List of top Questions asked in VITEEE

The differential equation of the system of all circles of radius $r$ in the $xy$ plane is

If $x > 0$ and $\log_{3} x+\log_{3}\left(\sqrt{x}\right)+\log_{3}\left(\sqrt[4]{x}\right)+\log_{3}\sqrt[8]{x}+\log_{3}\left(\sqrt[16]{x}\right)+....=4,$ then x equals

If the normal to the curve $y = f(x)$ at $(3,4)$ makes an angle $\frac{3 \pi}{4}$ with the positive x-axis, then $f'(3)$ is equal to

The equation of a directrix of the ellipse $\frac{x^2}{16} + \frac{y^2}{25} = 1 $ is

6 moles of an ideal gas expand isothermally and reversibly from a volume of 1 litre to a volume of 10 litres at 27?C. What is the maximum work done?

When ideal gas expands in vacuum, the work done by the gas is equal to

Three resistances of values 2$\Omega$, 3$\Omega$ and 6$\Omega$ are to be connected to produce an effective resistance of 4$\Omega$ . This can be done by connecting

The resistance of a field coil measures 50$\Omega$ at 20?C and 65$\Omega$ at 70?C. The temperature coefficient of resistance is

A current of 5A is passing through a metallic wire of cross-sectional area $4\times10^{-6}m^2$ If the density of the charge carriers in the wire is 5 ? $10^{26}m^{-3}$, the drift speed of the electrons will be [e = 1.602 ? $10^{-19}C$]

What is the least value of k such that the function x$^2$ + kx + 1 is strictly increasing on (1,2)

In rolling two fair dice, what is the probability of obtaining a sum greater than 3 but not exceeding 6 ?

if $e^x \, =\, y+ \sqrt{1+y^2},$ then the value of y is

Schottky defect in solids is due to

The magnetic moment of lanthanide ions is determined from which one of the following relation?

The metal that crystallises in simple cubic system is

The electrolyte used in Lechlanche cell is

Calcium Acetate on heating under distillation gives

The order of the reaction $N_2O_5 \, \rightarrow \, N_2O_4(g) + \frac{1}{2}O_2(g)$ is

Identify the product for the following reaction

The tendencies of the electrodes made up of Cu, Zn and Ag to release electrons when dipped in their respective salt solutions decrease in the order

Which one of the following is amorphous?

The increase of pressure on ice ? water at a constant temperature will cause

The reaction,Zn(s) + CuSO4(aq) $\rightarrow$ZnSO4(aq) + Cu(s) is an example of a

How many lattice points belong to a face centered cubic unit cell?

A circular coil of radius 40 mm consists of 250 turns of wire in which the current is 20mA. The magnetic field in the center of the coil is $\mu =4\pi?10^{-7}Hm^{-1}$