Fundamentals of Nuclear Science & Engineering (3rd Ed., 2016) – Solutions Manual – by Shultis

1224567189 6  

,0123456 72489 2 6 8 4 21
 
75


9
5



!"
7

#$%
1
5! &
'()*+,-.(/0#$1/#2#$%34/2(#56$71$((51$7
8#$9#9:*#*(;$1<(591*
.#$0#**#$=8:>>?@>
(A#12BCDEFDEGHIJG

KLMNOLPQRSLTUVW
XYZ[\]^_ǸabTUUcdTUVW
effKǸabOKLOL_MLP
gaNOb^]LOY_N]bNObaL]_\]L_b^\hbaLiRba\_Ojkbli^S\bmLY\]NLPNS]i_b\_NS
b\bifnNba\Rb]L_lNOON\S\hbaLiRba\_Oj

, 012345
6789 8 899 89  9 7  98  




!"#$%&!
'(&)&
*+)')+,-./60 128934 53
2 8637889:; 6  <7 7 9 89   7 7
79 6=8> ? 0>8699:6789 889>866 09 0
9868078=36< 9706   07899 79
<87  8998:@38078=306> 9 897
967 A6  89  663< < 6 8  8>8= 89
9 73 >8 3789 8<8  8>6:
B9 68 066 7    6 7 < 6<86 < 
CDDEFGGHHHIJKLIMNOILPOGQRMNGSTTMNICDJ

,01234567
89   





!"#"#$#$%"&'()"#$*+%,$#'-$),.$(/,!(/!0/1234567',("#$),8$%$(*$
9$":$$("#$/$":!+(,"/3
;<=>?@<AB
C#$DEFGH,/+/$)0!%6$%,!),*6#$(!.$(''()$I+'7/"#$(+.9$%!0J*K*7$/
6$%/$*!()3LC#$MNFOE,/+/$)0!%"#$%'()!. !%/"!2*Z#'/",*%'"$'":#,*#'
%'),!'*",-$/!+%*$)$*'K/P/6$*,Q*'77KPRS,TUVWXRY )$*'K/[/$*!()3
\])-'("'^$/!0_`+(,"/'%$'66'%$(":#$(!($,/6%$/$("$):,"#+(,"/!0abFFEcdP
eNfMEdPGefdP'().'(K!"#$%/3
g'hS!.6'%$"#$ %,",/#'()i3_3+(,"/0!%"#$^'77!('()9'%%$7g7,I+,)'()
)%K.$'/+%$h,(_`+(,"/!07,"$%/gjh3
g9hS!.6'%$"#$cefkGefPdDeFGGefP'()lEGFOMGef,(_`+(,"/!0m^3
;<=>?@<AB
i(,"*!(-$%/,!(/'%$"'m$(0%!."#$#'()9!!mnefoEFdOefpbMGeFdbfqrbacEdP
U)$)3P9Ks3C3t,..$%.'('()`3j'-,($P6+97,/#$)9K`()+/"%,'7u$/$'%*#
_$%-,*$P`(*3PRvwR3
g'h`(9!"# %,",/#'()i3_3+(,"/P"#$^'77!(,/$I+,-'7$(""!xI+'%"/P$,^#"
6,("/P$"*3y!:$-$%P"#$I+'%"'()6,("+(,"/),8$%,("#$":!/K/"$./3C#$
i3_3^'77!(.$'/+%$/U3Wz{UjP:#,7$"#$ %,",/#.$'/+%$/x3{xwj3|!"$
"#'""#$^'77!(,//!.$",.$/+/$)0!%)%K.$'/+%$Px3xY{ji3_3.$'/+%$3
C#$9'%%$7,( %,",/#+(,"/,/"#$/'.$0!%7,I+,)'()) %K.$'/+%$P('.$7KP
RwU3w{j3C#$i3_39'%%$7g)%Kh,/$5'*"7KWY{w,(}PRR{3w~j3C#$i3_3
9'%%$7g7,Ih,/x~^'77!(/gR{z3vzjh0!%6$"%!7$+. .$'/+%$P9+"!"#$%:,/$
g+/+'77Kh,/UR3{^'77!(/gRRv3~xjh3
g9hC#$*!..!(i3_3+(,",/"#$/#!%""!(!0~YYY79PvYW3Rz{m^P~Y/#!%"
#+()%$):$,^#"g*:"h3C#$.$"%,*"!(,/$5'*"7KRYYYm^P'()"#$7!(^"!(
,/~Y7!(^*:"P~~3x/#!%"*:"P~~xY79P!%RYRwm^3




,012 345678957 59 7




! "#$%
%&
'"%
&()*+,-./'%#01.

01.
201"#
.3#0
4567895:;
<

! "#$%
%&
/'%#'"=
&
1
&
=
%3
>21?@AB! C'
&.DDBEFG
H0"#?@ID$%
%&
C'
&.DDBJI?H0 <

K.3#0 %&
L=
>2?@?M>N
.3#01%
1DDBJAIOP Q3#1NN
3%
%"(RS)TUV*W)TX
(
&
&2&


(Y
%P

&Y%

?MK



'"# <



RW)Z[-,RU\
2'"=
%&

L=
>2IJDP%"&1DDA??DOP
]^L>%"


!_
&.%("20%""#P%3



=
=

C'%3>
"
'"%
&(



(>>Y%"P'"%
&`.0P&@O%>H1.N0
P
&@"1.=0ab@&@&1.#0P
=@.&cd@H01"#.
0$C@%>>%e'%

4567895:;
.0f"g
%L'"%
NN
3%
%"&"#"
&h!_
iL
&">2%""'

`
=
=
(%&jklm
.N0f"g
%L"
&"#NN
3%
%"&"##"g
'&
!_
iL
&%"#
"%e
"
`=
=
(:5nolo
.=0f"g
'&

2

""##"g
'&
'>
%>
&>%#%̀=
=
(poqcr
.#0f"g
%L"
&"#NN
3%
%"&1#"g
'&
'>
%>
&>%#%1"##"g

'&

"


&
&`=
=
(P=&HN



0stkoqm
.
0f"g
%L"
&Y%

NN
3%
%"&1"#!_
iL&
'>#N
%""'

`
=
=
(uvwlx9
y"&%#
z{1f{1"#z {|1



#&%#
>P&
&

&&'
&(?
 "#




'
&(BEAB}~ 





>
='>"#&&#
"&%
%
&(
=

4567895:;
Q==#%"P



%#
>P&>Y1>#
"&%
%
&
%#
"
%=>(%#
>P&
&
'"#



&
="#%
%"&1%
1€ ‚ƒ„ † ‡ <N>
?F1 ‚JA?IIGB
ˆ‰@‰~ ‡ƒ‚ D?D?ABFŠˆ‚ ?
 1"#†‚ BEAB}~ 1€ ‚I?FM
>@ Š'>
%>%=
%"N2>
='>Y
%P

&2%
>#1
&
=
%3
>21JAGJ1?MGI1
"#GIEDP@‰ (






P&
&
‹_"3=''1
Y(#
&>%P

3
%"?"&Œ
4567895:;
Ž‚‚.A‘?D’ @&0‘.?Dc“ &0‚A‘?Dc” ‚s•o

,012345627489 267 94 



!"#
#
"

$
%&
"
#
"
&'
""

#("# )*
+,-./&
&
"
#
"
(#"(#0"
"1
234567389
:;<
+,-=:>?@:>?A +,:>?B -=:C;<D:>?E +,-=FGHIJ.
KL"M N$#" (#"" #&#

&"!&!"

"M
+$


O
PQBBR%P'QAES%P
QTUV"%PQAUWX'%PQA@YZ1
234567389
S$


 $#" (#""
BBR [ )
AES :< ::
TUV" << ;*
AUWX' :;) \;
A@YZ :][ ^;

_V"
#&$


WB`.Z &V&#"!&S$


 "a$


PQ
&

& 
"'#%P'Q&

& 
""%P
Q&


"#.
234567389PQWBb %P'Qcd`%P
QWBe`
fgh
&V&#"!&S$


 "aN
%M
&i
 &&
"!
Pi=\;Q%&&j" '
$


.0$
&

&j"
##

j"

 .
234567389X#"&
$Pi=[:Qk
&
$Pi=]<Q
/&#&"

$
#M
+& "!PQLA +%P'QLAl%P
QLml1
234567389
n#" k'
b.<%oPlQ= :)C^^^]+,"
p!#" k'
R.:oPLQ= :C>>*\;)
+,"
oPmQ=;C>:]:>;+,"
.
PQoPLAQ=;oPLQ=;D:C>>*\;)=qCfFrFHIs34
P'QoPLAlQ=;oPLQtoPlQ=;D:C>>*\;)t:)C^^^]=KCfFHIs34
P
QoPLmlQ=oPLQtoPmQtoPlQ=:C>>*\;)t;C>:]:>;t:)C^^^]
=_CfqHIs34

,012 345678957 59 7
0


!"
!#
$%#
!"%&
'#%#"
()*+),-
./0123/45
6&!
78#
9:;<=>(?@A;B:CABD E
!#<=>)?@FG:DDDH E
!#<
I=>+?@
;A:CJJ E
!#:
7

!#
$%#&K
!"()*+), %=>()*+),?@ =>(?L J=>)?L
=>+?@A;BMCABDLJ>FGMDDH?L;AMCJJ@;JJMCDF E
!#@CM;;JCDFE
!#:
+
$
!


!#$!

