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How many waves are made by electron in o...

How many waves are made by electron in one complete revolution around nucleus in fourth orbit of hydrogen like species.

A

2

B

3

C

4

D

Infinite.

Text Solution

Verified by Experts

The correct Answer is:
C
Circumference of fourth orbit `= 2pi r_(4)`
Angular momentum, `mvr_(4) = (4h)/(2pi) [because n = 4]`
`m v = (4h)/(2pi r_(4))` ...(i)
`lambda = (h)/(mv)`
`mv = (h)/(lambda)` ...(ii)
From (i) and (ii),
`(h)/(lambda) = (4h)/(2pi r_(4))`
`2pi r_(4) = 4 lambda`
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