List of top Questions asked in VITEEE

In Young's double slit experiment, the \(10^{th}\) maximum of wavelength \(\lambda_1\) is at a distance \(y_1\) from the central maximum. When the wavelength of the source is changed to \(\lambda_2\), the \(5^{th}\) maximum is at a distance of \(y_2\) from the central maximum. The ratio \(\left(\dfrac{y_1}{y_2}\right)\) is

The displacement of a particle executing SHM is given by \(y = 5\sin\left(4t + \frac{\pi}{3}\right)\). If \(T\) is the time period and the mass of the particle is \(2g\), the kinetic energy of the particle when \(t = \frac{T}{4}\) is given by

If the ratio of lengths, radii and Young's modulus of steel and brass wires shown in the figure are \(a\), \(b\) and \(c\) respectively, then the ratio between the increase in lengths of brass and steel wires would be

A soap bubble of radius \(r\) is blown up to form a bubble of radius \(2r\) under isothermal conditions. If \(T\) is the surface tension of soap solution, then energy spent in blowing the bubble is

Eight spherical raindrops of same mass and radius are falling down with a terminal speed of \(6\,cm\,s^{-1}\). If they coalesce to form one big drop, what will be the terminal speed of bigger drop? (Neglect buoyancy of air)

A clock pendulum made of invar has a period of \(0.5\,s\) at \(20^\circ C\). If the clock is used in a place where temperature averages to \(30^\circ C\), how much time does the clock lose in each oscillation? (For invar, \(\alpha = 9 \times 10^{-7}/^\circ C\), \(g =\) constant)

A piece of metal weighs \(45\,g\) in air and \(25\,g\) in a liquid of density \(1.5 \times 10^3\,kg\,m^{-3}\) kept at \(30^\circ C\). When the temperature of the liquid is raised to \(40^\circ C\), the metal piece weighs \(27\,g\) in the density of liquid at \(40^\circ C\) is \(1.25 \times 10^3\,kg\,m^{-3}\). The coefficient of linear expansion of metal is

An ideal gas is subjected to a cyclic process ABCD as depicted in the \(P-V\) diagram given below.

When a wave traverses a medium the displacement of a particle located at \(x\) at a time \(t\) is given by \(y = a \sin (bt - cx)\). Where \(a\), \(b\) and \(c\) are constants of the wave. Which of the following is a quantity with dimensions?

A body is projected vertically upwards at time \(t = 0\) and it is seen at a height \(H\) at time \(t_1\) and \(t_2\) second during its flight. The maximum height attained is (acceleration due to gravity = \(g\))

A particle is projected up from a point at an angle \(\theta\) with the horizontal direction. At any time \(t\), if \(p\) is the linear momentum, \(y\) is the vertical displacement, \(x\) is horizontal displacement, the graph among the following which does not represent the variation of kinetic energy \(KE\) of the particle is

A motor of power \(P_0\) is used to deliver water at a certain rate through a given horizontal pipe. To increase the rate of flow of water through the same pipe \(n\) times, the power of the motor is increased to \(P_1\). The ratio of \(P_1\) to \(P_0\) is

A body of mass \(5\,kg\) makes an elastic collision with another body at rest and continues to move in the original direction after collision with a velocity equal to \(\dfrac{1}{10}\)th of its original velocity. Then the mass of the second body is

A particle of mass \(4m\) explodes into three pieces of masses \(m\), \(m\), and \(2m\). The equal masses move along X-axis and Y-axis with velocities \(4\,m\,s^{-1}\) and \(6\,m\,s^{-1}\) respectively. The magnitude of velocity of the heavier mass is

A body is projected vertically upwards from the surface of the earth with a velocity equal to half the escape velocity. If \(R\) is the radius of the earth, the maximum height attained by the body from the surface of the earth is

The number of subsets of $\{1, 2, 3, ..., 9\} $containing at least one odd number is

If $X$ is a binomial variate with the range $\{0,1,2,3,4,5,6\}$ and $ P(X=2)=4 P(X=4)$ then the parameter $p$ of $X$ is

The chemical entities present in thermosphere of the atmosphere are

Dipole moment of $HCl =1.03\, D , HI =0.38 \,D$. Bond length of $HCl =1.3\,�$and $HI =1.6 \,�$. The ratio of fraction of electric charge, $\delta$, existing on each atom in $HCl$ and $HI$ is

$K, Rb$ and $Cs$ form superoxides. The stability of the superoxides increases from '$K$' to '$Cs$' due to decrease in lattice energy. The correct answer is

For the following cell reaction $Ag \left| Ag ^{+}\right| AgCl \left| Cl ^{\ominus}\right| Cl _{2}, Pt$ $\Delta G ^{\circ} f ( AgCl )=-109\, kJ / mol$ $\Delta G ^{\circ} f \left( Cl ^{-}\right)=-129\, kJ / mol$ $\Delta G ^{\circ} f \left( Ag ^{+}\right) 78 \,kJ / mol$ $E ^{\circ}$ of the cell is

Which one of the following order is correct for the first ionisation energies of the elements?

How many ' $mL$' of perhydrol is required to produce sufficient oxygen which can be used to completely convert $2 \,L$ of $SO _{2}$ gas to $SO _{3}$ gas?

$pH$ of a buffer solution decreases by $0.02$ units when $0.12\,g$ of acetic acid is added to $250\, mL$ of a buffer solution of acetic acid and potassium acetate at $27^{\circ} C$. The buffer capacity of the solution is