{"text_format":"1","workbook":"xlsx","n_sheets":4,"sheets":["Answer","PBox","HO","Sheet1"],"not_rendered":{"charts":2,"images":4,"macros":1,"external_links":0,"defined_names":33,"comments":2,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"Answer","index":0,"n_rows":28,"n_cols":22,"rows_kept":28,"cut":false,"hidden":false,"merged":[[0,0,0,5],[0,7,0,9],[1,6,1,7],[2,6,2,7],[3,6,3,7],[2,8,2,9],[1,8,1,9],[3,8,3,9],[1,2,1,5],[2,2,2,5],[3,2,3,5],[17,2,17,8],[15,0,15,8],[14,2,14,9],[25,0,25,1],[24,2,24,9],[22,2,22,8],[18,2,18,8],[23,2,23,8],[20,2,20,8],[21,2,21,8],[19,2,19,8],[16,1,16,5],[9,2,9,8],[10,2,10,8],[11,2,11,8],[13,2,13,8],[12,2,12,8],[8,2,8,8],[1,0,1,1],[7,2,7,8],[5,0,5,8],[4,1,4,9],[2,0,2,1],[3,0,3,1]]}
["วิชา 01403342 :: การบ้าน ",null,null,null,null,null,"กลุ่ม",null,null,null,null,null,"std_id=",{"$f":"RIGHT(I2,1)&RIGHT(I3,1)&RIGHT(I4,1)","v":""}]
["ชื่อ-สกุล",null,null,null,null,null,"เลขประจำตัว",null,null,null,"«","nLevel","Bstart","Blength","xStart","xEnd","xPosition","mlevel","yStart","yEnd","yPosition"]
["ชื่อ-สกุล",null,null,null,null,null,"เลขประจำตัว",null,null,null,"¬",{"$f":"MOD(LEN(Name1)+LEN(name2)+LEN(name3),4)+1","v":1},{"$f":"MOD(FIND(\" \",Name1)+FIND(\" \",name2),5)*0.25+0.25","v":{"$error":"#VALUE!"}},{"$f":"6-Bstart-0.25-MOD(STD_ID,4)*0.25","v":{"$error":"#VALUE!"}},{"$f":"Bstart+MOD(LEN(Name1),5/2+0.25)","v":{"$error":"#VALUE!"}},{"$f":"xStart+0.25*MOD(LEN(Name1),6)+0.5","v":{"$error":"#VALUE!"}},{"$f":"ROUND((xStart+xEnd)/2.2,1)","v":{"$error":"#VALUE!"}},{"$f":"MOD(STD_ID*3,4)","v":{"$error":"#VALUE!"}},{"$f":"MOD(STD_ID,5)*-0.25","v":{"$error":"#VALUE!"}},{"$f":"MOD(LEN(Name1),7)*0.25+1.5+yStart","v":{"$error":"#VALUE!"}},{"$f":"ROUND((yStart+yEnd)/1.5,1)","v":{"$error":"#VALUE!"}}]
["ชื่อ-สกุล",null,null,null,null,null,"เลขประจำตัว"]
["คำแนะนำ","1) ต้อง ลงฟอนต์ TH SarabunPSK ในเครื่อง \n2) กรอกชื่อและเลขประจำตัวในหน้า sheet Answer \n3) กรอกข้อมูลที่เกี่ยวข้องลงใน sheet Pbox และ sheet HO โดยกรอกข้อมูลในช่องสีเหลืองและสีส้ม ให้ครบถ้วน \n(ดูให้ละเอียด ทั้งไฟล์)\n    - sheet Pbox เติมข้อมูลในช่องสีส้มก่อน จากนั้นเติมในช่องสีเหลือง (ถ้ายังไม่ทราบอาจลองเติมดูก่อน)\n    - sheet HO เลือกสภาวะที่ต้องการจากปุ่ม เติมข้อมูลในช่องสีเหลือง/ส้ม เท่านั้น \n4) ห้ามแก้ไขช่องอื่นใดที่ไม่ใช่สีเหลือง/ส้ม ห้ามลบ/แทรก ก๊อปปี้ข้อมูล\n5) ตอบคำถามด้านล่างโดยใช้ข้อมูลจาก sheet Pbox และ sheet HO และกรอกข้อมูลในช่องสีเหลืองให้ถูกต้อง\n6) print หน้า sheet Answer, sheet Pbox, sheet HO เป็น pdf file และนำมาส่งตามที่กำหนดในเว็บไซต์ (รวม 4 แผ่น)",null,null,null,null,null,null,null,null,null,{"$f":"IF(AND(ISNUMBER(nLevel),nLevel=PBox!B6),\"x\",\"\")","v":""},null,null,{"$f":"IF(AND(ISNUMBER(xStart),xStart=PAB_xini),\"x\",\"\")","v":{"$error":"#VALUE!"}},{"$f":"IF(AND(ISNUMBER(xEnd),xEnd=PAB_xfin),\"x\",\"\")","v":{"$error":"#VALUE!"}},null,{"$f":"IF(AND(ISNUMBER(HO!B5),mlevel=HO!B5),\"x\",\"\")","v":{"$error":"#VALUE!"}},{"$f":"IF(AND(ISNUMBER(yStart),yStart=HO_xini),\"x\",\"\")","v":{"$error":"#VALUE!"}},{"$f":"IF(AND(ISNUMBER(yEnd),yEnd=HO_xfin),\"x\",\"\")","v":{"$error":"#VALUE!"}}]
