2. If W be the weight of a solid in air and W' its weight in a liquid at temperature t, whose density at that temperature is p, shew that the density ▲ of the solid at the same temperature is given by

3. Describe the apparatus required and the experiments that must be made with it in order to determine the expansibility of a gas.

4. State Dulong and Petit's Law of Atomic Heats, and point out how it is of great value in controlling the atomic weight determinations of many elements.

Describe two ways of determining the value in calories of the divisions of the stem of a Bunsen's ice calorimeter.

5. Define capacity. Describe a parallel plate condenser, and obtain an expression for its capacity.

6. Define magnetic moment, magnetic intensity. Determine the magnetic intensity at any point in a plane through the centre of a short bar magnet perpendicular to its length.

7. State the laws by which the direction and magnitude of the current induced in a closed coil placed in a varying magnetic field are determined, and describe how these laws are experimentally verified.

8. What is the characteristic of a dynamo, and how is it obtained?

Give drawings of characteristics typical of series-wound and shunt-wound dynamos respectively, and show how, from the consideration of these characteristics, the method of constructing a constant potential dynamo is derived.

9. Explain what is meant by irrationality of dispersion, and point out its most most important consequence.

Define dispersive power, and obtain an expression for the longitudinal chromatic aberration of a thin lens with parallel incident light.

10. Explain the effect of refraction on the observed zenith distances of heavenly bodies.

Making the simplest possible assumptions (plane earth, homogeneous atmosphere) obtain a formula for correcting observed zenith distances. μ for vacuum to air at 0° and 760 mm = 1.0002943.

11. Describe fully how to experimentally investigate the state of the air as regards motion and pressure in an organ-pipe when sounding.

Describe the condition of things when the pipe is an open one sounding its first overtone.

12. State Mersenne's Laws, and describe how they may be verified by Melde's experiments.

NATURAL PHILOSOPHY.-PART III.

The Board of Examiners.

1. Obtain an expression for the work done by a perfect gas during isentropic expansion in terms of its initial and final temperatures.

2. Establish the following formula which expresses the effect of pressure on the temperature of vaporization

L

dp

v)
do

If the maximum tension of aqueous vapour at 101° C. be 787 6 m.m. of mercury, and if the difference in the specific volumes of steam and water at 100° C. be 1647 determine L, the latent heat of steam at 100° C. (Density of mercury = 13.59.)

3. Describe some good experimental method of determining the ratio of the two specific heats of a gas.

4. Describe some good method of securing identity of phase for two linear sources of light. Show how this arrangement may be used to find λ.

5. Describe an arrangement for determining the relation between the specific rotatory power of a medium and the wave length of the light employed, and explain how to use it.

6. Describe the construction of Ramsden's eye-piece. For what purposes is it more suitable than Huygens's eye-piece?

7. From first principles establish the relation R = 4πN

where R is the electric intensity and N the induction at any point in an electric field.

8. Prove that a flexible loop of wire carrying a current when placed in a magnetic field will always adjust itself so as to embrace the maximum number of lines of force.

9. A plane closed coil of wire is rotated with a uniform angular velocity round a vertical axis in the earth's magnetic field. Determine completely the current that flows through it.

10. Describe the construction of a dynamo that gives a constant continuous current, and give its theory.

NATURAL PHILOSOPHY.

SECOND YEAR (ENGINEERING).

PRACTICAL EXAMINATION.

The Board of Examiners.

Only THREE questions to be attempted.

1. Determine by weighing and measuring the density of a brass cylinder.

2. Calibrate the given tube, and find its mean

section.

3. Determine the coefficient of friction between the given surfaces.

4. Find the value of g by the simple pendulum.

5. Determine Young's modulus for a wire.

6. Find the refractive index of glass by the spectro

meter.

7. Determine the melting point of paraffin.

8. Find the specific heat of copper.

9. Find the magnetic dip.

10. Determine by measurement the galvanometer constant of a coil.

11. Determine the specific electrical resistance of the given material.

12. Verify Joule's Law.

ACOUSTICS.

Professor Lyle.

1. What are the three characteristics of a musical note, and on what physical property of the corresponding vibration does each characteristic depend?