List of top Questions asked in VITEEE

Evaluate $\int \frac{x^{2}+4}{x^{4}+16}dx.$

In producing chlorine through electrolysis $100\, W$ power at $125\, V$ is being consumed. How much chlorine per minute is leberated? ($ECE$ of chlorine is $0.367 ? 10^{-6}\, kg/C$)

In which of the following octahedral complexes of Co (At. no. 27), will the magnitude of $\Delta_{0}$ be the highest?

p-toluidine and benzyl amine can be distinguished by

An ammeter reads upto $1A$. Its internal resistance is $0.81\, \Omega$ . To increase the range to $10\, A$, the value of the required shunt is

As shown in the figure, charges $+ q$ and $- q$ are placed at the vertices $B$ and $C$ of an isosceles triangle. The potential at the vertex $A$ is

In a set of reactions acetic acid yielded a product D. $CH_{3} COOH {->[{SOCl_{2}}]} A {->[{\text{Benzene}}][{\text{anhy} AlCl_{3}}]} B {->[{HCN}]} C {->[{H_{2}O}]}$ The structure of D would be

In the reversible reaction, $2 NO _{2} \ce{->[{k_{1}}][{K_{2}}]} N _{2} O _{4}$ the rate of disappearance of $N O_{2}$ is equal to

Dimensions of a block are $1\,cm � 1\,cm � 100\,cm$. If specific resistance of its material is $3\times 10^{-7} \,\Omega\, m$, then the resistance between the opposite rectangular faces is

$Mn_2O_7$ dissolves in water to give an acid. The colour of the acid is

An inductive circuit contains a resistance of $10\, \Omega$ and an inductance of $2.0\, H$. If an $AC$ voltage of $120\, V$ and frequency of $60\, Hz$ is applied to this circuit, the current in the circuit would be nearly

An infinite number of charge, each of charge $1\, \mu C$ are placed on the x-axis with coordinates $x=1, 2, 4, 8, ....... \infty.$ If a charge of $1\,C$ is kept at the origin, then what is the net force acting on $1\,C$ charge?

Find the value of $(7.995)^{1/3}$ correct to four decimal places.

Which one of the following will be most basic?

Which of the following will give Cannizzaro reaction?

What is the age of an ancient wooden piece if it is known that the specific activity of $C^{14}$ nuclide in its amounts is $3/5$ of that in freshly grown trees? Given the half of $C$ nuclide is $5570\, yr$.

Glycerine is used as a preservative for fruits and eatables because

The sum of the coefficients of $(6\,a-5\,b)^n$, where $n$ is a positive integer, is

A rectangular loop carrying a current $i$ is placed in a uniform magnetic field $B$. The area enclosed by the loop is $A$. If there are $n$ turns in the loop, the torque acting on the loop is given by

A solenoid has $2000$ turns wound over a length of $0.30\, m$ . The area of its cross-section is $1.2 ? 10^{-3}\, m^2$. Around its central section, a coil of $300$ turn is wound. If an initial current of $2A$ in the solenoid is reversed in $0.25\, s$, then the emf induced in the coil is

The frequency of an $FM$ transmitter without signal input is called

If $X$ is a poisson variate such that $P(X = 1) = P(X = 2)$, then $P(X=4)$ is equal to

In an equilateral triangle, the inradius, circumradius and one of the exradii are in the ratio

In how many ways 6 letters be posted in 5 different letter boxes?

Sky wave propagation is used in