Elasticity

mnKvix Aa¨vcK
I
wefvMxq cÖavb
A_©bxwZ wefvM
KvwUinvU gwnjv wek^we`¨vjq K‡jR
nvUnvRvix,PÆMÖvg|
-01815957646,01991953064
:Prof.haradhannath826@gmail.com

wØZxq Aa¨vq
Pvwn`vi w¯’wZ¯’vcKZv wK?
w¯’wZ¯’vcK Pvwn`v I
Aw¯’wZ¯’vcK Pvwn`vi cv_©K¨
wjL|

1. Pvwn`v wewa wK ej‡Z cvi‡e|
2.Pvwn`v wewa e¨vL¨v Ki‡Z cvi‡e|
3.Pvwn`v w¯’wZ¯’vcKZvi msÁv ej‡Z cvi‡e|
4.Pvwn`v w¯’wZ¯’vcKZvi m~Î wjL‡Z cvi‡e|
5.Pvwn`v w¯’wZ¯’vcKZvi gvb †ei Ki‡Z cvi‡e|

msÁv
Aa¨vcK gvk©v‡ji
g‡Z,
Ó`v‡gi cwieZ©‡bi d‡j
Pvwn`v †h `ªæZZv ev
axiZvi mv‡_ cwiewZ©Z
nq,Zv‡K Pvwn`vi
w¯’wZ¯’vcKZv e‡j|Ó
Pvwn`v A‡cÿ‡Ki †h
†Kvb GKwU ¯^vaxb Pj‡Ki
Av‡cwÿK ev kZvswkK
cwieZ©‡bi d‡j Pvwn`vi
†h Av‡cwÿK ev kZvswkK
cwieZ©b N‡U,Zvi
AbycvZ‡K Pvwn`vi
w¯’wZ¯’vcKZv e‡j|Ó

Pvwn`vi
w¯’wZ¯’vcKZvi m~Î
Ep=w¯’wZ¯’vcKZvi
cÖZxK
P=cÖv_wgK `vg
Ep
=
Q=cÖv_wgK Pvwn`v
dQ=`v‡gi cwieZ©b
dP=Pvwn`vi
cwieZ©b

`v‡gi kZKiv
cwieZ©‡bi †P‡q
Pvwn`vi kZKiv
cwieZ©b hw` †ekx nq
Z‡e GÕ`yÕ‡qi
AbycvZ‡K w¯’wZ¯’vcK
Pvwn`vi e‡j|
`v‡gi kZKiv
cwieZ©‡bi †P‡q
Pvwn`vi kZKiv
cwieZ©b hw` Kg nq
Z‡e GÕ`yÕ‡qi
AbycvZ‡K
Aw¯’wZ¯’vcK Pvwn`vi
e‡j|

w¯’wZ¯’vcK Pvwn`v
mswgkÖb
we›`y
Aw¯’wZ¯’vcK Pvwn`v
`vg Pvwn`v `vg Pvwn`v
( P) ( Q) ( P) ( Q)
we›`y
10 100
a(10,100)
10 100 a(10,100)
09 150 b(09,150)
mswgkÖb
09 105 b(09,150 )

Ep= p Q . dQ
dP
=(10/100)(50/1)
=500/10=5>1
P=10,Q=100
dp=10-9=1
dQ=150-
Ep=5>1
100=50

Ep= p Q . dQ
dP
=(10/100)(5/1)
=50/100=0.5<1
P=10,Q=100
dp=10-9=1
dQ=105-100=5
Ep=0.5<1

P( `vg)
D
w¯’wZ¯’vcK Pvwn`v †iLv
10
a(10,100)
09
0
100
b(9,150)
D
150 Q( cwigvb)

P( `vg) D
Aw¯’wZ¯’vcK Pvwn`v †iLv
10
a(10,100)
09
b(9,105)
0
100
D
105
Q( cwigvb)

w¯’wZ¯’vcK Pvwn`v
1.Pvwn`vi cwieZ©b
†ekx,`v‡gi cwieZ©b
Kg|
2.w¯’wZ¯’vcK Pvwn`vi
gvb G‡Ki AwaK wKš‘
Amx‡gi †P‡q Kg|
Aw¯’wZ¯’vcK Pvwn`v
1.Pvwn`vi cwieZ©b
Kg,`v‡gi cwieZ©b
‡ekx|
2.Aw¯’wZ¯’vcK Pvwn`vi
gvb k~‡b¨i AwaK wKš‘
G‡Ki†P‡q Kg|

