List of top Questions asked in VITEEE- 2011

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

On moving a charge of $20\, C$ by $2\, cm, 2\, J$ of work is done, then the potential difference between the points 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

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

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

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

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

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

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

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

The number of ways of painting the faces of a cube of six different colours is

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 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

Sky wave propagation is used in

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

If one $AM 'A'$ and two $GM$ $p$ and $q$ are inserted between two given numbers, then find the value of $\frac{p^{2}}{q}+\frac{q^{2}}{p}$

If the roots of the equation $x^2 + ax + b = 0$ are $c$ and $d$, then one of the roots of the equation $x^{2}+\left(2c+a\right)x+c^{2}+ac+b=0$ is