List of top Questions asked in VITEEE

The area bounded by the curves $y = cos\, x$ and $y = sin \,x$ between the ordinates $x = 0$ and $x = \frac{3\pi}{2}$ is

If $(2, 7, 3)$ is one end of a diameter of the sphere $x^2 + y^2 + z^2 - 6\,x -12\,y -2\,z + 20 = 0$, then the coordinates of the other end of the diameter are

If a line segment OP makes angles of $ \frac{\pi}{4}$ and $\frac{\pi }{3}$ with X-axis and Y-axis, respectively. Then, the direction cosines are

The normal at the point $(at_1^2 ,\, 2at_1)$ on the parabola meets the parabola again in the point $(at_1^2 ,\, 2at_2)$ , then

If p : It rains today, q : I go to school, r : I shall meet my friends and s : I shall go for a movie, then which of the following is the proportion? If it does not rain or if I do not go to school, then I shall meet my friend and go for a movie.

If p, q, r are simple propositions with truth values T, F, T, then the truth value of $\left(\sim p \vee q\right) \wedge \sim r \Rightarrow p $ is

If $|z| \ge 3$, then the least value of $\left|z+\frac{1}{4}\right|$ is

Two polaroids are kept crossed to each other. If one of them is rotated an angle $60^{\circ}$, the percentage of incident light now transmitted through the system is

The refractive index for a prism is given as $\mu = \cot \frac{A}{2}$. Then, angle of minimum deviation in terms of angle of prism is

Consider the following changes $M(s) \longrightarrow M(g)$ $M(g) \longrightarrow M^{2+}(g)+2 e^{-}\ldots$(1) $M(g) \longrightarrow M^{+}(g)+e^{-}\ldots$(2) $M^{+}(g) \longrightarrow M^{2+}(g)+e^{-} \ldots$ (3) $M(g) \longrightarrow M^{2+}(g)+2 e^{-}\ldots$(4) The second ionisation energy of $M$ could be determined from the energy values associated with

Consider the water gas equilibrium reaction, $C ( s )+ H _{2} O ( g ) \rightleftharpoons CO ( g )+ H _{2}( g )$ Which of the following statements is true at equilibrium?

A certain metal when irradiated by light $(r = 3.2 \times 10^{16} Hz)$ emits photoelectrons with twice kinetic energy as did photoelectrons when the same metal is irradiated by light $(r =2.0 \times 10^{16} Hz)$. The $v_0$ of metal is

An alloy of copper, silver and gold is found to have copper atom constituting the ccp lattice. If silver atom occupy the edge centres and gold atom is present at body centred, the alloy has a formula

A horizontal rod of mass $0.01\,kg$ and length$ 10\, cm $ is placed on a frictionless plane inclined at an angle $60^{\circ}$ with the horizontal and with the length of rod parallel to the edge of the inclined plane. A uniform magnetic field is applied ?Vertically downwards. If the current through the rod is $1.73\, A$, then the value of magnetic field induction $B$ for which the rod remains stationary on the inclined plane is

A $30\,V-90\,W$ lamp is operated on a $120\,V$ DC line. A resistor is connected in series with the lamp in order to glow it properly. The value of resistance is

In benzene, the triple bond consists of

An n-type semiconductor is

An electron of mass $9.0 \times 10^{-31} kg$ under the action of a magnetic field moves in a circle of radius $2\, cm$ at a speed of $3 \times 10^6 \, m/s$ . If a proton of mass $1.8 \times 10^{27} \, kg$ was to move in a circle of same radius in the same magnetic field, then its speed will become

If the ionisation energy and electron affinity of an element are $275$ and $86 \,kcal\, mol^{-1}$ respectively, then the electronegativity of the element on the Mulliken scale is

Caffeine has a molecular weight of $194\, u$. If it contains $28.9\%$ by mass of nitrogen, number of atom of nitrogen in one molecule of caffeine is

A current of $2\,A$ is flowing in the sides of an equilateral triangle of side $9\, cm$. The magnetic field at the centroid of the triangle is

A galvanometer with a scale divided into $100$ equal divisions has a current sensitivity of $10$ divisions per milliampere and a voltage sensitivity of $2$ divisions per millivolt. The galvanometer resistance will be

$X Cl _{2}( excess )+Y Cl _{2} X Cl _{4}+Y \downarrow$ $Y O {->[{\Delta}][{>400^{\circ} C }]} \frac{1}{2} O _{2}+Y$ Ore of Y would be ,

With excess of water, both $P_{2}O_{5}$ and $PCl_{5}$ give

Which one of the following is a case of negative adsorption?