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dimulka [17.4K]
4 years ago
14

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

Physics
1 answer:
mixas84 [53]4 years ago
4 0

Answer:

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

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} } = <em>2 x 10^7 m/s</em>

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