Question

Which of the following sets of quantum numbers represent an impossible arrangement - n l m s

1 point

3 2 -2 (+)1/2

4 0 0 (-)1/2

3 2 -3 (+)1/2

5 3 0 (-)1/2

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Answer 1

Answer:

First scientist to discover a spectral series of hydrogen atom

It consist of visible radiation spectrum

Experimentally, he found that these spectral lines could be expressed mathematically in the form of wavelength as:

Here R= Rhydberg constant = 109677cm-1(found experimentally), n= 3, 4, 5…… (higher discrete energy state from which electron jumps to 2nd energy state thus emitting radiation)

λ = wavelength of emitted radiation in (cm)

For maximum wavelength(λmax) in the Balmer series, n=3 (has to be minimum):

For minimum wavelength (λmin) in the Balmer series, n=∞(has to be minimum):

Lyman Series:

Spectral series when radiation emitted is due to jumping of electron from higher energy states to ground state

Mathematically expressed as

Here n= 2, 3, 4…

For maximum wavelength in the Lyman series, n=2 (has to be minimum):

λmax = 4/3R

For minimum wavelength in the Lyman series, n=∞(has to be minimum):

λmin = 1/R

Similarly, all other series could be expressed as:

Paschen Series:

Mathematically expressed as

Here n= 4, 5, 6…

Bracket Series:

Mathematically expressed as

Here n= 5, 6, 7…

PfundSeries:

Mathematically expressed as

Here n= 6, 7, 8…