It is found that if a neutron suffers an elas | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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 $

Vedclass · Accepted Answer

$(0.89, 0.28)$

Vedclass · Answer

(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 $P_c = 0.28$.

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

If $n$ balls hit elastically and normally on a surface per unit time and all balls of mass $m$ are moving with the same velocity $u$, then the force on the surface is ..........

$A$ small particle elastically strikes a fixed smooth sphere of $4 \, cm$ radius,with a speed of $5 \, m/s$. The impact parameter for the collision is $2\sqrt{3} \, cm$. Calculate the angle of deflection of the particle ............... $^o$

$A$ body of mass $m$ moving with velocity $v$ makes a head-on elastic collision with another body of mass $2m$ which is initially at rest. The loss of kinetic energy of the colliding body (mass $m$) is:

What is a head-on collision?

$A$ moving body with mass $m_1$ strikes a stationary mass $m_2$. What should be the ratio $\frac{m_1}{m_2}$ so as to decrease the velocity of the first body by $1.5$ times after the collision?

Vedclass Test Series

Exam Paper Generator

Online Exam Module