["ระบบ Particle in a box",null,null,null,null,null,null,null,null,"คำตอบ","เฉลย",null,null,null,null,null,null,null,null,null,null,{"$f":"COUNTIF(A7:A14,$K$2)+COUNTIF(A17:A24,$K$2)","v":0}]
[{"$f":"IF(nLevel=PBox!B6,$K$2,$K$3)","v":"¬"},{"$f":"\"ถ้าอนุภาคในกล่องอยู่ในสภาวะ n=\"&nLevel","v":"ถ้าอนุภาคในกล่องอยู่ในสภาวะ n=1"}]
[{"$f":"IF(AND(A7=$K$2,L8=\"A\"),$K$2,$K$3)","v":"¬"},null,"จากกราฟ กล่องนี้มีความกว้างเท่าใด",null,null,null,null,null,null,null,{"$f":"Blength","v":{"$error":"#VALUE!"}},{"$f":"IF(LEN(J8)>0,IF(ABS(K8)<0.0000000001,IF(J8=0,\"A\",\"x\"),IF(ABS((J8-K8)/K8)<0.01*ABS(K8),\"A\",\"x\")),\"\")","v":""}]
["¬",null,"จงหาค่า Normalizing Factor ของฟังก์ชันคลื่น",null,null,null,null,null,null,null,{"$f":"1/SQRT(Blength/2)","v":{"$error":"#VALUE!"}},{"$f":"IF(LEN(J9)>0,IF(ABS(K9)<0.0000000001,IF(J9=0,\"A\",\"x\"),IF(ABS((J9-K9)/K9)<0.01*ABS(K9),\"A\",\"x\")),\"\")","v":""}]
["¬",{"$f":"IF(ABS(J10-PBox!F6)>0.0001,\"x\",\"\")","v":{"$error":"#VALUE!"}},"ความน่าจะเป็นที่อนุภาคอยู่ในกล่องเท่ากับ",null,null,null,null,null,null,null,{"$f":"1","v":1},{"$f":"IF(LEN(J10)>0,IF(ABS(K10)<0.0000000001,IF(J10=0,\"A\",\"x\"),IF(ABS((J10-K10)/K10)<0.01*ABS(K10),\"A\",\"x\")),\"\")","v":""}]
["¬",null,{"$f":"\"จงหาค่า ฟังก์ชันคลื่นที่ตำแหน่ง \"&TEXT(Q3,\"0.00\")&\" cm\"","v":{"$error":"#VALUE!"}},null,null,null,null,null,null,null,{"$f":"TEXT(HLOOKUP(PBox!B9,PAB_tab,MATCH(xPosition,PAB_id,1),0),\"0.0000\")","v":{"$error":"#VALUE!"}},""]
["¬",null,{"$f":"\"จงหาค่า ความน่าจะเป็นที่จะพบอนุภาคที่ตำแหน่ง \"&TEXT(Q3,\"0.00\")&\" cm\"","v":{"$error":"#VALUE!"}},null,null,null,null,null,null,null,{"$f":"TEXT(HLOOKUP(PBox!C9,PAB_tab,MATCH(xPosition,PAB_id,1),0),\"0.0000\")","v":{"$error":"#VALUE!"}},""]
["¬",null,"ตำแหน่งที่มีโอกาสพบอนุภาคมากสุดมีความน่าจะเป็นเท่าใด",null,null,null,null,null,null,null,{"$f":"MAX(PABV_p)","v":{"$error":"#VALUE!"}},""]
["¬",null,{"$f":"\"จงหาค่าความน่าจะเป็นที่จะพบอนุภาคในช่วง x= \"&TEXT(O3,\"0.00\")&\" ถึง \"&TEXT(P3,\"0.00\")&\" cm\"","v":{"$error":"#VALUE!"}},null,null,null,null,null,null,null,{"$f":"TEXT(SUMIFS(PABV_p,PABV_x,\">=\"&xStart,PABV_x,\"<=\"&xEnd)*stepsize,\"0.0000\")","v":"0.0000"},""]
[null,null,"เมื่อพิมพ์หน้า Tab Pbox ให้ขีดเส้นแสดงบริเวณที่ต้องการอินทิเกรตในกราฟ",null,null,null,null,null,null,null,null,{"$f":"IF(LEN(J15)>0,IF(K15=0,IF(J15=0,\"A\",\"x\"),IF(ABS((J15-K15)/K15)<0.01*K15,\"A\",\"x\")),\"\")","v":""}]
