(DENG 1)

B.A./B.Com./B.Sc./B.B.M./B.H.M. DEGREE EXAMINATION, JUNE 2010.

(Examination at the end of First Year)

Part I — English

Paper I — GENERAL ENGLISH

Time : Three hours Maximum : 100 marks

PART A

(10 × 1 = 10)

(ANALYTICAL SKILLS)

1. Read the following passages and answer the questions that follow :

(a) Well, I haven’t been but out much lately. I don’t like this weather a bit. Why, we haven’t

had a dry day for weeks, have we?

(i) Who is the speaker of these words?

(ii) I haven’t been out much lately... why?

(iii) Why doesn’t she like this weather?

(iv) Who is the listener of these words?

(v) Have we? What is it?

(b) I made the tea in the morning and then would take my time buying the day’s supplies,

usually making a profit of about a rupee a day. I think he knew I made a little money

this way but he did not seem to mind.

(i) I made tea... who is the ‘I’?

(1) Dasa (2) Hari Singh

(3) Ruskin Bond (4) Anil.

(ii) The writer of this passage is

(1) Ruskin Bond (2) R.K. Narayan

(3) James Thurber (4) D.H. Spencer.

(iii) How much profit does he make usually a day?

(1) Two rupees (2) One rupee

(3) Five rupees (4) Fifty paise.

(iv) I think he knew that I made a little money this way... who is the ‘he’?

(v) This passage is taken from.....

(1) Lovers’ Reunion (2) Dolly at the Dentist

(DENG 1) 2

(3) Letter to Indu (4) The Thief’s story.

2. (a) Correct the following sentences : (5 × 1 = 5)

(i) She ordered for a cup of tea.

(ii) They discussed about the matter.

(iii) She called him as a fool.

(iv) He sat besides the window.

(v) The furniture in his house are new.

(b) Rewrite the sentences as directed : (5 × 1 = 5)

(i) He killed the snake. (change the voice)

(ii) Raghu is not as tall as Ashok. (change into comparative degree)

(iii) Amar said that he bought a new pen. (convey the meaning changing to direct

speech)

(iv) He gave me a blue bag. (change into complex sentence)

(v) Don’t throw stones ——————— dogs. (insert the correct preposition)

(c) Change the following into indirect speech. (2)

(i) She said, “Have you paid the fees”?

(ii) My mother said, “Do your homework”.

(d) Fill in the blanks with correct forms of verbs given in the brackets : (5 × 1 = 5)

(i) Dolphins ——————— in the water. (live)

(ii) Gopal ——————— an apple everyday. (eat)

(iii) Children ——————— in the garden now. (play)

(iv) He ——————— from Delhi yesterday. (return)

(v) I ——————— you at the station tomorrow. (meet)

(e) Fill in the blanks with suitable words given at the end of the list : (5)

(i) ——————— he was poor, he was honest.

(ii) They are ——————— grapes.

(iii) Children are fond ——————— ice cream.

(iv) Atheists do not have ——————— in God.

(v) She prefers coffee ——————— tea.

(DENG 1) 3

(to, though, sour, faith, of)

(f) Rewrite the following set of jumbled sentences to make them into a coherent passage :

(4)

(i) By train to go I want Tirupati to.

(ii) Difficult very is it travel to the general compartment in.

(iii) Like so would I a train reserve ticket to for berth coach sleeper in.

(iv) Go I the railway station to days nine or ten advance in.

(g) Attempt a dialogue between a wife and her husband discussing the progress of study of

their two children. (4)

(h) Write a paragraph using the following hints : (5)

College Day celebrations – fixing of Chief Guest - buying prizes – arranging a stage –

decorations – seating arrangements for guests – students – cultural activities.

(i) Write an essay in about 100 words on any ONE of the following : (5)

(i) Role of internet in Education.

(ii) Change of Food Habits among youth.

(iii) Impact of cinema on youth.

PART B

(DESCRIPTIVE SKILLS)

3. Write an essay on any ONE of the following : (1 × 10 = 10)

(a) Narrate how Arthur and Eve were

united at last in the story, “Lovers’ Reunion”.

(b) Summarize the conversation between the dentist and Dolly.

(c) Describe the events that brought a change in Hari Singh’s heart in “The Thief’s story”.

4. Write short notes on any THREE of the following : (3 × 5 = 15)

(a) What are the thoughts expressed by Milton in his sonnet, “On His Having Arrived at the

Age of Twenty – Three”.

(b) Write a note on Wordsworth’s idea that Nature is a good teacher.

(c) Write an appreciation of the poem, “The Express”.

(d) Why does the poet think that it is difficult to kill a tree?

(DENG 1) 4

(e) Attempt a brief summary of the poem “Piano and Drums”.

5. Write an essay on ONE of the following : (1 × 10 = 10)

(a) Bring out in an essay the difficulties endured by the refuges as narrated by Pearl

S. Buck.

(b) “Romance at short notice was her speciality”. How far is this true in the case of vera in

“The Open Window”?

