22 a ground state hydrogen atom absorbs a photon of light...

-22. A ground-state hydrogen atom absorbs a photon of light that has a wavelength of 97.2 nm. It then gives off a photon that has a wavelength of 486 nm. What is the final state of the hydrogen atom?

Transcript

00:01 Hi everyone in order to tackle that's problem you try to give it up first now what's the given you know they gave lambda absorb that is 97 .2 nanometer 1 nanometer is equal to 10 x2 minus 9 meter and therefore 97 .2 into 10x2 minus 9 meter that is equal to 90 you know one meter is equal to 100 centimeter and therefore 97 .2 into 10 10x2 minus 7 centimeter similarly lambda of ametret that is equal to 486 nanometer now once again 1 nanometer is equal 10 to minus 9 and that's where this becomes 486 into 10 to minus 9 meter now one meter is equal to 100 centimeter and therefore this becomes 486 into 10 dash to minus 9 into 10 dash to 2 nothing but 10 minus 7 centimeter now what say they ask is you know energy they ask that is energy of initial and excited state difference in energy of a final state and ground state they ask similarly they ask n2 that is let us imagine n2 is the final energy level and the n1 is the initial energy level then you know in hidden way we know you have to take edge as a blanks constant although it's not given you have to consider 6 .626 into 10 - minus 34 34 jule second the velocity or speed of light 2nd 2 .998 into 10 meter per second now you know a part that is we know that we know that e is equal to hc upon lambda now we'll modify this equation that is e of final minus e of ground that is equal to let's see 1 upon lambda absorb minus 1 upon lambda emitted that is equal 6 .626 into 10 dash to minus 34 into velocity of light 2 .998 into 10 dash to 10 centimeter into 10 .000.

03:59 Meter inside bracket 1 upon 97 point 203 into 10 -2 minus 7 minus 1 upon 400 8 x into 10 -2 minus 7 and therefore this is equal to 90 point if we multiply 6 .626 into 2 .9988 8 you get 19 .8 each 117 4.

04:54 Then if you subtract 4 8 into you can say 10 to minus 24 into if we do this 486 into 10 to minus 7 minus 97 .20 into 10ish minus 7 and this comes 388 .8...

Question

-22. A ground-state hydrogen atom absorbs a photon of light that has a wavelength of 97.2 nm. It then gives off a photon that has a wavelength of 486 nm. What is the final state of the hydrogen atom?

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