第三張二
日六初月四年虎戊磨頭
WAH KIU YAT PO
學中會年青ㄗ
慶校年十五福
送學生游敍 餐盤彭督號 「天:≤革沿校及史今年書 芝
港大入學試
昨續考物理
分高級、普遍及低級程度
蜜校
【特訊】香港大踏入學民昨關考試之第六天,高藝程度上午九時物理《赞 《】,下午二時藝理(圈)。普通及低秘密庭;上午休息,下午二物理。
荔搖綠全部制留下:
UNIVERSITY OF HONG KONG
MATRICULATION EXAMINATION 1953'
ADVANCED LEVEL
TIME ALLOVED; 8 HOURS.
PHYSICS
PAPER 1.
MATHEMATICAL TABLES WILL BE SUPPLIED,
ANSWER THREE QUESTIONS. FROM SECTION A AND THREE
QUESTION FROM SECTION B
Emlékszalsaçëmat footfasc2
·SECTION A
CCL STATE ARCHIMEDES' PRINCIPLE AND DESCRIBE BRIEFLY,
HOW IT MAY BE VERIFIED.
A MAN WHOSE WEIGHT IS 100 KG. AND WHOSE AVERAGE SPECIFIC GRAVITY IS 0.95 SITS IN A SMALL BOAT ON A SWIMMING POOL. HE HAS IN THE BOAT A BAG OF STONES OF WEIGHT 200 KG. AND AVERAGE SPECIFIC GRAVITY 4. IF HE THROWS ALL THE STONES OVERBOARD INTO THE WATER, CALCULATE THE APPROXIMATE CHANGE IN LEVEL, ASSUMING THE POOL TO HAVE AN AREA OF 50 SQUARE METRES, AND TO HAVE VERTICAL SIDES. WHAT FURTHER CHANGE IN THE LEVEL OF THE POOL WILL OCCUR IF THE MAN HIMSELF JUMPS OVER- BOARD AND FLOATS
A TRAIN OF MASS 200 TONS IS TRAVELLING ALONG A LEVEL TRACK. IF THE RESISTANCE TO ITS MOTION IS 132.5 16. WEIGHT PER TON, FIND THE HORSE POWER OF FAN ENGINE WHICH CAN JUST KEEP IT TRAVELLING AT '80 M.P,H...
#F, ON REACHING THE BEGINNING OF AN INCLINE OF TIN 150, STEAM IS SHUT OFF, AND IF THE RESISTANCE TO MOTION IS INDEPENDENT OF THE SPEED, FIND HOW FAR THE TRAIN WILL TRAVEL ON THE INCLINE BEFORE COMING TO 'REST,
8. EXPLAIN WHAT IS MEANT BY THE CAPACITY OF A CONDENSER, AND DESCRIBE AN EXPERIMENT WHICH SHOWS THAT THE CAPACITY DEPENDS ON THE NATURE OF THE MEDIUM BETWEN THE PLATES, WHEN TWO CONDENSERS ARE CONNECTED IN PARALLEL AND CHARGED TO 200 VOLTS, THE TOTAL ENERGY STORED IN THEM IS 0.24 JOULES; WHEN THEY ARE CONNECTEDIN SERIES AND THE COMBINATION IS CHARGED TO 203 VOLTS, THE TOTAL ENERGY STORED IS 18/800 JOULE. FIND THE CAPACITY OF EACH CONDENSER.
4. STATE OHM'S LAW.
WHAT HAPPENS TO THE RESISTANCE OF
(A) A CARBON FILAMENT LAMP WHEN ITS TEMPERATURE
RISES
(B) A TUBE OF DILUTE SILVER NITRATE SOLUTION (WITH SILVER ELECTRODES) WHEN THE TEMPERATURE:
RISES
(C) A MERCURY THREAD WHEN THE TEMPERATURE IS
LOWERED TOWARDS ABSOLUTE ZERO
A SKELETON CUBE IS MADE OF WIRES WHOSE RESIS- TANCE IS AS SHOWN IN THE DIAGRAM. A POTENTIAL DIFFERENCE OF » VOLES IS MAINTAINED BETWEEN A AND G. FIND THE TOTAL CURRENT DRAWN FROM THE SOURCE OF EM. F.
