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According to Bohr's model of the atom, ...

According to Bohr's model of the atom, an electron can revolve around the atomic nucleus in a suitable orbit without emitting energy if its orbit

A

is a perfect circle

B

is a circle with a large radius

C

houses a whole number of de-Broglie waves

D

houses odd number of de-Broglie waves.

Text Solution

Verified by Experts

The correct Answer is:
C
According to Bohr `mvr = (nh)/(2pi)` ...(i)
According to de-Broglie `lambda = (h)/(mv)` ...(ii)
Now from (i) `2pi r = (nh)/(mv) = n lambda`, where n is whole number. Thus, circumference or orbit `(2pi r)` must accommodate whole number wavelengths.
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