It is found that if a neutron suffers an elastic collinear collision with deuterium at rest, fractional loss of its energy is $p_d $ ; while for its similar collision with carbon nucleus at rest, fractional loss of energy is $P_c$. The values of $P_d$ and $P_c$ are respectively
A bullet of $10\, {g}$, moving with velocity $v$, collides head-on with the stationary bob of a pendulum and recoils with velocity $100 \, {m} / {s}$. The length of the pendulum is $0.5\, {m}$ and mass of the bob is $1\, {kg}$. The minimum value of $v=$ $....{m} / {s}$ so that the pendulum describes a circle. (Assume the string to be inextensible and ${g}=10\, {m} / {s}^{2}$ )
A ball of mass $10\, kg$ is moving with a velocity of $10\, m/s$. It strikes another ball of mass $5\, kg $ which is moving in the same direction with a velocity of $4 \,m/s$. If the collision is elastic, their velocities after the collision will be, respectively
A sphere $P$ of mass $m$ and moving with velocity $v$ undergoes an oblique and perfectly elastic collision with an identical sphere $Q$ initially at rest. The angle $\theta $ between the velocities of the spheres after the collision shall be ............... $^o$
A truck moving on horizontal road towards east with velocity $20\, ms^{-1}$ collides elastically with a light ball moving with velocity $25\, ms^{-1}$ along west. The velocity of the ball just after collision