List of top Questions asked in VITEEE- 2013

Two particles of equal mass m go round a circle of radius R under the action of their mutual gravitational attraction. The speed of each particle is:

A current of $2.0\, A$ passed for $5$ hours through a molten metal salt deposits $22.2\, g$ of metal (At wt. = $177$). The oxidation state of the metal in the metal salt is

$CH_{3}\overset{\underset{||}{O}}{C}CH_{2}CH_{2}\overset{\underset{||}{O}}{C}OCH_{2}CH_{3}\underset{(ii) H_{3}O^{+}}{\overset{(i) CH_{3}MgBr (one mole)}{\longrightarrow}}A$
A is formed in this reaction is

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

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)

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

$NH_4Cl(s)$ 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

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

In a Claisen condensation reaction (when an ester is treated with a strong base)

Ketones $[R- \underset{\overset{||}{O}}{C} - R']$ where, $R = R' = $ alkyl group can be obtained in one step by

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

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 $A$?

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 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

List of top Questions asked in VITEEE- 2013

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