A particle is moving such that its position coordinates $(x, y)$ are:$\newline (2m, 3m)$ at time $t = 0, \newline (6m,7m)$ at time $t = 2s \newline$and$\newline (13m, 14m)$ at time $t = 5s. \newline$Average velocity vector ($\vec{v}_{av}$) from $t = 0$ to $t = 5s$ 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 $m_3$ hangs freely and $m_1$ and $m_2$ are on a rough horizontal table (the coefficient of friction $\mu).$ The pulley is frictionless and of negligible mass. The downward acceleration of mass $m_3$ 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. The change in momentum of the particle over the time interval from zero to 8 s is

Equal masses of $H_2, O_2$ and methane have been taken in a container of volume $V$ at temperature $27^{\circ}C$ in identical conditions. The ratio of the volumes of gases $H_2:O_2:$methane would be

If $a$ is the length of the side of a cube, the distance between the body centered atom and one corner atom in the cube will be

Which property of colloids is not dependent on the charge of colloidal particles?