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1 Atoic and olcular Physics JEST Q. Th binding nrgy of th hydrogn ato (lctron bound to proton) is.6 V. Th binding nrgy of positroniu (lctron bound to positron) is (a).6 / V (b).6 / 8 V (c).6 8 V (d).6 V.6 Solution: E n n E n. Thus binding nrgy will b V n n JEST Q. A sodiu ato in th first xcitd P stats has a lifti of 6ns for dcaying to th ground S stat. Th wavlngth of th ittd photon is 89 n. Th corrsponding lin width of th transition (in frquncy units) is about (a).7 x 6 Hz (b) x 7 Hz (c) 6. x 7 Hz (d) x 4 Hz Ans.: (c) Solution: Et f 9 t 6 Hz Hz 6. Hz Q. If a proton wr tn tis, th ground stat nrgy of th lctron in a hydrogn ato would b (a) lss (b) or (c) th sa (d) lss, or or qual dpnding on th lctron ass n H.No. 4 D, Ground Floor, Jia Sarai, Nar IIT, Hauz Khas, Nw Dlhi 6 Phon: 6864/ Wbsit: Eail:.physics@gail.co
2 JEST 4 Q4. Th valu of lastic constant for coppr is about N and th atoic spacing is.6 n. What is th aplitud of th vibration of th Cu atos at K as a prcntag of th quilibriu sparation? (a) 4. % (b). % (c). % (d). % 9 Solution: W know that, E A and a.6 For on dinsion, KE. kt and PE. k T E k T B A A n B kt B Now, x of.6n.9n B n x..%.6n Q. Which functional for of potntial bst dscribs th intraction btwn a nutral ato and an ion at larg distancs (i.. uch largr than thir diatrs) (a) V / r (b) V / r r / a (c) V / r (d) V / r Q6. If a proton wr tn tis lightr, thn th ground stat nrgy of th lctron in a hydrogn ato would hav bn (a) Lss (b) or (c) Th sa (d) Dpnds on th lctron ass n n p p p,.4 p H.No. 4 D, Ground Floor, Jia Sarai, Nar IIT, Hauz Khas, Nw Dlhi 6 Phon: 6864/ Wbsit: Eail:.physics@gail.co
3 Q7. If hydrogn ato is bobardd by nrgtic lctrons, it will it (a) K X - rays (b) -rays (c) Nutrons (d) non of th abov Ans.: (d) Q8. A hydrogn ato in its ground stat is collidd with an lctron of kintic nrgy.77 V. Th axiu factor by which th radius of th ato would incras is (a) 7 (b) 8 (c) 49 (d) 64 Ans.: (c).6 V n E.6 V, E.4 V, E. V, E4.8 V, E.4 V E6.777 V, E7.77 V Sinc Elctron hav kintic nrgy.77 V.6.77 V n 7 rn an rn 49a JEST Q9. Th nrgy diffrnc btwn th p and s lvls in Na is. V. Spin-orbit Ans: coupling splits th p lvl, rsulting in two ission lins diffring by 6 A o. Th splitting of th p lvl is approxiatly, (a) V (b).v (c).v (d) V (d) Solution: Th fin structur splitting of Na in ground and xcitd stat is p / p p.v / s s / Th transition p / s/ producs photon of wavlngth and corrsponding 4 photon nrgy is E V H.No. 4 D, Ground Floor, Jia Sarai, Nar IIT, Hauz Khas, Nw Dlhi 6 Phon: 6864/ Wbsit: Eail:.physics@gail.co
4 Th transition p / s/ producs photon of wavlngth and corrsponding 4 photon nrgy is E V.Th sparation btwn p / and p / is 4 4 E E E 4 4 Givn 6A also fin structur splitting is of th ordr of V. Thus and ar approxiatly sa as corrsponds to p s, whras 4 wavlngth corrsponding to p s transition is. A 4 Thus, E V E V Q. Which of th following xcitd stats of a hydrogn ato has th highst lifti? (a) p (b) s (c) s (d) p Solution: p and p ar noral stats. Elctron fro p and p ak transition to ground 9 stat within sc. Elctron in s stat although can not co dirctly to ground stat but it can co to s through p as s p s, whil s is tastabl stat and lctron in s stat can ak transition to s slowly. Thus s has long lif ti. Q. Which of th following statnts is tru for th nrgis of th trs of th carbon ato in th ground stat lctronic configuration s s p? (a) (c) P D S (b) P S D P F S (d) P F D Solution: Th spctroscopy trs for p ar,, S D P. According to Hund s rul, stat with highst ultiplicity lis lowst. Thn, out of sa ultiplicity, stat with highst L lis lowst. Thus ths trs can b arrangd as P D S H.No. 4 D, Ground Floor, Jia Sarai, Nar IIT, Hauz Khas, Nw Dlhi 6 Phon: 6864/ Wbsit: Eail:.physics@gail.co 4
5 JEST 6 Q. Th H olcul has a rducd ass kg 8 8. and an quilibriu intrnuclar distanc R.74. Th rotational nrgy in trs of th rotational Ans. : (c) quantu nubr J is (a) E J7JJ V (b) rot Erot J J J V (c) E J7JJ V (d) rot I Solution: E JJ, whr, Erot J J J V I r 8. kg kg Js. I 4.97 kg. J. V E 7J J V V Q. If th Rydbrg constant of an ato of finit nuclar ass is R, whr R th Rydbrg constant corrsponding to an infinit nuclar ass, th ratio of th lctronic to nuclar ass of th ato is:- (a) (b) (c) (d) Ans. : (a) R c Solution: R c c c V H.No. 4 D, Ground Floor, Jia Sarai, Nar IIT, Hauz Khas, Nw Dlhi 6 Phon: 6864/ Wbsit: Eail:.physics@gail.co
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