Phys10 Secnd Maj-09 Ze Vesin Cdinat: k Wednesday, May 05, 010 Page: 1 Q1. A ht bject and a cld bject ae placed in themal cntact and the cmbinatin is islated. They tansfe enegy until they each a final equilibium tempeatue. The change in the entpy f the ht bject ( S h ), the change in the entpy f the cld bject ( S c ), and the change in the entpy f the cmbinatin ( S ttal ) ae: A) S h < 0, S c > 0, S ttal > 0 B) S h > 0, S c > 0, S ttal > 0 C) S h < 0, S c > 0, S ttal = 0 D) S h > 0, S c < 0, S ttal > 0 E) S h > 0, S c < 0, S ttal < 0 Q. A Cant heat engine peates between 300 K and 500 K. T duble the efficiency, the tempeatue f the ht esevi is fixed, and the tempeatue f the cld esevi is changed t: A) 100 K B) 150 K C) 00 K D) 50 K E) 350 K Q3. Five mles f an ideal mnatmic gas ae cled fm 5.0 C t 18.0 C. What is the change in the entpy f the gas if the cling is dne at a cnstant pessue f 1.00 atm? A) 16. J/K B) + 16. J/K C) 34.1 J/K D) + 34.1 J/K E) 9.71 J/K Q4. Tw fixed paticles f chages q 1 = + 3.0 10-6 C and q = 7 10-6 C, ae 10 cm apat. Hw fa fm q 1 shuld a thid chage be lcated s that the net fce n it is ze? A) 5.0 cm B) 15 cm C) 0 cm D) 10 cm E) 35 cm Q5. Tw neutal metal sphees ae sepaated by 300 m. Hw many electns must be tansfeed fm ne sphee t the the s that thei fce f attactin has a magnitude f 10 6 N? A) 10 19 B) 1 10 19 C) 3 10 19 D) 0.5 10 19 E) 4 10 19 King Fahd Univesity f Petleum and Mineals
Phys10 Secnd Maj-09 Ze Vesin Cdinat: k Wednesday, May 05, 010 Page: Q6. Figue 1 shws a paticle with psitive chage and a paticle with negative chage, bth fixed in place. What is the electic field at pint P? [Take = 1.00 µc] A) + 43 ĵ (N/C) B) 43 ĵ (N/C) C) + 576 ĵ (N/C) D) 576 ĵ (N/C) E) 540 î (N/C) Q7. An electic diple cnsists f a paticle with a chage f +6.0 10 6 C at the igin and a paticle with a chage f 6.0 10 6 C n the x axis at x = 3.0 10 3 m. Its diple mment is: A) 1.8 10 8 C.m, in the negative x diectin B) 1.8 10-8 C.m, in the psitive x diectin C) 0 because the net chage is 0 D) 1.8 10 8 C.m, in the psitive y diectin E) 1.8 10 8 C.m, in the negative y diectin Q8. A ptn with a speed f 4.0 10 6 m/s mves in unifm electic field f 3.8 10 3 N/C. The field is acting t deceleate the ptn. Hw fa des the ptn tavel befe it is bught mmentaily t est? A) m B) 5.6 µm C) 55 µm D) 44 m E) 11 m Q9. A nn-unifm electic field given by = 3.0 x î + 4.0 ĵ pieces the Gaussian suface that is in the fm f a cylinde f adius 1.0 m (see Figue ). What is the net chage inside the cylinde? King Fahd Univesity f Petleum and Mineals
Phys10 Secnd Maj-09 Ze Vesin Cdinat: k Wednesday, May 05, 010 Page: 3 A) 6πε ο B) 1 πε ο C) 1 πε ο D) 6 πε ο E) ze Q10. Thee paallel psitively-chaged nn-cnducting sheets ae sepaated by a distance d between adjacent sheets. The suface chage density n each f the sheets is σ. The electic field in the egins between adjacent sheets has magnitude: A) σ/ε B) σ/ε C) 3σ/ε D) σ/3ε E) ze Q11. Figue 3 shws a css sectin f a neutal spheical metal shell f inne adius R. A pint chage q = 5.0 µc is lcated at a distance 4R/5 fm the cente f the shell. Pints 1,, 3, and 4 ae all the same distance fm the cente f the spheical shell. At which pint is the magnitude f the electic field the lagest? King Fahd Univesity f Petleum and Mineals
