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Ask iit jee aieee pet cbse icse state board experts Expert Question: atomic structure
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ayush_2711 (7)

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can you plzz tell me  which formula i am supposed to use in this particular question.
 
find the ratio of radii of hydrogen atom to that of dueterium atom.
    
edison (5111)

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use the Bhor's theory of Hydrogen atom acoording to which
 
Radii of stationaty orbits is given by
 
rn = (0 h2 /  m e2) n2/ meter
 
    = (0.53 x 10-10) n2/
 
Where Z is no. of protons in the nuclei.
 
Total no. of neucleons = 2 for deuterium, but Z = 1
 
and nucleon in hydrogen atom = 1, also Z = 1 for hydrogen atom.

The Scientist does not study nature because it is useful; he studies it because he delights in it, & he delights in it because it is beautiful. If nature were not beautiful, it would not be worth knowing, life would not be worth living. Ofcourse I do not here speak of that beauty that strikes the senses, the beauty of qualities & appearances; not that I undervalue such beauty, far from it, but it has nothing to do with science; I mean that profounder beauty which comes from the harmoniuos order of the parts, & which a pure intelligence can grasp.
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ayush_2711 (7)

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hydrogen and dueterium are isotopes so the value of Z will be same for these two.isn't it?
also can i use the formula of rutherford's model i.e R = 1.33 * 10-13A1/3
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edison (5111)

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Exactly, I have rectified the same. Thank You very much

The Scientist does not study nature because it is useful; he studies it because he delights in it, & he delights in it because it is beautiful. If nature were not beautiful, it would not be worth knowing, life would not be worth living. Ofcourse I do not here speak of that beauty that strikes the senses, the beauty of qualities & appearances; not that I undervalue such beauty, far from it, but it has nothing to do with science; I mean that profounder beauty which comes from the harmoniuos order of the parts, & which a pure intelligence can grasp.
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ayush_2711 (7)

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but sir,
what's the answer? 1:1 or 1:22
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edison (5111)

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The answer should be 1:1.

The Scientist does not study nature because it is useful; he studies it because he delights in it, & he delights in it because it is beautiful. If nature were not beautiful, it would not be worth knowing, life would not be worth living. Ofcourse I do not here speak of that beauty that strikes the senses, the beauty of qualities & appearances; not that I undervalue such beauty, far from it, but it has nothing to do with science; I mean that profounder beauty which comes from the harmoniuos order of the parts, & which a pure intelligence can grasp.
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ayush_2711 (7)

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thankyou.
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kishan12 (309)

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the answer is not 1:1 as the atomic masses of H and D are not same.(apply rutherfords formulae).if iam wrong then plz correct me.
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you_saket (0)

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can you plzz tell me  which formula i am supposed to use in this particular question.
 
find the ratio of radii of hydrogen atom to that of dueterium atom.
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lonelyguy (-2)

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a formulAE IS NOT GOING TO apply there u have to start from the basics as ratio for atm radii in cases of isotopes the one having the more no of nucleons will have the larger radii and in case of same comp but diff E confi as cuin d9 and d10 the confi which is more stable will have the larger radii
if for any further confusions mail me gagar.iitk@gmail.com
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drishti_mishra (4)

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this question's from bahadur(obj.).the answer here is given as 1:1.but i just want to ask one question why can't we use rutherford's formula?it's damn confusing.someone plz... reply!
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titun (1529)

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Hiii,
 
It's simple.
Remember for the same orbit, all isotopes have the same radius.
So, dueterium and hydrogen have the same radii for the same orbit.
 
This can also be shown from the formula
So, cheers !!!!!!!!!!!!!!!!!!!!!!!!!!!

You never know what is enough till you know what is more than enough.

Titun
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drishti_mishra (4)

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if we use r=1.33*10-13A1/3,then we get the answer 1/22
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drishti_mishra (4)

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hi! I would like an expert preferably edison to clarify my doubt.if u want me to send this as a separate question,then let me know.
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