Muenzaniso weKuwedzera

Mienzaniso 9 yeMibvunzo yeKuwedzera

1. Pepa resimbi patembiricha ye20 ^o C rine saizi dzakaratidzwa pamufananidzo. Kana coefficient yekuwedzera kwesimbi iri 10 ^{-5 o} C ^-1, saka kuwedzera kwenzvimbo patembiricha ye60 ^o C ndiko...

A. 0,08 cm²

B. 0,16 cm ²

C. 0,24 cm ²

D. 0,36 cm ²

E. 0,64 cm ²

Kukurukurirana

Zvinozivikanwa kuti :

Kureba kwesimbi = 40 cm

Upamhi hwesimbi = 20 cm

Nzvimbo yekutanga yesimbi (Ao ₎ = (40)(20) = 800 cm ²

Muyero wekuwedzera kwemutsara (α) wesimbi = 10 ^{-5 o} C ^-1

Chikamu chekuwedzera kwenzvimbo (β) = 2 x kureba kwekuwedzera kwenzvimbo (2α) = 2 x 10 ^{-5 o} C ^-1

Musiyano wekupisa (ΔT) = 60 ^o C – 20 ^o C = 40 ^o C

Mubvunzo : Kuwedzera kwenzvimbo yesimbi pakupisa kwe60 ^o C

Mhinduro :

Fomura yekuwedzera nzvimbo :

ΔA = β A _o ΔT

Tsananguro yefomura:

ΔA = kuwedzera kwenzvimbo, β = coefficient yekuwedzera kwenzvimbo, A _o = nzvimbo yekutanga, ΔT = shanduko yekupisa = tembiricha yekupedzisira - tembiricha yekutanga

Kuwedzera kwenzvimbo yesimbi :

ΔA = β A _o ΔT

ΔA = (2 x 10 ^-5 )(800)(40) = 0,64 cm

Mhinduro chaiyo ndiE.

2. Ndiro yesimbi patembiricha ye20 ^o C ine saizi sezvakaratidzwa mumufananidzo. Kana tembiricha ikawedzera kusvika 100 ^o C uye coefficient yekuwedzera kwesimbi iri 1,1 x 10 ^{-7 o} C ^-1 , saka nzvimbo yayo ichave...

A. 4,0000106 m²

B. 4,0000140 ^m2

C. 4,0000376 m ²

D. 4,0000704 m ²

E. 4,0000726 m ²

Kukurukurirana

Zvinozivikanwa kuti :

Kureba kwesimbi = 2 m

Upamhi hwesimbi = 2 m

Nzvimbo yekutanga yesimbi (Ao ₎ = (2)(2) = 4 ^m2

Kuwanda kwekuwedzera kwesimbi (α) = 1,1 x 10 ^{-7 o} C ^-1

Chikamu chekuwedzera kwenzvimbo (β) = 2 x kureba kwekuwedzera kwenzvimbo (2α) = 2,2 x 10 ^{-7 o} C ^-1

Musiyano wekupisa (ΔT) = 100 ^o C – 20 ^o C = 80 ^o C

Mubvunzo : Nzvimbo yesimbi patembiricha ye100 ^o C

Mhinduro :

Kuwedzera kwenzvimbo yesimbi :

ΔA = β A _o ΔT

ΔA = (2,2 x 10 ^-7 )(4)(80) = 704 x 10 ^-7 = 0,0000704 m ²

Nzvimbo yesimbi :

Nzvimbo yesimbi = nzvimbo yekutanga + kuwedzera kwenzvimbo

Nzvimbo yesimbi = 4 m ² + 0,0000704 m ²

Nzvimbo yesimbi = 4,0000704 ^m2

Mhinduro chaiyo ndiD.

3. Ndiro yakagadzirwa nebronze (α = 18.10 ^{-6 o} C ^-1 ) patembiricha ye0 ^o C ine saizi sezvakaratidzwa mumufananidzo. Kana ndiro yacho yapiswa kusvika 80 ^o C, saka kuwedzera kwenzvimbo yendiro yacho...

