6. Describe fully Fresnel's biprism method of determining the wave length of sodium light.

Why are so many more bands visible with monochromatic than with white light?

7. What do you understand by plane polarized, circularly polarized, and elliptically polarized light?

Give an account of the different methods of obtaining a beam of plane polarized light.

Describe the construction of a Nicol's prism.

8. Describe how to determine the magnetic dip, and state the reasons for each step.

9. Define capacity. Describe the guard ring condenser, and obtain a formula for its capacity. Describe how to compare accurately the capacities of two condensers.

10. Describe Carey Foster's method of comparing two nearly equal resistances.

11. Describe the construction and action of a closed coil ring armature.

Give diagrams showing the general arrangement of the circuits in series, shunt and compound wound dynamos.

12. An electromotor is supplied with current at constant potential. Determine the conditions for maximum efficiency and for maximum activity respectively.

Is there any limit to the speed which it is theoretically possible for the above motor to attain ?

NATURAL PHILOSOPHY.-PART III.

PRACTICAL EXAMINATION.

The Board of Examiners.

1. Investigate the accuracy of the graduation of a micrometer microscope by means of a standard scale.

2. Calculate the water equivalent of the calorimeter and accessories (specific heat of brass being assumed as 0.09), and find the specific heat of the given substance, correcting for heat lost by radiation.

3. Determine the coefficient of expansion of glass by the weight thermometer.

4. Determine the specific rotatory power of the given liquid.

5. Find the wave length of the sodium line.

6. Find the dip by means of Barrow's circle.

7. Find by Thomson's method the resistance of a galvanometer.

8. Compare the capacities of two condensers.

9. Find the logarithmic decrement of the given vibrating body.

ASTRONOMY.

The Board of Examiners.

B.Sc.-PASS EXAMINATION.

1. Describe the Transit Instrument. What are the possible errors in its adjustment, and how are they determined?

2. Explain the difference between sidereal time and solar time. Explain the terms-sidereal year, tropical year, mean solar day, equation of time.

The equation of time arises from two causes. What are they?

Show graphically that the equation of time vanishes four times a year.

3. Explain the phenomenon of aberration.

In consequence of the aberration of light, every star appears to describe an ellipse in the heavens, of which the true place of the star is the centre. Prove this, and find the axes of the ellipse.

Calculate the constant of aberration, having given that it takes light 8′ 18′′ to traverse the mean radius of the earth.

4. Explain the meaning of the term parallax, horizontal equatorial parallax.

Obtain the following formula for parallax:

ap"3

p" = aP" sin z

sin z cos2 z sin2 1′′.

6

5. Describe how the distance of the earth from the sun has been determined by observations of the transit of Venus.

6. Find the elongation of an inferior planet when stationary.

7. Investigate the formulæ for the determination of the solar and lunar ecliptic limits respectively.

ANCIENT HISTORY.

The Board of Examiners.

Answer fully and clearly NINE, and only nine, of the

following questions.

1. What was an Amphiktyony?

What were the

most important Amphiktyonies in Greece? What is known of the principles on which they were founded?

2. Describe very briefly the institutions of Lykurgus.

3. Mention any notable points of contrast between the habits and manners ascribed to the people of legendary Greece, and those ascribed to the people of historical Greece.

4. Give some account of the Seven Wise Men.

5. Trace carefully the consequences of the formation of the Confederacy of Delos.

6. In what did Roman citizenship consist? Trace the history of its extension outside Rome.

7. Describe the functions of the several legislative bodies which existed under the Roman Republic.

8. Examine and illustrate the causes (a) of the ill success which frequently attended the Romans at the outset of their wars, and (b) of the success which they finally attained.

9. In what respects did the policy of Rome towards Italy change during the interval between the Second and Third Punic Wars?

10. Summarise the chief events in the conflict between Rome and Mithradates, and shew how its history is connected with the internal political history of Rome.

11. Shew that the imperial power was a combination of republican offices. Was it anything more?

12. Recount briefly the chief events in the reigns of Vespasian and Titus.

HISTORY OF THE BRITISH EMPIRE.-PART I. The Board of Examiners.

PASS AND FIRST HONOUR PAPER.

Answer fully and clearly NINE, and only nine, of the following questions.

1. At the time of the Teutonic migration to Britain, what system of religion was practised (a) by the invading tribes, (b) by the Romanized Britons, (c) by the non-Romanized Britons?