AIPMT NEET 2014 Mock Test

If force ($F$), velocity ($V$) and time ($T$) are taken as fundamental units, then the dimensions of mass are:

A projectile is fired from the surface of the earth with a velocity of $5\text{m/s}$ and angle $\theta$ with the horizontal. Another projectile fired from another planet with a velocity of $3\text{m/s}$ at the same angle follows a trajectory which is identical with the trajectory of the projectile fired from the earth. The value of the acceleration due to gravity on the planet is (in ${\text{m/s}}^2$): (given $g=9.8{\text{m/s}}^2$)

A particle is moving such that its position coordinates $(x,y)$ are $(2\text{m},3\text{m})$ at time $t=0$, $(6\text{m},7\text{m})$ at time $t=2\text{s}$ and $(13\text{m},14\text{m})$ at time $t=5\text{s}$. Average velocity vector $({\vec{V}}_{av})$ from $t=0$ to $t=5\text{s}$ is:

A system consists of three masses $m_1,m_2$ and $m_3$ connected by a string passing over a pulley $P$. The mass $m_1$ hangs freely and $m_2$ and $m_3$ are on a rough horizontal table (the coefficient of friction = $\mu$). The pulley is frictionless and of negligible mass. The downward acceleration of mass $m_1$ is: (Assume $m_1=m_2=m_3=m$)

The force ‘F’ acting on a particle of mass ‘m’ is indicated by the force-time graph shown below. The change in momentum of the particle over the time interval from zero to $8\text{s}$ is: