Question

g suppose he used an alpha particle with an energy of 8.3 MeV, what would be the speed of this alpha particle

Answer 1

Answer:

speed of the alpha particle is 2 x 10^7 m/s.

Explanation:

energy of alpha particle = 8.3 Mev

1 Mev = 1.602 x 10^-13 J

8.3 Mev = $x$

solving, $x$ = 8.3 x 1.602 x 10^-13 = 1.329 x 10^-12 J

mass of a alpha particle = 6.645 x 10^−27 kg

The energy of the alpha particle is the kinetic energy KE of the alpha particle

KE = $\frac{1}{2}mv^{2}$

where m is the mass of the alpha particle

v is  the velocity of the alpha particle

substituting values, we have

1.329 x 10^-12 = $\frac{1}{2}*6.645*10^{-27}*v^{2}$

$v^{2}$ = 4 x 10^14

$v = \sqrt{4*10^{14} }$ = 2 x 10^7 m/s