MIXED MATHEMATICS.

Examiner G. W. KÜCHLER, Esq., M.A.

The figures in the margin indicate full marks.

1. Two coplanar forces are presented in magnitude and line of action 15 by AB, AB; shew that their resultant is represented in magnitude and line of action by 2 AB, where A and B are the middle points of 4142, B1B2 respectively.

2. Three forces P, Q, R, act along the sides BC, CA, AB respectively 15 of a triangle ABC. Prove that if P sec A+ Q sec B+R sec C=O, the line of action of the resultant passes through the orthocentre of triangle. 3. Find the centre of gravity

(1) of an arc of a circle;

(2) of a sector of a circle.

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4. A framework in the form of a square ABCD consisting of four 20 weightless rods is suspended from A. The middle points of AB, BC are joined by a string, and equal weights W, W are suspended from the middle points of BC, CD; find the stresses at the angular points of the square. 5. Determine the condition on which a weight can be supported on a rough screw without the action of any force. Find the line of quickest descent

6.

(a) to a given straight line from a given point in the same vertical

plane ;

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(b) from a given vertical circle to another circle withont it in the 10 same plane.

7. Two masses are connected by a string passing over a smooth 10 pulley; find the acceleration.

If two scale-pans, whose weights may be neglected, are connected by a string passing over a smooth pulley, and two weights be placed in them, shew that the pressure between each weight and the scale-pan is equal to the tension of the string.

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8. A particle is projected in vacuo at an elevation a and with a velocity 10 v, find the velocity and direction of motion at a given time. If the partiole strike a vertical wall at a distance k at right angles, and if the angle 12 of projection be 45°, find v.

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9. A particle slides down the outside of a smooth vertical circle. If 12 it starts from rest at the highest point, find where it leaves the curve. Also find the position of the focus of the parabola it subsequently describes.

10. An engine can keep a train of 100 tons going at the rate of 30 miles 18, an hour up an incline of 1 in 50, the friction being equivalent to th the weight of the train; find the power of the engine.

CHEMISTRY.

Examiner H. E. STAPLETON, Esq., B.A., B.Sc. (Oxon).

The same value is attached to each question. Brevity is desirable in answering questions, and sketches should be given when possible.

1. Describe in detail some single method for the manufacture of Caustic Soda.

2.

What is meant by the term 'Osmotic Pressure'? How is it determined, and of what use is it in supporting the Tonic Theory of Solution?

3. How are the three phosphoric acids obtained? By what chemical means are they distinguished from one another ?

4. Describe Dumas' method for determining vapour-densities.

5. Give an account of the usual methods that are adopted to furnish a town with a supply of pure drinking-water. If possible, illustrate your remarks by a description of some local water-works.

6. Write a short essay on Valency.

1. What are the chief results of the experiments which have been made to test the truth of Boyle's law for different gases ?

2. Describe and compare the Voss and Wimshurst influence machines. 3. In what ways can the resistance of a battery be measured? How would you measure the resistance of a thermopile ?

4. What are the chief characteristics of simple harmonic motion? How would you determine by experiment whether a body was vibrating in simple harmonic motion or not?

5. Find the potential at a point due to an infinitely small magnet, and also the magnitude and direction of the magnetic force at that point.

6. Draw diagrams showing the action of an astronomical and of a terres. trial telescope. How is their magnifying power determined?

7. Explain, with diagrams, the construction and action of a Gramme Machine, and also explain why the line of the brushes must be displaced, in the direction of motion, from the plane of symmetry of the field magnets when the circuit is closed.

8. Draw a diagram of a shunt-box for a galvanometer of resistance 10200 ohms. What is the principle of a universal shunt-box?

MATERIALS OF CONSTRUCTION.

Examiner P. G. JACOBS, Esq.

The figures in the margin indicate full marks.

1. Describe a practical method of ascertaining the voids in a 20 sand. What is the max. percentage of voids permissible?

2.

What materials are generally used to form the Matrix and Aggre- 20 gate of a good concrete ? Give the qualities essential for each.

3. Give approximately the percentage of the ingredients in a good 20 Portland cement. Describe the tests necessary to determine its quality. 4. Explain the setting action of the slaked lime in mortar. How does 20 the addition of sand to lime up to a certain ratio increase the strength of the mixture.

5. What is a hydraulic lime and why is it valuable for all construc. tional works ? What is Quicklime, and how is it produced?

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6. Describe a good brickearth. How is it treated for brick-making? 40 Describe how the following are obtained: Fire-bricks, Enamelled bricks, Terra-cotta.

What are their principal uses in building?

7. What are the properties of mild steel? Name the systems of pro- 20 duction of steel.

8. What is the natural method of seasoning timber? How is the 40 process of seasoning hastened? How does decay usually commence in timber? Describe one method of artificially preserving it.

GEODESY.

Examiner-RAI SAHIB ANNADA PRASAD SARKAR, B.E.

The figures in the margin indicate full marks.

