List of top Questions asked in VITEEE

In a Millikan's oil drop experiment the charge on an oil drop is calculated to be $6.35 ? 10^{-19}\, C$. The number of excess electrons on the drop is

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

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

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

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

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

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

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

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

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

A straight wire carrying current i is turned into a circular loop. If the magnitude of magnetic moment associated with it in MKS unit is M, the length of wire will be

A potential difference of $2\, V$ is applied between the opposite faces of a $Ge$ crystal plate of area $1\, cm ^{2}$ and thickness $0.5 mm$. If the concentration of electrons in $Ge$ is $2 \times 10^{19} / m ^{2}$ and mobilities of electrons and holes are $0.36\, m ^{2} V ^{-1} s ^{-1}$ and $0.14\, m ^{2} V ^{-1} s ^{-1}$ respectively, then the current flowing through the plate will be

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

On treatment of propanone with dilute $Ba(OH)_2$, the product formed is

In Meter bridge or Wheatstone bridge for measurement of resistance, the known and the unknown resistances are interchanged. The error so removed is

Frenkel defect is generally observed in

Most crystals show good cleavage because their atoms, ions or molecules are

Which of the following compounds is not coloured?

Zener diode is used for

An arc of radius $r$ carries charge. The linear density of charge is $\lambda$ and the arc subtends an angle $\frac{\pi}{3}$ at the centre. What is electric potential at the centre?

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