["ระบบ Harmonic Oscillator",null,null,null,null,null,null,null,null,null,null,{"$f":"IF(LEN(J16)>0,IF(K16=0,IF(J16=0,\"A\",\"x\"),IF(ABS((J16-K16)/K16)<0.01*K16,\"A\",\"x\")),\"\")","v":""}]
[{"$f":"IF(AND(ISNUMBER(HO!B5),mlevel=HO!B5),$K$2,$K$3)","v":{"$error":"#VALUE!"}},"ถ้าอนุภาค Harmonic Oscillator อยู่ในสภาวะ n=",null,null,null,null,{"$f":"mlevel","v":{"$error":"#VALUE!"}},null,null,null,null,{"$f":"IF(LEN(J17)>0,IF(K17=0,IF(J17=0,\"A\",\"x\"),IF(ABS((J17-K17)/K17)<0.01*K17,\"A\",\"x\")),\"\")","v":""}]
[{"$f":"IF(AND(A17=$K$2,L18=\"A\"),$K$2,$K$3)","v":{"$error":"#VALUE!"}},null,"จงหาค่า Normalizing Factor ของฟังก์ชันคลื่น",null,null,null,null,null,null,null,{"$f":"ROUND(HLOOKUP(\"Nfac\",HOv_Ntab,G17+2,1),4)","v":{"$error":"#VALUE!"}},{"$f":"IF(LEN(J18)>0,IF(ABS(K18)<0.0000000001,IF(J18=0,\"A\",\"x\"),IF(ABS((J18-K18)/K18)<0.01*ABS(K18),\"A\",\"x\")),\"\")","v":""}]
[{"$f":"IF(AND(A18=$K$2,L19=\"A\"),$K$2,$K$3)","v":{"$error":"#VALUE!"}},{"$f":"IF(ABS(J19-HO!F5)>0.0001,\"x\",\"\")","v":""},"ความน่าจะเป็นที่อนุภาคบริเวณ x = -4 ถึง 4 cm",null,null,null,null,null,null,null,1,{"$f":"IF(LEN(J19)>0,IF(ABS(K19)<0.0000000001,IF(J19=0,\"A\",\"x\"),IF(ABS((J19-K19)/K19)<0.01*ABS(K19),\"A\",\"x\")),\"\")","v":""}]
[{"$f":"IF(AND(A18=$K$2,L20=\"A\"),$K$2,$K$3)","v":{"$error":"#VALUE!"}},null,"ตำแหน่งที่มีโอกาสพบอนุภาคมากสุดมีความน่าจะเป็นเท่าใด",null,null,null,null,null,null,null,{"$f":"MAX(HOv_P)","v":0},{"$f":"IF(LEN(J20)>0,IF(ABS(K20)<0.0000000001,IF(J20=0,\"A\",\"x\"),IF(ABS((J20-K20)/K20)<0.01*ABS(K20),\"A\",\"x\")),\"\")","v":""}]
[{"$f":"IF(AND(A20=$K$2,L21=\"A\"),$K$2,$K$3)","v":{"$error":"#VALUE!"}},null,"ตำแหน่งที่มีโอกาสพบอนุภาคมากที่สุดคือที่ X เท่ากับเท่าใด (ให้ตอบค่าเดียว)",null,null,null,null,null,null,null,{"$f":"HLOOKUP(\"x\",HOV_Tab,MATCH(K20,HOv_P,0)+1,0)","v":-4},""]
[{"$f":"IF(AND(A21=$K$2,L22=\"A\"),$K$2,$K$3)","v":{"$error":"#VALUE!"}},null,{"$f":"\"จงหาค่า ค่าฟังก์ชันคลื่นที่ตำแหน่ง \"&TEXT(U3,\"0.00\")&\" cm\"","v":{"$error":"#VALUE!"}},null,null,null,null,null,null,null,{"$f":"HLOOKUP(\"Y\",HOV_Tab,MATCH(yPosition,HOv_x,1)+1,0)","v":{"$error":"#VALUE!"}},""]
[{"$f":"IF(AND(A22=$K$2,L23=\"A\"),$K$2,$K$3)","v":{"$error":"#VALUE!"}},null,{"$f":"\"จงหาค่า ความน่าจะเป็นที่จะพบอนุภาคที่ตำแหน่ง \"&TEXT(U3,\"0.00\")&\" cm\"","v":{"$error":"#VALUE!"}},null,null,null,null,null,null,null,{"$f":"HLOOKUP(\"Prob\",HOV_Tab,MATCH(yPosition,HOv_x,1)+1,0)","v":{"$error":"#VALUE!"}},""]
