Physics

Problem

A nucleus

X

, initially at rest, undergoes alpha decay according to the equation,

{}_{92}^{A}X \to {}_{Z}^{228}Y + \alpha

Given that:

m(Y) = 228.03 \text{ u}

;

m\left({}_0^1n\right) = 1.009 \text{ u}

;

m\left({}_2^4\text{He}\right) = 4.003 \text{ u}

;

m\left({}_1^1\text{H}\right) = 1.008 \text{ u}

. a. Find the values of

A

and

Z

in the above process. b. The alpha particle produced in the above process is found to move in a circular track of radius

0.11 \text{ m}

in a uniform magnetic field of

3 \text{ Tesla}

. Find the energy (In MeV) released during the process and the binding energy of the parent nucleus

X