Question

In accordance with the Bohr’s model, find the quantum number that characterises the earth’s revolution around the sun in an orbit of radius 1.5 × 10¹¹ m with orbital speed 3× 10⁴ m/s. (Mass of earth = 6.0 × 10²⁴ kg.)

Answer 1

Radius of the orbit of the Earth around the Sun, r = 1.5 × 10¹¹ m
Orbital speed of the Earth, ν = 3 × 10⁴ m/s
Mass of the Earth, m = 6.0 × 10²⁴ kg
According to Bohr’s model, angular momentum is quantized and given as:

Where,
h = Planck’s constant = 6.62 × 10⁻³⁴ Js
n = Quantum number

Hence, the quanta number that characterizes the Earth’ revolution is 2.6 × 10⁷⁴.