List of top Questions asked in VITEEE

The length of the parabola y$^2$ = 12x cut off by the latus-rectum is
The shortest distance between the straight lines through the points $A_1 = (6, 2, 2)$ and $A_2 = (-4, 0, -1)$, in the directions of $(1, -2, 2)$ and $(3, -2, -2)$ is
Probability of getting positive integral roots of the equation x$^2$ - n = 0 for the integer n, 1 $\le$ n $\le$ 40 is
Solution of the differential equation $xdy - ydx - \sqrt{x^{2}+y^{2}}dx = 0$ is
If $\left|\frac{z-25}{z-1}\right|=5$ , the value of |z|
The center and radius of the sphere $x^2 + y^2 + z^2 + 3x - 4z + 1 = 0$ are
The simplified expression of sin ($tan^{-1} x$), for any real number $x$ is given by
The value of $\int^{^a}_{0}\sqrt{\frac{a-x}{x}}dx$ is
The value of $f(0)$ so that $\frac{\left(-e^{x} +2^{x}\right)}{x}$may be continuous at $x = 0$ is
Which of the following is ketohexose ?
When ethyl alcohol is heated with conc. $H_2SO_4$, the product obtained is :
When acetamide is hydrolysed by boiling with acid, the product obtained is :
$^{234}U $ has $92$ protons and $234$ nucleons total in its nucleus. It decays by emitting an alpha particle. After the decay it becomes
A solid sphere of radius $R_{1}$ and volume charge density $\rho=\frac{\rho_{0}}{r}$ is enclosed by a hollow sphere of radius $R_{2}$ with negative surface charge density $\sigma$, such that the total charge in the system is zero, $\rho_{0}$ is a positive constant and $r$ is the distance from the centre of the sphere. The ratio $\frac{R_{2}}{R_{1}}$ is
An observer $A$ sees an asteroid with a radioactive element moving by at a speed $=0.3\, c$ and measures the radioactivity decay time to be $T_{A}$. Another observer $B$ is moving with the asteroid and measures its decay time as $T_{B} .$ Then $T_{A}$ and $T_{B}$ are related as
The radioactivity of a certain material drops to $\frac{1}{16}$ of the initial value in $2$ hours. The half life of this radionuclide is
A $p-n$ junction has acceptor impurity concentration of $10^{17}\, cm ^{-3}$ in the $P$ side and donor impurity concentration of $10^{16} cm ^{-3}$ in the $N$ side. What is the contact potential at the junction? $(k T=$ thermal energy, intrinsic carrier concentration $\left.n_{i}=1.4 \times 10^{10}\, cm ^{-3}\right)$
A Zener diode has a contact potential of $1\, V$ in the absence of biasing. It undergoes Zener breakdown for an electric field of $10^{6} \,V / m$ at the depletion region of $p-n$ junction. If the width of the depletion region is $2.5 \,\mu\, m$, what should be the reverse biased potential for the Zener breakdown to occur?
The energy stored in the capacitor as shown in Fig. (a) is $4.5 \times 10^{-6} \,J$. If the battery is replaced by another capacitor of $900 \,pF$ as shown in Fig. (b), then the total energy of system is
Three resistances of $4 \,\Omega$ each are connected as shown in figure. If the point $D$ divides the resistance into two equal halves, the resistance between point $A$ and $D$ will be
The resistance of a metal increases with increasing temperature because
Which of the following sets consists only of essential amino acids ?
Which of the following is not a characteristic of transition elements ?
The continuous phase contains the dispersed phase throughout, Example is
Milk changes after digestion into :