Atoms And Nuclei Question 120

Question: The de-Broglie wavelength of an electron in the first Bohr orbit is [KCET 2002]

Options:

A) Equal to one fourth the circumference of the first orbit

B) Equal to half the circumference of the first orbit

C) Equal to twice the circumference of the first orbit

D) Equal to the circumference of the first orbit

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Answer:

Correct Answer: D

Solution:

mvrn=nh2πprn=nh2πhλ×rn=nh2π
λ=2πrnn, for first orbit n=1 so λ=2πr1 = circumference of first orbit



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