RESISTANCES
ABADAE-1-
GHmGCGFetup
ALL REMAINING WIRES ARE OF RESISTANCE 2 EACH
SECTION D
O STATE BOYLE'S LAW AND CHARLES' LAW-
A MECHANICAL VACUUM PUMP HAS. A CHAMBER OF CAPACITY 10 C.C. THIS IS PUT IN COMMUNICATION WITH THE VESSEL TO BE EXHAUSTED VIA A VALVE, THE VAL VE THEN CLOSES AND THE PUMP CHAMBER IS COMPLET LY EVACUATED. THE VALVE THEN OPENS AND THE PRO CESS 15 REPEATED THREE TIMES PER SECOND. IF THE VESSEL TO BE EXHAUSTED NAS A CAPACITY OF 500 C.C. AND IF THE TEMPERATURE OF THE AIR REMAINS CONS TANT, FIND THE TIME REQUIRED FOR THE PRESSURE TO BE REDUCED FROM 1 TO 0.01 ATMOSPHERE.
4. STATE NEWTON' LAW OF COOLING AND DESCRIBE HOW
IT MAY BEVERIFIED EXPERIMENTALLY,
A CALORIMETER OF CAPACITY 20 C. C. IS FILLED WITH HOT WATER, COVERED WITH A LID, AND PLACED INSIDE A CONSTANT TEMPERATURE ENCLOSURE. ITS TEMPERA. TURE FALLS FROM 10 TO 90°C IN 20 MINUTES, WATER IS REPLACED BY AN EQUAL VOLUME OF HOT OIL IF THE OF SPECIFIC GRAVITY 0.9 AND SPECIFIC HEAT (1.5 AND IF THE CALORIMETER IS AGAIN PLACED IN THE SAME CONSTANT TEMPERATURE ENCLOSURE, ITS TEMPERATURE FALLS FROM 1 TO 30°C IN 10 MINUTES, FIND THE WATER EQUIVALENT OF THE CALORIMETER.
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5. DEDUCE
FIRST PRINCIPLES THE RELATION BETWEEN THE OBJECT DISTANCE, THE IMAGE DISTANCE AND THE FOCAL LENGTH OF A THIN LENS. AN ILLUMIN- ATED OBJECT AND A SCREEN ARE L METRE APART. A CONVERGING LENS PLACED BETWEEN THEM IN EITHER OF TWO POSITIONS PRODUCES A SHARP IMAGE OF THE DBJECT ON THE SCREEN, THE IMAGE FORMED IN ONE CASE IS FOUR TIMES AS LONG AS IN THE OTHER. FIND THE FOCAL LENGTH IN THE LENS.
8. (A) EXPLAIN THE PRINCIPLE OF OPERATION OF (1) A
NICOL PRISM AND (2) A SHEET OF POLAROID. (B) DESCRIBE HOW YOU WOULD COMPARE THE STRENG. THS OF TWO GLUCOSE SOLUTIONS USING AN OPTICAL METHOD.
(C) THE POLARIZING ANGLE OF A PIECE OF GLASS FOR GREEN LIGHT IS @ FIND THE ANGLE OF MINIMUM - DEVIATION FOR GREEN LIGHT INCIDENT ON À 800
PRISM MADE OF THE SAME GLASS,
TIME ALLOWED + 3 HOURS.
PAPER 11.
MATHEMATICAL TABLES WILL BE SUPPLIED.
- ANSWER THREE QUESTIONS FROM SECTION A AND THREE
QUESTIONS FROM SECTION B.
g 980 em sec2 92:2 feet seb-2.
ELECTRONIC CHARGE 4.8 X 10-10 5.S.U.
1 E.S.U. OF, POTENTIAL DIFFERENCE 300 VOLTS. T AU-10 3 CM,
-39 1.6 X-10 COULOMB
ELECTRONIC MASS=9 X10 -23
GM.
́1 VEBER METRE
DENSITY OF MERCURY=13.6 gm/c.e. PLANCK'S CONSTANT, heng.6 X 10-27 and sec.
VELOCITY OF LIGHT IN VACUO=3 X 10 10
.2 ¥ 102 GAUSS.
