AIEEE 2008 PYQ Mock Test

A body of mass $m=3.513\text{kg}$ is moving along the $x$ -axis with a speed of $5.00\text{m/s}$. The magnitude of its momentum is recorded as:

An athlete in the olympic games covers a distance of $100\text{m}$ in $10\text{s}$. His kinetic energy can be estimated to be in the range:

A parallel plate capacitor with air between the plates has a capacitance of $9\text{pF}$. The separation between its plates is ‘$d$ ’. The space between the plates is now filled with two dielectrics. One has $k_1=3$ and thickness $d/3$ while the other has $k_2=6$ and thickness $2d/3$. Capacitance of the capacitor is now:

Statement - 1: Energy is released when heavy nuclei undergo fission or light nuclei undergo fusion.Statement - 2: For heavy nuclei, binding energy per nucleon increases with increasing $Z$ while for light nuclei it decreases with increasing $Z$.

Statement - 1: For a mass $M$ kept at the centre of a cube of side ‘$a$ ’, the flux of gravitational field passing through its sides is $4\pi GM$.Statement - 2: If the direction of a field due to a point source is radial and its dependence on the distance ‘$r$ ’ for the source is given as $1/r^2$, its flux through a closed surface depends only on the strength of the source enclosed and not on the size or shape of the surface.