List of top Questions asked in VITEEE

The Young?? modulus of a perfectly rigid body is
An electric dipole is kept in a uniform electric field. It experiences
A mass of $0.5\, kg$ moving with a speed of $1.5\, m/ s$ on a horizontal smooth surface, collides with a nearly weightless spring of force constant $k = 50\, N/m$. The maximum compression of the spring would be
If the differential equation for a simple harmonic motion is $\frac{d^{2}y}{dt^{2}}+2y=0,$ the time-period of the motion is
The magnetic field at a distance r from a long wire carrying current i is 0.4 tesla. The magnetic field at a distance 2r is
A rain drop of radius $0.3\, mm$ has a terminal velocity in air is $1\, m/s$. The viscosity of air is $8 \times 10^{-5}$ poise. The viscous force on it is
A hollow sphere and a solid sphere, of equal mass and equal radii roll down without slipping on an inclined plane. If the torque experienced by the hollow sphere and solid sphere are $\tau_H$ and $\tau_S$ respectively, then
A circle has radius 3 and its centre lies on the line $y = x -1$ . The equation of the circle, if it passes through $(7, 3)$, is
If $\left(\vec{a}\times\vec{b}\right)^{2}+\left(\vec{a}.\vec{b}\right)^{2}=676$ and $\left|\vec{b}\right|=2,$ then $\left|\vec{a}\right|$ is equal to
The system of linear equations : $x + y + z = 0, 2x + y - z = 0, 3x + 2y = 0$ has :
The area under the curve $y = | cos\, x - sin \,x |, 0 \le x\le\frac{\pi}{2}$, and above x-axis is :
If vector equation of the line$\frac{x-2}{2}=\frac{2y-5}{-3}=z+1,$ is $\vec{r}=\left(2\hat{i}+\frac{5}{2} \hat{j}-\hat{k}\right)+\lambda\left(2\hat{i}-\frac{3}{2} \hat{j}+p\hat{k}\right)$ then $p$ is equal to
At how many points between the interval $ \left(-\infty, \infty\right)$ is the function $f (x) = sin\, x$ is not differentiable.
The position vector of $A$ and $B$ are $ 2\hat{i}+2\hat{j}+\hat{k}$ and $2\hat{i}+4\hat{j}+4\hat{k}$ The length of the internal bisector of $?BOA$ triangle $AOB$ is
Let $a, b, c, be$ in $A.P.$ with a common difference $d.$ Then $e^{1/e}, e^{b/bc}, e^{1/a}$ are in :
Six identical coins are arranged in a row. The number of ways in which the number of tails is equal to the number of heads is
If sin y = x sin (a + y), then  dydxis
A metal ring is held horizontally and bar magnet is dropped through the ring with its length along the axis of the ring. The acceleration of the falling magnet
For which one of the following systems at equilibrium, at constant temperature will the doubling of die volume cause a shift to the right?
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)}$
Which of the following compounds is formed when a mixture of $K_2Cr_2O_7$ and NaCl is heated with cone. $H_2SO_4$ ?
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 a common emitter transistor amplifier $\beta = 60, \,R_o = 5000\, \Omega$ and internal resistance of a transistor is $500 \,\Omega$Voltage amplification. The voltage amplification of amplifier will be
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 -
If A and B are events such that P(A) = 0.42, P(B) = 0.48 and P(A and B) = 0.16. then, I. P(not A) = 0.58 II. P(not B) = 0.52 III. P(A or B) = 0.47