12.10In accordance with the Bohr’s model, find the quantum number that characterizes 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.)
Hint: In Bohr's model of atom, the angular momentum is quantized. Step 1: Find the relation between the angular momentum and the quantum number.
The radius of the orbit of the Earth around the Sun, r=1.5xm
The orbital speed of the Earth, v = 3 x 104 m/s
Mass of the Earth, m=6.0 x kg
According to Bohr's model, angular momentum is quantized and given as:
h = Planck's constant =
n = Quantum number
Step 2: Find the quantum number corresponding to the earth revolution around the sun.
Hence, the quantum number that characterizes the Earth's revolution is .