Con hder the fysZem ( Cycleid) x= a(l+sino) y = a(l-coso) gind li) the Kinefic enryy of Hhe ーTZ02T %3D Systen Lagrangian 11 (iji) the canonícal momenfum and the total energy of the Syso and its egu tion rrtir フ
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- a Consideran e lecton m ov ing in a circular orbi of rad ius ras show n inFigure 1. From the pointofv iew of the electron, the nuckus orb its around he e'ectron as can be seen in Figure 2. +Zes Figure 1 Figure 2 From the given infom ation, show that he spin- orbit interaction energy is a function of S-L, w here S and L are respectively spin and orb ital angu lar m om enta 11 b. Cakube the possible va lues of he quantum num bersj and m . for states in w hich 1= 2 and s= 1/2. C. Two identical particles m ove independently in a one-dim ensibnal box of ength a, one being in he ground state of he infnit square w ell and he other being in the firstexcited state of that po tential. A sum e zero spin so that the eigenfunctions for the systm are just the spatialeigenfunctions Evaluate he sym m etric and antisym m etric btal eigenfunctions V erify that in these eigenfunctions does nom alize them properly. i.Draw the Multi Cavity Klystron Functi onal Diagram and explain its operation, advantages and disadvantages. ) A one cavity Klystron is operated at 45 GHz with a D.C beam voltage of 650V for 4.75 mode, repeller space length of 0.8cm, and a D.C beam current of 50mA. The beeam coupling coefficient is assumed to be 1. a) calculate the repeller voltage b) electronic efficiency and output power.Smple bamonie the dhis blacanent time in gives by: io Sin añ ( 36 000 E-20) e brobagatad then a 3| a patsala lio cn) at and 2. When nare nadium liastart of ampleikda wbrating baticle ralocity - wave dongth -fraquany Calculata i- Ware - Trima bariod.
- 3b.2. Show that the Plank phonon distribution at elevated temperatures can be approximated at its limiting cases. a) T < 0D → (n) 1 KBT b) T » OD → (n) - ħwq Hint: At elevated temperatures ħwa « kÃT, we can expand the exponential (take only the first 2 terms).Please answer within 90 minutes.asap pls