (1) = 3, F (x+2) = 2F (x) - F (x+1)$ for $x \ge 0$, then $F (5)$ is equal to

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

$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 }\left(-1\right) $ equals

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

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

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

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

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

The two lenses of an achromatic doublet should have

If $X$ is a binomial variate with the range $\{0,1,2,3,4,5,6\}$ and $ P(X=2)=4 P(X=4)$ then the parameter $p$ of $X$ is

In a $\Delta A B C \frac{(a+b+c)(b+c-a)(c+a-b)(a+b-c)}{4 b^{2} c^{2}}$ equals