Visible Light!

Chemistry Level 4

A sample of H-atoms all in a lower energy level ( n 1 ) ( n1 ) absorb monochromatic light of energy H H e V eV to get excited to a Higher energy ( n 2 ) ( n2 ) , subsecuently the atom emits radiation of 6 6 different photon energies in returning to ground state

Some of these emmited photons have Energy < x e V < x eV , some = x e V = x eV , and some > x e V > x eV .


When an electron in the same H-atom transits from energy level n 2 n2 to n 1 n1 , the colour of the light released is


1. 1. R E D RED

2. 2. V I O L E T VIOLET

3. 3. B L U E G R E E N BLUE-GREEN

4. 4. I N D I G O INDIGO


Enter your answer as sum of respective option numbers

e g : eg: if your answer is 1,2,3,4 then enter 1+2+3+4 = 10.


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This is a part of my set Aniket's Chemistry Challenges (BEST OF JEE - ADVANCED)


The answer is 4.

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1 solution

Aniket Sanghi
Mar 16, 2016

Full que is just a confusion....... main things to focus are....


emmission of 6 diff energies ...this imlies that n2 = 4.......

now since visible light is emmited when it transits fron n2 to n1 ....this implies that n1 = 2.....


possible transitions is 3-2 and 4-2.....hence answer is blue-green and red...

How do we know that 3-2 and 4-2 will give the respective colours?And if you have some list related to it please do share!

Priyanshu Gupta - 5 years, 1 month ago

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TRANSITION COLOUR
9 \rightarrow 2 Ultra Violet
8 \rightarrow 2 Ultra Violet
7 \rightarrow 2 Ultra Violet
6 \rightarrow 2 Violet
5 \rightarrow 2 Violet
4 \rightarrow 2 Blue green (cyan)
3 \rightarrow 2 Red
3 \rightarrow 2 Red
This might help.

Swagat Panda - 4 years, 10 months ago

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Right! One change - 5 to 2 gives indigo ( to be more appropriate ) :)

Also, from 7 to 2 and 8 to 2 and 9 to 2 , I have dbt as I learnt Balmer ones are in visible region

Aniket Sanghi - 4 years, 10 months ago

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@Aniket Sanghi Balmer α, Balmer β, Balmer γ and Balmer δ are the visible ones in the visible range, the rest are in UV range, so when we describe this series in brief along with the others, we say in general that it has wavelengths in the visible range. Check this... Balmer series- Wikipedia

Swagat Panda - 4 years, 10 months ago

I am facing a problem, if 6 different energies are emitted, there should be 6 different spectral lines, and for that the formula ( n 2 n 1 + 1 ) ( n 2 n 1 ) 2 \frac { ({ n }_{ 2 }-{ n }_{ 1 }+1)({ n }_{ 2 }-{ n }_{ 1 }) }{ 2 } gives n 2 = 5 { n }_{ 2 } = 5 . Where am I wrong?

Swagat Panda - 4 years, 10 months ago

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Put n1 = 1 , I think u are putting it something else

Aniket Sanghi - 4 years, 10 months ago

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Okay, now I got it, I was thinking that the question asked all possible wavelengths emitted, but it asks only the ones visible to human eye, so there would be 2 of them as mentioned 4 \rightarrow 2 and 3 \rightarrow 2. Your first statement in solution is true, the whole question is a confusion! :)

Swagat Panda - 4 years, 10 months ago

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