Old Exam Papers Dec. 2010 - Video

(b) What is Compton effect ? Show that the minimum
value of energy of incident photon which may transfer
half of its energy to an electron at rest is about
256 keV. 1+4
dkWEiVu izHkko D;k gS \ fl) dhft;s fd vkifrr
QksVkWu dh U;wure ÅtkZ tks ,d fLFkj bysDVªkWu dks
vk/kh ÅtkZ LFkkukUrfjr dj lds] 256 keV gksrh
gSA 1+4
2. (a) Prove that the Davisson and Germer experiment
proved the de Broglie matter wave hypothesis.
fl) dhft;s fd Msfolu o teZj iz;ksx ls Mh&czksxyh
nzO; rjax ifjdYiuk dh iqf"V gksrh gSA 5
(b) Explain Heisenberg's uncertainty principle. The
average life time of an electron in excited state is
1?10 ? 8 sec. Calculate the uncertainty in frequency
of emitted photon. 2+3
gkbtucxZ ds vfuf'prrk fl)kUr dks le>kb;sA ,d
mÙksftr ÅtkZ Lrj esa bysDVªkWu dh vkSlr vk;q
1?10 ? 8 lsds.M gS rks mRlftZr QksVkWu dh vko`fÙk esa
vfuf'prrk Kkr dhft;sA 2+3
3. (a) Explain the meaning of probability current. Derive
the equation of continuity for probability density. 2+3
600 2 PH-09
5
10. (a) What do you understand by fine structure of spectral
lines ? How is fine structure in alkali atoms explained
Papers (A) (December) 2010
(477)
on the basis of spin orbit coupling ? Explain. 5
LisDVªeh js[kkvksa dh lw{e lajpuk ls vki D;k le>rs
gSa \ {kkjh; ijek.kqvksa esa lw{e lajpuk dh O;k[;k fLiu
d{kk ;qXeu ls fdl izdkj gksrh gS \ le>kb;sA
5
(b) What are the vibrational spectrum of a diatomic
molecule ? Prove that the vibrational energy is
F
HG I KJ E? ? ? ? ?
1
? 0 . 5
2
f}ijek.kqd v.kq dk dEiuh; LisDVªe D;k gksrk gS \ fl)
F
HG I KJ dhft;s fd dEiuh; ÅtkZ dk eku E? ? ? ? ?
1
2
? 0
gksrk gSA 5
PH-09 7 600