[{"$f":"IF(AND(A23=$K$2,L24=\"A\"),$K$2,$K$3)","v":{"$error":"#VALUE!"}},null,{"$f":"\"จงหาค่าความน่าจะเป็นที่จะพบอนุภาคในช่วง x= \"&TEXT(yStart,\"0.00\")&\" ถึง \"&TEXT(yEnd,\"0.00\")&\" cm\"","v":{"$error":"#VALUE!"}},null,null,null,null,null,null,null,{"$f":"TEXT(SUMIFS(HOv_P,HOv_x,\">=\"&yStart-0.0001,HOv_x,\"<=\"&yEnd)*step_h,\"0.0000\")","v":"0.0000"},""]
[null,null,"เมื่อพิมพ์หน้า Tab HO ให้ขีดเส้นแสดงบริเวณที่ต้องการอินทิเกรตในกราฟ"]
[{"$f":"IF(LEN(J8)>0,\"กำหนดให้\",\"\")","v":""},null,{"$f":"IF(LEN(J8)>0,\"ค่าคงที่ของแก๊สเท่ากับ \"&COUNTIF(L5:U5,\"x\")&\".594\",\"\")","v":""}]
[null,null,{"$f":"IF(COUNT(J8:J14)=7,\"ค่าคงที่ของแพลงค์เท่ากับ \"&COUNTIF(A8:A14,K2)&\".5354\",\"\")","v":""}]
[null,null,{"$f":"IF(COUNT(J18:J24)=7,\"ค่าคงที่ของโบซทมานน์เท่ากับ \"&COUNTIF(A18:A24,K2)&\".089\",\"\")","v":""}]

{"sheet":"PBox","index":1,"n_rows":250,"n_cols":6,"rows_kept":250,"cut":false,"hidden":false,"merged":[[5,2,5,4],[6,2,6,4],[0,0,0,3]]}
["Particle in 1D-Box"]
["Xstart",0]
["Box Length",{"$f":"Blength","v":{"$error":"#VALUE!"}},"BoxStart",{"$f":"Bstart","v":{"$error":"#VALUE!"}},"BoxStop",{"$f":"D3+B3","v":{"$error":"#VALUE!"}}]
["Integrate from",null,"to",null,"Step",2.5000000000000001E-2]
["Flag",1,1,1,null,0]
["n=",null,{"$f":"\"Integrated P (Overall) =\"","v":"Integrated P (Overall) ="},null,null,{"$f":"SUM(PABV_p)*stepsize","v":{"$error":"#VALUE!"}}]
["N=",1,{"$f":"\"Integrated P (\"&TEXT(B4,\"0.00\")&\" - \"&TEXT(D4,\"0.00\")&\") =\"","v":"Integrated P (0.00 - 0.00) ="},null,null,{"$f":"IF(AND(ISNUMBER(PAB_xini),ISNUMBER(PAB_xfin)),SUM(D10:D250),\"\")","v":""}]
["shift",{"$f":"-1*D3","v":{"$error":"#VALUE!"}}]
["X",{"$f":"\"Y\"&B6","v":"Y"},"Prob.","Area","Energy","Range"]
[{"$f":"IF(A9=\"x\",$B$2,ROUND(A9+stepsize,4))","v":0},{"$f":"IF(AND(A10>=$D$3,A10<=$F$3),B$5*(B$7*SIN($B$6*PI()*(A10+$B$8)/$B$3)),0)","v":{"$error":"#VALUE!"}},{"$f":"C$5*((B10)^2)","v":{"$error":"#VALUE!"}},null,{"$f":"0","v":0},{"$f":"IF(F$5=1,IF(AND(A10>=$B$4,A10<=$D$4),C10,0),-5)","v":-5}]
[2.5000000000000001E-2,{"$f":"IF(AND(A11>=$D$3,A11<=$F$3),B$5*(B$7*SIN($B$6*PI()*(A11+$B$8)/$B$3)),0)","v":{"$error":"#VALUE!"}},{"$f":"C$5*((B11)^2)","v":{"$error":"#VALUE!"}},null,{"$f":"0","v":0},{"$f":"IF(F$5=1,IF(AND(A11>=$B$4,A11<=$D$4),C11,0),-5)","v":-5}]
[0.05,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[7.4999999999999997E-2,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[0.1,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[0.125,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[0.15,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[0.17499999999999999,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[0.2,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[0.22500000000000001,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[0.25,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[0.27500000000000002,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[0.3,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[0.32500000000000001,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[0.35,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[0.375,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[0.4,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[0.42499999999999999,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[0.45,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[0.47499999999999998,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[0.5,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[0.52500000000000002,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[0.55000000000000004,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[0.57499999999999996,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[0.6,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[0.625,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[0.65,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[0.67500000000000004,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[0.7,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[0.72499999999999998,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[0.75,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[0.77500000000000002,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[0.8,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[0.82499999999999996,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[0.85,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[0.875,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[0.9,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[0.92500000000000004,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[0.95,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[0.97499999999999998,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[1,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[1.0249999999999999,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[1.05,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[1.075,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[1.1000000000000001,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[1.125,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[1.1499999999999999,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[1.175,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[1.2,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
[1.2250000000000001,{"$error":"#VALUE!"},{"$error":"#VALUE!"},null,{"$f":"0","v":0},-5]
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