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In H-atom if r1 is the radius fo first B...

In H-atom if `r1` is the radius fo first Bohr orbit is x then de-Broglie wavelength of an elecrton in ` 3^(rd)` orbit is :

A

`2pi y`

B

`6pi y`

C

9x

D

`x//3`

Text Solution

Verified by Experts

The correct Answer is:
B
For a particular element, radius of an orbit, `r_(n) prop n^(2)`
where n is the principal quantum number
`:. (r_(1))/(r_(3)) = (1)/(3^(2))`
If `r_(1) = x` then `r_(3) = 9x`
For third shell,
`2pi r_(3) = 3lambda`
`lambda = (2pi r_(3))/(3) = (2pi.9x)/(3) = 6pi x`
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