(c) Bring out the irony in the short story, “The Fortune Teller”.

6. (a) Explain any TWO of the following : (2 × 5 = 10)

(i) I don’t like this weather a bit.

(ii) “Don’t call me on idler hereafter”.

(iii) That was my first tooth.

(b) Explain ONE of the following : (5)

(i) Why Preyest thou thus upon the poet’s heart Vulture, those wings are dull realities?

(ii) Glad till the dancing stops, and the tilt of the music ends

Laugh till the game is played; and be you Merry, my friends.

——————

(DTEL 1)

B.A./B.Com./B.Sc./B.B.M./B.H.M. DEGREE EXAMINATION, JUNE 2010.

(Examination at the end of First Year)

Part I — Telugu

Paper I — POETRY, NOVEL AND GRAMMAR

Time : Three hours Maximum : 100 marks

çÜÐèþ*«§é¯éË$ ÐéÅÐèþàÇMæü…ÌZV>°, V>…«¨Mæü…ÌZV>° Æ>Äæý$Ðèþ^èþ$a¯èþ$.

1. Mìü…¨ 糧éÅËËK JMæü §é°Mìü 糆 糧éÆæÿ¦™é™èþµÆ>ÅË$ Æ>Äæý$…yìþ. (8)

(a) ÑÐèþ$ËÄæý$ÔZ°«© ç³#Ææÿ$çÙÐèþ–™èþ¢ Ððþ$‚ý$…Væü$^èþ$ ¯èþ$…yæþ$¶lÐðþÐóþ

§æþÐèþ$$˯èþ$ º…^èþ¿æý*™èþÐèþ$$Ë$ «§æþÆæÿ$ÃÐèþ# çÜ…«§æþÅË$¯èþ…™èþ Æ>™èþÃÄæý$$¯Œþ

Äæý$Ðèþ$$ yæþ$¯èþ$ f…§æþ çÜ*Ææÿ$ÅË$ ¯èþçßý…º$¯èþ$ Æ>†Äæý$$¯èþ¯èþÃà 糧é

Ææÿ¦Ðèþ$$ ÍÑÄæý$$…yæþV> ¯èþÆæÿ$ yæþ$ §æþMöP¯èþ ¯óþÆæÿ$a¯ðþ ™èþ¯èþ$²Ðèþ$$_a˯Œþ.

(b) GÐèþÓÆæÿ$ Væü¯èþ²¯ðþ†¢Mö°Äñý$…™èþÄæý$$ Ðóþyæþ$MæüÐèþ$$§æþ$ªÌêyæþ¶V>

¯ðþÐèþÓ˶»ê‚ìý´ë‚ìý™èþÆæÿâôý„æü×ý©«¨™èþ$ÌŸ´÷µ¯ö糚Ððþ$O

Ðèþ$$ÐèþÓË$ Væü…rË$ ¯öÃÆæÿÄæý$Ðèþ$$…§æþsìýMæü* MæüsìýÆ>ÑÆóÿMæü™ø

¯èþÐèþÓ¯èþ gê„æü$¶yéyæþ$¶gñýË$ ÐèþÇÃͶ»ñý…^èþ$ f¯èþ…º$ ^èþ*yìþPMìü¯Œþ.

2. Mìü…¨ Ðé°ÌZ "A' ¿êVæü… ¯èþ$…yìþ Æðÿ…yìþ…sìýMìü, "B' ¿êVæü… ¯èþ$…yìþ Æðÿ…yìþ…sìýMìü çÜ…§æþÆæÿ çÜíßý™èþ ÐéÅQÅË$ Æ>Äæý$…yìþ. (4 × 3 = 12)

A&¿êVæü…

(a) çÜ™èþ$ËMóüyæþ$Væüyæþ Äæý$$¶º™èþ$Ë ^èþ*Ððþ

(b) Ò‚ìý¶yìþ Äñý$O¯èþÐèþ*°íÜMìü Ððþ…yìþÑÐóþMæüÐèþ$$ MæüËY¯óþÆæÿ$a¯óþ

(c) ÔðýOËMæü$…fÆæÿ MæüË¿æý…º$ ÐøÌñý¯öò³µ

(d) Ðóþ§æþ ÐéMæüÅ…º$ º$«§æþ$˯èþ ѯèþÐðþ ^ðþç³#Ðèþ$

(DTEL 1) 2

B&¿êVæü…

(a) ç³N¯èþ$çܵÆæÿ¦¯èþ$ ѧæþÅË…§óþ

(b) çßý–§æþÄæý$Ðèþ$$Ë$ `Ía ^èþ§æþ$Ðèþ#yø çܧæþÄæý$$ÌêÆæÿ

(c) íÜÇÄñý$¿ZVøç³Ë¼¦Mìü iÐèþVæü‚ýÊ

(d) EÍMìüç³yæþ$ fº$¾Væü˧æþ$ Òyæþ$¯èþ²^ør.

