List of top Questions asked in VITEEE

If $x > 0$ and $\log_{3} x+\log_{3}\left(\sqrt{x}\right)+\log_{3}\left(\sqrt[4]{x}\right)+\log_{3}\sqrt[8]{x}+\log_{3}\left(\sqrt[16]{x}\right)+....=4,$ then x equals

If (x +y )sin u = $x^2y^2$, then $x \frac{\partial u}{\partial x} + y \frac{\partial u}{\partial y} = $

Let $A = \{1,2,3,....., n\}$ and $B = \{a,b,c\}$, then the number of functions from $A$ to $B$ that are onto is

Radar waves are sent towards a moving airplane and the reflected waves are received. When the airplane is moving towards the radar, the wavelength of the wave

Radio carbon dating is done by estimating in specimen

The antenna current of an $AM$ transmitter is $8\,A$ when only the carrier is sent, but it increases to $8.93\,A$ when the carrier is modulated by a single sine wave. Find the percentage modulation.

The electric field intensity $\vec{E}$, due to an electric dipole of moment $\vec{p}$, at a point on the equatorial line is

Indicate which one of the following statements is not correct?
(a) Intensities of reflections from different crystallographic planes are equal
(b) According to Bragg's law higher order of reflections have high $\theta$ values for a given wavelength of radiation
(c) For a given wavelength of radiation, there is a smallest distance between the crystallographic planes which can be determined
(d) Bragg's law may predict a reflection from a crystallographic plane to be present but it may be absent due to the crystal symmetry

Ionization power and penetration range of radioactive radiation increases in the order

The correct sequence of base strengths in aqueous solution is

For strong electrolytes the plot of molar conductance vs $\sqrt{C}$ is

Given: $ { 2C(s) + 2O_2 (g) -> 2CO_2 (g) ; \Delta H = -787 kJ} $

${HOOC - (CH_2)_4 - COOH + 2C_2H_5OH ->[H_2SO_4][Toluene] C_2H_5OOC -CH_2 - COOC H_5}$ The purpose of using toluene here is

The length of the straight line $x - 3y = 1$ intercepted by the hyperbola $x^2 - 4y^2 = 1$ is

The product of all values of $(\cos \alpha + i \sin \alpha)^{3/5}$ is equal to

If b$^2 \ge 4 ac$ for the equation $ax^4 + bx^2 + c = 0$, then all the roots of the equation will be real if

If the rank of the matrix $\begin{bmatrix}-1 &2&5\\ 2&-4&a-4\\ 1&-2&a+1\end{bmatrix}$ is 1, then the value of $a$ is

The function $f(x) = x^2 \; e^{-2} x, x > 0$. Then the maximum value of $f(x)$ is

The differential equation of the system of all circles of radius $r$ in the $xy$ plane is

If $ P\left(A\right)=\frac{1}{12}, P\left(B\right)=\frac{5}{12},$ and $P\left(B|A\right) =\frac{1}{15}$ then $p\left(A\cup B\right)$ is equal to

If the normal to the curve $y = f(x)$ at $(3,4)$ makes an angle $\frac{3 \pi}{4}$ with the positive x-axis, then $f'(3)$ is equal to

The equation of a directrix of the ellipse $\frac{x^2}{16} + \frac{y^2}{25} = 1 $ is

A new system of units is evolved in which the values of $\mu_0$ and $\epsilon_0$are 2 and 8 respectively. Then the speed of light in this system will be

The increase of pressure on ice ? water at a constant temperature will cause

The order of the reaction $N_2O_5 \, \rightarrow \, N_2O_4(g) + \frac{1}{2}O_2(g)$ is