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LIGHT AND SOUND.
1. A convexo-concave lens is made of Canada balsam (refractive index = 1.549), and the radii of its surfaces are 5 in. and 10 in.; find its focal length.
2. Given the object speculum of a Gregorian telescope of 3 ft. focal length, and the eye-piece of 1 in. focal length; find the focal length of the secondary concave mirror that will render the telescope capable of magnifying distant objects 700 times.
3. Give Huyghens' construction to determine the direction of the two refracted rays in a crystal of Iceland spar.
4. Investigate a formula to determine the position of the bands produced by the diffraction of light passing the straight edge of a screen.
5. Explain the manner in which the wave-lengths corresponding to the fixed lines of the spectrum may be found, by means of the spectrum formed by diffraction.
6. Explain accurately the mechanical principles by which Young accounted for the existence of a bright and not a dark centre in the experiment of Newton's rings.
7. An organ pipe (A) gives a note corresponding to 32 vibrations per second, and a second pipe (B), when sounded with the first, makes 40 beats in 20 seconds; find the number of vibrations per second made by the pipe (B).
8. State the relative number of vibrations made in a given time by each note of a musical octave.
9. By what experiments is it shown that two lights may produce darkness; two sounds, silence; two heats, cold; and two motions, rest?
10. Find the focus of parallel rays passing through two spherical refracting surfaces; the incident rays being parallel to the line joining the centres.
1. Assuming, on the authority of Faraday, that liquid carbonic acid has, at 32°, the specific gravity of 0.83, and at 86° the specific gravity of 0.60, what must be its coefficient of expansion for 1° Fahr. ?
2. What is the unit of heat usually defined to be? what is its mechanical equivalent ? and how was this latter calculated by Mayor of Heilbronn ?
3. In a perfectly dry atmosphere what is the relation between the depression of temperature shown by a wet and dry thermometer, and the force of vapour of maximum density at the temperature exhibited by the former instrument ?
4. Five cubic inches of absolute alcohol, at the temperature of 40°, were mixed with two cubic inches of metallic filings at 80°, and the tempera ture of the mixture was found to be 41°.37. Assuming that all the heat lost by the metal was confined to the water, what must have been the specific heat of the former ?
N. B.—Specific gravity of alcohol = 0.794; specific heat of alcohol = 0.640.
5. Into 3 lbs. of water, at the temperature of 18°, 1.38 lbs. of granulated zinc, at 80°, were projected, as a consequence of which some of the water was congealed. How much of it underwent this change?
N. B.-Specific heat of zinc = 0.0955 ; caloric of liquidity of water 142°.65. 6. m lbs. of water at t, when added to m' lbs. of ice at t, give a liquid mixture whose temperature is 0. From these data, and the specific heat of ice, c, calculate the caloric of the liquidity of water.
7. The mean coefficients of the cubic expansion of mercury, and of the linear expansions of copper and platinum being
Between 32° and 212°. Between 32° and 572'. Mercury, 0.018018
0.018911 Copper, . 0.001719
0.001883 Platinum, 0.000884
0.000918 When the true temperature of a medium is 572°, what will it be if taken by an ordinary mercurial thermometer, and by thermometers of copper and platinum working by linear expansion !
8. Explain the experimental process, and the method of calculation employed by De la Roche and Berard in comparing the specific heats of air and water.
9. Bunsen has proposed and practised an indirect method for taking approximately the specific gravity of a gas when the volume of it is too small to admit of a resort to the ordinary process by weighing. What is the method in question, and the principle on which it rests ?
10. What are the laws connecting the latent and the sensible heats of aqueous vapour of maximum density at different temperatures-according to Southern, according to Watt, and according to Regnault?
History and English Literature.
1. Write a short account of the life and adventures of Egbert before his accession to the throne of Wessex.
2. According to Hallam, the history of the jurisdiction of the constable and marshal of England affords no bad illustration of the state in which our Constitution stood under the Plantagenets. Explain this assertion.
3. A remarkable precedent in the 9th of Henry IV. is perhaps the earliest authority for two important maxims of parliamentary law; what maxims ? Give some account of the contents of this important record. What inferences does Hallam deduce from it?
4. Relate the history of the invasion of England by James IV. of Scotland.
5. The most serious disagreement on record between the Crown and the Commons, from Henry IV. to Elizabeth, took place in 1566. Give an account of the proceedings on this occasion.
6. Write a sketch of the progress of Poor-law legislation under Elizabeth.
7. Give an account of the military operations in 1747 which led to the peace of Aix-la-Chapelle.
8. Relate, as fully as you can, the proceedings of the Convention of 1688.
9. Speaking of the great national delusion of the Popish plot, Hallam remarks that « there were circumstances, and some of them very singular in their nature, which explain and furnish an apology for the public error.” What were these ? 10. Write a short account of
The Commercial Crisis of 1797.