3. Mìü…¨ Ðé°ÌZ "A' ¿êVæü… ¯èþ$…yìþ JMæü §é°Mìü "B' ¿êVæü… ¯èþ$…yìþ JMæü §é°Mìü ÐéÅçÜÆæÿ*ç³ çÜÐèþ$«§é¯éË$ Æ>Äæý$…yìþ. (2 × 10 = 20)

A&¿êVæü…

(a) ""ÔèýMæü$…™èþÌZ ´ëRêůèþÐèþ$$'' B«§éÆæÿ…V> ¯èþ¯èþ²Äæý$ MæüÑ™éÈ™èþ$Ͳ ™ðþËç³…yìþ.

Ìôý§é

(b) ""»ñýfjÐèþ$à §óþÑ Mæü£æþ Ðèþ*™èþ– Ðé™èþÞÌêÅ°Mìü 糡Mæü'' GsZÏ°Ææÿ*í³…^èþ…yìþ.

B&¿êVæü…

(a) ´ëuæÿÅ¿êVæüÐèþ*«§éÆæÿ…V> §ú糨 Ðèþ*¯èþíÜMæü Ðóþ§æþ¯èþ¯èþ$ _†…^èþ…yìþ.

Ìôý§é

(b) »êËMæü–çÙ$~° Mîüyæþ˯èþ$ ÑÐèþÇ…^èþ…yìþ.

4. Mìü…¨ Ðé°ÌZ "A' ¿êVæü… ¯èþ$…yìþ JMæü §é°Mìü, "B' ¿êVæü… ¯èþ$…yìþ JMæü §é°Mæü ÐéÅçÜ Ææÿ*ç³ çÜÐèþ*«§é¯éË$ Æ>Äæý$…yìþ. (2 × 10 = 20)

A&¿êVæü…

(a) Væü$Ææÿgêyæþ ^ésìý ^ðþí³µ¯èþ §óþÔèý ¿æýMìü¢° ™ðþÍÄæý$ gôýÄæý$…yìþ.

Ìôý§é

(b) Æ>Äæý$´ùË$ ^óþíܯèþ ç³»Z«§æþÐðþ$sìýt§ø ÑÐèþÇ…^èþ…yìþ.

B&¿êVæü…

(a) ´ëuæÿÅ¿êVæüÐèþ*«§éÆæÿ…V> gêçÙ$Ðé ™ðþÍí³¯èþ çÜ…§óþÔ>°² õ³ÆöP¯èþ…yìþ.

Ìôý§é

(b) "ò³¯óþ²sìý ´ër'ÌZ ѧéÓ¯Œþ ÑÔèýÓ… Fíßý…_¯èþ Æ>Äæý$ËïÜÐèþ$ ÐèþÆæÿ~¯èþ Gsìýt§ø ÑÐèþÇ…^èþ…yìþ.

(DTEL 1) 3

5. Mìü…¨ Ðé°ÌZ Æðÿ…yìþ…sìýMìü çÜÐèþ*«§é¯éË$ Æ>Äæý$…yìþ. (2 × 10 = 20)

(a) "M>Ìê¡™èþÐèþÅMæü$¢Ë$' ¯èþÐèþËÌZ ÐèþÇ~…_¯èþ Mæü$r$…º ÐèþÅÐèþçܦ Gsìýt¨.

(b) C…¨Ææÿ ´ë™èþ ÑÕçÙt™èþ¯èþ ™ðþ˵…yìþ.

(c) Mæü–çÙ~Ðèþ$*Ç¢ ´ë™èþ _™èþ×ýV>Ñ…^èþ…yìþ.

(d) ÐèþçÜ$…«§æþÆæÿ ´ë™èþ L¯èþ²™éÅ°² ÑÐèþÇ…^èþ…yìþ.

6. (a) Mìü…¨ Ðé°ÌZ AÆÿ$$…¨…sìýMìü Ñyæþ©íÜ çÜ…«¨M>Æ>Å˯èþ$ Æ>Äæý$…yìþ. (5 × 2 = 10)

(i) Ðèþ$$RêÆæÿÑ…§æþÐèþ$$

(ii) ç³ÆæÿÐóþ$Ôèý$yæþ$

(iii) A™èþÅ…™èþÐèþ$$

(iv) ÌZMðüOMæü

(v) A§óþªÐèþ#yæþ$

(vi) ç³#sìýt°Ë$Ï

(vii) Ñ…§æþõÜíÜ

(viii) fÐèþÆ>Ë$

(ix) _Væü$Ææÿ$sêMæü$

(x) LÆúÆæÿ

(b) Mìü…¨ Ðé°ÌZ AÆÿ$$…¨…sìýMìü ÑVæüçßýÐéM>ÅË$ Æ>íÜ çÜÐèþ*çÜ ¯éÐèþ*Ë$ ™ðþËç³…yìþ. (5 × 2 = 10)

(i) Mæü‚ýMæü…uæÿ$¶yæþ$

(ii) ¿æýMæü¢Ðèþ$…yæþÍ

(DTEL 1) 4

(iii) Ðèþ$Væü¼yæþz

(iv) Ðèþ$$_a^èþ$a

(v) f¯èþ糆

(vi) ¡Ðèþ™óþfÐèþ$$

(vii) çÜÆæÿíÜf¯é¿æý$yæþ$

(viii) A¯èþ²§æþÐèþ$$ÃË$

(ix) Ðèþ¯èþgê„æü$yæþ$

(x) Mæü*ÆæÿV>Äæý$Ë$.

