Crdinatr: Sunaidi Wednesday, March 06, 2013 Page: 1 Q1. An 8.00 m lng wire with a mass f 10.0 g is under a tensin f 25.0 N. A transverse wave fr which the wavelength is 0.100 m, and the amplitude is 3.70 mm is prpagating n the wire. The magnitude f the maximum transverse acceleratin f a pint n the wire is: A) 29.2 10 4 m/s B) 41.0 10 4 2 m/s C) 35.0 10 3 2 m/s D) 39.0 10 3 2 m/s E) 52.5 10 2 m/s 2 2 Sec# Wave - I - The speed f a Traveling Wave Grade# 53 Q2. A sinusidal transverse wave travels with a speed f 30.0 m/s n a string f length 8.00 m and mass 6.00 g. The average pwer f the wave is 50.0 W. What is the average pwer f the wave if the tensin is increased such that the wave speed is dubled while keeping bth the wavelength and the amplitude fixed. A) 400 W B) 300 W C) 200 W D) 600 W E) 700 W Sec# Wave - I - Energy and Pwer f a Traveling String Wave Grade# 49 Q3. Figure 1 shws a standing wave n a string under a fixed tensin and scillating at a frequency f. Hw many antindes will there be if the frequency is dubled? Fig# A) 6 B) 8 C) 10 D) 4 E) 5 Sec# Wave - I - Standing Waves and Resnance Grade# 58
Crdinatr: Sunaidi Wednesday, March 06, 2013 Page: 2 Q4. Tw identical waves having a phase difference f 0.127 λ and mving in the same directin alng a stretched string. They interfere with each ther and the amplitude f the resultant wave is 14.0 mm. What is the amplitude f each wave? A) 7.60 mm B) 3.28 mm C) 5.01 mm D) 8.20 mm E) 2.88 mm Sec# Wave - I - Interference f Waves Grade# 53 Q5. A standing sund wave in a pipe has five ndes and five antindes. Find the harmnic number n fr this standing wave. A) 9 B) 8 C) 7 D) 12 E) 10 Sec# Wave - II - Surce f Musical Sund Grade# 46 Q6. The pressure in a travelling sund wave is given by the equatin Δp (1.00 Pa) sin π [(0.900 m -1 ) x (315 s -1 )t] Find the sund level f the wave (Take the density f air ρ air 1.21 kg/m 3 ). A) 90.7 db B) 100 db C) 85.0 db D) 75.0 db E) 120 db Sec# Wave - II - Intensity and Sund Level Grade# 48
Crdinatr: Sunaidi Wednesday, March 06, 2013 Page: 3 Q7. Figure 2 shws tw pint surces S 1 and S 2, which are in phase and emit identical waves f wavelength λ. Initially, the surces are at equal distances frm pint P. Then S 1 is mved directly tward P by a distance equal t λ/4 and S 2 is mved directly away frm P by a distance equal t λ/4. Nw the waves at P: Fig# A) Are exactly ut f phase. B) Are exactly in phase. C) Have sme intermediate phase. D) Have path difference equal t λ/4. E) Have phase difference equal t π/4. Sec# Wave - II - Interference Grade# 53 Q8. A sund surce and a truck are appraching each ther with speeds f 50.0 m/s and 30.0 m/s respectively. The surce emits sund waves at a frequency f 0.150 MHz. Find the wavelength f the sund waves reflected back t the surce. (The speed f sund in air is 340 m/s) A) 0.141 cm B) 1.20 cm C) 0.213 cm D) 0.532 cm E) 0.921 cm Sec# Wave - II - The Dppler Effect Grade# 42
Crdinatr: Sunaidi Wednesday, March 06, 2013 Page: 4 Q9. A sample f a gas underges a transitin frm an initial state i t a final state f by tw different paths, if and ibf, as shwn in Figure 3. The energy transferred t the gas as heat alng the path if is 10 p i V i. Find the change in internal energy f the gas fr the path ibf. Fig# p 3p i /2 b p i i f p i /2 V i 5V i V A) 6 p i Vi B) pivi C) (3/2) pivi D) 10 pivi E) (5/2) piv i Sec# Temerature, Heat, and the First Law f Thermdynamics - The First Law f Thermdynamics Grade# 55 Q10. A cubic tank filled with 5.0 kg f water is insulated frm all sides except its tp which is cvered with a square glass sheet f length 2.0 m and thickness 3.0 cm. The water is initially at 20 C. It is expsed fr 20 secnds t the utside envirnment where the temperature is 55 C. Find the change in the temperature f water (assume that heat is distributed unifrmly in the water).(k glass 1.0 W/m.K) A) 4.5 C B) 2.5 C C) 0.6 C D) 1.5 C E) 8.5 C Sec# Temerature, Heat, and the First Law f Thermdynamics - Heat Transfer Mechanisms Grade# 43
