Εικόνες σελίδας
PDF
Ηλεκτρ. έκδοση

10

8. With the usual notation for a triangle, prove that

b
tan A (B - C) cot } A.

b + c On the base a of the triangle whose sides are b, c and vertical angle is 4, another triangle is constructed having its sides

(6 - - c) cos (b + c) sin

[ocr errors]

find its angles.

9. If ABC be a triangle, and R the radius of its circumscribed circle, 10

prove that

[blocks in formation]

The diagonals of a quadrilateral ABCD meet in 0 : prove that when a circle can be inscribed in the quadrilateral, the sum of the radii of the circles described about the triangles AOB, COD, is equal to the sum of the radii of the circles about 400, BOC.

10. The sides of a quadrilateral inscribed in a circle are a, b, o, d in order; 10 find its area, and shew that the ratio of its diagonals is ab + od: ad + bo .

[ocr errors]

MONDAY, 4TH NOVEMBER.
[10 A.M. TO 1 P.M.]

PHYSICS.

SECTION I. 1. Prove either mathematically or by the graphical method that the 12 space passed over by a falling body is proportional to the square of the time.

A ball was thrown vertically upwards and was caught again after 10 seconds. How high did it fly and what was its original velocity ?

2. Define specific gravity and explain one of the methods by which it 12 may be determined. How is it applied in determining the expansion of solids? Find the cubical expansion of a solid body from the following data: Weight of the solid in air = 500 gr. immersed in water at 4°C.

at 100° C. = 402 gr. Density of water at 100° C. = 97. 3. Describe a lifting pump and explain its action.

6 4. Distinguish between sound and noise, Define " pitch, “intensity 8 of sound," and " timbre." Explain why a sound is better heard when travelling with the wind than when travelling against it.

5. Define “Specific Heat” and explain how it is determined by the 12 method of mixtures.

One kilogram of water at 100° C. is allowed to cool down to 29° C. If the heat given out by the water had been employed to heat 30 kilograms of mercury at 0° C., to what temperature would they be raised ? (Specific heat of mercury *03.)

400 gr.

99

[ocr errors]
[ocr errors]

SEOTION II. 6. A candle flame one inch high is placed 9 inches away from a convex 14 lens, the focal lengti of which is 6 inches. Find the position and size of the resulting image. Make the same calculations, the candle being 4 inches from the same lens Draw diagrams for both cases.

7. Explain what lappens when a bean of light in a dense medium 19 strikes a plane surface, beyond which is air, at different angles.

8. Describe the use of an astatic system of magnet needles in the 12 galvanometer.

9. Describe the Daniell cell, and explain what advantage it has as com- 12 pared with the Volta cell.

WEDNESDAY, 6TI NOVEMBER.
[2 P.M. TO 5 P.M.]

LOGIC.
N.B.--Fold up your answers into two separate bundles-one, Section I

and two, Section II.

SECTION I. 1. (a) Give the function of the copula in a proposition and discuss the 7 question of what must be and what must not be included in it.

(6) Show how language is an instrument of thought.

2. Express logically the following propositions and determine with 10 reasons their quantity and quality :

(a) Speculations are often sublime.
(6) There is no town within these several miles.
(c) Slaves cannot breathe in the air of England.
(d) No scheme for the world's amelioration except my own has a grain

of common sense in it. (e) All the new states have not this privilege. 3. State and account for the relations between the predicates and the 10 subjects of the following propositions :

(a) Some praises proceed merely from flattery.
(6) Youth is fitter for execution than for counsel.
(c) Grass is green.
(d) Henry VII of England was a spicious man but a strong king.

(e) The virtue of prosperity is temperance 4 Criticise the following as definitions :

10 (a) A duel is a meeting of two persons to fight with deadly

weapons. (6) Scotland is a land belonging to the Scots. (c) Procrastination is the thief of time. (d) Poetry is what you get when the lines all begin with a capital

letter and are not of the same length. 5. (a) Examine the division of “property” into "landed, private, 12 movable, generic, consisting of stocks and shares, and the property of the University of Bombay.”

(5) Explain the process of dichotomy, applying it to the division in (a).
(c) Show how definition and division are essentially related processes.
(d) Give the Genus, the Differentia, a Property and an Accident of
' syllogism” and “science."

SECTION II.
6. What inferences can you legitimately draw-
(a) as to the truth or falsehood of the subaltern and the contradic.

tory of

"A few Hindus bave blue eyes." (6) by converting –

Even savages scarcely paint all their limbs.” (c) by converting, in any way you could, and then permuting the

result

“Some of the roses in my garden have not blossomed this year.” 7. Give the special rules of the third Figure and explain why a particular conclusion does not necessitate a particular premiss. Which are the only cases in which this happens ?

8 Determine the mood and the figure and test by reduction, direct in the first 10 example and indirect in the second, the validity of the following arguments :

(a) No one true to the spirit of science deals in patent medicines.