———————

(DSAN 1) (NR)

B.A./B.Com./B.Sc./B.B.M./B.H.M. DEGREE

EXAMINATION, JUNE 2010.

(Examination at the end of First Year)

Part I — Sanskrit

Paper I — POETRY, GRAMMER AND TRANSLATION

Time : Three hours Maximum : 100 marks

This paper may be answered in English or Telugu or

Sanskrit. While writing Sanskrit Devangari script

should be used.

1. (a) XeaWñ`amÁ o àOmZm§ pñWqV dU©`V?

Describe the position of the public in the rule

of King Dasartha. (15)

Or

(b) nmd©Ë`m: gadr OQ>b àV H$_wdmM dU©`V&

Describe the reply given by Parvati’s ward to

the bachelor.

2. (a) dXþaoU dU©VmZ _wI©bjUmZ dd¥UwV?

Explain the characteristics of the fools as

described by the Vidura. (15)

Or

(DSAN 1) (NR) 2

(b) nmR²>`^mJ_Zwg¥Ë` fS²>F$VyZ² dU©`V?

Describe the six seasons according to the

prescribed portions.

3. (a) amOdmhZH¥$Vm§ ÛOmonH¥$qV deX`V?

Explain the favour done to the Brahmin by

hanaaRajav . (15)

Or

(b) _¥Vmo‚mrdZ§ Zm_monm»`mZ§ g§J¥•rV?

Summarise the story of _¥VmoÁOrdZ_²&

4. MËd[a gàH$aU§ ì`m»`mV&

Answer any FOUR with reference to context.

(4 × 5 = 20)

(a) jUH$_V g_ñV§ dÕ g§gmad¥Îm_²&

(b) AmË_mW n¥WZr Ë`OoV²&

(c) ZjÌmUrd MÝÐ_m:&

(d) `moVmk: gd©H$_©Um_²&

(e) _ZmoaWmZm_JVZ© dKwVo&

(f) Apñ_Z² H$mZZo Xÿar H¥$VH$b‘>mo dgm_&

(g) dZJ©Vmo Yy_ Bdmd^mgo&

(h) XÿV_wIm h amOmZ: gd© Ed&

(DSAN 1) (NR) 3

5. Translate any TWO into English or Telugu.

íbmoH$Û § Am§½b ^mf`m dm Am§ÝY« ^mf`m dm AZwdXV&(2 × 3 21 =7)

(a) Am ©H$_©U aÁ`ÝVo ^yVH$_©U Hw$d©Vo& hV§ M Zmä`gy`pÝV npÊS>Vm ^aVf©^&& (b) AZoZ Y_©: gdeof_Ú _o ÌdJ©gma: àV^mV ^mdZr& Ëd`m _ZmoZd©f`mW©H$m_Wm `XoH§$ Ed àVJ¥ø goì oVo&&

(c) H$m_r dm Z H$X`m dm Z¥e§g: nwéf: H$MV²& Ðïw>§ eŠ`_`moÜ`m`m§ ZmdÛmÝZ M ZmpñVH$:&& (d) AZmaV§ amJnarVMoVm: dgÝV_yV©: gwVam§ Z ao Oo& AZÝV ^mdmdb _mZgm§Vm `emoYam§ drú` d`moqJZrVw&&

6. (a) Write the forms of any THREE in other

numbers of the given person.

Ì`mUm§ BVadMZofw ê$nmU bIV& (3 × 2 =6)

(i) A^mfo (ii) ^dm_

(iii) J_î`pÝV (iv) _moXVo

(v) ñ_: (vi) Hw$`m©:

(b) Write the forms of any FOUR in the given

case.

MVwUm© VÎmÛ^º$fw ê$nmU bIV& (4 × 2= 8)

(i) XodmZm_y

(ii) H$dfw

(iii) ho nVa :

(DSAN 1) (NR) 4

(iv) a_m ¡

(v) dYy^:

(vi) _YwZ&

(c) Combine any FOUR. (4 × 2= 8)

MËdm[a gÝYÎm&

(i) Wmo + AV

(ii) Jwé + CnXoe

(iii) Zd + CX`:

(iv) VXÿ + Ob_²

(v) fQ²> +_wI:

(vi) ed: + Ah_²

(d) Dissolve any THREE. (3 × 2= 6)

Ì`mUm§ dJ«hdmŠ`mZ bIVm&

(i) `Wmeº$

(ii) H¥$îUlV:

(iii) AY_©:

(iv) ZrbmoËnb_²

(v) Ì^wdZ_²

(vi) erVmoîUm_²&

—————————

(DHIN 1 (NR))

B.A./B.Com./B.Sc./B.B.M./B.H.M. DEGREE

EXAMINATION, JUNE 2010.