A. 0,576.10^-4 m²

B. 1,152.10 ^-4 m ²

C. 2,304.10 ^-4 m ²

D. 3,456.10 ^-4 m ²

E. 4,608.10 ^-4 m ²

Kukurukurirana

Zvinozivikanwa kuti :

Kureba kwebhuronzi = 40 cm = 0,4 metres

Upamhi hwendarira = 20 cm = 0,2 metres

Nzvimbo yekutanga yebhuronzi (Ao ₎ = (0,4)(0,2) = 0,08 ^m2

Kuwanda kwekuwedzera kwemutsara (α) kwebhuronzi = 18 x 10 ^{-6 o} C ^-1

Chikamu chekuwedzera kwenzvimbo (β) = 2 x kureba kwekuwedzera kwenzvimbo (2α) = 36 x 10 ^{-6 o} C ^-1

Musiyano wekupisa (ΔT) = 80 ^o C – 0 ^o C = 80 ^o C

Mubvunzo : Kuwedzera kwenzvimbo yemhangura patembiricha ye80 ^o C

Mhinduro :

Kuwedzera kwenzvimbo yebhuronzi :

ΔA = β A _o ΔT

ΔA = (36 x 10 ^-6 )(0,08)(80) = 230,4 x 10 ^-6 = 2,304 x 10 ^-4 m ²

Mhinduro chaiyo ndiC.

4. Ngarava yealuminium ine 2000 cm³, yakazadzwa nemvura patembiricha yekutanga ye0^oC. Ipapo mudziyo unodziiswa kusvika tembiricha yasvika 90^oC. Kana chiyero chekuwedzera kwearuminiyamu chiri 24 x 10^-6 (^oC)^-1 uye chiyero chekuwedzera kwehuwandu hwemvura i6,3 x 10^-4 (^oC)^-1, huwandu hwemvura yakadururwa hwaive….

A. 100,94 cm ³

B. 100,84 cm ³

C. 100,64 cm ³

D. 100,54 cm ³

E. 100,44 cm ³

Kukurukurirana

Zvinozivikanwa kuti:

Vhoriyamu yekutanga yemudziyo wearuminiyamu nemvura (Vo ₎ = 2000 cm ³ = 2 x 10 ³ cm ³

Tembiricha yekutanga yemudziyo wearuminiyamu nemvura (T ₁ ) = 0 ^o C

Kupisa kwekupedzisira kwemudziyo wearuminiyamu nemvura (T2 ₎ = 90 ^o C

Kuwanda kwekuwedzera kwearuminiyamu (α) = 24 x 10 ^-6 ( ^o C ) ^-1

Kuwedzera kwehuwandu hwearuminiyamu (γ) = 3α = 3 (24 x 10 ^-6 ( ^o C ) ^-1 ) = 72 x 10 ^{-6 o} C ^-1

Kuwanda kwehuwandu hwemvura (γ) = 6,3 x 10 ^-4 ( ^o C ) ^-1

Mubvunzo: Huwandu hwemvura yakadururwa

Mhinduro:

Fomura yekuwedzera vhoriyamu:

V = Vo _o + γ Vo _o ΔT

V – Vo _o = γ Vo _o ΔT

ΔV = γ V _o ΔT

Information :

V = vhoriyamu yekupedzisira, Vo _o = vhoriyamu yekutanga, ΔV = shanduko muvhoriyamu, γ = coefficient yekuwedzera kwevhoriyamu, ΔT = shanduko mutembiricha.

Verenga shanduko muhuwandu hwemudziyo wearuminiyamu:

ΔV = γ Vo _o ΔT = (72 x 10 ^-6 )(2 x 10 ³ )(90) = 12960 x 10 ^-3 = 12,960 cm ³

Verenga shanduko yehuwandu hwemvura:

ΔV = γ Vo _o ΔT = (6 .3 x 10 ^-4 )(2 x 10 ³ )(90) = 1134 x 10 ^-1 = 113,4 cm ³

Kuchinja kwehuwandu hwemvura kwakakura kupfuura mudziyo wearuminiyamu saka mamwe emvura anodururwa.

Verenga huwandu hwemvura yakadururwa:

113,4 cm ³ – 12,960 cm ³ = 100,44 cm ³

Mhinduro chaiyo ndiE.

