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Question
The De-Broglie wavelength of electron in the third Bohr orbit of hydrogen is ______ × 10-11 m (given radius of first Bohr orbit is 5.3 × 10-11 m):
Options
55.90
77.90
99.90
22.90
MCQ
Fill in the Blanks
Solution
The De-Broglie wavelength of electron in the third Bohr orbit of hydrogen is 99.90 × 10-11 m (given radius of first Bohr orbit is 5.3 × 10-11 m):
Explanation:
r = `"r"_0 "n"^2/"z"`
= 5.3 × 10–11 m × 9
= 47.7 × 10–11 m
∴ 3 × λ = 2π × 47.7 × 10–11
⇒ λ = 99.9 × 10–11 m
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