Nuclear Physics Solutions

University:
Princeton University
Course:
PHY 103 | General Physics I
Academic year:

2022
Views:

15

Pages:

3
Author:

anon

eyes. If earth would Consist of onlynuclear matter, then what will beits radius if e the mass of theearth is 6x1024 kg.Density = 1017kg/m3Solnvolume =MassDensity3III 4 R3MarsDensity6 x10 2431/3R=10 7= 243m.4x3.14Mean Square RadiusXpolerIn spherical coordinate if charge densityis given.Ques. Find Mean square radius of nucleus ifcharge density is given as.p(r) = Po (Const). rsr (Ris radius)= 0r>R (r. dist. from thecentre of nucleus. Soln Quantym-An = RMS deviation =<(x-(x(>)'>S4***dd =/ 4YY 141254*4 dxprob. densityMean Square radius = <(r)2 11SvP(r) dv8 x 2TT=S Sr2 ptr).r2 sinodrdod$720 020 $00as JT 2TTSS (p(r) r2 sinodrdodoto=4TT S. rtdr04TTr2 dr =RS/S3 R2R3/35 Ques.For charge density s (r) =show that the root mean square radiusof the nycleus is all (ars const., Po is const.)5017-r/ar2p.e r2 sinodrdodp.=2TTSSSAC rasinodr dods008=4TT / r 4-r/a dr0these are Garmed8fun..)4TTS. re-real dr04195 5 4x3xx1024!4+12:03 2t(a)=129221(1)211squarroot =1292 = 12 ashawey