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5. Two successive notes yielded by a closed organ pipe have frequencies of 150 and 250 vibrations per second: what other notes can be yielded by the pipe? What is, roughly, the length of the pipe?
6. Explain the function of the sounding board in stringed instruments. Why does the quality of tone given by the instrument depend on the construction of the sounding board?
7. How do you account for the power of a telescope to detect stars too faint to be seen by the naked eye?
8. How are we enabled to judge of the distance of objects and of the relief of solid bodies? Describe the stereoscope.
9. Why is it possible to obtain colour mixtures by rapidly rotating a parti-coloured disc?
Mention any other illustrations of the same principle.
10. What do you know of the relative speeds of propagation of (a) sounds of different pitches, (b) light of different colours?
1. Distinguish between the real and apparent expansion of a liquid, and describe any method of finding the real expansion of mercury.
2. How would you determine the density of aqueous vapour in the air?
3. Explain how to measure temperature by means of a constant volume air-thermometer. What are its advantages or disadvantages as compared with a mercury in glass instrument?
4. Describe Bunsen's ice calorimeter.
5. Describe any method of measuring the mechanical equivalent of heat. Point out the probable sources of error in the method, and explain how to make corrections for them.
6 Explain the action of any form of electrical induction machine.
7. What evidence is there to show that magnetism is a property of the molecules of a body?
8. Describe any method of comparing the electromotive forces of cells.
9. The plates of a cell, having an E.M.F. of 1.4 volts, are joined by two wires in parallel, of 4 and 3 ohms resistance respectively determine the currents that flow through the wires and the difference of potential of the extremities, the internal resistance of the cell being 25 ohms.
10. A current of 3 ampères flows round a circular conductor of 10 cm. radius: what is the magnitude and direction of the magnetic force at the centre ?
SECOND UNIVERSITY EXAMINATION IN ARTS.
1. Translate with explanatory notes, where necessary :-
Misit utrique rudes, et palmas Caesar utrique,
(b) Capena grandi porta qua pluit gutta
Phrygiumque Matris Almo qua lavat ferrum,
Et qua pusilli fervet Herculis fanum,
(a) Sed tibi non multum est, unum si praesto togatum. (b) Gloria Romanae, Quintiliane, togae.
(c) Sportula nulla datur; gratis conviva recumbis. (d) Annae pomiferum nemus Perennae.
(e) Non nautas puto vos sed Argonautas.
3. Scan the following, naming the metre:(a) Non debet domini perire munus.
(b) Vis scire quid agat Canius tuus? Ridet. (c) Versiculos recites ut, Ligurine, tuos.
Praeterea quaecunque vetustate amovet aetas,
5. Annotate :
(a) Insula quem triquetris terrarum gessit in oris. (b) Aulide quo pacto Triviai virginis aram Iphianassai turparunt sanguine foede
Ductores Danaum delecti, prima virorum.
(c) In medium summae quod dicunt omnia niti. 6. Translate and explain clearly:
(a) Utque lacus suberant ubi quamquam diruta servat Ignem Troianum et Vestam colit Alba minorem, Obstitit intranti miratrix turba parumper;
Ut cessit, facili patuerunt cardine valvae,
(b) Etruscum puero si contigit aurum
Vel nodus tantum et signum de paupere loro. (c) Rex Pylius, magno si quidquam credis Homero, Exemplum vitae fuit a cornice secundae.
ANTIQUITIES AND LITERATURE.
7. (a) What is meant by-tributum, magister societatis, publicum quadragesimae ?
(b) What was the ordinary form adopted in making a Roman will, and what conditions were required to render it valid?
(c) Write a note on the Salii and Luperci.
8. (a) Give a short account of Lucilius and his writings. What subsequent author did he influence, and to what extent ?
(b) What is known of Cicero's poetical productions? (c) Discuss Niebuhr's theory as to the existence of an early ballad poetry in Rome.
1. Translate into English :
Unctis falciferi senis diebus,
Misce dimidios, puer, trientes,
2. Translate into Latin :
There were other and worse forms of lawlessness, which the plague introduced at Athens. Men, who had hitherto concealed what they took pleasure in, now grew bolder. For, seeing the sudden change,-how the rich died in a moment, and those who had nothing immediately inherited their property, they reflected that life and riches were alike transitory, and they resolved to enjoy themselves while they could, and to think only of pleasure. Who would be willing to sacrifice himself to the law of honour when he knew not whether he would ever live to be held