-1
Bec
SECTION A
1. DEFINE THE TERM "SURFACE TENSION" AND DESCRIBE KÓW THẾ SURFACE TENSION OF WATER MAY BE MEASURED,
A SPHERICAL SOAP BUBBLE OF RADIUS L5 cw, IS FOR MED INSIDE A LARGER SOAP BUBBLE OF RADIUS 2.0 cm. WHAT WILL BE THE RADIUS OF THE SHALLER, BUBBLE: IF IT REMAINS INTACT AFTER THE OUTER BUBBLE HAS BEEN PUNCTURED? ASSUME THAT THETEMPERATURE OF THE INNER BUBBLE REMAINS CONSTANT (IF NECE. SSARY, YOU MAY ASSUME THAT THE CHANGE OF RADI US IS SMALL AND USE THE APPROXIMATE FORMULA,
n-1
((at)ma tun X FX IS SMALL COMPARE
WITH n).'
SURFACE TENSION OF SOAP SOLUTION 90 DYNES/cm,, -ATMOSPHERIC PRESSURE 760 mm MERCURY.
2 GIVE A BRIEF ACCOUNT OF THE VARIATION OF THE GRAVITATIONAL ACCELERATION & WITH POSITION ON THE EARTH'S SURFACE.
3.
5.
A SATELLITÉ DESRIBES A CIRCULAR ORBIT AROUND THE EARTH. PASSING OVER THE POLES AT INTERVALS OF 1 HOUR 38 MINUTES. ASSUMING THE EARTH TO BE A SPHERE OF RADIUS 6.4 X 103 Km., CALCULATE THE RADIUS OF THE ORBIT OF THE SATELLITE. THE VALUE OF AT THE EQUATR IS 978 CM SEC 3
DESCRIBE THE CONSTRUCTION OF A MOVING COIL GALVANOMETER AND DISCUSS THE FACTORS WHICH DETERMINE ITS SENSITIVITY.
THE COIL OF A REFLECTING GALVANOMETER HAS 100 TURNS WOUND ON A RECTANGULAR FRAME 2 CM. WIDE X 9 CM, LONG IT IS SUSPENDED IN A UNIFORM MAG- NETIC FIELD OF FLUX DENSITY 600, GAUSS. BY A WIRE WHICH REQUIRES A TORQUE OF 1 DYNE.CM, WIDE X 3 CAL LONG. IT 15 SUSPENDED IN A UNIFORM MAGNETIC FIELD OF FLUX DENSITY 600 GAUSS BY A WIRE WHICH REQUIRES A TORQUE OF.1 DYNE-CM TO TWIST IT THROUGH ONE RADIÁN, THE COIL CARRIES A MIRROR AND IS USED IN CONJUNCTION WITH A LAMP AND SCA- LE, THE MIRROR BEING 1 METRE FROM THE 'SCALE. FIND THE CURRENT REQUIRED TO DEFLECT THE SPOT OF LIGHT BY 3 CM.
4. USING THE DATE SUPPLIED ABOVE, CALCULATE 1
(A) THE DIAMETER OF A WATER FROP WHICH HAS FIVE EXCESS ELECTRONS AND WHICH IS AT REST IN A VERTICAL ELECTRIC FIELD OF INTENSITY 2700 VOLTS JCM.
(3) THE RADIUS OF THE PATH OF AN ELECTRON WHICH
IS,MOVING WITH A SPEED OF 5 X 160
.1 CM SEC IN A MAGNETIC FIELD OF FLUX DENSITY 1000 GAUSS, THE MAGNETIC FIELD BEING NORMAL TO THE PLANE OF MOTION.
(C) THE MINIMUM VOLTAGE WHICH MUST BE APPLIED TO AN X-RAY TUBE TO GIVE RADIATION OF WAVELENGTH | AU,
SECTION B
WHAT ARE SATURATED AND UNSATURATED VAPOURE? HOW ARE (A) PRESSURE AND TEMPERATURE (B) PAES- SURE AND VOLUME, RELATED IN EACH CASE? THE AIR USED IN AN EXPERIMENT TO VERIFY BOYLE'S LAW IS MIXED WITH UNSATURATED WATER VAPOUR AND ITS PRESSURE IS 58.8 er OF MERCURY Y WHAN THE VOL. LUME IS HALVED THE PRESSURE VECOMES 1050m AND WHEN THE VOLUME IS REDUCED TO ONE THIRD THE PRESSURE IS 175.1 cm.
DETERMINE (A) WHETHER THE WATER VAPOUR BECOMES SATURATED WHEN THE VOLUME IS REDUCED, (B) THE INITIAL PRESSURE OF THE WATER VAPOUR.
