List of top Questions asked in VITEEE

What is the length of the projection of $3\hat{i}+4\hat{j}+5\hat{k}$ on the xy-plane ?
The combined equation of the asymptotes of the hyperbola $2x^2 + 5xy + 2y^2 + 4x + 5y = 0$ is -
The solution of $\frac{dv}{dt} +\frac{k}{m}v = -g$ is
The principal value of $sin^{-1} \left(sin \frac{5\pi}{3}\right)$ is
The vector equation of the symmetrical form of equation of straight line $\frac{x-5}{3} = \frac{y+4}{7} = \frac{z-6}{2}$ is
Which of the following is the correct lens formula?
Given that the equilibrium constant for the reaction $ {2SO2(g) + O2(g) <=> 2SO3(g)}$ has a value of278 at a particular temperature. What is the value of the equilibrium constant for the following reaction at the same temperature? $ {SO3(g) <=> SO2(g) + \frac{1}{2} O2(g)}$
The resistance of $0.01\, N$ solution of an electrolyte was found to be $220\, ohm$ at $298\, K$ using a conductivity cell with a cell constant of $0.88\,cm^{-1}$. The value of equivalent conductance of solution is -
The V-I characteristic of a diode is shown in the figure. The ratio of forward to reverse bias resistance is:
V-I characteristic of a diode
The principle of conservation of linear momentum can be strictly applied during a collision between two particles provided the time of impact
A metallic sphere is placed in a uniform electric field. The line of force follow the path (s) shown in the figure as
Compound 'A' of molecular formula $C_4H_{10}O$ on treatment with Lucas reagent at room temperature gives compound ?B\ When compound ?B? is heated with alcoholic $KOH$, it gives isobutene. Compound ?A? and ?B? are respectively
In the extraction of Cu, the metal is formed in the bessemer converter due to the reaction:
In a compound, atoms of element Y form ccp lattice and those of element X occupy $2/3^{rd}$ of tetrahedral voids. The formula of the compound will be
In case of nitrogen, $NCl_3$ is possible but not $NCl_5$ while in case of phosphorus, $PCl_3$ as well as $PCl_5$ are possible. It is due to
In Williamson synthesis if tertiary alkyl halide is used than
Ionisation energy of $He^+$ is $19.6 \times 10^{-18}\, J$ atom$^{-1}$. The energy of the first stationary state $(n= 1)$ of $Li^{2+}$ is
A football is inflated by pumping air in it. When it acquires spherical shape its radius increases at the rate of 0.02 cm/s. The rate of increase of its volume when the radius is 10 cm is ___________$\pi$ cm/s
For the LPP; maximise $z =x + 4y$ subject to the constraints $x + 2y \leq 2, x +2 y \ge 8, x, y \ge 0$
An element occuring in the bcc structure has $12.08 \times 10^{23}$ unit cells. The total number of atoms of the element in these cells will be
A large number of liquid drops each of radius r coalesce to from a single drop of radius R. The energy released in the process is converted into kinetic energy of the big drop so formed. The speed of the big drop is (given, surface tension of liquid T, density $\rho$)
A metal disc of radius $100 \,cm$ is rotated at a constant angular speed of $60$ rad/s in a plane at right angles to an external field of magnetic induction $0.05\, Wb/m^2$. The emf induced between the centre and a point on the rim will be
Which of the following compounds is formed when a mixture of $K_2Cr_2O_7$ and NaCl is heated with cone. $H_2SO_4$ ?

The temperature of equal masses of three different liquids A, B and C are \(12^{\circ}C\), \(12^{\circ}C\) and \(28^{\circ}C\) respectively. The temperature when A and B are mixed is \(16^{\circ}C\) and when B and C are mixed is \(23^{\circ}C\). The temperature when A and C are mixed is

The ratio of radii of the first three Bohr orbits is