Question

In a simple model of the hydrogen atom, the electron revolves in a circular orbit around the proton with a speed of 2.2×10⁶ m/s. What is the centripetal force acting on the electron?

1) 4.84×10⁻¹⁹ N
2) 1.21×10⁻¹⁸ N
3) 2.42×10⁻¹⁸ N
4) 3.63×10⁻¹⁸ N

Answer 1

The centripetal force acting on the electron in a simple model of the hydrogen atom can be calculated using the formula Fc = m * v^2 / r. Plugging in the given values, the centripetal force is found to be 1.21 * 10^-18 N.

Step-by-step explanation:

The centripetal force acting on the electron can be calculated using the formula:

Fc = m * v2 / r

Where Fc is the centripetal force, m is the mass of the electron, v is the velocity of the electron, and r is the radius of the orbit. Plugging in the given values:

m = 9.11 * 10-31 kg

v = 2.2 * 106 m/s

r = 5.28 * 10-11 m

we can calculate the centripetal force:

Fc = (9.11 * 10-31 kg) * (2.2 * 106 m/s)2 / (5.28 * 10-11 m)

Fc = 1.21 * 10-18 N

Therefore, the centripetal force acting on the electron is 1.21 * 10-18 N, which corresponds to option 2 in the given choices.