List of top Questions asked in VITEEE

Value of $\int\limits_{0}^{\pi /2} \frac{\sqrt{sin x}}{\sqrt{sin x}\sqrt{cos x}} $ dx is

The value of x obtained from the equation $\begin{vmatrix}x+\alpha&\beta&\gamma\\ \gamma&x+\beta&\alpha\\ \alpha&\beta&x+\gamma\end{vmatrix}=0$ will be

The volume V and depth x of water in a vessel are connected by the relation $V=5x-\frac{x^{2}}{6} $ and the volume of water is increasing, at the rate of $5 cm^{3}/sec,$ when x = 2 cm. The rate at which the depth of water is increasing, is

The solution of the differential equation log x $\frac{d y}{d x}+\frac{y}{x} =$ sin 2x is

The emf of a particular voltaic cell with the cell reaction $Hg_{2}^{2+}+H_{2} {\rightleftharpoons} 2Hg+2H^{+}$ is 0.65 V. The maximum electrical work of this cell when 0.5 g of $H_{2}$ is consumed.

A smooth sphere of mass M moving with velocity u directly collides elastically with another sphere of mass m at rest. After collision, their final velocities are V and v respectively. The value of v is

An alternating voltage of 220 V, 50 Hz frequency is applied across a capacitor of capacitance 2 $\mu$F. The impedence of the circuit is

The value of $\tan (90-\theta)$ in the graph gives :

The value of Planck's constant $(h)$ is $6.63 \times 10^{-34} Js$. The velocity of light is $3.0 \times 10^{8} ms ^{-1}$. Which value is closest to the wavelength (in meters) of a quantum of light with frequency of $8 \times 10^{15} s ^{-1}$ ?

What is $Z$ in the following sequence of reactions? $\text{Phenol}\xrightarrow[\text{dust}]{Zn} X \xrightarrow[{\text{Anhyd}}.AlCl_3]{CH_3Cl} Y \xrightarrow[KMnO_4]{\text{Alkaline}}Z$

Let A be the centre of the circle $x^{2}+y^{2}-2x-4y-20=0,$ and B( 1,7) andD(4,-2) are points on the circle then, if tangents be drawn at B and D, which meet at C, then area of quadri 1 ateral A BCD is-

What is X?

The area bounded by f (x) $=x^{2}, 0 \le x \le 1, g\left(x\right)=x+2,1\le x\le2$ and x- axis is

Resistances 1 $\Omega$,2 $\Omega$ and 3 $\Omega$ are connected to form a triangle.If a 1.5 V cell of negligible internal resistance is connected across the 3 $\Omega$ resistor, the current flowing through this resistor will be

The current in a coil of L = 40 mH is to be increased uniformly from 1A to 11 A in 4 milli sec. The induced e.m.f. will be

The half life period of a first order chemical reaction is 6.93 minutes. The time required for the completion of 99% of the chemical reaction will be (log 2 = 0.301)

Kerosene oil rises up in a wick of a lantern because of

For a first order reaction $A \to P,$ the temperature (T) dependent rate constant (k) was found to followthe equation log k=- (2000) $\frac{1}{T}+6.0.$ The pre-exponential factor A and the activation energy $E_{a,}$ respectively, are

If the eccentricity of the hyperbola $x^{2}-y^{2} cos ec^{2} \alpha=25 is \sqrt{5}$ times the eccentricity of the ellipse $x^{2} cos ec^{2} \alpha+y^{2}=5, then \alpha$ is equal to :

The number of surjective functions from $A$ to $B$ where $A = \{1, 2, 3, 4 \}$ and $B = \{a, b\}$ is

What is the area of a loop of the curve $r = a \sin^3 \theta$ ?

A plot of ln K against $\frac{1}{T}$ (abscissa) is expected to be a straight line with intercept on ordinate axis equal

Among the following the incorrect statement is

If $ A$ and $B$ are matrices and $B = ABA^{-1}$ then the value of $(A + B) (A - B)$ is