VITEEE 2025

The velocity of a particle moving in a straight line varies with time in such a manner that $v$ versus $t$ graph is velocity is $v_m$ and the total time of motion is $t_0$

(i) Average velocity of the particle is $\frac{\pi}{4} v_m$
(ii) Su...

The height $y$ and the distance $x$ along the horizontal plane of a projectile on a certain planet (with no surrounding atmosphere) are given by $y=8 t-5 t^2 \mathrm{~m}$ and $x=6 t \mathrm{~m}$, where $t$ is in seconds. The velocity with w...

A ball is projected horizontally with a velocity of $5 \mathrm{~ms}^{-1}$ from the top of a building 19.6 m high. How long will the ball take to hit the ground?

In hydrogen atom, an electron is revolving in the orbit of radius $0.53 \mathop {\rm{A}}\limits^{\rm{o}} $ with $6.6 \times 10^{15} \mathrm{rps}$. Magnetic field produced at the centre of the orbit is

Ratio of powers of a convex and concave lens is $\frac{3}{2}$ and their equivalent focal length (when lenses are kept in constant) is 30 cm . Focal lengths of lenses are

If the rotational kinetic energy of a body is increased by $300 \%$, then the percentage increase in its angular momentum will be

To get an output 1 from the circuit shown in the figure, the input must be

The displacement from mean position of a particle in SHM at 3 s is $\frac{\sqrt{3}}{2}$ of the amplitude, then its time period is

A steel wire of mass 4 g and length 80 cm is fixed at the two ends. The tension in the wire is 50 N , then the frequency of fourth harmonic is

A body of mass $M$ is moving with a uniform speed of $10 \mathrm{~m} / \mathrm{s}$ on frictionless surface under the influence of two forces $F_1$ and $F_2$. The net power of the system is