12. Give a sketch showing the connections of batteries, keys, &c., at both ends of a telegraphic line (Morse direct working system).

Give a sketch showing how in local current working the relay connects the line and local circuits.

NATURAL PHILOSOPHY.-PART II.

The Board of Examiners.

PASS AND FIRST HONOURS PAPER.

No candidate is to attempt more than TEN questions.

1. Define "Angular Velocity," "Angular Momentum," ""Moment of Inertia"; and calculate the value of each for a solid cylinder of density p, length 7, and radius r, which rotates about its longitudinal axis once in every t seconds.

2. Describe some very exact method of determining the time of oscillation of a pendulum, pointing out any special advantages which it possesses as compared with other methods.

3. Describe the constant volume air-thermometer, and shew how to determine the temperature by its

means.

4. Give an account of experiments by which(a) The expansion of water on freezing, and (b) The heat evolved during the process have been accurately measured.

5. Explain the quantities in terms of which the state of any point in the electric field is specified.

How would you determine the amount and direction of the electric induction at a point?

6. Calculate the capacity of a condenser composed of two concentric spheres whose radii are 15.6 and 16 cm. What is the special advantage of this form as compared with a parallel plate condenser?

7. State the theorem of the equivalence of the magnetic fields produced by a current in a small plane closed circuit and by a certain magnet; and describe how it can be experimentally proved.

8. Describe Clark's cell.

Give an account of a zero method of comparing the e.m.f.'s of two cells.

9. Shew how to determine experimentally the velocity of sound in a solid.

10. Obtain the formulæ that express all the possible notes which open and closed organ pipes can emit.

11. The refractive index of crown glass is 1.5. Determine the focal length of a meniscus lens made of it, the radii of curvature of the surfaces being 12 and 20 cm. respectively.

12. Shew how to determine the refractive index of a glass prism, describing the instruments employed and the necessary adjustments.

NATURAL PHILOSOPHY.-PART II.

PRACTICAL EXAMINATION.

The Board of Examiners.

Only THREE experiments to be attempted.

1. Find the specific gravity of a regular solid by weighing and measuring.

2. Calibrate the given tube.

3. Find the specific gravity of kerosene, making any needful corrections.

4. Determine Young's modulus for brass.

5. Find the coefficient of expansion of copper.

6. Determine the specific heat of iron.

7. Calculate the constants of the given current and potential galvanometers, and measure the resistance of the given wire by their means.

8. Investigate the field strength near a magnet, and compare your results with the formula.

9. Verify the inverse square law for magnetism.

10. Determine the resistance of the given coil by the P.O. Box.

11. Find the radius of curvature of a mirror.

12. Find the focal length of a lens.

13. Determine the pitch of a fork by the siren.

14. Arrange an experiment to demonstrate the polarisation e.m.f. of a water voltameter.

NATURAL PHILOSOPHY.—Part III.

The Board of Examiners.

1. Describe and explain fully the method of determining heights by the barometer.

2. Describe how Joule calculated and allowed for the heat lost by radiation in his determination of J.

3. Give an account of Jamin's determination of the ratio of the two specific heats of air.

5. Show that the law of absorption of plane waves can be put in the form IIe-(x-xo) the direction of transmission through the absorbing medium being parallel to the axis of x and I representing the intensity of the waves at x.

Hence explain the fact that the colour of certain substances when examined by transmitted light depends on their thickness.

6. Account, on the principles of the wave theory, for the phenomena and laws of refraction.

7. Explain fully some good method of determining the wave length of light by observations of simple interference phenomena.

8. Describe fully Thomson's absolute electrometer, and give its theory.

9. Describe and give the theory of an absolute method of measuring current.

10. Give an account of two phase alternate current power transmission.

NATURAL PHILOSOPHY.-PART III.

PRACTICAL EXAMINATION.

The Board of Examiners.

1. Determine approximately by means of sodium light the width of the spaces in the given grating.

2. Determine the expansion of water between two fixed temperatures.

3. Find the rotation of the plane of polarized light due to sugar solutions of different strengths; plot a curve expressing your results, and deduce the specific rotatory power of sugar.