‡gŠwjK cv_©K¨
3.G‡ÿ‡Î `ª‡e¨i `vg e„w×
†c‡j †gvU e¨q n«vm
cvq,`vg n«vm †c‡j †gvU
e¨q e„w× cvq|
4.wejvmRvZxq `ª‡e¨i
‡ÿ‡Î GUv N‡U|
5.G‡ÿ‡Î `vg cÖfve
AwaK|
3.G‡ÿ‡Î `ª‡e¨i `vg
e„w× †c‡j †gvU e¨q
e„w× cvq,`vg n«vm †c‡j
†gvU e¨q n«vm cvq |
4.wbZ¨cÖ‡qvRbxq `ª‡e¨i
†ÿ‡Î GUv N‡U|
5.G‡ÿ‡Î `vg cÖfve
Kg|

wb‡¤œi ZvwjKv †_‡K `ª‡e¨i w¯’wZ¯’vcKZvi gvb wbY©q Ki Ges mswjó
cÖ‡kœi DËi `vI|
`vg (P )
Pvwn`v(Q)
10 100
08 150
1.Pvwn`v w¯’wZ¯’vcKZvi gvb wbY©q Ki|
2.K-`ªe¨wU †Kvb RvZxq `ªe¨?

`vg (P )
Pvwn`v(Q)
10 100
08 150
3.ZvwjKv †_‡K K-`ª‡e¨i Pvwn`v †iLv wbY©q Ki|
4.wbZ¨ cÖ‡qvRbxq `ª‡e¨i w¯’wZ¯’vcKZvi KZ nq?
5.wejvm RvZxq `ª‡e¨i ¯’wZ¯’vcKZvi KZ nq?

1. Ep=
ev, Ep=
ev, Ep =2.5

2.wejvm RvZxq `ªe¨

`vg(P)
10
D
a(10,100)
08
b(08,150)
D
O
100 150
Pvwn`v(Q)

4.wbZ¨ cÖ‡qvRbxq `ª‡e¨i w¯’wZ¯’vcKZvi
gvb G‡Ki †P‡q Kg|
5.wejvm RvZxq `ª‡e¨i w¯’wZ¯’vcKZvi
gvb G‡Ki ‡P‡q †ekx|

1.m¤ú~b© Aw¯’wZ¯’vcKZv Pvwn`v Kv‡K e‡j?
2. m¤ú~b© Aw¯’wZ¯’vcKZv Pvwn`v ‡iLv †Kgb?
3. m¤ú~b© w¯’wZ¯’vcKZv Pvwn`v Kv‡K e‡j?
4. m¤ú~b© w¯’wZ¯’vcKZv Pvwn`v †iLv †Kgb ?

1 I 2 bs cÖ‡kœi DËi
1.`v‡gi kZKiv
cwieZ©‡bi mv‡_ Pvwn`vi
hw` †Kvbiæc cwieZ©b bv
nq Z‡e G `yÕ‡qi
cwieZ©‡bi AbycvZ‡K
2. m¤ú~b© Aw¯’wZ¯’vcKZv
Pvwn`v ‡iLv j¤^ A‡ÿi
mgvšÍivj|
m¤ú~b© Aw¯’wZ¯’vcKZv
Pvwn`v e‡j |

3 I 4 bs cÖ‡kœi DËi
4.m¤úyb© w¯’wZ¯’vcK
3.`v‡gi cwieZ©b bv
nIqv m‡Ë¡I Pvwn`vi hw`
Pvwn`v f‚wg A‡ÿi
mgvšÍivj|
e¨vcK cwieZ©b nq Z‡e
G `y‡qi AbycvZ‡K
m¤ú~b© w¯’wZ¯’vcK Pvwn`v
e‡j|

evoxi
KvR
Pvwn`v w¯’wZ¯’vcKZv ej‡Z wK
eyS? wewfbœ cÖKvi Pvwn`v
w¯’wZ¯’vcKZv wP‡Îi mvnv‡q¨ eY©bv
Ki|

A_©bxwZ
cÖ_g cÎ
GKv`k-Øv`k †kÖwY
iYwRZ Kzgvi bv_