(D) The fractional loss of kinetic energy $\frac{\Delta K}{K}$ for a particle of mass $m_1$ colliding elastically with a stationary particle of mass $

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(D) The fractional loss of kinetic energy $\frac{\Delta K}{K}$ for a particle of mass $m_1$ colliding elastically with a stationary particle of mass $m_2$ is given by the formula: $\frac{\Delta K}{K} = \frac{4 m_1 m_2}{(m_1 + m_2)^2}$.For a neutron $(m_1 = m)$ colliding with deuterium $(m_2 = 2m)$:$P_d = \frac{4(m)(2m)}{(m + 2m)^2} = \frac{8m^2}{(3m)^2} = \frac{8}{9} \approx 0.89$.For a neutron $(m_1 = m)$ colliding with a carbon nucleus $(m_2 = 12m)$:$P_c = \frac{4(m)(12m)}{(m + 12m)^2} = \frac{48m^2}{(13m)^2} = \frac{48}{169} \approx 0.28$.Thus,the values are $P_d = 0.89$ and $P_c = 0.28$.

Class 11 Physics Work, Energy, Power and Collision Elastic Collision

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It is found that if a neutron suffers an elastic collinear collision with deuterium at rest,the fractional loss of its energy is $P_d$; while for its similar collision with a carbon nucleus at rest,the fractional loss of energy is $P_c$. The values of $P_d$ and $P_c$ are respectively:

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A
$(0.28, 0.89)$
B
$(0, 0)$
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$(0, 1)$
D
$(0.89, 0.28)$

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It is found that if a neutron suffers an elastic collinear collision with deuterium at rest,the fractional loss of its energy is $P_d$; while for its similar collision with a carbon nucleus at rest,the fractional loss of energy is $P_c$. The values of $P_d$ and $P_c$ are respectively:

Similar Questions

$A$ particle of mass $m$ moving with velocity $\vec{v_1}$ undergoes a two-dimensional elastic collision with another particle of mass $m$ at rest. If the particles move with velocities $\vec{v_1}'$ and $\vec{v_2}'$ after the collision,what is the angle between them in degrees?

$A$ body of mass $m$ moving with velocity $v$ collides with a stationary body of mass $2m$. The fraction of kinetic energy lost by the body of mass $m$ is:

$A$ heavy body moving with a velocity $30\, m/s$ and another small object at rest undergo an elastic collision. The latter will move with a velocity of .............. $m/s$.

$A$ ball of mass $m$ is thrown at a wall with speed $v$ at an angle $\theta$ with the normal to the wall. If the coefficient of restitution is $e$,what will be the magnitude and direction of the velocity of the ball after the collision with respect to the wall?

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