List of top Questions asked in VITEEE

Magnetic field at the centre of a circular loop of area $A$ is $B$. The magnetic moment of the loop will be

Figure shows a straight wire length $l$ carrying current $i$. The magnitude of magnetic field produced by the current at point $P$ is.

Zener diode is used for

The numerically greatest term in the expansion of $(3-5x)^{11}$ when $x = \frac{1}{5},$ is

If $z$ satisfies the equation $|z|-z=1+2 i$, then $z$ is equal to

Domain of the function $f (x) = \log_x \; \cos \; x$, is

Let $S$ be a set containing $n$ elements. Then, number of binary operations on $S$ is

If $F$ is function such that $F (0) = 2, F (1) = 3, F (x+2) = 2F (x) - F (x+1)$ for $x \ge 0$, then $F (5)$ is equal to

If $z=\frac{1-i \sqrt{3}}{1+i \sqrt{3}}$, then $\arg (z)$ is

The number of solutions of the equation $\sin \; (e^{x}) = 5^x + 5^{-x}$, is

If $a^x = b^{y} = c^{z} = d^{u}$ and $a, b,\, c,\, d$ are in $GP$, then $x,\, y,\, z,\, u$ are in

The principal value of $\sin^{-1} \left\{\sin \frac{5\pi}{6}\right\} $ is

The value of $\frac{\cos\theta}{1+ \sin\theta}$ is equal to

If $f(x) = \sqrt{\log_{10} x^2} $ . The set of all values of $x$ for which $f(x)$ is real , is

$\displaystyle\lim_{n\to\infty} \left[\frac{1}{1.2} + \frac{1}{2.3} + \frac{1}{3.4} + .... + \frac{1}{n\left(n+1\right)}\right] $ is equal to

Range of the function $y =\sin^{-1} \left(\frac{x^{2}}{1+x^{2}}\right) $ is

For what values of m can the expression $2x^2 + mxy + 3y^2 - 5y - 2$ be expressed as the product of two linear factors

The attenuation in optical fibre is mainly due to

If $B$ is a non-singular matrix and $A$ is a square matrix, then det $(B^{-1} AB)$ is equal to

If $\int\limits^x_1 \frac{dt}{|t\, \sqrt{t^2 - 1}} = \frac{\pi}{6}$ , then $x$ can be equal to

Consider the following reaction:
\[ C_2H_5Cl + AgCN \xrightarrow[\text{EtOH/H}_2O]{} X \;(\text{major}) \]
Which one of the following statements is true for \(X\)?
(I) It gives propionic acid on hydrolysis
(II) It has an ester functional group
(III) It has nitrogen linked to ethyl carbon
(IV) It has a cyanide group

Aluminium reacts with NaOH and forms compound \(X\). If the coordination number of aluminium in \(X\) is \(6\), the correct formula of \(X\) is

How many mL of perhydrol is required to produce sufficient oxygen which can be used to completely convert \(2L\) of \(SO_2\) gas to \(SO_3\) gas?

During the depression in freezing point experiment, an equilibrium is established between the molecules of

The concentration of an organic compound in chloroform is \(6.15\,g\) per \(100\,mL\) of solution. A portion of this solution in a 5 cm polarimeter tube causes an observed rotation of \(-1.2^\circ\). What is the specific rotation of the compound?