Phys10 Secnd Maj-09 Ze Vesin Cdinat: k Wednesday, May 05, 010 Page: 4 A) The electic field is the same at pints 1,, 3 and 4 B) The electic field is ze utside a cnduct C) Pint 1 D) Pints and 3 E) Pint 4 Q1. A vey lng nn -cnducting cylinde f adius 4.0 cm has a unifm vlume chage density f 5 µc/m 3. What is the magnitude f the electic field at =.0 cm, whee is the distance fm the axis f the cylinde? A).8 10 4 N/C B) 5.6 10 4 N/C C) 1.8 10 4 N/C D) 4.7 10 3 N/C E) ze Q13. A chage f +8 nc is placed at the igin in a unifm electic field that is diected alng the psitive y-axis and has a magnitude f 4.0 10 4 V/m. The wk dne by the electic field when the chage mves t the pint (3.0 m, 4.0 m) is: A) +4.5 mj B) +6.0 mj C) +3.4 mj D) 4.5 mj E) 6.0 mj Q14. An electn is placed in an xy plane whee the electic ptential depends n x and y as shwn in Figue 4 (the ptential des nt depend n z). What is the electic field (in units f kv/m)? A) 5 î ĵ B) 5 î + ĵ C) 5 î + ĵ D) 5 î + ĵ E) 10 î ĵ King Fahd Univesity f Petleum and Mineals
Phys10 Secnd Maj-09 Ze Vesin Cdinat: k Wednesday, May 05, 010 Page: 5 Q15. An islated cnducting sphee has adius R = 0.0 m and a chage f +0 µc. Pint A is at a distance f 3R fm the cente f the sphee. If V C is the electic ptential at the cente f the sphee, what is the electic ptential diffeence V C V A? A) +6.0 10 5 V B) 6.0 10 5 V C) +1. 10 7 V D) 3.0 10 5 V E) +3.0 10 5 V Q16. An electn is pjected with an initial kinetic enegy f 3.6 10-4 J twad a fixed ptn. If the electn is initially infinitely fa fm the ptn, at what distance fm the ptn is its speed equal t twice its initial speed? A) 1 µm B) 16 µm C) 83 µm D).9 µm E) 3.8 µm Q17. Thee electns ae initially infinitely fa fm each the. Hw much wk (by an extenal agent) is equied t place them n the cnes f an equilateal tiangle f side length 1.00 nm? A) + 6.91 10-19 J B) 6.91 10-19 J C) +4.61 10-19 J D) 4.61 10-19 J E) +89.9 10-19 J Q18. Thee capacits ae aanged as shwn in Figue 5. C 1 has a capacitance f 5.00 pf, C has a capacitance f 10.0 pf, and C 3 has a capacitance f 15.0 pf. Find the chage sted in capacit C 1 if the vltage dp acss C is 311 V. A) 7.78 nc B) 1.56 nc C) 5.0 nc D) 15.6 nc E) 3.89 nc King Fahd Univesity f Petleum and Mineals
Phys10 Secnd Maj-09 Ze Vesin Cdinat: k Wednesday, May 05, 010 Page: 6 Q19. Each f the thee 5-µF capacits shwn in Figue 6 is initially unchaged. Hw much chage is sted in the cmbinatin afte the switch S is clsed? S 4000 V A) 0.30 C B) 0.10 C C) 0.0 C D) 0.050 C E) 5.0 C Q0. In Figue 7, tw capacits, C 1 =.00 µf and C = 5.00 µf, ae sepaately chaged by a 100-vlt battey and then cnnected, with ppsite plaity, by clsing switches S 1 and S. What will be the ptential diffeence acss C 1 afte the switches ae clsed? A) 4.9 V B) 95. V C) 100 V D) 71.4 V E) 84.5 V King Fahd Univesity f Petleum and Mineals
iˆ, jˆ and kˆ ae unit vects alng the psitive diectins f x-axis, y-axis and z-axis espectively. T c = T 73 Q = n C V T Q = n C P T W = Q H Q L ε = W Q H = 1- Q Q QL K = W dq S = T kq1q F =, F = q 0 E Φ = E. da, E = Suface kq E =, E = 3 R L H kλ kq v = v + at 1 x x = v t + at v = v + a(x x ) R = 8.31 J/ml K ε 0 = 8.85 10-1 C /N.m k = 9.0 10 9 N.m /C e = -1.6 10-19 C m e = 9.11 10-31 kg m p = 1.67 10-7 kg g = 9.8 m/s mic ( µ ) = 10-6 nan (n) = 10-9 pic (p) = 10-1 kq V =, W = ± U B U V = V B - V A = - E.ds = q A 0 V V V E x =, E y =, E z = x y z kq1q U = 1 Q ε 0A ab C =, C =, C = 4πε V d b a,