0, DEFING "YOUNG'S MODULUS" AND "COEFFICIENT OF LINEAR EXPANSION", AND DESCRIBE HOW ONE OF THESE QUANTITIES MAY BE MEASURED FOR COPPER. A TAUT COPPER WIRE OF DIAMETER 1. IS TIED TO TWO FIXED SUPPORTS. FIND THECHANGE OF TENSION IN THE WIRE IF IT IS COOLED THROUGH 20 DEGREES CENTIGRADE.
COEFFICIENT OF LINEAR EXPANSION OF COPPER 1.7x10 DEGREES CENTIGRADE MINUS ONE YOUNG S MODULUS FOR COPPER 1.2 × 10
12
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日四廿月五年八五九一尝公军七十四周民要中
停居生學英留
【幕開式正底月
灣之敦倫落座 厦大港香名命 英到初宜廉為甚費收道水 利權置安先優獲可者國
多甚具傢及項款廈該助捐士人港香
7. (A) DEFINE THE TERM "DISPERSIVE POWER”.
(B) EXPLAIN, WITH THE AID OF. DIAGRAMS, THE PRINCIPLES OF (3) AN ACHROMATIC PRISM AND (11) A DIRECT VISION SPECTROSCOPE、
(C) PROVE THAT FOR NEARLY NORMAL INCIDENCE ON A THIN PRISM OF SMALL ANGLE A, THE DEVIATION OF A RAY OF LIGHT IS APPROXIMATELY (HOYA WHERE UUS THE REFRACTIVE INDEX.
(D) IF THE REFRACTIVE INDEX OF THE GLASS OF A 10° PRISM 1G 1.532 FOR BLUE AND 1.514. FOR RED LIGHT, FIND THE ANGULAR DESPERSION PRODUCED .BY THE PRISM FOR LIGHT INCIDENT NEARLY
NORMALLY ON ONE FACE.
8. DEFINE AMPLITUDE, FREQUENCY & WAVELENGTH AS
APPLIED TO SOUND WAVES IN AIR.
DESCRIBE TWO METHODS OF MEASURING THE FREQUEN. CT OF A TUNING FORK WHICH DO NOT REQUIRE A KNOWLEDGE OF THE VELOCITY, OF SOUND IN AIR,
(普通程度)
TIME ALLOWED & HOURS. ASK
ANSWER TWO QUESTIONS FROM EACH SECTION. MATHEMATICAL TABLES WILL BE SUPPLIED,
2
8-980 cm/sec 33 leatfset
2
SECTION A
1. EXPLAIN HOW YOU WOULD MEASURE THE COEFFICIENT .OF FRICTION BETWEEN A BLOCK OF WOOD AND THE
SURFACE OF A TABLE A
A BODY OF MASS ? LB, RESTS ON A SMOOTH HORIZON. TAL TABLE AT A DISTANCE OF 4 FT. FROM THE EDGE OF THE TABLE. A STRING FROM THE BODY, PASSES OVER. A FRICTIONLESS PULLY FASTENED ON THE FUGE "OF THE TABLE AND A LOAD OF 4 L8. HANGS FROM THE FREE END OF THE STRING, IF THE SYSTEM STARTS FROM. X REST, WHAT IS THE TIME TAKEN FOR THE BODY TO REACH THE EDGE OF THE TABLE?
2. STATE ARCHIMEDES PRINCIPLE AND GIVE EITHER A
THEORETICAL OR EXPERIMENTAL PROOF OF #.
·A LUMP OF PARAFFIN WAX OF MASS 250 GMA. IS WEIGH- TED BY MEANS OF PIECES OF, METAL OF SPECIFIC GRA- VITY 3.5 UNTIL IT JUST SINKS IN WATER. THE WEIGHT . OF THE METAL IS FOUND TO BE 31.5 GM. CALCULATE
THE SPECIFIC GRAYITY OF THE WAX.
3. (A) DEFINE THE SIDERÉAL DAY AND EXPLAIN, HOW IT
DIFFERS FROM THE SOLAR DAY.
(0) DO YOU BELIEVE THAT THE TSUNMOVES AROUND
THE EARTH OR VICE VERSAI
GIVE REASONS FOR YOUR ANSWER,
(C) FIND THE FORCE OF ATTRACTION. BETWEEN THE
EARTH AND SUN.
RADIUS OF THE EARTH
MASS OF THE SUN
3.38 x 108CM
2.0 x10 GM MEAN DISTANCE OF THE EARTH FROM THE SUN"
#15 x 10 * KM. .
