List of top Questions asked in VITEEE

Two light beams of intensities in the ratio of 9 : 4 are allowed to interfere. The ratio of the intensity of maxima and minima will be:
Potential energy as a function of \(r\) is given by \( U = \frac{A}{r^{10}} - \frac{B}{r^5} \), where \(r\) is the interatomic distance, \(A\) and \(B\) are positive constants. The equilibrium distance between the two atoms will be:
The recoil speed of a hydrogen atom after it goes from \( n = 5 \) state to \( n = 1 \) state will be:

The conjugate base of \( (\text{CH}_3)_2\text{NH}_2^+ \) is:

An ideal gas expands against a constant external pressure of 2.0 atmosphere from 20 litre to 40 litre and absorbs 10 kJ of heat from the surrounding. What is the change in internal energy of the system? (given: \( 1 \, {atm-litre} = 101.3 \, {J} \))
An ideal gas is expanding such that \( P T^3 = {constant} \). The coefficient of volume expansion of the gas is:
Water is:
An object is thrown vertically upwards. At its maximum height, which of the following quantity becomes zero?
What is the correct syllable division of the word 'indomitable'?
Angular momentum of the particle rotating with a central force is constant due to

The limiting equivalent conductivity of NaCl, KCl, and KBr are \( 126.5 \), \( 150.0 \), and \( 151.5 \) S cm\(^2\) eq\(^{-1}\), respectively. The limiting equivalent ionic conductivity for Br\(^{-}\) is \( 78 \) S cm\(^2\) eq\(^{-1}\). The limiting equivalent ionic conductivity for Na\(^+\) ions would be:

Assuming fully decomposed, the volume of \( {CO}_2 \) released will be:

In the circuit shown in the figure, the total charge is \( 750 \, \mu C \) and the voltage across capacitor \( C_2 \) is \( 20 \, {V} \). Then the charge on capacitor \( C_2 \) is:
 

A current \( I \) flows along the length of an infinitely long, straight, thin-walled pipe. Then:
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:
Bauxite ore is generally contaminated with impurity of oxides of two elements X and Y. Which of the following statement is correct?
The order of increasing sizes of atomic radii among the elements O, S, Se, and As is:
Boric acid is polymeric due to:
An electron moving with speed \( v \) and a photon with speed \( c \), have the same de-Broglie wavelength. The ratio of kinetic energy of the electron to that of the photon is:

Read the following passage and the question below. Choose the correct answer. 
Gandhi never contented himself with large political or economic solutions. He saw the cultural and social backwardness in the Champaran villages and wanted to do something about it immediately. He appealed to teachers. 
Which of the following statements is true about the passage?

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:
Lyophilic sols are more stable than lyophobic sols because:
If two soap bubbles of different radii are connected by a tube:
Carboxylic acids are more acidic than phenol and alcohol because of:
If \( E \) and \( H \) represent the intensity of electric field and magnetizing field respectively, then the unit of \( \frac{E}{H} \) will be: