Work, Power and Energy @irfanullah_mehar.pdf

Work, Power and Energy @irfanullah_mehar.pdf

1. Physics
<br>
Notes
<br>
IrfanullahMehar/
<br>
[email protected]
<br>
Oirfanullah_mehar
<br>
WorldofWisdom
<br>

2. orlk
<br>
1
<br>
(Work)
<br>
*****
<br>
(Qonsenyative'
k Nonconseauatefere)
<br>
atfo(Powes)
<br>
gat(Eeny)
<br>
(Conathretin
negt)
<br>
agD (Collosia)
<br>

3. (Work)
<br>
wosk
<br>
fovce.
<br>
inthedecten
offorce
byoppyng
<br>
FCOSe
<br>
Werkforee.
<br>
fazsny
<br>
k
eualstodsplaconeit
<br>
S2
<br>
displacenet
<br>
0=FSCOs
<br>
Joule()
<br>

4. A
<br>
C
GSH5
<br>
Canbe
<br>
e
<br>
veveZe0
<br>
PositiveSS)ea
<br>
Coso
=
1
<br>
(
<br>
(maximm)
<br>
WFS
noximun
<br>
oal203y
<br>
(
STHTT
faT)
<br>

5. Ex.
<br>
Workdonebynavitatienalfree
<br>
cbject.
<br>
(e)
(Zeno)5
<br>
i)
=
<br>
(ii)s
=
<br>
S0°
<br>
Workdone
<br>
(SOT/RihtPngle)
<br>
/
fospendiculas
<br>
topush
<br>
a
wall(S=o)
<br>

6. C)eollrHs
<br>
(Negative)
<br>
Cos180=-1
<br>
w-Fs
<br>
3mun,
<br>
faufre
fa
<br>
(onpositr
ieation)
<br>
äKT
<br>
Aork
doneby
srctionforce
in
<br>

7. NOT
<br>
E
<br>
MF
(sIRIfGJS5)
<br>
(fereyu)
<br>
wstkdonebyweilt(grauitefional
<br>
90°
<br>
Wokdone
<br>
normalrea
chnsoree
<br>

8. (i)
<br>
(i)
<br>
Workdonebyappl'ed
<br>
0-fs
=
-LNS)
<br>
W
<br>
labrkdonebyappiedbure
<br>
total
<br>
Onet
<br>
net
<br>
WFSCOSe
<br>
S
<br>
force
<br>
friction
<br>
o+
OtFSfs
<br>
(F-f)s
<br>
(F-un)s
<br>

9. Note
&
<br>
Note
<br>
Woskdrneby
centepitlforee
<br>
sual
to
<br>
Work
<br>
90
<br>
233
<br>
donedoseh)
dephd
ontim
<br>

10. Q
<br>
two
<br>
do
<br>
-timesthenrtia
o
<br>
illbe1:1
<br>
glock
APqBlock8
<br>
An
<br>
-theirsworkdone
<br>
a
<br>
1
<br>
h29
<br>
(2kg
<br>
T
0+9
<br>
T20-2q
<br>
T-\0ta
<br>
0+q=20-24
<br>
3 10
<br>

11. Hl)
t
8sec.
<br>
am)g
<br>
s-Uttat
<br>
S
5D
<br>
Bleck
A-
<br>
Fs(0Se
<br>
=10(15)()
<br>
-150J
<br>
S=16m
<br>
)2
<br>
oi
<br>
120
<br>
2.
<br>
401531
<br>
w=20J
<br>
Block&=
<br>
wFsCOS1B0
<br>
TSCOS|80
<br>
w-20DJ/
<br>
Block-B
<br>

12. 1111|1111
<br>
2k
<br>
TA
<br>
=180
<br>
Ue0
<br>
25co)
<br>
S=25Cm
<br>
m
<br>
V=
1ms
<br>
2
=U2+2ag
<br>
1=0+1X°
<br>
2
<br>
R
Block
)
<br>
T+29=
29.
<br>
T=20-24
<br>
T
2O-4
<br>
Tl6
N
<br>
WTSC0e
<br>

13. CaseJI
<br>
F-FitFyÎ+E
k
<br>
BD
<br>
Cooponate
<br>

14. Care-I
<br>
åll
<br>
Workoneb
vuuakle
<br>
\asiableoree
<br>
9î
N
<br>
N
<br>
2xîN
<br>
2x
N
<br>
vervableferee.
<br>
x
(fa)f
<br>
depend
<br>
Fx
<br>
Canstanttore
<br>

15. Case-
<br>
Lioskdonetochouge
<br>
Drreetiineas
mothion
<br>
<br>
W=Fscose
<br>
chage
<br>
Wmas
<br>
V2=02+2ag
<br>
2a2
=
v2u2
<br>
V2-)2
<br>
29
<br>
29
<br>
F=m
<br>
faa
<br>
pecd
<br>

16. Case-N
<br>
F=-kxs
<br>
Case-v
<br>
Wevkdome b
springforee
-
<br>
Fdx
<br>
w-klx-X})
<br>
cutut
<br>
2
<br>
w= (x-x*)
<br>
W=mh
<br>
Wakdone
y
grauitationalforee
–
<br>

17. Case-fse
<br>
Case-VI
<br>
F
<br>
CH)75T
<br>
2hdGiade2022
<br>
(c)20J
<br>
Ialosdornebyconutantforce
-
<br>
X 5
m
d
<br>
cb)2)
<br>
neokdonebygraphblFs
<br>
W=
F
sCUse
<br>
(B)Y0J
<br>
(D)80T
<br>
Avea
coNedby
<br>
FS
<br>

18. Ans
<br>
F=5xîN
<br>
5m
<br>
dependnX
<br>
Vatiableforce
<br>
race2012
<br>
Fdx
<br>
5xdx
<br>
Ans-B
<br>
S6km),T
<br>
(B)2.257105J
<br>
c)T5X10J(D) s5X|05T
<br>

19. Ans
<br>
Q.5
<br>
ghd
Grade2015
<br>
v=92km
<br>
=365
<br>
5N
<br>
fap5/
<br>
(A)90°
(3)66'Cc)
80
D)0°
<br>
30
<br>
w-
m(v-u)
<br>
1500
<br>
2,
<br>
(uoo-100)
<br>
500
X
300
<br>
022.5X)o
<br>

20. Ang-F= 5N
<br>
ondgraclea013
<br>
Q.4
<br>
Ans
<br>
U
25J
<br>
X5
<br>
-5
<br>
Fdx
<br>
w7scose
<br>
C9-2x+3de
<br>
2525
X)0COs9
<br>
25-50CoSS
<br>
25
-
<br>
(B)2oJ
(C)35J(9)135J
<br>
60
<br>
-+33
5
<br>
3
<br>
w5-5537
<br>
w-[35-25t)25|
<br>
Ans
<br>
w135T/
<br>

21. gndGnade2013/Sanskerit)
<br>
Q
<br>
Are
<br>
X=3t24
5
<br>
ye 5seC.
<br>
()65oJ(8)875J(O900J(0)350J
<br>
c3t2+5
<br>
t5
<br>
V>
<br>
dt
<br>
=
6t
<br>
V=30)s
<br>
w-y,m
(u)2
<br>
w-x2
x
(302-0)
<br>

22. ndGrade2018Snstaj)
<br>
Ans
<br>
(B)Q2J(O6J(0)2y
<br>
F
BtOr5
<br>
epirg
<br>
[3+
<br>
2ndGrade2015(SPc)
<br>
(9)22J(B)
6
<br>
G6I
<br>

23. Ane
<br>
Ans
<br>
X1mmE
<br>
(1)2;2)
<br>
u-
F
<br>
70-3
<br>
=t 31%
<br>
(2,2,4)
<br>
N
<br>
)
<br>

24. Note:
<br>
(
<br>
Usesok
<br>
Pmulas
<br>
bftsat
o
huight
<br>
fu
fiomkight
<br>
F.s)5
<br>
3rdClass
<br>
ex.>
F2x>w
FJx
<br>
-m(-U)
<br>

25. Ans
<br>
.12
<br>
en
<br>
(4)
<br>
()
<br>
(9)
<br>
Fe
<br>
(b)Zer0()mV(d)Ir*
<br>
4J)
<br>
5/Cutipelalforce
<br>
FScOSg0
<br>
Ans-b)
<br>
Positiebutnotmaximwmwork
<br>

26. (c)Noworkatall/zn
a e
fosz|
<br>
(d)
maximumwek
<br>
Q.13
<br>
Q.14
<br>
5
Newton
<br>
(A)
0
<br>
Fs(oSe
<br>
255X10
CosO
<br>
COSA
<br>
CocGo'
<br>
as
<br>
An-c
<br>
25
Jouleg
a
<br>
(B)30'(cOso'()
90°
<br>
Ans-
C
<br>

27. Q.15
<br>
60Sec.
<br>
(A))i2|B)1
81(C)2:1
(D)y:J
<br>
fe
<br>
(4)-7Jouleso(B)+13
Jrueg
<br>
(c)+1Joules
<br>
(d)t)1Joules
<br>

28. Q.16
<br>
ne
<br>
.1
<br>
(A)–g80J
(B)+990Joule(<)4980Joule
<br>
h=)6.
<br>
Ca)5T(8)5T()T(9)5
<br>
m=15
<br>
=
l0X9.8X10
<br>
F=5N
<br>
6
<br>
t=1Sec,
<br>
V-Utat
<br>
Vm)s
<br>

29. Q.
18
<br>
m
(V-u)
<br>
Second
02ethod
<br>
fazzana(Diadoenet)
<br>
(Eetietield)
<br>
(B)
f
<br>
cc)
raRr(Accebenation)
<br>
es)hork
C
asTy)
<br>

30. Q.19
<br>
Ane
<br>
.20
<br>
n
<br>
(a)1:2:3
<br>
-
ut(2n-1)
<br>
2
<br>
C9)Cx
<br>
Fdx
<br>
0-mgh
<br>
hd(2n-1)
<br>
Wh
<br>
cOF=Cx
<br>
X=0
<br>
yholl2n-1)
<br>
(b)
Cx
(c)
<br>
Ans-B
<br>
C
<br>

31. Ans
<br>
W
<br>
V
<br>
Ca)23
<br>
t 22sec.
<br>
Jx
<br>
L
<br>
dt
<br>
9-
dy
<br>
dt
<br>
312
<br>
(8)3.0T
<br>
Fmq
3X2t 6+
<br>
V
<br>
(c)24J
<br>
w
<br>
dt
<br>
ti
<br>
-t2dt
<br>
6tdt
<br>
Ly
<br>

32. Secodnethod
<br>
t2Sec.
<br>
Note
3
<br>
F
(c)
=
2X
<br>
S
<br>
Fdx
<br>
9=t
<br>
Fmq
6t
<br>
FVdt
<br>
6tt'dt
<br>
-
<br>
245
<br>

33. Ft
5TFncton(U5)
ar
<br>
V
d/
<br>
t
<br>
F.vdt
<br>
F
(U)
=
2V
<br>
v
<br>
dx
<br>

34. Q.22
<br>
Ans
<br>
Q23
<br>
5
CM|5 ca)
<br>
oc(A))6J(B)B]
<br>
m=)0
<br>
halm
<br>
X)15cm
<br>
w-K(x-x)
<br>
(H)49J(B)ST
<br>
(D
<br>
15Cro)
<br>
16
X10m
<br>
5XIO
m
<br>
w-4so(225X16'-
25X\6)
<br>
(D)
19g6
J
<br>

35. Q.25
<br>
(A)5T
<br>
m
<br>
(B)250J
<br>
h O-
25X205
m
<br>
(A)-2
C3) cc)
G
<br>
(co6OoT(d)3430J
<br>
O25
<br>
12-6-3o
<br>
6-3Jce0
<br>
2-)
<br>

36. A
<br>
9ndGrale
90)1
<br>
Conseatieforce
<br>
Workdone
<br>
Dcesn'tdopendon
path
<br>
depend
oniritial
A
fralpocitin
<br>
I
<br>
ooh
<br>
berlkdoneina
gullole-eh
<br>
wtotaQ-
yt9
<br>
A
<br>
(Non-comsewativekorce
<br>
D
<br>
I
<br>
W TWm
<br>
Toalsesk
omejnt
<br>
oe=nn-rO
<br>

37. ork
doneikequasto
<br>
changeink.E.
<br>
tochage
<br>
K•E,willremainconejadKiEDllvaiesina
<br>
en
<br>
a
bllayele
<br>
yele
<br>
Theneis
q
direotrelatomThene
s
ho
<br>
velationb/o
<br>
Ex.ero(ictn),
<br>

38. Hrs
tocheclk
<br>
SFy
<br>
Sx
<br>
Sx
<br>
Sf
<br>
Ex.
<br>
Sl2)
<br>
Corsaatlve
<br>
Sy
<br>
oree
<br>

39. (3)aRREsoNen
conseatieforee)
<br>
Aw
<br>
Sx
<br>
Fx
=)2
<br>
Sy
<br>
Sx
<br>
S
<br>
Sy
<br>
Sz
<br>
Sx
<br>
()
<br>
S2
<br>
Sz
<br>
Sx
<br>
Sx
<br>
Sz
<br>
-eyz
<br>
Sy
<br>
Sz
<br>

40. (öi)SFX
<br>
(O)
S
<br>
29
<br>
S
<br>

41. t
<br>
Rateofdloingwoskt'scalledPower,
<br>
t
<br>
fowe
<br>
-
<br>
(Scalesquantit)
<br>
S3
<br>
FSCOSe
<br>
(sae7)
<br>
att,hp
,Js
<br>
t
<br>
DratantaneoisSoey
<br>

42. 1HP=16.6att
<br>
.
26
<br>
1HPN50
watt
<br>
2ndGrade2022
<br>
1
HP
<br>
(4)mu,t
<br>
t-ty
<br>
V
=
U1at
<br>
V,
=
0tqti
<br>
ti
<br>
50
<br>
(5)mut
<br>
El
<br>
p=F.
<br>
(i)
HP
<br>
(iv)HP
<br>
-
mg.at
<br>
p=
ma2-t
<br>
Ly
<br>
t
<br>
3000
<br>
L
30
<br>
P-mv2
<br>
K
<br>

43. Q.97
<br>
(A
<br>
Ane
<br>
Q.28
<br>
(A)I5Okw
<br>
V
<br>
(Boat)
<br>
(b)
15kw
<br>
G50X2
<br>
(O1.5kw(dj150w
<br>
p=FV
<br>
Cose
<br>
500X3
<br>
p
|5O0W=l.5KO)
<br>
5k0(b) 9k0C)
225ÚC)90O0HE
<br>

44. Ane
<br>
Ane-
<br>
IR)TTONS/wailtttesittey
00k
<br>
(A)5800watt
<br>
200k
<br>
h2m
<br>
t3seci
<br>
a=l0lsec?
<br>
(q)2000itne
<br>
(6)44|O
watt(9196Owtt
<br>
t=i
mn
60SEC.
<br>
P=
2k
= 2
000
)
<br>
t
<br>
(8)l2ditere
<br>
t
<br>
300
X
9.8X2
<br>
2000X60
<br>
h
I0X10
<br>

45. Nole
<br>
Uni't
of
<br>
ss
<br>
1200
<br>
Accerdingtogunsten
<br>
V
(314r)
<br>
=
l2m
3
<br>
ento
<br>
1000utre
<br>
Litre
<br>
(37907
<br>
Uut
velume
<br>

46. Qo31
<br>
Qo32
<br>
An
<br>
Ans
<br>
fa
<br>
t
<br>
(8-10mlse)
<br>
(A)4Sec.(b)5sec.(c)8cec(d)l0sec.
<br>
1D3sec.
<br>
)0,
00O
<br>
t
<br>
p=mgh
<br>
t
<br>
=Bec
<br>
(slade)
af
fra
<br>
(ylkuw(0)l0o0k
<br>

47. Ssl5nihute,s5
ms25
<br>
2024-2S
<br>
Mast
Soop.
<br>
(A)
|.025
<br>
(c)5
TM
<br>
4st
Grade
201
<br>
(A)
<br>
(e)/e
<br>
()B/4
<br>
m
<br>
U=0
<br>
(6)
2.05Mw
<br>
300
Sec,
<br>
h?
<br>
(d)6mo
<br>
t
<br>
p-2.05X16s-5)
<br>
23D
<br>
(p2.5
m
<br>

48. w=F
x=Pxt
<br>
X
<br>
Tndv
<br>
dt
<br>
dt
<br>
sct3
<br>
de
<br>
dt
<br>
3
<br>
2
<br>
3
<br>
P-fasa
<br>
P=F
<br>
mgrPt
<br>
(mtdv
=
(ptdt
<br>
2
<br>

49. Ane
<br>
Q36
<br>
2022
<br>
(A)JE(B)
(c)/()4
<br>
WFot
<br>
wt
<br>
F=2t1+342f
<br>
(A)2124t4
<br>
(8)24343ty
<br>
(y2t343t5
<br>

50. q
<br>
p=
<br>
v=
adt
<br>
(Kuoatls)
<br>
P=jEv
<br>
-
eti+3t)(
<br>
P
2t3+3tS)
<br>
Anirc/
<br>
Sate
<br>
s202y
<br>

51. Ane
<br>
K
<br>
P=K(Constart)
<br>
mvK
<br>
mv
<br>
dt
<br>
V
<br>
Smvdy
sfdt
<br>
Unoer
Tozst
<br>
V222<t
<br>
vrt
<br>
FVk
<br>

52. Ans
<br>
(B)235
0
<br>
h
50m
0
5)
<br>
d.v(7)
<br>
dt
<br>
-t
<br>
PxV
<br>
t
<br>
150nm
<br>
t(ab)
<br>
HfG(astewes)
<br>
5Y
<br>
mn
<br>
)3.6X16)
<br>
60
<br>
5X/6
<br>

53. t
<br>
meution
<br>
S2
<br>
J,cal,
ev,watl-sec.
<br>
koh(gna)/Unit
<br>

54. 1
g
<br>
1
<br>
1|<0h
<br>
1<wh
10o0X
3600-S
<br>
1
ko
h
3.6
X10
J
<br>
Uit
<br>
(gfaa)
<br>
Culam
ValtJ
<br>

55. Joth
Class
Bostc
<br>
eafaasf
<br>
meclhan'aal
<br>
P6'ental
<br>
(
2iyadEnengg)Radiant
<br>
(ElectroalFhengA)
<br>
(HeatEnengt)(ueynal)
<br>
(Sound
Eneg)
<br>
orl (Grouitatiomal
Beg)
<br>
-grer,sf
(megnatieBeng)
<br>

56. Ex.
<br>
mechaniclEnyCaffss ):
<br>
The
<br>
X
<br>
notien
<br>
mechacal
<br>
cquod
to
<br>
ht
<br>
poteuti
<br>
positn
<br>
object
hasdlueto
<br>
Jhemechaubalonego
<br>
an
oajeat
<br>
its'nete
eLe
<br>
Gbjeot
topem werk.
<br>
eucbleethe
<br>

57. feufoy
<br>
T
<br>
(a) SR
<br>

58. (3)
<br>
(9)
<br>
Pstetia
<br>
(b)
<br>
KinetieEneh
<br>

59. (a)sifas (Kinetic
<br>
(6)
<br>
Enegy
<br>
K.E.
<br>
(b GraUitatimalfesteutilEeng
<br>
Elastie()
<br>
Eregt)
<br>
(KineticEnegt
<br>
met)
<br>
KE-
mv
<br>
KE,
my
<br>
(s-
atj
<br>

60. Relaticn
bKEk
<br>
Li)
<br>
KE
- mv
<br>
KE m2
v
<br>
k
<br>
eR)<E=
<br>
KE
<br>
KE
V2
<br>
p2
<br>
momentum
<br>
p=
<br>
2m
<br>
m-íny
<br>
KEd
p
<br>
P-134a
<br>

61. a
KE
<br>
(A)A¢.
<br>
elheng
<br>
KEZ
<br>
KEdp
<br>
-a)*ico
<br>

62. Note
<br>
Work
-KE
Theorem
<br>
INorlsdene
<br>
+
<br>
W=KE
<br>
Conseete
<br>
Snal
<br>
Jencenehvefile
<br>
-
<E
<br>
iihal
<br>
neenKE.
<br>
alvas
<br>
=KE
<br>
Pasii
ve
<br>

63. (c)s9(The
KiEae
<br>
(o)=
<br>
KE
<br>
p2
<br>
20
<br>
KEX
1
<br>
(Ans-A
<br>
Body)
<br>
eysIe|
a
:
<br>

64. Ans
<br>
(a)
m,:
m,
<br>
KE
<br>
PmKE
<br>
PoJn
<br>
P:
P
=
Jm,:Jm
<br>
(a)n
<br>
Cb)
mn,:m
<br>
20)
<br>
KE
<br>
(b)2n
<br>
kE
p
<br>
Ans-C
<br>
1<E,kE
<br>
KE
n
RE
<br>
Ans-)
<br>

65. Ans
<br>
BX6
<br>
bJ
pSBomb
<br>
12kg
<br>
(H)43J
<br>
(B)288J
<br>
)
<br>
AnerB
<br>

66. Ans
<br>
Qy9
<br>
Ang
<br>
(9)
4$
<br>
3
<br>
KE
=
Csnatcut
<br>
Pi
<br>
(b)J:1
Cc)
<br>
pmE
<br>
Cc)
1:2
<br>
(a)97ufRatdare
<br>
2
<br>
132
<br>

67. Ans
<br>
(a)
23lb)1J
Cc)4
(d)2T
<br>
Ca)50%
<br>
KE.
<br>
(d)25
%
<br>
(b)100y•()257
<br>

68. kE
=
kE
<br>
3P
<br>
KE,=?
<br>
KE
p
<br>
2.
<br>
J<E
<br>
2.AKE-(k,-KE,)ID-9
<br>
1<E
<br>
KE2
<br>
4p2
<br>
2
<br>
KE,-KE
<br>
507.
<br>
AKE=KE,-<E,
<br>
KE-KE
<br>
AKE KE
<br>
..
cla
<br>
I50.
<br>
h)orectmeths
<br>
LCm
<br>
50150t
<br>
5øx50
<br>
=
|25.)
<br>

69. Ane
<br>
P
<br>
Pi
<br>
-
<br>
(a)l6oy.(b)150%
<br>
Ex,Ek
<br>
Eg<p2
<br>
PJE
K
<br>
JEk
<br>
EK
<br>
Ext
36D7.EK
<br>
(b)150%(c)
J3oD/.
<br>
-:
Jy2
<br>
Ap
-P,
<br>
=2p-p
<br>
method
<br>
Ek)
<br>
-1)X0
<br>
uEK-1
<br>
Ek
<br>
2-1
X
(60
<br>

70. 2ndGroade9023
<br>
(6)22
+
1)mls
<br>
Ek,-EK
<br>
ÉK2Ej
<br>
KE nv2
<br>
(Sanakrit)
<br>
e
<br>
EK
<br>
(1)
22-1)
m)s
<br>
2EK
(v42)
<br>
q+3+2ab
<br>
V
<br>
V
<br>
-b+]-y9c
<br>
2
<br>
V+2]2
<br>

71. 15
Gyrane2002
<br>
afy
<br>
(a)
Fo
<br>
Ane
<br>
masFoek
<br>
mVdu
<br>
tb)KF,(o
Foecd)k*Fo
<br>
m
vdr oeke
<br>
d
<br>
2
<br>
Foe
k
<br>
goK
<br>
KE=
Fo
<br>
K
<br>
KEmax
<br>
=Fo
<br>

72. (b)
<br>
foslyf(PototialEiegy)
<br>
Eneghcnsistingosibionypastiele
<br>
Poteta
<br>
Jalosledonetohold
a
specelpoitcn
any
<br>
pasbiole equaleto
<br>
dependson
<br>
P.E
<br>
conSEtVatekoree.
<br>

73. F-du
<br>
SU
<br>
Sx
<br>
Sy
<br>
:=
-du
<br>
dusF.ds
<br>
AU
=-
<br>
conseatio
<br>

74. i)
<br>
U=2x+2y
+22
<br>
P.E
<br>
Su
<br>
tm)Fs-Su
<br>
=
-(2)
<br>

75. AU
<br>
Gmm,
<br>
m,dr
<br>
Gm2
<br>
-2117
<br>
YU:
<br>
-(B0n2chS)
<br>

76. F=m
()9o)
<br>
AU=-Fdr
<br>
A0-mg
lo)
-my
<br>
K9,92
<br>
dr
<br>
ngh
<br>
yconstant
<br>
RE)
<br>

77. Fnet
<br>
du
<br>
dr
<br>
Elasthe
<br>
-SF.dr
<br>
F-kx
<br>
KY.d
<br>
(-))
<br>
(2129199])
<br>
migreticn
<br>
(Sprig)
<br>
fadePadtg
<br>
Hai
<br>

78. (1)zonNAEJ
<br>
U
<br>
du
<br>
dy2
<br>
D
<br>
A
<br>
Umin.
<br>
Umin
<br>
Umax
<br>
U=max
<br>
C
<br>
X
<br>
(3)
<br>
da
<br>

79. LOoslkolemetopull
<br>
Work
<br>
TotalLenythchain
<br>
n
<br>
k
<br>
Fodx
<br>
Assume
<br>
tolal
nass
<br>
chain
<br>
2n2
<br>
LX2h2
<br>
2n2
<br>
tabl
<br>

80. Q.50
<br>
Ans
<br>
(9)
<br>
Total
massofcha'y
<br>
L
Tatlleugt
o
ohan
<br>
h
<br>
O.1Jgube
<br>
O20T)
<br>
'AU=?
<br>
-9
o625-
O.0400)
<br>
-5/o.225)
<br>
(b)o.23oule
<br>
=]225J
<br>
An-g
<br>

81. Q.51
<br>
Ang
<br>
15
00
N
<br>
(a)4:1 (b)184
<br>
Ars Kj=
15oo
N
<br>
U-K(-
x)
<br>
UK2
A2
<br>
k
<br>
FKA
<br>
Cc)
<br>
Ud
<br>
Uj
<br>
2°1
<br>
U
<br>
1
<br>
K2
<br>
KI
<br>
K
<br>
1SUD
<br>

82. Q.52/
<br>
Ans
<br>
Q.53
<br>
(4)Cngtaut
<br>
(c)
X2
<br>
U=A-Bx
<br>
F=
-
du
<br>
dx
<br>
F
(0-23x)
<br>
F2Bx
<br>
FdX
<br>
(a)96T
<br>
h=bUCm
<br>
=bUX6-)
<br>
(6)
Pruporetionaltux
<br>
As-b
<br>
b)g0J(c)1980J
<br>
,U=A-B
<br>
C0)Nonethese
<br>
20X9.X56Xl0
<br>

83. 2n2
<br>
(b)
3.6()20J
<br>
nn
<br>
-
<br>
O.6
<br>
20
<br>
GOCm
<br>
()120oJ
<br>
36
<br>

84. Q.55
<br>
An
<br>
U=AX~By2
<br>
dyc
<br>
=-(A-
28)c)-D
<br>
A
2
BX
<br>
28
<br>
U-AXBy2
<br>
du
<br>
d
<br>
UAx
-
Bx2
&RT
<br>
d
<br>
ay
<br>
A-2Bx
<br>

85. Lawof
<br>
conser
a
tey
ec
haneal
biagy
<br>
+ K.E,
<br>
Total
enngyof
auy
pticle
<br>
ferm.
<br>
censervesl.
Ilhelher
becreated
<br>
be
dlestreyed,can
<br>
he
thrensfeee
<br>
bo
toancthen
<br>

86. h
<br>
X
<br>
U=o
<br>
h-x
<br>
ni)fag
<br>
h-x
<br>
B
<br>
PE
<br>
U=0
<br>
kE%
mv
<br>
PE= h
<br>
m(h-)
<br>
V22428
<br>
PEmgh
<br>
KE my
<br>
KE
m
(29)
<br>
KE
m
<br>
i)fagc
K
<br>
h=o
<br>
PE=th
<br>
(KE%2
<br>
V2-0t23h
<br>
kEn(2h)
<br>
KE
m
<br>
T.E=m%h
<br>
TE-mg(x)
tmg
<br>
myhmgrg
<br>
TE my
<br>

87. PE
<br>
Note
<br>
Note
<br>
hmgx.
<br>
KE
<br>
hmqx>PE=ma
<br>
Downavahde
<br>
KE
PE
<br>
KE
PE
<br>
PE
dyUo
<br>
KEO
<br>
h=o
<br>
PE=O
<br>
PE-L
<br>
KET
<br>
Vmax,
<br>
PE
<br>
KE mX,
<br>
KE
<br>
V KET
<br>
KE
a
X,
<br>
Udh
<br>
T85StnglePenclulumh)
<br>