1. A space of 216 sqr. inches on a survey map represents an area of 5 20 acres; draw the scale of the map to show poles, yards and (diagonally) feet.

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2. A square plot of land, the correct area of which is 66 acres, is measured with a 100 feet chain, and the area is found to be 66 acres. Find ont the correct length of the chain, assuming there has been an elongation of the chain during the measurement.

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3. What do you understand by the terms, the optical axis and the 25 line of collimation of the telescope of the ordinary Y theodolite? How would you adjust the telescope for collimation?

4. Describe the field operations of a trignometrical survey. Why is 30 it desirable to avoid ill-conditioned triangles?

5. Describe the Plane-Table and its uses. Explain the use of a mag- 20

netic needle in a compass box, with the Plane-Table.

6. If a very accurate result be wanted in levelling a long distance, 35 what practical precautions should be taken in handling the instrument, holding the staves, measuring distances, &c. ?

7. How would you make a contour of a large tract of a tolerably flat country for the purpose of preparing a drainage project?

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Shew how to determine accurately the true meridian. Also state

how the same may be approximately ascertained.

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B.L. Examination.

1905.

PRINCIPLES OF JURISPRUDENCE.

FIRST PAPER.

Paper set by-W. GRAHAM, Esq.

Candidates are requested to use separate books for their answers to the first and second halves of the paper, and to write on the cover FIRST HALF OF SECOND HALF, as the case may be.

The figures in the margin indicate full marks,

FIRST HALF.

Examiner-BRAJENDRALAL MITRA, ESQ., M.A.

1. What Bills of the Local Councils require the previous sanction of the Governor-General in Council? What is the limit of the legislative power of the Governor-General in Council?

What was the status of Europeans in India at the first settlement in 8 Bengal? Give the general effect of the charters of Elizabeth, James I, and Charles II.

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3. Explain the statement law may be too rapidly developed.' 4. Apply the historical method of investigation to the history of Wills. 10 5. What are antecedent rights in rem, antecedent rights in personam, remedial rights? Give the chief antecedent rights in rem. 6. What are the most important contracts for services? account of each.

SECOND HALF.

Give a short

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Examiner-T, THORNHILL, ESQ., B.A., LL.B.

1. Give a brief history of the police organization in Bengal.
2. What was the Regulating Act? Give its chief provisions.
3. Discuss the Roman principle of occupancy.'

4. What were 'Res mancipi,' 'res nec mancipi,' and 'Tradition'? What is the fallacy of saying that 'tradition which belongs to the law Natural is more ancient than Mancipatio which is an invention of Civil Society'?

5. Discuss shortly the terms-Positive Law, People, State, Sovereignty. 10 6. What are the chief' jura in re aliena'? Give a short account of

each.

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THE LAW OF TESTAMENTARY SUCCESSION, ETC.

SECOND PAPER.

Paper set by BABU SRISCHANDRA CHAUDHURI, M.A., B.L.

Candidates are requested to use separate books for their answers to the first and second halves of the paper, and to write on the cover FIRST HALF or SECOND HALF, as the case may be.

The figures in the margin indicate full marks.

FIRST HALF.

Examiner K. CHAUDHURI, Esq., M.A.

1. (a) Describe the effect of Domicile on intestate succession to the estate of a deceased person under the provision of the Indian Succession Act.

(b) What are the cases mentioned in the Act in which a person can acquire a new domicile during minority?

2. What is the age of majority of a minor domiciled in British India,— (a) of whose property a guardian ad litem has been appointed under the Civil Procedure Code?

(b) of whose person an executor has been appointed by will as guardian, and probate of the Will taken out by the executor ?

Give reasons for your answer.

3. What is the rule for computing the exact date of attainment of majority (a) in England, and (b) in British India? Illustrate your answers by examples.

4. State the general rule in England under which contracts made by a minor are pronounced void, valid, or voidable at election after attainment of majority. What is the present law in England as to ratification on attainment of majority?

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5. State the substance of the Coronation Oath' prescribed by 10 1 W.& M., c. 6, and the Oath of allegiance' used before the Revolution. How was the latter afterwards modified? Explain the terms 'Natural Allegiance' and 'Local Allegiance.'

6. Explain the expressions 'King can do no wrong,' and 'In him there 15 can be no negligence or laches,' in the form of a short essay.

SECOND HALF.

Examiner-BABU MOHINIMOHAN CHAKRABARTI, M.A., B.L.

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State the

1. Explain the terms 'Specific legacy,' 'Demonstrative legacy,' 'Ademption of legacy.' Illustrate your answers by examples. 2. What is a Wasiat'? For what objects is it lawful? modes of revocation of different kinds of bequests made in Wasiats. 3. State briefly the points of law decided in the Tagore Case. What is 'Probate'? To whom may it be granted under Act V of 1881 P To whom and under what circumstances may letters of administration with Will annexed and without a Will annexed be granted to the estate of a deceased person?

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5. What are the provisions of the Probate and Administration Act as to the powers of executors and administrators as to sales of immovable property of the estate vested in them as such?