CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

A nucleus with mass number $$220$$ initially at rest emits an $$\alpha \ particle$$. If the $$Q$$ value of the reaction is $$5.5 MeV$$, calculate the kinetic energy of the $$\alpha\ particle$$


A
4.4MeV
loader
B
5.4MeV
loader
C
5.6MeV
loader
D
6.5MeV
loader

Solution

The correct option is B $$5.4 MeV$$
$$ M \rightarrow X+ \alpha$$
$$ E = \cfrac{p^2}{2m}$$
Let Total energy = $$T$$
$$ T = E_{\alpha} + E_{X}$$
$$M = M_{\alpha} + M_{X}$$
$$M_{X}= 216$$
Conservation of momentum
$$ p_{\alpha} = p_{X}$$
$$ m_{\alpha} E_{alpha} = m_XE_X$$
$$E_{\alpha} = \cfrac{m_x}{M}T$$
$$ E_{\alpha} = \cfrac{216}{220} 5.5  = 5.4 MeV$$

Physics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image