(Examination at the end of First Year)

Part I – Hindi

Paper I – GENERAL HINDI

Time : Three hours Maximum : 100 marks

1. H$Ýht VrZ JÚm§em| H$s gàg§J ì`m»`m H$sOE & (24)

(a) dV©_mZ OrdZ H$s dH¥$V`m| Am¡a dS>§dZmAm| Ho$ do gƒo _§Ì-Ðï>m aMZmH$ma h¡ &

(b) ^maVr` gmhË` H$s EH$Vm H$m AmXe© gX¡d h_mar amîQ´>r` EH$Vm Ho$ bE Aj` lmoV ahm h¡ Am¡a ahZm MmhE &

(c) AÀN>r H$dVm Aä`mg go Zht AmVr&

(d) Amn XþXm©ÝV S>mHy$ Ho$ Xb _| dZmoX à`Vm ^a XrOE dh bmoH$VÝÌ H$m brS>a hmo OmEJm &

(e) Og hmbm hb H$s Ádmbm go MamMa g¥pîQ> AHw$bm CR>r Cgo e§H$a ghO hr nr J o &

(f) ZB© ~mVm| go K~amZm Am¡a CZHo$ njnV`m| H$s qZXm H$aZm _Zwî` H$m ñd^md hmo J`m h¡ &

(DHIN 1 (NR)) 2

2. H$gr EH$ nmR> H$m gmam§e bIE & (15)

(a) H$d Am¡a H$dVm

(b) ^maVr` gmhË` H$s EH$Vm

(c) Zrb H§$R>

3. (a) ‘CgZo H$hm Wm’ AWdm ‘R>mHw$a H$m Hw$Am±’ H$hmZr H$m gmam§e bIE & (7)

(b) ‘_mbVr’ AWdm ‘bhZmqgh’ H$m M[aÌ MÌU H$sOE (7)

(c) ‘Mr\$ H$s XmdV’ AWdm ‘nwañH$ma’ H$hmZr H$m CÔoí` bIE

(7)

4. (a) ZåZbIV dmŠ`m| H$mo ewÕ H$sOE & (10)

(i) bS>H$m gZo_m XoIr h¡ &

(ii) amZr AÀN>r Vah H$m_ H$`m &

(iii) CgZo ImZm ImVm h¡ &

(iv) CgH$m ~hZ gw§Xa h¡ &

(v) am_ XeaW H$s nwÌ h¡ &

(DHIN 1 (NR)) 3

(b) gyMZm Ho$ AZwgma bIE & (10)

(i) _¢Zo `h H$m_ H$`m (dmM` ~Xbm|)

(ii) _¢ `h H$b_ Zht MmhE & (dMZ ~Xbm|)

(iii) Ka Ho$ ~mha ~ƒo Iob aho h¢ ( ^dî`V H$mb _| bI|)

(iv) AmO _oar ~oQ>r H$s emXr h¡ ( qbJ ~XbH$a bIE)

(v) _¡XmZ ---- b‹S>Ho$ Iob aho h¢ (H$maH$ M• bJmBE)

5. (a) AnZr ~hZ H$s emXr na AnZo _Ì H$mo Am_§ÌV H$aVo hþE EH$ nÌ bIE & (10)

AWdm

(b) Zm¡H$ar Ho$ bE AmdoXZ nÌ XoVo hþE àYmZ AÜ`mnH$ Ho$ Zm_ na nÌ bIE &

6. ZåZbIV JÚm§e H$m erf©H$ XoH$a bJ^J EH$ VhmB© _| g§jßVrH$aU H$sOE & (10)

O~ O~ _¢ H$bH$Îmo Ho$ M‹S>`mKa _| J`m hþ± V~-V~ _wPo Eogm bJVm h¡ H$ g§gma Ho$ Ordm| _| g~go AYH$ J§^ra Am¡a qMVm_½Z Moham Cg M‹S>`m Ka _| aIo hþE EH$ dZ_mZwf H$m h¡ & CgH$mo XoIVo hr n‹S>Vm h¡ H$ g§gma H$s g_ñV doXZm H$s dh hñV^bH$ H$mo ^m±V XoI ahm h¡ Am¡a AnZr gwXÿanmV©Zr Ñï> goo BZ AmZoOmZo dmbo Xe©H$m| H$ H$éU ^dî` Ho dh àm`j XoI ahm h¡&

———————

(DICS 1)

B.A./B.Com./B.Sc. DEGREE EXAMINATION, JUNE 2010.

(Examination at the end of First Year)

Paper I — INDIAN HERITAGE AND CULTURE

Time : One and a half hours Maximum : 50 marks

SECTION A — (2 × 13 = 26 marks)

Answer any TWO questions in this Section, each in about 60 lines.

