List of top Questions asked in VITEEE- 2011

If $\frac{x^{2}+2x+7}{2x+3} < 6, x\,\in\,R, $ then

If $D$ is the set of all real $x$ such that $1-e^{\left(1/ x\right)-1}$ is positive, then $D$ is equal to

A coil of resistance $10\,\Omega$ and inductance $5\, H$ is connected to a $100\, V$ battery. Then the energy stored in the coil is

$CH_{3} - \overset{\underset{||}{O}}{C} - CH_{3} \ce{->[{SeO_{2}}]} X +Se +H_{2}O : X$ is

$CH_3CH_2Br$ undergoes Wurtz reaction. We may expect some of the following product $A : CH_3CH_2CH_2CH_3$ $B : CH_2 = CH_2$ $C : CH_3 ? CH_3$ Select correct product.

$"925$ fine silver" means an alloy of

An electromagnetic wave going through vacuum is described by $E=E_{0}\,\sin \left(kx-\omega t\right)$ Which of the following is/are independent of the wavelength?

An alkene having molecular formula $C_8H_{12}$ on ozonolysis yields glyoxal and 2, 2-dimethyl butane-1, 4-dial. The structure of alkene is

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

A dice is rolled twice and the sum of the numbers appearing on them is observed to be $7$. What is the conditional probability that the number $2$ has appeared at least once ?

Evaluate $\int\limits^{3\pi/4}_{\pi/4} \frac{1}{1+cos\,x}dx$

p-toluidine and benzyl amine can be distinguished by

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?

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

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

$Mn_2O_7$ 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?

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

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

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?