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An Alpha Particle (A Helium Nucleus, Having Charge +2e+ 2 e

question 30

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An alpha particle (a helium nucleus, having charge +2e+ 2 e and mass 6.64×1027 kg6.64 \times 10 ^ { - 27 } \mathrm {~kg} ) moves head-on at a fixed gold nucleus (having charge +79e+ 79 e ) . If the distance of closest approach is 2.0×1010 m2.0 \times 10 ^ { - 10 } \mathrm {~m} , what was the speed of the alpha particle when it was very far away from the gold? (k=1/4πε0=\left( k = 1 / 4 \pi \varepsilon _ { 0 } = \right. 9.0×109 Nm2/C2,e=1.60×1019C) \left. 9.0 \times 10 ^ { 9 } \mathrm {~N} \cdot \mathrm { m } ^ { 2 } / \mathrm { C } ^ { 2 } , e = 1.60 \times 10 ^ { - 19 } \mathrm { C } \right)

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Definitions:

Dibutyl Ether

An organic compound formed by the dehydration of butanol, used as a solvent and in chemical synthesis.

Atomic Number

The number of protons in the nucleus of an atom, which defines the element's identity.

Mass Number

The total number of protons and neutrons in an atom's nucleus, representing the atom's mass more closely than the atomic number.

Spectral Data

Information obtained from analyzing the spectrum of light absorbed, emitted, or scattered by materials, used in identifying chemical substances.

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