Answer:
Speed of an alpha particle is, [tex]v=2.11\times 10^7\ m/s[/tex]
Explanation:
It is given that,
Kinetic energy of the alpha particles, [tex]E=9.3\ MeV=9.3\times 10^6\ eV[/tex]
Since, [tex]1\ eV=1.6\times 10^{-19}\ J[/tex]
Kinetic energy, [tex]E=1.48\times 10^{-12}\ J[/tex]
We need to find the speed of alpha particle. The kinetic energy os given by :
[tex]E=\dfrac{1}{2}mv^2[/tex]
m is the mass of alpha particle, [tex]m=6.64\times 10^{-27}\ kg[/tex]
[tex]v=\sqrt{\dfrac{2E}{m}}[/tex]
[tex]v=\sqrt{\dfrac{2\times 1.48\times 10^{-12}}{6.64\times 10^{-27}}}[/tex]
v = 21113576.97 m/s
or
[tex]v=2.11\times 10^7\ m/s[/tex]
So, the speed of such an alpha particle is [tex]2.11\times 10^7\ m/s[/tex]. Hence, this is the required solution.
