What is the formula for the relationship between a small solid sphere inside a shell?

1) [tex]F = ma[/tex]

2) [tex]F = mg[/tex]

3) [tex]F = kx[/tex]

4) [tex]F = \frac{kq_1q_2}{r^2}[/tex]

Question

21-09-2023
Physics

High School

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What is the formula for the relationship between a small solid sphere inside a shell?

1) [tex]F = ma[/tex]

2) [tex]F = mg[/tex]

3) [tex]F = kx[/tex]

4) [tex]F = \frac{kq_1q_2}{r^2}[/tex]

Answer :

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Tanzila276Gouri Tanzila276Gouri · Answer 1 · 2025-02-03T10:30:06-05:00

Final answer:

The relationship between a solid sphere and a shell in the context of an atom can be described by Coulomb's Law with the formula F = kq1q2/r², with F being the force, q1 and q2 being the charges, r the distance between them, and k the Coulomb's constant.

Explanation:

The relationship between a small solid sphere inside a shell, such as an electron orbiting a nucleus, can be described using Coulomb's Law. The formula for Coulomb's Law is F = kq1q2/r², where F is the electrical force between two charges, q1 and q2 are the magnitudes of the charges, r is the distance between the charges, and k is Coulomb's constant.

When applying this to an atomic model, such as the planetary model of an atom, the centripetal force causing the electron to orbit is provided by the Coulomb force between the negatively charged electron and the positively charged nucleus. Therefore, the Coulomb force, with magnitude k(Zqe)(de)/re², is assumed to be equal to the centripetal force, which is m2v²/re for a given orbit.

Deriving the radius of an orbital would involve equating the Coulomb force, which acts as the centripetal force, with the expression for circular motion. The exact method will depend on further conditions, such as the quantization of angular momentum and other quantum mechanics principles.

What is the formula for the relationship between a small solid sphere inside a shell?1) [tex]F = ma[/tex]2) [tex]F = mg[/tex]3) [tex]F = kx[/tex]4) [tex]F = \frac{kq_1q_2}{r^2}[/tex]

Answer :

Final answer:

Explanation:

Other Questions

What is the formula for the relationship between a small solid sphere inside a shell?

1) [tex]F = ma[/tex]

2) [tex]F = mg[/tex]

3) [tex]F = kx[/tex]

4) [tex]F = \frac{kq_1q_2}{r^2}[/tex]