NO @JMCAAPFC*Q
!#
$%#
<

 !"!


!#
$%#

!"()*+), @ =>()*+),?RNO @ CM;JJCDFRJMCCAPFC*Q @ STUVWX0UYZ[
\]^_/0`a10`:

0b+!K 8'&%



&
$c&!$#!"9d!I&!e$!


&


f%d#

!"F!
$
%
:
./0123/45
g'I
h
!
!

&
!
$K
!"i*jFA E
!#:7%

!"
!

!
!" j
i*

k>i*lj?@ NOFA!

E
!# @ FA E!
M
E
!# NO
g%8'I
h
!
<!

!
!"i*j
!"FA%:7
&
"!&
<
F% mFA n F
F%@ FA%E>i*j!
? NO E> j!
? @ NO M
i*



02o& !&!FDJF
c'$#
I&I"!&!
$

K
ilp)!
:7


K
I&I
FEFJ

!"

FEFA

!"
i*lj!
:7
$

#
I
!Id



c
$&!

&':q

&



$!
d
&!
"$!&


I
I
!$!
d
&"&!
!#I!

K!
$
%
:r!KII$

s
$

d#%
!"
9d!I&!$!

-
./0123/4
6&!
78#
g:F<
ipl)!

!"FG:DDHDFHJ
%:7%<
c&
t
FDJF!
$
%
K FG:DDHDFHJEFJc!tFDJF%
<
I
$!
d
&!

"$!&%F
%>il)?@C:DDDJBAFJ
%>i*j?:
7
9d!I&!$!

I
h

I

%
8
&!"!

FA !"%
8!%
I
$&8!
tFA
&
t


&'
#
$&!
$
<:
:<

%
8
&!"!
$

%
c
& &
:(
I"&!
78#
F:G<!

h
Iw* NO  d

8'

#!"
!
$
%
<


#'<uFMJJCG;BvPFC ,xwi@JMCAAFHACP
&
$*Qc&!$wi
FC
!# :o&
tFDJF<
9d!I&!$!

K
!&
#!!
#'I
h

I


%
8
&!"!
c
&
!#!"
'
#



<
II
8
d#%
JMCAHBJPFC*Q:

,012345627489 267 94 



!"#$
%$#$&'()

*#+*#&*,
-./012.34
5#! 67+$89:;
%$
*#+7*<=$
!" &*#&* &

*<
7$
>? "@ABCBBDD
EF98

G 
*#&* =
&
HGIJ?"@KLM *#E
&*

96%*
;
%$*7$#
!"

&
%$

GA'BBB)#$
GLM
L? !"@A>? !"@J? "@
ABCBBBBDD'BBBN? OCBPPN'B @ASTUVWXYZ [1.\]C
P:QCBPQR
^87*=($
=
&
'_

$#
`ab%$#$
$#%
<$&


')= 9
?d@ +$

c#$
%$#$&
%$7*=($
,?7@



d < d #$
%$#$&
e 
%$7*=($
,
-./012.34
?@6%$#$+
&f$
&=$&)%


$#J?c@APJ?@gJ?c@AP?'CBBhR`@g
?'DCRRR`@A'QCB'DPQC6%$
%$*7$#

$#+$=*+$

+

cA 

?c@ 'BBB)
J?c@ A 'QCB'PDQ)i+AC\./C
?7@j*7$#
+$=*+$l

cADDCD+NLM +kdADDCDNOCOBPP'N
'B A :C:`:N'B +$=*+$
96%$
%$*7$#



7
%dd
<de

APN 9
c+$=*+$
AOCOQDON'Bd 

95#
l
67+$89̀;
%$&
m
m&=7*<=$
#$
*<
7$n?d@A BCRRRQQD
<n?de@ABCBBB''D96%$
L?dd@A?BCRRRQQD@?OCOQDON'Bl@A^C^UNXYo [1.\]
<
L?de@A?BCBBB''D@?OCOQDON'Bl@ApC^UNXYq [1.\]C
p


<$*
$#&* #$
%$#$&P()

$#,
-./012.34
r
$#&


+c;<
$s#

=+=*+
$
%$*7$#



%<#)$
L?@&

GAPBBB)
c&

L?@APL?c@APJ? GLM tP GLM
c@ u?c@
APPBBBN?OC'BQPPN'B @A'C:`N'Bv


C


,012 345678957 59 7
 


!"
#!$%&!'%($#)#(
*)
$!
%$ +,-%&.
./0
!12%#


#!"3)4
#
"$&!"
#$
*)
$!
%$!&%#564
*7!
%&
8+,-9.:.../0;8+<-9=>?0@0?AA BCDEF:
0GHI&!%!
!"
#$
*!&%#J...'$#)$!%

K!!
#3&&$'1
!%#&3$6


LDMNCODPQ
"
(&&R 9J...S5:59/JT064

&&$
&!!"
!"%&&&%&%#

U*!"
!&%###1%#!
%&+

4
4&&'&!%($

!(
-7

(#1
V
!
)!%# !"
(&&7$)%#(
&
!$!RWXYZ[ 9/0..64
"$&
!"
#$
*!&%#!"
(%&
WXYZ[8\ 9 +/:
8 9 R]+ 
-
0;/.^-+T:.55;/.5J-90>2@0?A_ BCDEF:
0T
0`Ha($!
!"

