NATURAL PHILOSOPHY.-PART I.

The Board of Examiners.

No candidate is to attempt more than TEN questions.

1. Explain what is meant by the conservation of energy, and what by the transformation of energy, and illustrate both principles by reference

to

(1) A clock.

(2) A steam-engine.

2. What is required to specify completely each of the following ideas, velocity, force, mass?

Describe how co-existent velocities and forces are compounded graphically, and how a velocity or force can be resolved graphically.

3. State the laws of friction. Describe the apparatus used and the method of using it to prove them.

4. State the principle of Archimedes, and describe how it can be experimentally verified.

Find the volume and the specific gravity of a body which weighs 256 grammes in air and 192 in water.

If the same body weighed 208 grammes in another liquid, what would the specific gravity of this liquid be?

5. State Boyle's Law.

Describe the apparatus used and the series of experiments performed in order to verify it.

6. Describe the construction of a mercurial thermometer, and how the fixed points on the stem are determined.

7. Define the terms thermal unit, specific heat, latent heat, and describe, fully, the apparatus used and the method of using it, to determine the latent heat of ice.

8. State the laws of refraction of light.

Sketch the path of a ray of light through a prism, and give your reasons for so drawing it.

Explain, with the assistance of a sketch, why a straight stick appears bent when thrust at a slope into water.

9. Explain fully the action of a magnifying glass.

10. Describe fully three methods of magnetising a piece of steel by means of magnets, and one method by means of a voltaic current; explaining clearly how to arrange so that a definite end of the piece of steel shall in all cases be made a north pole.

11. Define unit quantity of electricity, and explain what is meant by the potential of a conductor.

Two small equal spheres, one having a positive charge of 12 units, and the other a negative charge of 3 units, are placed three centimetres apart. What is the mutual force between them? If they are made to touch and again separated to the same distance, what will the mutual force now be?

12. What current will 4 Daniell's cells, each of E.M.F. 1.1 volt., and internal resistance 2 ohms, send through an external circuit whose resistance is 2 ohms.

(a) If the cells are joined up in parallel?
(B) If they are joined up in series?

(7) If they are joined up in two parallel rows of two in series?

NATURAL PHILOSOPHY.-PART II.

The Board of Examiners.

No candidate is to attempt more than TEN questions.

1. Describe some good method of determining the coefficient of linear expansion of a solid.

2. Give a short sketch of Prevost's theory of exchanges.

3. Explain the expressions den-point, maximum vapour tension, hygrometric state.

Describe any dew-point hygrometer, and how to use it to determine the hygrometric state of the air in a room.

4. Prove the two following formulæ in optics:

5. Explain what is meant by irrationality of dispersion, and explain why in general it is not possible with two prisms to make an achromatic combination. Find the conditions that two thin prisms may achromatise as regards the red and violet rays.

6. Describe the astronomical telescope. What is meant by the bright spot, and prove that the linear magnifying power of the telescope is the ratio of the diameter of the object glass to that of the bright spot?

7. State the laws of the transverse vibrations of strings. Describe the monochord, and explain how by its means these laws may be experimentally demonstrated.

8. How would you compare the velocities of sound in different gases?

9. Describe how to compare the capacities of two condensers by means of a quadrant electrometer.

10. Describe fully how to determine the magnetic dip.

11. A battery whose resistance (r) was required, was joined up in circuit with a resistance R of 200 ohms and a galvanometer of 100 ohms, a shunt of 10 ohms being between the poles of the battery.

On removing the shunt it was necessary, in order to reduce the increased deflection to what it was originally, to increase R to 3,200 ohms; what was the resistance of the battery?

12. Describe Ruhmkorff's coil.

NATURAL PHILOSOPHY.—PART II.

PRACTICAL Work.

The Board of Examiners.

1. Determine the density of a solid by the hydrostatic balance.

2. Find the volume of a flask.

3. Determine the thickness of a glass plate by the spherometer.

4. Find the boiling point of the given liquid.

5. Determine the specific heat of a metal.

6. Find the latent heat of steam.

7. Determine the focal length of the given lenses.

8. Find the magnifying power of a telescope.

9. Verify the inverse square law by the magnetic torsion balance.

10. Calculate the constant of the tangent galvanometer, and determine in ampères the current from a Daniell's cell.

11. Find the resistance of the given conductor.

12. Arrange an experiment to verify the theorem termed the parallelogram of forces.