List of top Questions asked in VITEEE

Mobilities of electrons and holes in a sample of intrinsic germanium at room temperature are $0.36\,m^2V^{-1}s^{-1}$ and $0.17\,m^2V^{-1}s^{-1}$. The electron and hole densities are each equal to $2.5 \times 10^{19} m^3$. The electrical conductivity of germanium is

The density of solid argon is $1.65\, g\, per\, cc$ at - $233^\circ C$. If the argon atom is assumed to be a sphere of radius $1.54 \times 10^{-8}\, cm$, what per cent of solid argon is apparently empty space? $(Ar = 40)$

If the work done in turning a magnet of magnetic moment $M$ by an angle of 90$^{\circ}$ from the magnetic meridian is $n$ times the corresponding work done to turn it through an angle of 60$^{\circ}$, then the value of $n$ is

For the cell reaction $2 Ce^{4+}+Co \rightarrow 2 Ce^{3+}+Co^{3+} ; E^{\circ}_{cell}$ cell is $1.89\, V$. If $E_{Co^{2+}/Co}$ is $- 0.28 \,V$, what is the value of $E^{\circ} _{Ce^{4+}/Ce ^{3+} }$?

If $A = \begin{bmatrix}1&-5&7\\ 0&7&9\\ 11&8&9\end{bmatrix}$, then trace of matrix $A$ is

The tangent at $(1, 7)$ to the curve $x^2 = y - 6$ touches the circle $x^2 + y^2 + 16x + 12y + c = 0$ at

$\int \frac{dx}{\sin x - \cos x + \sqrt{2}} $ equals to

The value of integral $\int\limits_0^1 \, \sqrt{\frac{1-x}{1+x}}dx$ is

A straight line through the point A(3, 4) is such that its intercept between the axes is bisected at A, its equation is

The equation of straight line through the intersection of the lines $x - 2y = 1 $ and $x + 3y = 2$ and parallel $3x + 4y = 0$ is

The value of $\displaystyle\lim_{x\to\infty}\left(\frac{\pi}{2} - \tan^{-1} x\right)^{1/x} $ is

There are $5$ letters and $5$ different envelopes. The number of ways in which all the letters can be put in wrong envelope, is

The coefficient of $x^n$ in the expansion of $\log_a (1 + x)$ is

The maximum value of $4 \, \sin^2 \, x - 12 \sin \, x + 7$ is

The value of the determinant $\begin{vmatrix}\cos\alpha&-\sin\alpha&1\\ \sin \alpha&\cos\alpha&1\\ \cos\left(\alpha+\beta\right)&-\sin\alpha+\beta&1\end{vmatrix} $ is

Which has the maximum number of molecules among the following ?

What is the value of electron gain enthalpy of $Na^+$ if $IE_1$ of $Na = 5.1 \,eV$ ?

Match List I (Equations) with List II (Types of process) and select the correct option.

If $(-3, 2)$ lies on the circle $x^2 + y^2 + 2gx + 2fy + c = 0$, which is concentric with the circle $x^2 + y^2 + 6x + 8y - 5 = 0,$ then c is equal to

In the following reaction, $C_6H_5CH_2Br \ce{->[{(i) \text{Mg,Ether}}][{(ii) H_3O^+}] X }$ the product ' $X$ ' is

Charge passing through a conductor of cross-section area $A=0.3 \,m ^{2}$ is given by $q=3 t^{2}+5 t+2$ in coulomb, where $t$ is in second. What is the value of drift velocity at $t=2 s ?$ (Given, $\left.n=2 \times 10^{25} / \,m ^{3}\right)$

$A$ and $B$ are two metals with threshold frequencies $1.8 \times 10^{14}\, Hz$ and $2.2 \times 10^{4}\, Hz$ Two identical photons of energy $0.825 \,eV$ each are incident on them. Then photoelectrons are emitted by (Take $\left.h=6.6 \times 10^{-34} \,J - s \right)$

A direct $X$ -ray photograph of the intenstines is not generally taken by radiologists because

Following compounds are given (i) $CH _{3} CH _{2} OH$ (ii) $CH _{3} COCH _{3}$ (iii) $CH _{3}- \underset{\overset{|}{C}H_3}{C}HOH$ (iv) $CH _{3} OH$ Which of the above compound(s) on being warmed with iodine solution and $NaOH$, will give iodoform?

Which one of the following compounds will be most readily dehydrated ?