List of top Questions asked in VITEEE

The angle of intersection of the circles $x^{2}+y^{2}-x+y-8=0$ and $x^{2}+y^{2}+2 x+2 y-11=0$ is
A near $UV$ photon of $300 \,nm$ is absorbed by a gas and then re-emitted as two photons. One photon is red with wavelength of the second photon is
A body of mass $2 \,kg$ moving with velocity of $6\, m/s $ strikes in elastically with another body of same mass mass at rest. The amount of heat evolved during collision is
As the electron in Bohr?s orbit of hydrogen atom passes from state $n$ = 2 to, $n =1$, the Kinetic energy (K) and the potential energy (U) changes as
Four equal charges $q$ each are placed at four corners of a square of side a each. Work done in carrying a charge $-q$ from its centre to infinity is
If a current $I$ is flowing in a loop of radius $r$ as shown in adjoining figure, then the magnetic field induction at the centre $O$ will be
If a gas mixture contains 2 moles of $O_2$ and $4$ moles of $Ar$ at temperature $T$, then what will be the total energy of the system (neglecting all vibrational modes)
$NH_4Cl(s)$ is heated in a test tube. Vapours are brought in contact with red litmus paper, which changes it to blue and then to red. It is because of
Ketones $[R- \underset{\overset{||}{O}}{C} - R']$ where, $R = R' = $ alkyl group can be obtained in one step by
In a Claisen condensation reaction (when an ester is treated with a strong base)
An element with atomic number $Z = 11$ emits $K_{\alpha} -$ X-ray of wavelength $\lambda$. The atomic number which emits $K_{\alpha} - $ $X$-ray of wavelength 4$\lambda$ is
An organic compound $B$ is formed by the reaction of ethyl magnesium iodide with a substance $A$, followed by treatment with dilute aqueous acid, Compound $B$ does not react with $PCC$ or $PDC$ in dichloromethane. Which of the following is a possible compound for $A$?
A lead shot of $1 \,mm$ diameter falls through a long column of glycerine. The variation of the velocity with distance covered (s) is correctly represented by
If a tangent having slope of $-\frac{4}{3}$ to the ellipse $\frac{x^{2}}{18}+\frac{y^{2}}{34}=1$ intersects the major and minor axes in points $A$ and $B$ respectively, then the area of $\Delta OAB$ is equal to (O is the centre of the ellipse)
A body of mass $5 \,m$ initially at rest explodes into $3$ fragments with mass ratio $3 : 1 : 1$. Two of fragments each of mass $'m'$ are found to move with a speed of $60 \,m/s$ is mutually perpendicular directions. The velocity of third fragment is
Calculate $pH$ of a buffer prepared by adding $10 \,mL$ of $0.10 \,M$ acetic acid to $20\, mL$ of $0.1\, M$ sodium acetate [$pK_a (CH_3COOH) = 4.74]$
Which of these ions is expected to be coloured in aqueous solution? $I. Fe^{3+} $ $II. Ni^{2+} $ $ III. Al^{3+}$
Which is more basic oxygen in an ester?
Two indentical magnetic dipoles of magnetic moment $1.0 \,Am^2$ each, placed at a separation of $2 \,m$ with their axes perpendicular to each other. The resultant magnetic field at a point midway between the dipoles is
To get an $OR$ gate from a $NAND$ gate, we need
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
The value of the determinant $\begin{vmatrix}1&cos \left(\alpha-\beta\right)&cos \alpha\\ cos \left(\alpha -\beta \right)&1&cos \beta\\ cos \alpha &cos \beta &1\end{vmatrix}$ is
The value of the integral $\int\limits ^{1/2}_{-1/2}\left[\left(\frac{x+1}{x-1}\right)^{^2}+\left(\frac{x+1}{x-1}\right)^{^2}-2\right]^{^{1/2}}\:\:dx$ is
The vector $b = 3j + 4k$ is to be written as the sum of a vector $b_1$ parallel to $a = i +j$ and a vector $b_2$ perpendicular to $a$. Then $b_1$ is equal to
The value of $2 \,tan^{-1} (cosec \,tan^{-1} x - tan \,cot^{-1} x))$ is