SECTION-B
4. STATE NEWTON'S LAW OF COOLING, AND DESCRIBE
HOW YOU WOULD VERIFY IT EXPERIMENTALLY.
6.
A CALORIMETER CONTAINING FIRST (0 GM. AND THEN
放
100 GM. OF WATER IS HEATED AND ALLOWED TO COOL EMERI
袋
FROM 50 DEGREES CENTIGRADE, IF THE CALORIMETER LEN
IS SUSPENDED IN THE SAME CONSTANT, TEMPERATURE
ENCLOSURE ON EACH OCCASION AND THE TIMES OF COOLING ARE RESPECTIVELY 16 AND. 83 MINUTES, CALCULATE THE WATER EQUIVALENT
OF THEL
CALORIMETER, DESCRIBE AN EXPERIMENT FOR FINDING THE- REFRACTIVE INDEX OF A LIQUID BY MEASURING ITS. APPARENT DEPTH,
A JAR, 30 CM、TALL,CONTAINS WATER UP TO HALF ITS. HEIGHT AND THE REST IS FILLED WITH PARAFFIN. IF THE REFRACTIVE INDICES OF WATER AND PARAFFİN. ARE 1.35 AND 1.47 RESPECTIVELY, WHAT IS THE APPARENT DEPTH OF THE JAR WHEN VIEWED NORMALLY
D. THE PRONGS OF AN ELECTRICALLY MAINTAINED-TUNING,
FORK VIBRATE VERTICALLY, ONE END OF A HORIZONTAL STRING IS ATTACHED TO ONE PRONG AND THE STRING
· PASSES OVER A PULLEY NEAR THE OTHER END TO WHICH A WEIGHT IS ATTACHED. DESCRIBE (A) WHAT HAPPENS WHEN THE LENGTH OF THE STRING IS GRA. DUALLY ALTERED (B) HOW TO DETERMINE THE FRE... QUENCY OF THE TUNING FORK WITH SUCH AN
ARRANGEMENT,
SECTION C
7. DEFINE (A) MAGNETIC FIELD STRENGTH (B) NEUTRAL
POINT,
A BAR MAGNET IS PLACED IN THE MAGNETIC MERIDIAN WITH ITS SOUTH POLE POINTING NORTH. EXPLAIN. HOW YOU WOULD FIND THE POSITION OF THE NEUTRAL POINTS EXPERIMENTALLY, IF THE MAGNET IS 10 CM. LONG AND A WEUTRÁL
POINT IS LOCATED 14 GM. FROM THE SOUTH. POLE, WHAT IS THE MAGNETIC MOMENT OF THE MAGNET 7 ASSUME THE POLES OF THE MAGNET TO PE SITUATED, AT THE ENDS.
(THE EARTH'S HORIZONTAL FIELD=0.37 QENSTED,)
B. STATE THE LAW OF FORCE BETWEEN ELECTROSTATIC
CHARGES.
TWO EQUAL PITCH BALLS ARE SUSPENDED FROM THE SAME POINT BY TWO SILK THREADS EACH OF LENGTH 20 CM. WHEN EACH BALL IS GIVE A CHARGE OF 100 E.S. U., THEY COME TO REST WHEN THE TWO THREADS MAKE AN ANGLE OF 40 DEGREES WITH EACH OTHER. CALCU- LATE THE MASS OF THE PITCH BALLS IF THE MASS OF THE THREADS IS NEGLIGIBLE.
9. STATS THE LAWS OF ELECTROLYSIS,
TWO DANIEL CELLS OF E.M.F. 1.00 VOLT ARE CONNECTED IN PARALLEL ACROSS AN EXTERNAL RESISTANCE OF
20 OHMS. CALCULATE THE WEIGHT OF COPPER DEPOSITD IN EACH CELL IN ONE HOUR.
(INTERNAL RESISTANCE OF DANIEL CELLS,ES OHA ATOMIC WEIGHT OF COPPER=5): 6
ATOMIC WEIGHT OF HYDROGENŲ; ELECTROCHEMICAL-
EQUIVALENT OF HYDROGEN-21.04 X 105 GM, PER COULOMB VALENCY Z FOR COPPER.)
仁客絲試*卡专生必注意已之考武及出心电試地蝣班):
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式 時間
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得者名單之宣佈 當爲學
華僑教育
雨豪
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乐天明怡時間大
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高小會考昨結束
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