List of top Questions asked in VITEEE

Bauxite ore is generally contaminated with impurity of oxides of two elements X and Y. Which of the following statement is correct?

The shape of $[ \text{Cu}(\text{NH}_3)_4 ]^{2+}$ is:

The form of iron obtained from blast furnace is:

Lyophilic sols are more stable than lyophobic sols because:

The oxidation number of phosphorus in $ {Ba(H}_2{PO}_2)_2 $ is:

200 mL of an aqueous solution of a protein contains 1.26 g. The osmotic pressure of this solution at 300 K is found to be $ 2.57 \times 10^{-3} \, {bar} $. The molar mass of the protein will be: (R = 0.083 L bar mol$^{-1}$ K$^{-1}$)

The value of van der Waals constant ' a ' for gases $ {O}_2 $, $ {N}_2 $, $ {NH}_3 $, and $ {CH}_4 $ are 1.360, 1.390, 4.170, and 2.253 L$^2$atm/mol$^2$ respectively. The gas which can most easily be liquefied is:

The electric potential $ V(x) $ in a region around the origin is given by $ V(x) = 4x^2 \, {volts}. $ .The electric charge enclosed in a cube of 1m side with its center at the origin is (in coulomb)

A heater coil is cut into two equal parts and only one part is now used in the heater. The heat generated will now be

In a region, steady and uniform electric and magnetic fields are present. These two fields are parallel to each other. A charged particle is released from rest in this region. The path of the particle will be a

An object is thrown vertically upwards. At its maximum height, which of the following quantity becomes zero?

The self-induced emf of a coil is 25 volts. When the current in it is changed at uniform rate from 10A to 25 A in 1s, the change in the energy of the inductance is:

The magnetic field of a plane electromagnetic wave is given by: \[ \vec{B} = 2 \times 10^{-8} \sin \left(0.5 \times 10^3 x + 1.5 \times 10^{11} t \right) \hat{j} \, {T}. \] {The amplitude of the electric field would be:}

A particle is moving with a velocity $ \vec{v} = K (y \hat{i} + x \hat{j} )$, where $ K $ is a constant. The general equation for its path is:

A thermodynamic system is taken from an original state D to an intermediate state E by the linear process shown in the figure. Its volume is then reduced to the original volume from E to F by an isobaric process. The total work done by the gas from D to E to F will be:

A vertical electric field of magnitude $ 4.9 \times 10^5 \, {N/C} $ just prevents a water droplet of a mass $ 0.1 \, {g} $ from falling. The value of charge on the droplet will be: (Given $ g = 9.8 \, {m/s}^2 $)

A current $ I $ flows along the length of an infinitely long, straight, thin-walled pipe. Then:

The de Broglie wavelength of a proton and $ \alpha $-particle are equal. The ratio of their velocities is:

If $ E $ and $ H $ represent the intensity of electric field and magnetizing field respectively, then the unit of $ \frac{E}{H} $ will be:

If two soap bubbles of different radii are connected by a tube:

For a transistor, $ \alpha $ and $ \beta $ are given as $ \alpha = \frac{I_C}{I_E} $ and $ \beta = \frac{I_C}{I_B} $. Then the correct relation between $ \alpha $ and $ \beta $ will be:

A Carnot engine has an efficiency of 50%. If the temperature of the sink is reduced by $ 40^\circ C $, its efficiency increases by 30%. The temperature of the source will be:

Alternating current cannot be measured by a D.C. ammeter because

An ideal gas is expanding such that $ P T^3 = {constant} $. The coefficient of volume expansion of the gas is:

A particle of mass $ M $ originally at rest is subjected to a force whose direction is constant but magnitude varies with time according to the relation $ F = F_0 \left[ 1 - \left( \frac{t - T}{T} \right)^2 \right] $
where $ F_0 $ and $ T $ are constants. The force acts only for the time interval $ 2T $. The velocity $ v $ of the particle after time $ 2T $ is: