NATURAL PHILOSOPHY.-PART I. Professor Andrew. Candidates must not answer each of two alternative questions. Candidates must shew some knowledge in each division of the paper and a satisfactory knowledge in two divisions. DYNAMICS. 1. What is Motion? Quantity of Motion? Force ? Measure of Force? or 1. Describe an experiment illustrating the parallelogram of forces. 2. How does a spring-balance illustrate Hooke's Law? A mass of one gramme is placed in each of the pans of a common balance and in the pan of a very sensitive spring-balance, and the instruments are carried from the base to the summit of a lofty mountain. Contrast and explain their indications. or 2. Define the centre of mass of a body and shew that it does not necessarily coincide with a particle of the body. Shew how its position may, in certain cases, be approximately determined experimentally. 3. Define Work, Energy. State the principle of the Conservation of Energy, and apply it to find the relations between the "power" and the "weight" in the smooth inclined plane when the direction of the "power" is parallel to the plane. What precautions must be taken in experimental verification of the ratio ? or 3. Explain the phrase "Centrifugal Force.” Write down an expression for it in the case of a body of mass m moving with uniform velocity v in a circle of radius r, and define the unit in terms of which the force is expressed. A cylindrical can containing water is suspended by a string which coincides with its axis. The can is whirled round in a vertical circle, but the water is not spilled. Explain this. 4. State Boyle's Law, and explain the process of "suction." or 4. Describe any form of Hydrometer of constant immersion, and explain its uses and principle. 5. Define absolute Specific Gravity. Give the details of the process for determining it in the case of a piece of light varnished wood, constructing an example with general numbers. or 5. Describe the construction and method of using the Sprengle Pump, and explain the principle of its action. If the pressure height of the residual air be 00063 inch of mercury, what is its pressure intensity in grains weight per square inch? Specific gravity of mercury is 13.6. HEAT AND Light. 6. Describe a method of comparing the thermal conductivities of two metals, e.g., Iron and Bismuth. What precautions must be taken to ensure a correct inference from the observations? or 6. Describe a method of comparing the radiating powers of different surfaces, and state the general conclusions with regard to texture and colour of surface. 7. State the law of reflexion of light, and describe an experiment which shews that the same law holds for heat. or 7. Define Radiant Energy, and describe an experiment for producing the solar spectrum and the methods of determining the distribution of light, heat, and actinic energy in it. 8. Describe the method of mixtures for determining the specific heat of a body. Find that of Mercury from the following observations. Mass of mercury 1,000 grs., temp. 100° C. Mass of water in calorimeter 2,100 grs., temp. 11.1° C. Water equivalent of calorimeter 89 grs. Temperature of mixture 12.3° C. or 8. Describe a method of determining the Latent Heat of Vaporization of water, and illustrate your answer by the following observations. One pound of steam at a temp. of 100° C. passed through and was condensed by 10 lbs. of water at a temp. of 15° C., and the temp. of the mixture was 716 C. 9. Enumerate Watt's improvements in the Chasewater engine, and describe in detail any one of them. or 9. Describe the construction and action of Giffard's injector, and explain its principle and the apparent anomaly involved in its action. E MAGNETISM AND ELECTRICITY. 10. Define the phrases Magnetic Declination and Isogonic Lines. Why should the declination be frequently determined during a long voyage in an iron steamship? How is it done? or 10. Describe the construction and mode of using the Magnetometer for continuous automatic registration of changes in the horizontal component of the earth's field intensity at any place. 11. Explain the action of the Electrophorus, and state the source of the energy which appears as electrical separation. or 11. Describe a method of shewing the electrification of brass by contact with fur and of proving that it is negative. 12. Describe Faraday's "Ice-pail" experiment, and state fully all the conclusions to be derived from it. or 12. Give the construction and mode of using Thomson's water dropping collector, and explain its use in testing the electrical state of the atmosphere at any point. 13. Contrast the effects of the electric discharge between the accumulators of a powerful inductionconvection machine and between the poles of a voltaic battery. Illustrate your answer by analogy. or 13. State Volta's contact laws, and arrange in the order of his contact series the elements O, Fe, Pb, Zn, H, Pt, C, Cu. NATURAL PHILOSOPHY.-PART II. Professor Andrew. Candidates must not answer each of two alternative questions. Candidates must shew some knowledge in each division of the paper and a satisfactory knowledge in two divisions. DYNAMICS. 1. Define couple; arm, moment and axis of couple; and shew that two couples are equivalent if their axes are parallel, equal, and have the same sense. Describe an experimental verification of the proposition. or 1. State and prove Pappus' property of the centre of mass of a plane area revolving about an axis in its plane which does not cut its periphery. Hence find the position of the centre of mass of a semicircular lamina. 2. Define work. Find the number of foot-pounds of work done in building a circular brick tank, a brick-and-a-half thick, inner radius 3 ft., height 10 ft. A brick is 9 inches long, 4 wide, and 3 deep. A cubic foot of brickwork weighs 1 cwt. or 2. Describe the construction, use, and practical mode of using the conical pendulum. Find the cosine of the inclination of the suspending cord to the vertical for a given value of 7, the length of the cord, and of w, the angular velocity of the bob. Hence determine the superelevation of the |