88. (A
<br>
H=S
<br>
Ans
<br>
BtKE
=
BPE
<br>
66
<br>
h-x
<br>
Atoint
B-
<br>
PEB A
<br>
(3)
<br>
(s-)
<br>
(s)
<br>
Ashich
<br>
x3s
<br>
35
<br>
9ir
<br>
VU+2
<br>
2
<br>
8cv-385
<br>
2
<br>

89. .57|
<br>
Ans
<br>
fo
<br>
A
<br>
50/,
<br>
Ball
<br>
()jLmls
<br>
Vo
20m/s
A
<br>
V-0
<br>
S-h
<br>
V-paiox20
<br>
PE=O
<br>
(8)20le
()2bm/
<br>
-5KE-N2
<br>
KE20m
<br>
TEB
<br>
Va
<br>
(3-1om/sy
<br>
V=
U+2g
<br>
=50%.TEA
<br>
TEn
TEg40D
m
<br>

90. .59
<br>
84
h=16
<br>
A
<br>
=1X)0
X
1%
<br>
ndGradeChapte
<br>
=130T
<br>
ATE 200-/00
<br>

91. Fron)IOth
CloagsBopk
<br>
P.E.
<br>

92. Exonple Plectviebnegy
<br>

93. d)
<br>
EleoticHeate
teneS
<br>
(e) t
<br>

94. Chat
GPT
<br>
Heat
Ereht(sojs)
<br>
8an)8stoules
oRCalores
<br>

95. O
Nucleatnesy(ifoe
5)
<br>
Lfesion
<br>
ChemlealEneg(*791fasS)
<br>
Atrn)eGeeg
)
<br>

96. GuavitatiemalEhegt
<br>
mMagnetie
<br>
Enegy
<br>

97. WorldofWisdom
<br>
YOURWISDOM
<br>

98. atsnz
<br>
furatfirrurtT4
<br>
12THBIO100%(2023)
<br>
fre:tfazfruf
<br>
firvarfan
<br>
frqmargRgefisth
<br>
faroaiHTt
fa, Hf
<br>
favavfr
<br>
fa
T
<br>
4T
HIChR23-05-2023
<br>
fuatfreURSEIE
<br>
KUCHAMAN CITY
<br>
fue:uRTH
<br>
fireurIR
<br>
aftot(e)
<br>
firqaruqR
<br>
at:faTŽ
<br>
fayevfer
<br>
frvarR
ftfirg
<br>
futreet
<br>
Paffnt
(ems)
<br>
firventhe
<br>
faast
<br>
FA
f
<br>
faa
<br>
IT:farT
<br>
frastssfar
f
<br>
RellNe.
<br>
Neme
<br>
Father'sName
<br>
Mother'eName
<br>
Sehael/Center's
<br>
Name
<br>
SubjeetMeme
<br>
furtsaUrTH
<br>
TT:fT
<br>
Aftt
(ere)
<br>
Pafft
(emsi)
<br>
fu:teIH
<br>
fan
<br>
fuqenR
<br>
BardfSendaryBtlenRajaathen
<br>
RajaathanBoard12hSeieneeResalt2023
<br>
HINDI(COMP)
<br>
ENGLISH(coHP)s1
<br>
aftot(e)
<br>
AA ()
<br>
fauer
<br>
PersonalDetsle
<br>
2678969
<br>
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<br>
HIDAYATULLAH
<br>
PHYSICs
<br>
CHEMIITRY 045O14
<br>
BIOLOGY
<br>
firarcf
<br>
RAHMATKHATU
<br>
(119132o)sHRIKRISHNABAL
S8
<br>
SRSDC
<br>
sCH,KUCHANANCITY(NAGAUR)
<br>
HarkaDtale
<br>
062
<br>
020
<br>
sf
<br>
056O14
<br>
MartaOtaled
<br>
020 071
<br>
O14 041
<br>
TH68
<br>
O70
<br>
Tetal
<br>
O71
<br>
O71
<br>
088D
<br>
100D
<br>
R
fR,
R,
TE,
,,
<br>