2. Describe and give the theory of the weightthermometer method of determining the expansion of a liquid.

3. How may Bunsen's ice calorimeter be employed for determining the Latent Heat of fusion of ice?

4. State Stefan's Law of Cooling, and summarize the

evidence in its favour.

5. Describe experiments in sound, light, and electricity that will illustrate sympathetic resonance 6. Describe how to determine by an acoustic method the ratio of the two specific heats of a gas.

7. A small transparent sphere is used as a magnifying glass. Determine its magnifying power if its diameter is 1 cm. and the refractive index of its material 1.6.

8. An insulated sphere of radius R is charged with Qunits of electricity. Another sphere of radius "at some distance is then joined to the first by a wire of no sensible capacity, which is afterwards removed. Find the resulting surface densities of the spheres.

9. Show that the potential at any point due to a short magnet is

M cos 0

p2

Hence or otherwise determine the magnetic intensity at any point in the prolongation of its

axis.

10. Discuss the elementary theory of Wheatstone's Bridge, and show that its accuracy is independent of any E.M.F.'s in the bridge arms.

At what part of the bridge should the galvanometer be placed?

11. Describe fully the mode of construction of a standard ohm coil, giving reasons for each step of the process of manufacture.

12. Explain why a forward lead must be given to the brushes of a continuous current dynamo, and a backward lead to those of a motor.

NATURAL PHILOSOPHY.-PART II.

PRACTICAL EXAMINATION.

The Board of Examiners.

THREE experiments only to be attempted.

1. Determine the density of common salt.

2. Find Young's modulus for brass.

3. Measure the curvature of the given surface by Foucault's method.

4. Find g by the simple pendulum.

5. Determine the chromatic aberration of a lens.

6. Find the refractive index of kerosene.

7. Determine the pitch of a tuning fork by the monochord. (Density of monochord wire

8.7.).

8. Verify the inverse square law for magnetic poles. 9. Determine the magnetic dip.

10. Verify Joule's Law of the heating effect of a

current.

11. Prove that the conductivity of sets of wires in parallel arc is the sum of their separate conductivities.

12. Find by the hydrogen voltameter the galvanometer constant of the given coil.

NATURAL PHILOSOPHY.—PART III.

The Board of Examiners.

1. Describe Carnot's cycle, and prove that any reversible cycle may be regarded as an assemblage of Carnot's cycles.

2. Show that the intrinsic energy of any ordinary gas is approximately proportional to its absolute temperature.

3. Describe and give the theory of some good method of determining specific thermal conductivity.

4. How has it been proved that the velocities of light in different media are inversely proportional to the refractive indices of these media?

5. Plane waves of light (= 5 x 10-5) pass through a large aperture and travel towards an observer at 1 metre distance. Find the areas in the aperture of the successive half period elements.

6. Obtain an expression connecting the grating space, order of spectrum, and direction of incident and diffracted rays for a grating set in the position of minimum deviation.

7. Describe the cylindrical condenser, and explain fully the precautions which must be taken in determining its dimensions.

8. Give a full account of the evidence on which the equation

9. Give the theory of the Ballistic galvanometer (damping may be neglected).

10. Describe and explain some good method of producing a rotating magnetic field.

NATURAL PHILOSOPHY.-PART III.

PRACTICAL EXAMINATION.

The Board of Examiners.

Only TWO questions to be attempted.

1. Determine the rigidity of the given metal.

2. Find the ratio between the viscosity of a saturated solution of common salt and that of distilled

water.

3. Determine and plot the differences between the readings of a mercurial thermometer and those of an air thermometer between 20° and 100° C.

4. Find the latent heat of steam.

5. Determine the specific resistance of a sample of electric light carbon.

6. Determine the capacity of the given condenser.

7. Find the value of H.

8. Determine by Clark's method the e.m.f. of a Daniell's cell (Latimer Clark cell = 1.434 volt).

9. Find by

means of two monochord wires the

relative wave lengths of the component tones of

a perfect fifth.

10. Determine the wave length of sodium light.

G