1. Define culture and discuss the chief features of Ancient Indian Culture.

çÜ…çÜP –†° °ÆæÿÓ_…_ ´ë`¯èþ ¿êÆæÿ™èþ§óþÔèý çÜ…çÜP –† 糫§é¯èþ Ë„æü×ýÐèþ$$˯èþ$ ^èþÇa…ç³#Ðèþ$$.

2. Discuss the cultural conditions under Satavahanas.

Ýë™èþÐéçßý¯èþ$Ë M>ËÐèþ$$¯ésìý Ýë…çÜP –†Mæü ç³Çíܦ™èþ$˯èþ$ ^èþÇa…ç³#Ðèþ$$.

3. Assess the contribution of Pallavas to art and architecture.

Õ˵ Mæüâæý, ÐéçÜ$¢ °Æ>Ã×ýÐèþ$$ËMæü$ ç³ËÏÐèþ#Ë$ ^óþíܯèþ Mæü–íÙ° A…^èþ¯é ÐóþÄæý$$Ðèþ$$.

4. Examine the administrative system of Akbar.

AMæü¾Ææÿ$ ç³Ç´ë˯é Ñ«§é¯èþÐèþ$$¯èþ$ ç³È„ìü…ç³#Ðèþ$$.

5. Mention the impact of Islam on Indian culture.

¿êÆæÿ¡Äæý$ çÜ…çÜP –†ò³O Ðèþ$çßýÐèþ$éÄæý$ Ðèþ$™èþ 糿êÐèþÐèþ$$ õ³ÆöP¯èþ$Ðèþ$$.

6. Write a note on the eradication of untouchability in India.

¿êÆæÿ™èþ§óþÔèýÐèþ$$ÌZ A…rÆ>°™èþ¯èþÐèþ$$ °Ææÿ*Ã˯èþò³O JMæü ÐéÅçÜÐèþ$$ ÐéÄæý$$Ðèþ$$.

SECTION B — (3 × 4 = 12 marks)

Write short notes on any THREE of the following in about 20 lines each.

7. Asoka’s Dhamma policy.

AÔZMæü$° «§æþÐèþ$à ѫ§é¯èþÐèþ$$.

8. Gandhara art.

V>…«§éÆæÿ Mæüâæý.

9. Dayananda Saraswati.

§æþÄæý*¯èþ…§æþ çÜÆæÿçÜÓ†.

(DICS 1) 2

10. Ramanujacharya.

Æ>Ðèþ*¯èþ$gê^éÆæÿ$Åyæþ$.

11. Development of science under Guptas.

Væü$ç³#¢Ë M>ËÐèþ$$¯ésìý Ô>ç܈ Ñgêq¯éÀÐèþ–¨®.

12. Raja Ram Mohan Roy.

Æ>gê Æ>ÐŒþ$ Ððþ*çßý¯Œþ Æ>ÄŒý$.

13. Non-violence.

Aíßý…ÝëÐé§æþÐèþ$$.

14. Theosophical society.

¨ÐèþÅgêq¯èþ çÜÐèþ*fÐèþ$$.

SECTION C — (12 marks)

Answer ALL questions.

15. Fill up the blanks :

(a) The earlier name of Jaina sect was ——————.

gñýO¯èþÐèþ$™èþÐèþ$$ ç³NÆæÿÓ ¯éÐèþ$Ðèþ$$ ——————.

(b) The military Campaigns of Samudragupta are mentioned in ——————.

çÜÐèþ$$§æþVæü$ç³#¢° òÜO°Mæü ÑfÄæý*˯èþ$ —————— ÌZ ç³Ýë¢Ñ…^èþºyìþ…¨.

(c) Brahma Samaj was started by ——————.

ºçßýà çÜÐèþ*fÐèþ$$¯èþ$ ´ëÆæÿ…À…_¯èþ¨ ——————.

(d) ‘‘Quit India’’ Movement was started in ——————.

MìüÓsŒý C…yìþÄæý* E§æþÅÐèþ$Ðèþ$$¯èþ$ —————— ÌZ ´ëÆæÿ…À…_Ç.

16. Choose the correct answer :

(a) The leader of Svetambara Jainas was

(i) Sthula Bhadra (ii) Parsvanatha

(iii) Mahavira (iv) None of these

Ôóýә酺Ææÿ gñýO¯èþ$Ë ¯éÄæý$Mæü$yæþ$

(i) çÜ*¦Ë ¿æý§æþ (ii) ´ëÆæÿØüӯ髧æþ$yæþ$

(iii) Ðèþ$àÒÆæÿ$yæþ$ (iv) ÒÆðÿÐèþÆæÿ$ M>§æþ$

(DICS 1) 3

(b) The author of Brihatsamhita was

(i) Aryabhatt (ii) Brahmagupta

(iii) Varahamihira (iv) Susruta

º–çßý™ŒþçÜ…íßý™èþ Ææÿ^èþÆÿ$$™èþ

(i) BÆæÿÅ¿æýr$t (ii) ºçßýÃVæü$ç³¢

(iii) ÐèþÆ>çßýÑ$íßýÆæÿ$yæþ$ (iv) Ôèý$Ôèý$™èþ$yæþ$

(c) In 1875, Dayananda Saraswati started

(i) Arya Samaj (ii) Brahma Samaj

(iii) Home Rule Movement (iv) None of these

1875 çÜ…Ðèþ™èþÞÆæÿÐèþ$$ÌZ §æþÄæý*¯èþ…§æþ çÜÆæÿçÜÓ† ´ëÆæÿ…À…_¯èþ¨

(i) BÆæÿÅ çÜÐèþ*fÐèþ$$ (ii) ºçßýà çÜÐèþ*fÐèþ$$

(iii) çßZ… Ææÿ*ÌŒý E§æþÅÐèþ$Ðèþ$$ (iv) ò³OÐóþÒ M>Ðèþ#

(d) Gandhi-Irwin Pact was published in

V>…«©&CÇÓ¯Œþ Jyæþ…ºyìþMæü¯èþ$ ç³^èþ$Ç…_¯èþ çÜ…Ðèþ™èþÞÆæÿÐèþ$$

(i) 1931 (ii) 1932

(iii) 1930 (iv) 1934

17. Match the following :

A B

(a) Rashtrakutas (i) Kailasanatha temple, Pattadakal

(b) Tulasidas (ii) Allasani Peddana

(c) Uttaramerur (iii) Kailasanatha temple, Ellora

(d) Ramaraya (iv) Pallavas

(v) Ramacharitamanas

(vi) Parantaka

(vii) Battle of Rakshasi-Tangadi

(DICS 1) 4

f™èþç³Ææÿ$^èþ$Ðèþ$$ :

A B

(a) Æ>çÙ‰Mæü*r$Ë$ (i) MðüOÌêçܯé£æþ §óþÐéËÄæý$…, ç³rtyæþMæüÌŒý

(b) ™èþ$ËïܧéçÜ$ (ii) AËÏÝë° ò³§æþª¯èþ

(c) E™èþ¢Æ>Ðóþ$Ææÿ*Ææÿ$ (iii) MðüOËçܯé£æþ §óþÐéËÄæý$…, GÌZÏÆ>

(d) Æ>Ðèþ$Æ>Äæý$Ë$ (iv) ç³ËÏÐèþ#Ë$

(v) Æ>Ðèþ$^èþÇ™èþÐèþ*¯èþ‹Ü

(vi) ç³Æ>…™èþMæü

(vii) Æ>„æüíÜ&™èþ…Væüyìþ Äæý$$§æþ®Ðèþ$$

———————

(DBMAT 11)/(DSMAT 11)

B.A./B.Sc. DEGREE EXAMINATION, JUNE 2010.

(Examination at the end of First Year)

Part II — Mathematics

Paper I — DIFFERENTIAL EQUATIONS, ABSTRACT ALGEBRA AND VECTOR CALCULUS

Time : Three hours Maximum : 100 marks

SECTION A — (8 × 5 = 40 marks)

Answer ALL questions.

1. Solve 0652 =+− pp ¯èþ$ Ý뫨…^èþ…yìþ.

2. Solve yx

dz

xz

dy

zy

dx

−=

−=

− ¯èþ$ Ý뫨…^èþ…yìþ.

3. Solve ( ) xeyDD 42 63 =+− ¯èþ$ Ý뫨…^èþ…yìþ.

4. Solve xydx

dy

dx

yd2sin2

2

2

=−− ¯èþ$ Ý뫨…^èþ…yìþ.

5. Solve ( )21mod1215 =x ¯èþ$ Ý뫨…^èþ…yìþ.

6. Prove that if G is an abelian group, then for all Gba ∈, and for all integers n, ( ) nnnbaba = .

G JMæü G¼ÍÄæý$¯Œþ çÜÐèþ$*çßý… AÆÿ$$™óþ, A°² Gba ∈, ËMæü$, A°² ç³NÆ>~…M>Ë$ n ËMæü$ ( ) nnnbaba = A° °Ææÿ*í³…^èþ…yìþ.

7. If φ is a differentiable scalar point function, then prove that ( ) 0=φgradcurl .

φ JMæü AÐèþMæü˱Äæý$ A¨Ô> ¼…§æþ$ ç³Ðóþ$Äæý$… AÆÿ$$™óþ, ( ) 0=φgradcurl A° ^èþ*ç³…yìþ.

8. If kxjziyF ++= , then evaluate ∫ ⋅C

rdF where C is the circle 122 =+ yx , 0=z .

kxjziyF ++= AÆÿ$$™óþ, C A¯óþ¨ 122 =+ yx , 0=z A¯óþ Ðèþ–™èþ¢… AÆÿ$$¯èþ糚yæþ$, ∫ ⋅C

rdF ¯èþ$ Væü×ý¯èþ…

^óþÄæý$…yìþ.