5. Bhara resimbi rinodziiswa kusvika patembiricha ye80 ^o C uye kureba kwaro kunosvika 115 cm. Kana coefficient yekuwedzera kwesimbi iri 3.10 ^{-3 o} C ^-1 uye tembiricha yekutanga yesimbi iri 30 ^o C, saka kureba kwekutanga kwesimbi….

A. 100 cm
B. 101,5 cm
C. 102 cm
Kureba 102,5 cm
E. 103 cm

Kukurukurirana
Zvinozivikanwa kuti:
Tembiricha yekutanga (T)₁= = 30^oC
Kupisa kwekupedzisira (T)₂= = 80^oC
Kuchinja kwetembiricha (ΔT) = 80^oC - 30^oC = zana^oC
Kuwanda kwekuwedzera kwesimbi (α) = 3.10^{-3  o}C^-1
Kureba kwesimbi yekupedzisira (L) = 115 cm
Zvinodiwa: Kureba kwekutanga kwesimbi (L)_o)
Mhinduro:

Fomura yekuwedzera kureba:
L=L_o + ΔL
L=L_o + α L_o ΔT
L=L_o (1 + α ΔT)

115 = L_o (1 + (3.10)^-3.50) )
115 = L_o (1 + (150.10)^-3))
115 = L_o (1 + 0,15)
115 = L_o (1,15)
L_o = 115/1,15
L_o = 100 masendimita
Mhinduro chaiyo ndiA.

6. Tsvimbo yesimbi inotanga nehurefu hwe40 cm. Kana yapiswa patembiricha ye80 ^o C, kureba kwayo kunosvika 40,04 cm. Kana coefficient yekuwedzera kwesimbi iri 2,0 x 10 ^{-5 o} C ^-1 , saka tembiricha yekutanga yetsvimbo yesimbi iri….

A. 20 ^oC
B. 22 ^oC
C. 25 ^oC
D. 30 ^oC
E. 50 ^oC

Kukurukurirana
Zvinozivikanwa kuti:
Kupisa kwekupedzisira (T)₂= = 80^oC
Kureba kwekutanga (L)_o) = 40 cm
Kureba kwekupedzisira (L) = 40,04 cm
Kuwedzera kureba (ΔL) = 40,04 cm – 40 cm = 0,04 cm
Kuwanda kwekuwedzera kwesimbi (α) = 2,0 x 10^{-5  o}C^-1
Akabvunzwa: Tembiricha yekutanga (T)₁)
Mhinduro:
Fomura yekuwedzera simbi:
L=L_o + α L_o ΔT
L - L_o = α L_o ΔT
ΔL = α L_o ΔT
ΔL = α L_o (T₂ - T₁)

0,04 = (2,0 x 10)^-5)(4₀)(80 – T₁)
0,04 = (80 x 10)^-5)(80 – T₁)
0,04 = 0,0008 (80 – T)₁)
0,04 = 0,064 – 0,0008 T₁
0,0008 T₁ = 0,064 - 0,040
0,0008 T₁ = 0,024
T₁ = 30^oC
Mhinduro chaiyo ndiD.

7. Pepa resimbi patembiricha ye20^oC ine saizi sezvakaratidzwa mumufananidzo. Kana coefficient yekuwedzera kwesimbi iri 10^{-5 o}C^-1 ipapo kuwedzera kwenzvimbo patembiricha ye60^oC iri…

A. 0,08 cm²
B. 0,16 cm²
C. 0,24 cm²
Kureba 0,36 cm²
E. 0,64 cm²

Kukurukurirana

Mubvunzo uyu une chekuita ne kuwedzera.
Zvinozivikanwa :
Kureba kwesimbi = 40 cm
Upamhi hwesimbi = 20 cm
Nzvimbo yekutanga yesimbi (A)_o) = (40)(20) = 800 cm²
Kuwanda kwekuwedzera kwesimbi (α) = 10^{-5 o}C^-1
Chikamu chekuwedzera kwenzvimbo (β) = 2 x kureba kwekuwedzera kwenzvimbo (2α) = 2 x 10^{-5 o}C^-1
Musiyano wekupisa (ΔT) = 60^oC - 20^oC = zana^oC
Akabvunzwa : Kuwedzera kwenzvimbo yesimbi pakupisa kwemadigirii makumi matanhatu^oC
Jawab :

