In Rutherford's famous scattering experiments that ledto the planetary model of the atom, alpha particles (havingcharges of +2e and masses of 6.64 x 10-27 kg) were firedtoward a gold nucleus with charge +79e. An alpha particle, initially very far from the gold nucleus, is fired at 2.00 x 107m/s directly toward the nucleus, as in Figure P16.23. Howclose does the alpha particle get to the gold nucleus beforeturning around? Assume the gold nucleus remains stationary.79ev = 02e+ + +Figure P16.23

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Asked Dec 18, 2019
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In Rutherford's famous scattering experiments that led
to the planetary model of the atom, alpha particles (having
charges of +2e and masses of 6.64 x 10-27 kg) were fired
toward a gold nucleus with charge +79e. An alpha particle,
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In Rutherford's famous scattering experiments that led to the planetary model of the atom, alpha particles (having charges of +2e and masses of 6.64 x 10-27 kg) were fired toward a gold nucleus with charge +79e. An alpha particle,

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initially very far from the gold nucleus, is fired at 2.00 x 107
m/s directly toward the nucleus, as in Figure P16.23. How
close does the alpha particle get to the gold nucleus before
turning around? Assume the gold nucleus remains stationary.
79e
v = 0
2e
+ + +
Figure P16.23
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initially very far from the gold nucleus, is fired at 2.00 x 107 m/s directly toward the nucleus, as in Figure P16.23. How close does the alpha particle get to the gold nucleus before turning around? Assume the gold nucleus remains stationary. 79e v = 0 2e + + + Figure P16.23

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Expert Answer

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When the alpha particle is at very far distance from the gold nucleus, potential energy will be negligible, but have appreciable kinetic energy. As the particle comes closer, kinetic energy decreases and potential energy becomes domina...

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т, ое 1*3D Эmdeus ( 79e)(2e) Нолак (664x10 ke)(2.00х10' m/s)' - (9х10° N-m'/c?)! (1422×10° N · m²/c² )e² 13.28х10-13 kg-m*/s- (1422* 10°N-m?/с) (1.6х10-8 C)" -m² /s² 13.28 x10-kg =171.3 x10-16 m =1.71x10- m -14

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