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Question

An electron in a Bohr orbit of hydrogen atom with the quantum number n2 has an angular momentum 4.2176×1034 kg m2s1. If electron drops from this level to the next level. Find the wavelength of this line?

A
18.75×107 m
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B
1.87×107 m
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C
187.5×107 m
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D
0.188×107 m
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Solution

The correct option is D 0.188×107 m
According to Bohr's atomic model
mvr = nh/2 π
4.2176×1034=n2×6.62×10342×3.14
n2=4
So, if n2 = 4, electrons is deexcited, so n1 = 3
1λ=RZ2×[132142]
where Z = Atomic number
On solving, λ=18.787×107 m

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