A particular nucleus of the element plutonium contains 94 protons and 150 neutrons.What is the magnitude of the force from the nucleus on a single electron that is at a distance of 0.563 $\times$ 10^-12 m from the plutonium nucleus? A)4.27 $\times$ 10¹⁵ N B)3.85 $\times$ 10^-14 N C)6.83 $\times$ 10^-2 N D)6.42 N E)1.09 $\times$ 10^-1 N

Question

Quizplus · Accepted Answer

We can use Coulomb's law to find the force from the nucleus on a single electron:

F = (k * q1 * q2) / r^2

where k is the Coulomb constant, q1 and q2 are the charges of the nucleus and electron respectively, and r is the distance between them.

First, we need to find the charge of the nucleus, which is equal to the number of protons (since the nucleus is electrically neutral overall). So, q1 = 94 * 1.6 x 10^-19 C.

Next, we need to find the distance between the nucleus and electron, which is given as 0.563 x 10^-12 m.

Finally, we can plug in the values:

F = (9 x 10^9 N*m^2/C^2) * (94 * 1.6 x 10^-19 C) * (1 * 1.6 x 10^-19 C) / (0.563 x 10^-12 m)^2

F = 6.83 x 10^-12 N

Therefore, the best choice is C.

A Particular Nucleus of the Element Plutonium Contains 94 Protons ×\times×

A Particular Nucleus of the Element Plutonium Contains 94 Protons $\times$