!%V
!%(7
%4"!*b34
#

LDMNCODP
 


b34
#"&!"

&!
%&!'
&cd^e dfe #)dge 7%!"
'
(
#!$#)#(
&*hh
i0i .
.Jj #).
5.0 
&'
(!%V
3
"
%!%(
&&
&%#$ 
*$#)*
k
/#)
l$!"
%
!%V
!%(7
%4"!&

"
#*Il
+/
5-
m+e-9 n+/..e-m+d^e-o n+/..e-m+dfe-o n+/..e-m+dge-
d^ df dg

9 hh/:.i.0i/0:hhh/0o ./:..J.j/T:hhh/J5o ./:5...0/i:hhh/T.90p:̀``q?p:
=?Hr!$$#%$ (#!%#&!"
%&!'
&stuv stwv #)stgv
a($!
!"


!%V
!%(7
%4"!*#!$$#%$

LDMNCODP
 


!"
!"

%&!'
&stuv stwv #)stgv"V
%&!'%($#1
)#(
&*.
..002 .
i5.2 #)hh
5i02 
&'
(!%V
3
"
%!%(&&
&
%#$ 
*$#)*
k
/#)
l$!"
%
!%V
!%(7
%4"!&
"
#
*Il
+/
5-
m+e-9 n+/..v-m+stuv-o n+/..v-m+stwv-o n+/..v-m+stgv-
stu stw stg

9 .:/....005J:..h0o ./:i.5..5J0:.Jh5Jo hh/:5.i.05Jj:.0.ijJ
9=xG:?=G`0:

, 012345627489 267 94 



!"#$$%
 
&'$& 
$('$(
)(*&$


!"#$$%


"$+,#

("-
./0123/4
5&!"#$$%
 
&"
6$)($
7"
689:"%8;:
)($&)($&!<"%"
=>-=?@"%A-BC@7
$('
6-5& 
$('$8(
)(*&$($&<(
(*&$
6
* $&"AD$&$)<
% <
$(
$&)" ;:7
"
6AD-BABC-:!" #$$%


"$$(
7&)'7
"$("
$& %($('($
8E:
%<%("$&$
&!6( 6-5&<7
$& 
$('$()(*&$(FGHFIJKLMNNO*$ $&"$&$
!"


(")&(&

$&8E:& %($('
6%6%)6-
P)'7%(<%("QV8$(9"R->-A7$&<"$
8E:("

"$$(8
(

#$
6

SATD?UAB $
 $ 
$!
!"W-5&<7 E:
)<
%("$&$()(*&$"
6("$&AD$&(*"(X"$X*<Y
 6($"
$
$<"%
<&%"($6
B-BBAD*Z;;
)($&
$("
#6*"
B-D?-[&$($&$%"($6S$Z W

8\]+
./0123/4^
_,`-SA-RW7$&$%"($6
#6*"(
deaf b BT
aS]Wb cgS ]W
D?UBTBBADUShTBDDUAB9;WbATBiUAB8j $Z;T
ART===i
_ 5!
k-i($
(!<"%"
8\] ("
"$8

#6*"(l8\ b BTD
$m@


#6*"$-5&<7$&$%"($6
\](
aS8\]Wbl8\aS]WbBTBBDUATBiUAB8jbnopqors t2/uvwxuyT
zk $ (
<
%)($&i{*< "(< "(&%$DB$m
"$("9;|}-
5& ("% 
$&
<9
(  }-5&
<
&%"($6
A=-D*Z;-
9;\
SW[& $($
& 

;|}( "$& $+S!W[&$$&$%"($(

9;|}"%9;\}("$&
<
+
./0123/4^
SW~$| "%\ !$&("{*
"$9;| 
9;|} "%9;\}7"%
$
€| "%€\ !$&$$
"<! 
$
}"% }("$&<"(<
9;\
‚ bi{*-_ DB@"(&"$7€\bi€|7$&$
„ \
‚ b€||ƒ€\\b€||ƒi€|\b€|| Aƒi| T
P€||b| ($&
9;|}("$&<"(<‚-_$&(
<
$)!$("<("*|†\‡D?R†D?>
ˆ ‰V8 ˆ „ ‰V8
|b‚ Aƒi|\ bi{* Aƒi DD??R> boTŠŠ‹ŒT