The nuclei of large atoms, such as uranium, with 92 protons, can be modeled as s

Question

The nuclei of large atoms, such as uranium, with 92 protons, can be modeled as spherically symmetric spheres of charge. The radius of the uranium nucleus is approximately 7.4 × 10- n Part A What is the electric field this nucleus produces just outside its surface? Express your answer using two significant figures. E=110.63 | N/C Submit Request Answer Incorrect; Try Again Part B What magnitude of electric field does it produce at the distance of the electrons, which is about l. I ×10-10 m ? Express your answer using two significant figures. N/C

Explanation / Answer

Given

charge of nucleus Q = 92 * (charge of one proton)

Q = 92 * 1.6 * 10^-19 C

Q = 138 * 10^-19 C

The radius of nucleus r = 7.4 * 10^-15 m

part A

The electric field on the surface of a charged sphere is

E = k * Q / r^2

E = (9*10^9 * 138 * 10^-19) / (7.4 * 10^-15)^2

E = 2.268 * 10^21   N/C

part B

We have Q = 138 * 10^-19 C

r = 1.1 * 10^-10 m

the electric field is

E = k * Q / r^2

E = (9*10^9 * 138 * 10^-19) / (1.1 * 10^-10)^2

E = 1.02 * 10^13   N/C

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