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

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

Step-by-step 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 =
`(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 =
`(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