1. Which of the following modes of spelling do you adopt, and for what reasons ?
a. chrysolite, chrysolyte.
f. siren, syren. 2. Remark on some meanings which the following words formerly bore, but which are now obsolete :- Absolute, admire, enormous, muse (the verb), nephew, painful, town.
3. Trace the following words to their source in the Latin language:Agree, degree, damsel, espouse, limner, portrait, purlieu, suit.
4. Give a general view of English Literature from the death of Elizabeth to the Restoration.
5. Give as full an account as you can of the “Tale of a Tub,” the “ Battle of the Books,” and the “Drapier's Letters.”
6. Write a short biography of Pope. Give an account of his personal relations with his eminent contemporaries.
7. Characterize the genius of Burns. Mention some of the pieces which best exemplify his poetic gifts.
8. Write notes on the following extracts :
“At half mankind when generous Manly raves. b. “Or turns young Ammon loose to scourge mankind.”
“Gold, imp'd by thee, can compass hardest things.” d. “The Silvans groan—no matter—for the fleet.”
" What made ...
A perjur'd prince a leaden saint revere,
A godless regent tremble at a star?”
“ Conscious they act a true Paliadian part.” 9. Who was the “Chloe” of Pope? What description has he given of the same person elsewhere?
10. Write short accounts of Blunt, Borgia, the Man of Ross, Villiers, Wharton, Wilmot. 11. Explain the allusions in the following passages :
“ That small infantry warr'd on by cranes.” b. " A leper once he lost, and gain'd a king.”
“And Lichas from the top of Eta threw
Into the Euboic sea.” d.
“O’er hill or moory dale Pursues the Arimaspian."
“Betwixt the justling rocks.” f. “ The dreaded name of Demogorgon.” g.
“Where Abassin kings their issue guard." h. “Or where Alcinous reign’d.” i. “Where we possess the quarters of the north.”
Translate the following passages into English :-
Ending, αφ' ής τα κεδνα βλαστάνει βουλεύματα.
Theb. 572-; 90.
2. Beginning, τίπτε μοι τόδ' εμπέδως, κ. τ.λ.
Ending, ουδ' έπόντισε σκάφος.
3. Beginning, και προστρόπαιος εστίας μολών πάλιν, κ. τ.λ. Ending, τραφέντα δ' αύθις η δίκη κατήγαγεν.
Ag. 1565- 1585.
4. Beginning, τοιγάρ κακώς δράσαντες ουκ ελάσσονα, κ. τ.λ. Ending, ληξαι θεοβλαβούνθ' υπερκόμπω θράσει.
1. Explain the following:
τριτόσπονδος αιών, άπτερος φάτις, νικά δ' ο πρώτος και τελευταίος δραμών, πιθανός άγαν ο θηλυς όρος επινέμεται, πάραυτα, άκασκαλος, κάρβανος, εκμαρτυρείν, θεμερώπις, πρoυσελούμενον, αίσυροι, ιοτατι αρμοϊ.
. 2. What peculiar use have the aorist öveoa and its compounds in the tragedians ? What tense is similarly used in Latin ?
3. Explain the use of μή with the participle in έκβαιν' απήνης τήσδε, μη χαμαι τιθείς τον σον πόδ', &c.
4. Give an outline of the religious system held and inculcated by Æschylus.
5. Point out the social and political importance of the ancient theatrical representations.
6. Describe the arrangement of the Athenian dicasteries as constituted by Pericles and Ephialtes, and compare them with our jury system.
Translate the following passages into English :1. Beginning, Ipse Deus solitus stabulis expellere vaccas, . Ending, Aspiceret, Phoebi quæreret ille comam.
TIBULLUS, Eleg. lib. ii. Eleg. iii. 15-30. 2. Beginning, Cum me Castalia speculans ex arbore Phæbus...... Ending, Qua nova muscoso semita facta solo est.
PROPERTIUS, Eleg. lib. iii. Eleg. iii. 13-26 3. Beginning, Nullus argento color est avaris... Ending, Corpore languor.
HORACE, Carm. lib. ii. Ode ii. 1-16. 4. Beginning, Abacta nulla Veia conscientia ..... Ending, Intabuissent pupulæ.
HORACE, Epod. Liber, Ode v. 29–40.
1. Write notes on the preceding passages where required.
2. Mention any metrical observances which distinguish the Alcaic and Sapphic metres of Horace, or the pentameters of Ovid and Propertius, from the corresponding Greek metres.
3 What Greek lyric poets did Horace imitate ? Quote some of the passages in which he characterizes their writings severally.
4. State the principal laws of the Latin phonetic system, as regards(a) the aspirates, (b) spirants, (c) assimilation and dissimilation of vowels, (d) hiatus within a word.