List of top Questions asked in VITEEE

Two balls of equal masses are thrown upwards along the same vertical direction at an interval of $2\, s$, with the same initial velocity of $39.2 \,m/s$. The two balls will collide at a height of

To get an $OR$ gate from a $NAND$ gate, we need

A students plots a graph between inverse of magnification 1/$m$ produced by a convex thin lens and the object distance $u$ as shown in figure. What was the focal length of the lens used?

A network of resistances, cell and capacitor $C( = 2 \,\mu F)$ is shown in adjoining figure. In steady state condition, the charge on $2 \,\mu F $capacitor is $Q$, while $R$ is unknown resistance. Values of $Q$ and $R$ are respectively

What is the EAN of $[Al(C_4O_4)_3]^{3-}$ ?

The pressure on a square plate is measured by measuring the force on the plate. If the maximum error in the measurement of force and length are respectively $4\%$ and $2\%$, then the maximum error in the measurement of pressure is

The centre of a wheel rolling on a plane surface moves with a speed $v_{ 0}$. A particle on the rim of the wheel at the same level as the centre will be moving at speed

The dimensional formula of magnetic flux is

When $1 \,$ mole of $CO_{2(g)}$ occupying volume $10\,L$ at $27^{\circ}C$ is expanded under adiabatic condition, temperature falls to $150\, K$. Hence, final volume is

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

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

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

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

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