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Mixed Mathematics.

1. Mechanics of Solid and Fluid Bodies.

2. Optics, Geometrical and Physical.

3. Newton's Principia, Sections I, II, III, and parts of IX

and XI.

4. Astronomy, including the more elementary parts of the

Lunar and Planetary Theories. The subjects of the Papers in the Examination will be as follows:—

A. Elementary Papers, in which the use of the Differential Cal

culus will not be allowed.

1. Algebra and Trigonometry.

2. Geometry.

3. Mechanics and Hydrostatics.

4. Geometrical Optics, Astronomy, and Newton's Principia,

Book I. Sect, i, 2, 3.

B. Advanced Papers.

5. Algebra and Trigonometry.

6. Geometry.

7. Differential Calculus.

8. Integral Calculus.

9. Statics of Solids and Fluids.

10. Dynamics of a Particle.

11. Dynamics.

12. Optics and Astronomy.

13. Problems.

5. Honour School of Natural Science.

1. General Regulations.

1. The Examinations in the School of Natural Science are— (i) A Preliminary Examination, (2) A Final Honour Examination.

2. The Preliminary Examination includes:—(1) Mechanics and Physics, (2) Chemistry, (3) Animal Physiology, (4) Animal Morphology, (5) Botany.

In Chemistry, at least, there will be an Examination of a practical character.

3. A Candidate may present himself for the Preliminary Examination at any time after he has passed Responsions, and he may offer the subjects above mentioned at separate Examinations and more than one subject at the same examination.

4. The Final Honour Examination includes:—(1) Physics, (2) Chemistry, (3) Geology, (4) Animal Physiology, (5) Animal Morphology, (6) Botany. The Examination in each subject is partly practical. No Candidate is required to offer more than one of these subjects.

5. No Candidate is allowed to obtain Honours in any of the subjects of the Final Honour School unless he has satisfied the Examiners in the Preliminary Examination in Mechanics and Physics and in Chemistry; or in any one of the subjects of

'Animal Physiology, Animal Morphology, or Botany unless he has satisfied the Examiners in the Preliminary Examination in the other two: or in the subject of Geology unless he has satisfied the Examiners in the Preliminary Examination in Animal Morphology and Botany.

6. In the Final Honour Examination a Candidate may, in addition to any one or more of the above-mentioned subjects, offer himself for examination in one or more of the following subjects:—(1) Crystallography, (2) Mineralogy, (3) Anthropology, (4) Practical Astronomy.

7. A Candidate whose name has been placed in the Class List upon the result of the Final Examination in any one of the subjects mentioned in cl. 4 may offer himself for examination in any other of the subjects mentioned in the same clause at any subsequent Examination before the end of the twentieth Term from his matriculation.

2. Regulations Of The Board Of The Faculty.

1. Preliminary Examination.

1. Mechanics And Physics.

Elementary questions, not involving Mathematics beyond Algebra to Simple Equations, will be set on the following subjects.

Mechanics. Definition and measurement of velocity. Rectilinear motion with uniform velocity.

Composition and resolution of velocities.
Definition and measurement of acceleration.

Rectilinear motion with uniform acceleration, with or without initial velocity.

Uniform circular motion; centripetal acceleration.
Laws of motion, with illustrations.

Definition and measurement of mass and force, of momentum and impulse, of work and energy.

Conservation and transmutation of energy.
Gravitation; weight.

Weight approximately an uniformly accelerating force.
Motion of falling bodies, illustrated by Atwood's machine.
Motion of a simple pendulum; isochronous vibrations.
Determination of the acceleration of gravity.
Variation of g with place.

Composition, resolution, and equilibrium of forces acting at a point. Composition, resolution, and equilibrium of forces acting in parallel lines.

Couples and their moments.

Centre of parallel forces; centre of gravity.

States of equilibrium, with illustrations.

Simple machines and their mechanical advantage.

Laws of friction, with illustrations.

Laws of elasticity of traction and torsion, with illustrations.
Definition of pressure.

Pressure in fluids; its nature and transmission.

Variation of pressure in a heavy fluid at rest.

Archimedes' principle, and its experimental proof.

