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.)
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Hey Dear,
◆ Answer -
n = 2.559×10^74
● Explaination -
# Given -
m = 6×10^24 kg
v = 3×10^4 m/s
r = 1.5×10^11 m
# Solution -
In accordance with the Bohr's model,
mvr = nh/2π
Rearranging it, we will get -
n = 2πmvr/h
n = 2 × 3.142 × 6×10^24 × 3×10^4 × 1.5×10^11 / 6.63×10^-34
n = 2.559×10^74
Therefore, quantum number associated with earth's revolution is 2.559×10^74 .
Thanks dear. Hope that helps you..
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