B.

1. Describe Roy and Ramsden's method of determining the absolute expansion of a solid. Compare their method in point of accuracy with that adopted by Lavoisier and Laplace.

2. Describe some practical method of determining the Boiling Point of a small quantity of liquid.

In the "spheroidal state," how do you account for the vapour pressure being higher below than above the drop?

3. State fully the difference between the two types of fusion and point out anything in the liquid-gas change of state analogous to the "sealing-wax

type.

:

4. Describe Melloni's method of determining Emissive and Absorptive Powers for Radiation.

C.

1. Find the intensity at a given point of the magnetic field due to a distant magnet whose axis passes through the point. Shew the closeness of the approximation given by the "Inverse Cube Law."

2. Describe the experiments necessary for determining the Earth's Magnetic Intensity in amount and direction.

3. Give an account of Boltzmann's observations on the Specific Inductive Capacities of Gases.

4. State and prove the theory of Wheatstone's Bridge. How must this method be modified to allow of our measuring accurately the difference between the resistances of two coils ?

NATURAL PHILOSOPHY.-PART II.

LABORATORY WORK.

The Board of Examiners.

1. Determine the circumference and diameter of the given circular block, and compare the ratio of the two magnitudes with its theoretical value.

2. Measure the thickness of the given glass plate with the spherometer.

3. Determine the Specific Gravity of the given solid with the Hydrostatic Balance.

4. Determine the Boiling Point of the given liquid. 5. Determine the Specific Heat of the given solid.

6. Compare the moments of the two given magnets by means of the deflexion of a small suspended magnet.

7. Measure the coils of the tangent galvanometer, and determine the current from the given battery (H = ·235).

NATURAL PHILOSOPHY.-PART III.

The Board of Examiners.

Not more than THREE questions are to be attempted in any of the four following sections, and not more than TEN in all.

DYNAMICS AND ELASTICITY.

1. Shew that the motion of a rigid body under the

action of any forces may be defined by the statements, first, that its centre of mass moves as if it were a particle of mass equal to that of the body and acted on by forces equal and parallel to those acting on the body; and, second, that the motion relatively to this centre of mass is the same as if that point were fixed while the same forces acted on the body as in the actual motion. 2. Shew that any two simple harmonic motions of the same period in the same straight line compound to a simple harmonic motion, and if not in the same straight line to elliptic motion. Describe briefly any apparatus by means of which harmonic motions may be compounded. 3. Explain in general terms why a uniform beam whose section is a rectangle offers greater resistance to bending under a given couple when the axis of the couple is parallel to the shorter side of the section than when parallel to the longer. Find an expression for the displacement of the free end of such a beam under the action of a force at one end parallel to one of the sides of the section and of the forces required at the other end to hold the beam there at right angles to the line of action of the force at the free end. 4. Define rigidity, and shew with deduction of the necessary theoretical formula how it may be determined experimentally.

5. Explain the theory of the ballistic pendulum.

THERMODYNAMICS.

6. State the second law of Thermodynamics and deduce Carnot's principle.

7. Obtain the usual expression for the efficiency of a Carnot's engine in terms of temperatures by supposing the working substance to be a perfect gas, and explain clearly what properties you ascribe to the perfect gas in doing so.

8. Demonstrate any of the thermodynamic relations, pointing out specially how the two laws of thermodynamics are expressed by it.

9. Describe any experiments which have been, or which in your opinion could be, conducted to verify the second law of thermodynamics.

10. Establish the connection between the latent heat of dilatation of a substance, its specific heat at constant volume, its specific heat at constant pressure, and its coefficient of expansion.

ASTRONOMY.

11. Describe how the uncorrected level error of a transit instrument is found, and determine its effect on the time of transit of a star.

12. Explain how the latitude of a place and the time may be obtained by simultaneous observations of the altitudes of two known stars.

13. State the first two of Kepler's laws, and show from them that the mutual action of sun and planet acts along their join, and varies inversely as its square.

14. The mass of the sun is stated to be 2 × 1027 tons. Give in their logical order the laws that have to be used and the measurements that have to be made before such an estimate is possible.

15. Find an expression for the effect of parallax on the hour angle of a star.

SOUND AND LIGHT.

16. Find an expression for the velocity of propagation of a small transverse disturbance along a stretched string in terms of its tension and its density.

17. Shew how by acoustical experiments it is possible to determine the ratio of the specific heat of a gas at constant pressure to that at constant volume.

18. Explain the production of interference bands by means of a double mirror, and point out exactly what measurements would have to be made in order to obtain a value of wave length from the observation of the bands.

19. State the chief laws of Newton's rings, and shew how they can be obtained analytically by the consideration of the interference of the waves reflected at the two surfaces of the film.

20. Explain the production of a spectrum and the method of measuring wave-lengths by means of a diffraction grating.

ANCIENT HISTORY.

The Board of Examiners.

1. What is the meaning of the word Aryan? Which are the Aryan nations, and what characteristic features do they possess in common?