List of top Questions asked in VITEEE- 2019

In Young's double slit experiment, the central point on the screen is
Two thin lenses are in contact and the focal length of the combination is $80\, cm$. If the focal length of one lens is $20 \,cm$, then the power of the other lens will be
A person swims in a river aiming to reach exactly on the opposite point on the bank of a river. His speed of swimming is $0.5\, m/s$ at an angle of $120^?$ with the direction of flow of water. The speed of water is
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