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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rαdíuѕ σf thє σrвít σf thє єαrth αrσund thє ѕun,
r = 1.5 × 1011 m
σrвítαl ѕpєєd σf thє єαrth,
ν = 3 × 104 m/ѕ
mαѕѕ σf thє єαrth,
m = 6.0 × 1024 kg
αccσrdíng tσ вσhr’ѕ mσdєl, αngulαr mσmєntum íѕ quαntízєd αnd gívєn αѕ:
mvr = nh/2π
whєrє,
h = plαnck’ѕ cσnѕtαnt = 6.62 × 10−34 jѕ
n = quαntum numвєr
∴ n = mvr2π/h
= (2πх6х1024х3х104х1.5х1011)/(6.62х10-34)
= 25.61х1073 = 2.6 х 1074
hєncє, thє quαntα numвєr thαt chαrαctєrízєѕ thє єαrth’ rєvσlutíσn íѕ 2.6 × 1074 .
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oooh thats great...fine
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