Crdinatr: Sunaidi Wednesday, March 06, 2013 Page: 5 Q11. Water at 90.0 C fills a Pyrex tube (radius2.00 cm, height12.0 cm) t the rim. If we ignre the expansin f the Pyrex tube, what will be the height f water if it is cled t 10.0 C. (The cefficient f vlume expansin f water is 207 10-6 /C ) A) 11.8 cm B) 10. 4 cm C) 10. 9 cm D) 9.00 cm E) 9.70 cm Sec# Temerature, Heat, and the First Law f Thermdynamics - Thermal Expansin Grade# 46 Q12. Tw different slid bjects have the same mass and temperature. Equal quantities f energy are absrbed as heat by each. Their final temperatures may be different because the samples have different: A) Specific heats B) Cefficients f thermal expansin C) Latent heat f fusin D) vlumes E) thermal cnductivities Sec# Temerature, Heat, and the First Law f Thermdynamics - The Absrptin f Heat by Slids and Liquids Grade# 63 Q13. An ideal gas initially at a pressure f 1.2 atm and temperature 74 C underges an isthermal expansin t twice its riginal vlume. During the expansin, the gas absrbs 20 kj f heat. Find the number f mles fr this gas? A) 10 B) 12 C) 15 D) 18 E) 20 Sec# The kinetic Thery f Gases - Ideal Gases Grade# 55
Crdinatr: Sunaidi Wednesday, March 06, 2013 Page: 6 Q14. An ideal gas with a vlume V 0 and a pressure P 0 underges a free expansin t vlume V 1 and pressure P 1 where V 1 32V 0. The gas is then cmpressed adiabatically t the riginal vlume V 0 and pressure 4P 0. The rati f specific heats, γ, f the ideal gas is: A) 7/5 B) 2/5 C) 3/5 D) 1/5 E) 9/5 Sec# The kinetic Thery f Gases - The Adiabatic Expansin f an Ideal Gas Grade# 45 Q15. The pressure f a mnatmic ideal gas is dubled, while its vlume is reduced by a factr f fur. What is the rati f the new rms speed f the atms t the initial rms speed? A) 0.71 B) 1.0 C) 0.47 D) 0.28 E) 0.87 Sec# The kinetic Thery f Gases - Pressure, Temperature and RMS Speed Grade# 58 Q16. Three mles f an ideal diatmic gas are taken thrugh the cycle acba as shwn in Figure 4, where cb is an adiabatic prcess. The temperature f the gas in states a, c, and b are T a 300 K, T c 492 K, and T b 600 K respectively. Calculate the net wrk fr the cycle. Fig# A) 1.95 kj B) +1.95 kj C) +3.84 kj D) 3.84 kj E) 0
Crdinatr: Sunaidi Wednesday, March 06, 2013 Page: 7 Sec# The kinetic Thery f Gases - The Mlar Specific Heats f an Ideal Gas Grade# 46 Q17. An ideal refrigeratr has a cefficient f perfrmance f 5.0. If the temperature in the rm is 31 C, what is the temperature inside the refrigeratr? A) 20 C B) 5.0 C C) 10 C D) 30 C E) Zer Sec# Entrpy and the Secnd Law f Thermdynamics - Entrpy in the Real Wrld: Refrigeratrs Grade# 61 Q18. Cnsider an ideal engine that perates between tw reservirs at 300 K and 600 K and absrbs 1.44 10 6 J per cycle. What is the pwer utput f this engine if it cmpletes 10 cycles per minute? A) 120 kw B) 100 kw C) 350 kw D) 440 kw E) 500 kw Sec# Entrpy and the Secnd Law f Thermdynamics - Entrpy in the Real Wrld: Engines Grade# 47 Q19. An ideal mnatmic gas f vlume f 6.00 L, riginally at 127 C and a pressure f 3.00 atm underges an isthermal expansin t 4 times the riginal vlume. What is the change in entrpy f the gas fr this prcess? A) 6.3 J/K B) 5.0 J/K C) 3.4 J/K D) 4.0 J/K E) 7.1 J/K Sec# Entrpy and the Secnd Law f Thermdynamics - Change in Entrpy Grade# 57
Crdinatr: Sunaidi Wednesday, March 06, 2013 Page: 8 Q20. A piece f irn f mass 2.00 kg at a temperature f 880 K is thrwn int a large lake whse temperature is 280 K. Assume the lake is s large that its temperature change can be ignred. If the change in entrpy f the irn-lake system is 898 J/K, calculate the specific heat f irn. A) 450 J/kg K B) 350 J/kg K C) 230 J/kg K D) 190 J/kg K E) 580 J/kg K Sec# Entrpy and the Secnd Law f Thermdynamics - The Secnd Law f Thermdynamics Grade# 47 Test Expected Average 51
v v B ρ y τ µ y m sin(kx ωt) 1 2 2 P avg y m v 2 µω S S cs( kx ωt) m P Pm sin(kx ωt) Pm ρvωs m I ½ ρ (ωs m ) 2 v I β 10lg I P s I 2 4πr v ± v D f f v vs y 2 y m cs(φ/2) sin(kx ωt + φ/2) y 2 ym sinkx csωt nv f n, n 1,2,3,... 2L nv f n, n 1,3,5... 4L ΔL αlδt V βv T PV nrt NkT λ ΔL φ 2π ΔL mλ m 0,1,2,. 1 ΔL m + λ, m 0,1,2,. 2 γ PV cnstant γ 1 TV cnstant 9 T T + 32, T c T 273 F C 5 Q ml Q mc T Q n C V T Q n CP T Q W ΔE int ΔE int nc VΔT C p - C v R W PdV W nrt ln(v f /V i ) P cnd mv 2 2 v rms Q t ( 3/2)kT 3RT M W Q H Q L W Q ε 1- Q Q H ka(t L H H L T QL K W Q L T L, QH T dq S H T Cnstants: 1 Liter 10-3 m 3 1 atm 1.01 x 10 5 2 N/m R 8.31 J/ml K N A 6.02 x 10 23 mlecules/mle -23 k 1.38 x 10 J/K I 10-12 W/m 2 Fr water: c 4190 J/kg.K L F 333 kj/k LV 2256 kj/k C )