Definition and measurement of density and specific gravity, and methods of determining them for solids and liquids by the balance and by hydrometers.

Equilibrium of bodies floating in a liquid.

Equilibrium of non-miscible liquids in communicating vessels.

General phenomena of capillarity.

Boyle's law, and its experimental verification.

Barometer and manometer; their construction, and method of use.

The construction and principles of action of the simpler forms of the following, viz. the air-pump, suction-pump, force-pump, siphon, Mariotte's bottle.

Sound.

Nature, production, and mode of propagation of sound.
Determination of the velocity of sound in different media.
Reflexion and refraction of sound.
Nature and characteristics of musical tones.

Measurement of vibration-frequency, and estimation of wave-length.

Resonance and resonators.

Interference; beats and combinational tones.

Light.

Determination of the velocity of light.
Comparison of the intensities of lights.
Laws of reflexion.

Reflexion by plane and spherical surfaces; formation of images, their position and size. Laws of refraction.

Refraction by plane surfaces and plates.

Total reflexion; mirage.

Refraction by prisms; minimum deviation.

Refraction by lenses; formation of images, their position and size.

Chromatic dispersion; chromatic aberration of lenses; achromatism.

Simple and compound microscopes; astronomical, Galilean and Newtonian telescopes.

The eye, its structure and action as an optical instrument; longsight and short-sight.

Spectroscope; the solar spectrum; spectra of different species; spectrum-analysis.

General phenomena of fluorescence and phosphorescence.

General principles of the wave-theory of light; explanation of reflexion and refraction.

Interference; Newton's rings.

General phenomena of diffraction.

General phenomena of double refraction.

Polarization by reflexion and double refraction.

Explanation of the polarizing action of tourmaline and of a Nicol's prism, with description of the latter.

General phenomena of rotatory polarization.

Heat.

Nature and sources of heat.
Definition of temperature.

Construction and graduation of thermometers; relations between different scales of temperature.

Determination of the mechanical equivalent of heat.

Measurement of the expansibility of solids, liquids, and gases.

Air-thermometer; absolute temperature.

Change of state; influence of pressure; with illustrations.

Measurement of maximum vapour-pressure.

Definition and measurement of specific heat and of latent heat.

Definition and determination of dew-point and of hygrometric state.

Definition of thermal conductivity, with illustrations.

Definition and illustration of convection.

Radiation; its character, and the laws of its reflexion, refraction, emission and absorption. Theory of exchanges.

M

Mapnetism.

Properties of magnets.

Magnetic induction.

General phenomena of diamagnetism.

Processes of magnetization.

Distribution of magnetism in magnets.

Definition of the declination, dip, and intensity at a place, and general method of determining them.

Electricity.

Properties' and laws of action of electrified bodies. Electric induction; definition and illustration of specific inductive capacity.

Processes of producing electrification.
Electroscopes and electrometers.
Distribution of electrification on conductors.
Accumulation of electrification.
Phenomena of discharge.

Definition and illustration of electric quantity, density, potential, capacity.

Production of an electric current.

The cells of Volta, Smee, Poggendorff (bichromate), Daniell, Grove, Leclanche, and their theory.

Production of electric currents by heat.
Physical and chemical effects of currents.

General account of action between currents and currents and between currents and magnets. Simple galvanometers.

Measurement of current-strength, electromotive-force, and resistance. Induction-currents.

Description and general explanation of the Ruhmkorff-coil and the Gramme-machine.

2. Chemistry.

Elementary questions will be set on the following subjects:— Differences between Mechanical Mixture, Solution, and Chemical combination. Differences between Elementary and Compound substances. Laws of Chemical combination. 'Equivalent weights' or 'relative combining proportions' of the elements. Combination in definite, multiple, and reciprocal proportions. The Atomic Theory. 'Atomic weights' of the elements. Molecules. Molecular weights. Relation between the density of a gas and its molecular weight. Avogadro's hypothesis. Combination of gases by volume. Quantivalence.

Meaning of Chemical symbols, formulae, and equations. Calculation of quantities by weight and by volume. Calculation of the percentage composition of a substance from the results of analysis. Calculation of percentage composition from the formula of a substance. Calculation of the formula of a substance from the percentage composition. Combina

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