7. Can the duty of Justice be deduced from the Greatest Happiness principle? Give your reasons, referring in your answer to the positions of Mill and Spencer on this subject. 8. Consider the influence assigned by Spencer, in his account of the genesis of the moral consciousness, to "the control of some feeling or feelings by some other feeling or feelings." 9. To what extent does the difficulty of the hedonistic calculus affect hedonistic theories of morality? What means of diminishing this difficulty are indicated by Spencer? NATURAL PHILOSOPHY.-PART I. The Board of Examiners. PASS AND FIRST HONOURS PAPER. TEN questions only to be attempted. 1. Define acceleration. Specify completely the acceleration in the two cases (a) of a body projected at an angle to the horizontal, (b) of a body moving with uniform speed round a circle of radius r. 2. What is required for a complete specification of an impulse? State the Second Law of Motion in terms of impulse. Prove that the work done by an impulse is equal to the impulse multiplied by half the sum of the initial and final velocities. 3. A rider on a bicycle can, without doing work, travel at a constant rate of 10 miles an hour down an incline of 1 in 20. Find the resistance, the weight of rider and bicycle together being 160 lbs. 4. State fully Archimedes' principle. If the water-line area of a ship be 15,000 square feet, calculate the extra load required to make it draw 1 foot more water (a) in fresh water, (b) in sea-water; the specific gravity of sea-water being 1·025. 5. What is meant by the surface tension of a liquid? Describe how to measure the surface tension of water. 6. Describe some good method of determining the density of a gas at standard pressure and temperature. 7. Describe the mode of conducting experiments to investigate the effect of variation of pressure on the boiling point of water. In what way is the knowledge so derived made use of in surveying? 8. A copper sphere whose temperature is 32° above that of its surroundings loses heat at the rate of 01 calorics per square cm. per sec.; the radius of the sphere being 5 cm., the specific heat of copper 0.09, and its density 9, find the fall in temperature in 10 seconds. (Area of surface of sphere = 4πr2; volume of sphere = 3.) 9. Describe fully the construction (and give the reasons for such construction) of a modern astronomical telescope. 10. A dip needle has its centre of gravity a short distance from the axis of suspension in the line joining its ends. How does this affect the accuracy of (a) the meridian, (b) the dip, determined by its means? How can any such inaccuracy be eliminated? 11. State Ohm's Law for any portion of a circuit, and describe how to prove it. 12. Deduce from Ohm's Law the theorem that the conductivity of a number of conductors in multiple arc is equal to the sum of their separate conductivities. Describe how to arrange a shunt to a galvanometer so that only of the current in the main circuit shall pass through the galvanometer. NATURAL PHILOSOPHY.-PART II. The Board of Examiners. FOR PASS AND HONOUR CANDIDATES. TEN questions only to be attempted. 1. Describe some good method of determining Young's modulus for a wire, pointing out the sources of error incidental to it, and showing how they may be eliminated. 2. Describe and give the theory of the weightthermometer method of determining the expansion of a liquid. 3. How may Bunsen's ice calorimeter be employed for determining the Latent Heat of fusion of ice? 4. State Stefan's Law of Cooling, and summarize the evidence in its favour. 5. Describe experiments in sound, light, and electricity that will illustrate sympathetic resonance 6. Describe how to determine by an acoustic method the ratio of the two specific heats of a gas. 7. A small transparent sphere is used as a magnifying glass. Determine its magnifying power if its diameter is 1 cm. and the refractive index of its material 1.6. 8. An insulated sphere of radius R is charged with Qunits of electricity. Another sphere of radius r at some distance is then joined to the first by a wire of no sensible capacity, which is afterwards removed. Find the resulting surface densities of the spheres. 9. Show that the potential at any point due to a short magnet is M cos 0 Hence or otherwise determine the magnetic intensity at any point in the prolongation of its axis. 10. Discuss the elementary theory of Wheatstone's Bridge, and show that its accuracy is independent of any E.M.F.'s in the bridge arms. At what part of the bridge should the galvanometer be placed? 11. Describe fully the mode of construction of a standard ohm coil, giving reasons for each step of the process of manufacture. 12. Explain why a forward lead must be given to the brushes of a continuous current dynamo, and a backward lead to those of a motor. NATURAL PHILOSOPHY.-PART II. PRACTICAL EXAMINATION. The Board of Examiners. THREE experiments only to be attempted. 1. Determine the density of common salt. 2. Find Young's modulus for brass. 3. Measure the curvature of the given surface by Foucault's method. 4. Find g by the simple pendulum. 5. Determine the chromatic aberration of a lens. 6. Find the refractive index of kerosene. |