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Question

Which of the following suggested de-Broglie wavelength(s) is/ are possible for electron in a Bohr orbit of hydrogen atom?

A
19.92 A
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B
9.96 A
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C
4.98 A
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D
3.32 A
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Solution

The correct option is C 3.32 A
By De-Broglie Equation, λ=hmv.....(1)
Planks Constant, h=6.626×1034Js
mass of electron, m=9.1×1031Js
velocity of electron in first orbit of hydrogen atom, v=2.18×106m/s
mv=9.1×1031×2.18×106m/s=1.9838×1024m/s
putting values in equation 1,
λ=6.626×10341.9838×1024=3.3400×1010m=3.3400A
Conclusion= hence the option (C) is correct.


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