It may be strange-yet who would change
Time's course to slower speeding;
When one by one our friends have gone,
And left our bosoms bleeding?

Heaven gives our years of fading strength
Indemnifying fleetness;

And those of youth, a seeming length,
Proportion'd to their sweetness.

Experimental Physics.

CAMPBELL.

HEAT.

DR. APJOHN.

1. If two different metals have the same length 7 at 32°, and that when raised to 50° the difference of their lengths is found to be d, and the sum of their lengths s, what are their coefficients of expansion?

2. How, using a ball with short tube such as constitutes a weight thermometer, and knowing the coefficient of expansion k of glass, would you determine the coefficient e of absolute expansion of a liquid ?

3. A thermometer has been proposed which rests on the principle that "conducting power of a metallic wire for electricity diminishes as its temperature rises;" give a description of it, and of the manner of making an observation with it.

4. If a wet thermometer placed in dry air, whose pressure is 29.568, shows a temperature at which the tension of aqueous vapour is o. 1959, what is the lowering of temperature which it has experienced?

5. 50 cubic inches of air at 41°, whose fraction of saturation with aqueous vapour is o. 572, is mixed with 75 cubic inches of air at same pressure, whose temperature is 59°, and fraction of saturation 0.48. The same pressure being still maintained, and the temperature of mixture being 51°. 8, you are required to determine its fraction of saturation. N. B. The forces of vapour at the following temperatures are —

1. What is the law of dissipation of an electric charge? Show that the charge at the end of t minutes is found by the equation

2. Describe Grove's gas-battery, and give a diagram illustrative of the relation between the internal action and the decomposition which takes place in an interpolar.

3. Prove the geometrical property of the magnetic curves.

4. Investigate the position of equilibrium of a pair of crossed magnetic needles?

5. Give a construction for the magnetic dip, assuming Biot's theory of terrestrial magnetism.

DR. HAUGHTON.

1. Prove the following formula for the velocity of sound

where h denotes the height of the homogeneous atmosphere at 32°.

2. M. Biot found that when a bell was struck by a hammer, at one end of an iron tube, 3120 ft. long, two sounds were heard at the other end, at an interval of 2 seconds. Find from this observation, the velocity of sound in iron.

3. Define the Grave Harmonic, and apply its theory to the combination of thirds and fifths.

4. Give an account of the four different modes of finding the velocity of light.

5. Explain, and give a formula for, the phenomena of diffraction by a slit.

1. Give the substance of Johnson's criticism on the "Lycidas" of Milton, and discuss its soundness.

2. Sketch the history of Prose Fiction from Defoe to Goldsmith.

3. Give an account of the Bentley and Boyle controversy.

4. Was the astronomy of Milton in "Paradise Lost" Copernican, or Ptolemaic, or sometimes one, and sometimes the other? Quote passages in support of your opinion.

5. Give an account of the most important principles of the system of thought embodied in Pope's " Essay on Man."

6. Write notes on the following words as used by Milton: grain, incentive, limitary, obsequious, succinct, to ruin, Palestine, world.

7. By whom were the following works written:-"The Loves of the Triangles," "The Mysterious Mother,' ""The New Bath Guide," "The Art of Preserving Health," The Sophy," "The Village Minstrel," "The Masque of Anarchy," "The Man of the World," "The Feast of Brougham,' "John Woodvil," "An Heroic Epistle to Sir William Chambers"?

8. Where are the following passages to be found? Explain the allusions contained in them:—

a.

b.

C.

d.

e.

f.

"So when an Angel, by divine command,

With rising tempests shakes a guilty land,
Such as of late o'er pale Britannia past,
Calm and serene he drives the furious blast,
And, pleased the Almighty's orders to perform,
Rides on the whirlwind, and directs the storm."
"Fed with soft dedication all day long,

Horace and he went hand in hand in song.