Fomura yekuwedzera nzvimbo :
ΔA = β A_o ΔT
Tsananguro yefomura:
ΔA = kuwedzera kwenzvimbo, β = chiyero chekuwedzera kwenzvimbo, A_o = nzvimbo yekutanga, ΔT = shanduko yekupisa = tembiricha yekupedzisira - tembiricha yekutanga
Kuwedzera kwenzvimbo yesimbi :
ΔA = β A_o ΔT
ΔA = (2 x 10^-5)(800)(40) = 0,64 cm
Mhinduro chaiyo ndiE.

8. Ndiro yesimbi patembiricha ye20^oC ine saizi sezvakaratidzwa mumufananidzo. Kana suhuyakawedzerwa kusvika pa100^oC uye chiyero chekuwedzera kwesimbi kwakabatana i1,1 x 10^{-7 o}C^-1, zvino nzvimbo iyi yava…

A. 4,0000106 m²
B. 4,0000140 m²
C. 4,0000376 m²
D. 4,0000704 m²
E. 4,0000726 m²

Kukurukurirana
Zvinozivikanwa :
Kureba kwesimbi = 2 m
Upamhi hwesimbi = 2 m
Nzvimbo yekutanga yesimbi (A)_o) = (2)(2) = 4 m²
Kuwanda kwekuwedzera kwesimbi (α) = 1,1 x 10^{-7 o}C^-1
Chikamu chekuwedzera kwenzvimbo (β) = 2 x kureba kwekuwedzera kwenzvimbo (2α) = 2,2 x 10^{-7 o}C^-1
Musiyano wekupisa (ΔT) = 100^oC - 20^oC = zana^oC
Akabvunzwa : Nzvimbo yesimbi patembiricha ye100^oC
Jawab :
Kuwedzera kwenzvimbo yesimbi :
ΔA = β A_o ΔT
ΔA = (2,2 x 10^-7)(4)(80) = 704 x 10^-7 = 0,0000704 XNUMX m²   
Nzvimbo yesimbi :
Nzvimbo yesimbi = nzvimbo yekutanga + kuwedzera kwenzvimbo
Nzvimbo yesimbi = 4 m² + 0,0000704 m²   
Nzvimbo yesimbi = 4,0000704 m²
Mhinduro chaiyo ndiD.

9. Ndiro yakagadzirwa nebhuronzi (α = 18.10^{-6 o}C^-1) patembiricha ye0^oC ine saizi sezvakaratidzwa mumufananidzo. Kana ndiro yacho yapiswa kusvika ku80 ^oC, ipapo kuwedzera kwenzvimbo yeplate kuri...
A. 0,576.10^-4 m²
B. 1,152.10^-4 m²
C. 2,304.10^-4 m²
D. 3,456.10^-4 m²
E. 4,608.10^-4 m²
Kukurukurirana
Zvinozivikanwa :
Kureba kwebhuronzi = 40 cm = 0,4 metres
Upamhi hwendarira = 20 cm = 0,2 metres
Nzvimbo yekutanga yebronze (A)_o) = (0,4)(0,2) = 0,08 m²
Kuwanda kwekuwedzera kwemutsara (α) kwebhuronzi = 18 x 10^{-6 o}C^-1
Chikamu chekuwedzera kwenzvimbo (β) = 2 x kureba kwekuwedzera kwenzvimbo (2α) = 36 x 10^{-6 o}C^-1
Musiyano wekupisa (ΔT) = 80^oC - 0^oC = zana^oC
Akabvunzwa : Kuwedzera kwenzvimbo yemhangura patembiricha ye80^oC
Jawab :
Kuwedzera kwenzvimbo yebhuronzi :
ΔA = β A_o ΔT
ΔA = (36 x 10^-6)(0,08)(80) = 230,4 x 10^-6 = 2,304 x gumi^-4 m²
Mhinduro chaiyo ndiC.

Kwakabva mubvunzo:

Mibvunzo yeNational Examination Physics yeChikoro Chesekondari/Chikoro Chepamusoro Chebasa