Question

The Bohr model pictures a hydrogen atom in its ground state as a proton and an electron separated by the distance a0 = 0.529 × 10−10 m. The electric potential created by the electron at the position of the proton is

Answer 1

The electric potential created by the electron at the position of the proton in the Bohr model of the hydrogen atom is -13.6 V.

Step-by-step explanation:

In the Bohr model of the hydrogen atom, the electric potential created by the electron at the position of the proton can be calculated using the equation:

V = k(Q/r)

• V is the electric potential
• k is the Coulomb constant (9 x 10^9 Nm^2/C^2)
• Q is the charge of the electron (-1.6 x 10^-19 C)
• r is the distance between the electron and the proton (0.529 x 10^-10 m)

Plugging in these values, we can calculate the electric potential:

V = (9 x 10^9 Nm^2/C^2) * (-1.6 x 10^-19 C) / (0.529 x 10^-10 m) = -13.6 V

Answer 2

E = -8.23 ​​10⁻¹⁷ N / C

Step-by-step explanation:

In the Bohr model, the electric potential for the ground state corresponding to the Bohr orbit is

E = k q₁ q₂ / r²

in this case

q₁ is the charge of the proton and q₂ the charge of the electron

E = - k e² / a₀²

let's calculate

E = - 9 10⁹ (1.6 10⁻¹⁹)² / (0.529 10⁻¹⁰)²

E = -8.23 ​​10⁻¹⁷ N / C