An carly modcl of the atom, proposed by Rutherford after his discovery of the atomic nucleus, had a positive point charge +Ze (the nuclcus) at the center of a sphere of radius R with uniformly distributed negative charge -Ze. Z is the atomic number, the number of protons in the nucleus and the number of clectrons in the negative sphere. (a) Show that the clectric ficld inside this atom is (÷) Ze 1 Ein 4T€0 R3 (b) What is E at the surface of the atom? Is this the expected valuc? Explain. (c) A uranium atom has Z = 92 and R = 0.10 nm. What is the clectric ficld strength at r = R? %3D
An carly modcl of the atom, proposed by Rutherford after his discovery of the atomic nucleus, had a positive point charge +Ze (the nuclcus) at the center of a sphere of radius R with uniformly distributed negative charge -Ze. Z is the atomic number, the number of protons in the nucleus and the number of clectrons in the negative sphere. (a) Show that the clectric ficld inside this atom is (÷) Ze 1 Ein 4T€0 R3 (b) What is E at the surface of the atom? Is this the expected valuc? Explain. (c) A uranium atom has Z = 92 and R = 0.10 nm. What is the clectric ficld strength at r = R? %3D
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![An carly model of the atom, proposed by Rutherford after his discovery of the atomic
nucleus, had a positive point charge +Ze (the nucleus) at the center of a sphere of
radius R with uniformly distributed negative charge -Ze. Z is the atomic number, the
number of protons in the nucleus and the number of clectrons in the negative sphere.
(a) Show that the clectric ficld inside this atom is
Ze
Ein =
1
r2
R3
(b) What is E at the surface of the atom? Is this the expected value? Explain.
(c) A uranium atom has Z
92 and R = 0.10 nm. What is the clectric ficld strength
%3D
at r =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F153bfb9c-b05e-4b91-94e3-9e151aaf7f28%2F7dc920e2-e807-47ff-a7ba-7f5f4c69b64b%2F5fmwtvh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:An carly model of the atom, proposed by Rutherford after his discovery of the atomic
nucleus, had a positive point charge +Ze (the nucleus) at the center of a sphere of
radius R with uniformly distributed negative charge -Ze. Z is the atomic number, the
number of protons in the nucleus and the number of clectrons in the negative sphere.
(a) Show that the clectric ficld inside this atom is
Ze
Ein =
1
r2
R3
(b) What is E at the surface of the atom? Is this the expected value? Explain.
(c) A uranium atom has Z
92 and R = 0.10 nm. What is the clectric ficld strength
%3D
at r =
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