Some dealers in patent medicines are medical men. Therefore

some medical men are not true to the spirit of science. (6) All true leaders have views of their own. No mere demagogues

have any views of their own. Therefore no mere demagogues

are true leaders, 9. Illustrate by an example :(a) Which premiss can be negative and which particular in a

Goclenian sorites. (6) The distinction between Mill's interpretation of the disjunctive

proposition and Fowler's. What is your view ? (c) The ordinary process of rebutting a dilemma, 10. In a Bombay crowd 75 per cent. are Indians and 40 per cent. wear a coloured turban. Out of the former 50 per cent. speak Gujarati. Determine

(a) what proportion of the crowd unust be Indians wearing a coloured

turbad ; (6) what is the probability of any one in the crowd being a Gajaratı.

speaking person. 11. Examine the following arguments, pointing out the fallacies, if any:- 11 (a) General Buller is still entitled to confidence. No doubt he failed

at Colenso, but then he had not men enough. (6) If the spirit of freedom be alive, good government will be ensured

even with bad institutions. But the spirit of freedom is dead and the institutions are bad. How then can we expect good

government ? (c) Enlightened men will never do dark deeds, because light and

darkness can never co-exist. (d) The present bill is a good bill, whatever evil consequences our

opponents may predict, for they have often ma ie such predictions before and have always proved false prophets. Nor should it be forgotten that the framers of the bill are mca of honest intentions, pure morals, and liberal principles.

B 1961-14 cm

V.

EXAMINATION FOR THE DEGREE OF BA.

EXAMINERS

[ocr errors]

M, MACMILLAN, B.A.
The Rev. R. Scott, M.A,

In English.
SHRIDHAR RAMKRISHNA BHANDARKAR,
M.A.

In Sanskrit.
Hari MAHADEV BHADKAMKAR, B.A.
The Rev. E. USTERI, S.J.

In Latin.
N. G. WELINKAR, M.A., LL.B...
SHAIKH FAIZULLABHAI LUKMANJI MUL- In Arabic.

[ocr errors]
[ocr errors]

LA, B.A.

KAVASJI EDALJI KANGA, Esq.
SHERIARJI DADABHAI BHARUCHA, Esq.

In Avesta and Pahlavi,

JEHANGIR E. I SVAR, Officier d’Aca- ) démie, Univ. Gallic.

In French The Rev. S. NOTI, S.J. ...

CASIM SUMAR THARIANI, M.A.
K. M. JHAVERI, M.A., LL.B.

In Persiane

..

[ocr errors]
[ocr errors]

:} In Experimental Physics,

0. V. MULLER, MA.
The Hon'ble Mr. G. K. GOKHALE, B.A.. > In History and Political Economs
The Rev. W. H, WALLRATH, S.J.
D. G. PADHYE, M A.

In Logic and Moral Philosophy.
GOVIND CHIMNAJI BHATE, M.A.
FARDUNJI MANCHERJI DASTOR, M.A.
KAVASJI JAMSHEDJI SANJANA, M.A.

In Mathematics
JAMSHEDJI E. DARUVALA, B. A., B.Sc. .
A, C, L. WILKINSON, M.A., F.R.A.S.
The Rev. F. X, HAAN, S.J.
H. N. ALLEN, B.Sc., Ph.D.
TRIBHUVANDAS KALYANDAS GAJJAR,
M.A., B.Sc., M.S.C.I.

In Inorganic Chemistry.
The Rev, H, KEMP, S.J....

.S ADARJI MERNOSJI

MASANI? B.Sc.

. ANANT NARAYAN SAMBARE, L.M. & s.) MANCHERJI KAVASJI KANGA, M.A., )

B.Sc., L.M. & S.
NUSSERWANJI

In Zoology.
FAKIRJI SURVEYOR,
M.A., BSc., M.D.
Dixshah FarduNJI MILLA, M.A., LL.B. In General Jurisprudence and
LALLUBHAI ASHARAM SHAH, M.A.,LL.B.) Roman Law.

Mabasi, M.A., ) in Botany.

TUESDAY, 19TH NOVEMBER.

(10 A.M, TO 1 P.M.]

ENGLISH.

BACON: Advancement of Learning, Part II, X to end,

SHAKESPEARE : Henry V, and As You Like It.
N.B. - Not more than four questions are to be attempted in each Section.

SECTION 1. 1. From what source is the story of As You Like It taken ? By what 19 additions, omissions and alterations has Shakespeare modified the original story? Show the object of all the additions, omissions and alterations that you mention,

2. Give specimens of Rosalind's wit. What was her method of curing 18 love by counsel and wby did she wish to apply it to Orlando?

What was the dead shepherd's saw and how was it found to be of might?

3. Explain fully why Dowden calls Henry V “Shakespeare's ideal King 19 of England, his ideal man of action.”

4. Quote or give the substance of passages illustrating the part played 19 by Chorus in Henry V and show why Chorus is introduced in that play and not in As You Like It. Give the original meaning of the word 'Chorus.' How do you account for the sense in which the term is used by Shakespeare ? 5. Explain the following passages, naming the speaker in each case :- 19

(a) “ Fa'r round belly with good capon lined.”
(b) As all is mortal in nature, so is all nature in love mortal in

folly.”
(c) He that dies and lives by bloody drops."
(d) “Amarle a finer end and went away an it had been any christom

child.” Discuss the different readings of this passage.
(e) “ Bardolph and Nym bad ten times more valour than this roar-

ing devil i' the old play, that every one may pare his nails with

a wooden dagger."
(f) “I think the king is but a man as I am.”
(9) “ 'Tis a hooded valour and when it appears it will bate."

SECTION II,

[ocr errors]

6. "For human knowledge which concerns the mind it bath two parts, the 19 one that enquireth of the substance or nature of the soul or mind, the other that enquireth of the faculties or functions thereof."

(1) State clearly in modern language and terminology the distinction and division here drawn. (2) What subjects, according to Bacon, come ander the former heading and with what limitation of treatment ? (3) What sciences or arts are included in the latter ? 7. Briefly reproduce Bacon's teaching on the following points :

(1) The merit of the Method of Aphorisms.
(2) The use of human reason in Religion.
(3) The politic knowledge of ourselves.

16

« ΠροηγούμενηΣυνέχεια »