He help'd to bury whom he help'd to starve." "If thou art thus neglected, what shall we

Hope after death, who are but shreds of thee?" "Born to no pride, inheriting no strife,

Nor marrying Discord in a noble wife."

"Who to the Dean and silver bell can swear,

And sees at Cannon's what was never there."

"Who too deep for his hearers still went on refining,
And thought of convincing, while they thought of dining."

HISTORY.

PROFESSOR BARLOW.

1. Give some account of the following persons :-(a) Simon Boccanegra, (b) The Demoiselle de Divion, (c) John Hunniades.

2. What account does Hallam give of the origin, nature, and proceedings of the Venetian Council of Ten?

3. What are the general events in Italian history which, according to Hallam, give a character to the long period between the death of Frederick II. and the invasion of Charles VIII. ?

4. Write a note on the following statement of Hallam :-"At the expulsion of the English France emerged from the chaos with an altered character and new features of government."

5. Relate the history of the proceedings of Louis XI. with respect to Charles le Temeraire. Who was known as "the Wild Boar of Ardennes," and what became of him?

6. Give some account of the reign of the Emperor Frederick III. What is Ranke's estimate of his character?

7. Hallam remarks that the rolls of Henry VII.'s first Parliament are full of an absurd confusion in thought and language, which is rendered

odious by the purposes to which it is applied; what instances does he give?

8. What are the principal causes which have been assigned for the rebellion of the Percies in the reign of Henry IV. ?

9. How does Hallam account for the fact that Leeds and Birmingham returned no members to Parliament before the Reform Bill of 1832? What is the meaning of boroughs by prescription?

10. What specimens does he give of the difference between our Saxon and Norman jurisprudence? and what is his opinion as to the origin of the Common Law?

SENIOR FRESHMEN.

Mathematics.

A.

MR. W. ROBERTS.

1. Let F, F" be the foci of an ellipse, P any point on it, and Q the foot of a perpendicular let fall from Fupon the tangent at P; prove that the rectangle under FQ and F"P is equal to that under the semi-axis minor, and the semi-diameter conjugate to that passing through P.

2. In an equilateral hyperbola, the semi-diameter passing through any point is equal to the portion of the normal at the point which is terminated by the real axis.

5. On a plane inclined at an angle of 30° to the horizon, what weight will be supported by a power acting at an angle of 45° with the direction of the plane.

6. Two equal weights balance themselves over any number of fixed points by a string attached to them, and passing over the points; required the pressure on each point.

DR. SHAW.

7. If x, y, z be the lengths of lines bisecting the angles of a triangle, and terminated by the opposite sides (a, b, c), show that

8. Find the least force which will suffice to move a rough material point up a plane, the angle of elevation of the plane being a, the weight of point w, and the coefficient of friction μ.

9. Show that the tangent to the curve

ym = axm-1

cuts off from the co-ordinate axes lines equal to the

of the abscissa and ordinate respectively.

11. Find the number of balls in a triangular pile, whose side is 10 balls.

12. If a, b, be the semi-axes of an ellipse, and a', b', conjugate semidiameters, prove that

where a is the angle between a and a', and ẞ the angle between b and b'.

MR. TARLETON.

13. Show that only two independent conditions result from the vanishing of every one of the system of determinants expressed by

14. If a conic be inscribed in a triangle, the lines from each vertex to the points of contact of the opposite side meet in a point?

15. Given the vertical angle of a spherical triangle in magnitude and position, and the ratio of the tangents of the sides; show that the base passes through a fixed point.

16. If the co-ordinates of every point on a curve satisfy the equations

x= a sin (1 + cos $) y=a cos (1 - cos p)

the angle between the axis of a and the tangent at any point is 0.

17. Prove the six equations of equilibrium for a rigid body.

18. A heavy particle is placed on a smooth inclined plane; a fine string attached to the particle passes over a pulley in the same vertical plane as the particle, and sustains a weight; what must be the amount of the weight in order to preserve equilibrium?