SECTION B — (4 × 15 = 60 marks)

Answer ALL questions.

Each question carries 15 marks.

9. (a) (i) Solve ( ) ( ) 0422 434 =−+++ dyxyxydxyy .

( ) ( ) 0422 434 =−+++ dyxyxydxyy ¯èþ$ Ý뫨…^èþ…yìþ.

(DBMAT 11)/(DSMAT 11) 2

(ii) Solve ( )21tan2 xppxy −=− .

( )21tan2 xppxy −=− ¯èþ$ Ý뫨…^èþ…yìþ.

Or

(b) (i) Solve ( ) 0sincos1 =++ dyyedxxe yy .

( ) 0sincos1 =++ dyyedxxe yy ¯èþ$ Ý뫨…^èþ…yìþ.

(ii) Solve yx

dz

x

dy

y

dx

32 −=

−= .

yx

dz

x

dy

y

dx

32 −=

−= ¯èþ$ Ý뫨…^èþ…yìþ.

10. (a) (i) Solve ( ) 22 1 xyDD =++ using the method of undetermined coefficients.

( ) 22 1 xyDD =++ ¯èþ$ A°Õa™èþ Væü$×ýM>Ë ç³§æþ®† ¯èþ$ç³Äñý*W…_ Ý뫨…^èþ…yìþ.

(ii) Solve ( ) xeyDD x cos322 =−+ .

( ) xeyDD x cos322 =−+ ¯èþ$ Ý뫨…^èþ…yìþ.

Or

(b) (i) Solve xydx

yd2tan4

2

2

=+ by the method of variation of parameters.

ç³Æ>Ñ$™èþ$Ë Ñ^èþÆæÿ×ý 糧æþ®† §éÓÆ> xydx

yd2tan4

2

2

=+ ¯èþ$ Ý뫨…^èþ…yìþ.

(ii) Solve tyxdt

dx =++ 34 ; teyxdt

dy =++ 52 .

tyxdt

dx =++ 34 ; teyxdt

dy =++ 52 ˯èþ$ Ý뫨…^èþ…yìþ.

11. (a) (i) Prove that every homomorphic image of a group G is isomorphic to some quotient

group of G .

çÜÐèþ$*çßý… G Äñý$$MæüP 糆çÜÐèþ$Ææÿ*ç³™é 糆¼…º…, G Äñý$$MæüP H§ø JMæü Ðèþ#Å™èþµ¯èþ² çÜÐèþ$*à°Mìü ™èþ$ËÅÆæÿ*ç³…

AÐèþ#™èþ$…§æþ° °Ææÿ*í³…^èþ…yìþ.

(ii) Show that the necessary and sufficient condition for a homomorphism of a group G

into a group G′ with Kernel K , to be an isomorphism is that eK = .

MðüÆæÿ²ÌŒý K ™ø çÜÐèþ$*çßý… G ¯èþ$…yìþ G′ Mìü °ÆæÿÓ_…糺yìþ¯èþ çÜÐèþ$Ææÿ*ç³™èþ, G ¯èþ$…yìþ G′ Mìü ™èþ$ËÅÆæÿ*ç³… M>Ðèþyé°Mìü

eK = BÐèþÔèýÅMæü ç³Æ>Åç³¢ °Äæý$Ðèþ$… A° °Ææÿ*í³…^èþ…yìþ.

Or

(DBMAT 11)/(DSMAT 11) 3

(b) (i) State and prove the Cayley’s theorem.

MóüÎ íܧ鮅™é°² ç³Ðèþ_…_, §é°° °Ææÿ*í³…^èþ…yìþ.

(ii) Define a permutation, a cycle and disjoint cycles. Prove that every permutation σ

of a finite set S is a product of disjoint cycles.

JMæü ç³Ýë¢Æ>°², JMæü BÐèþ–†¢°, ÑÄæý$$Mæü¢ BÐèþ–™èþ$¢Ë¯èþ$ °ÆæÿÓ_…^èþ…yìþ. JMæü ç³ÇÑ$™èþ çÜÑ$† S Äñý$$MæüP 糆 ç³Ýë¢Ææÿ… σ ,

ÑÄæý$$Mæü¢ BÐèþ–™èþ$¢Ë ˺ªÐèþ$° °Ææÿ*í³…^èþ…yìþ.

12. (a) (i) Find the directional derivative of zxyzxyf ++= 52 at the point ( )3,2,1 in the

direction of kji 453 +− .

çܨÔèý kji 453 +− ¨ÔèýÌZ ( )3,2,1 ¼…§æþ$Ðèþ# Ðèþ§æþª zxyzxyf ++= 52 Äñý$$MæüP §ðþOÕMæü Ðèþ#Å™èþµ¯èþ²Ðèþ$$¯èþ$

Mæü¯èþ$MøP…yìþ.

(ii) If F is a differentiable vector point function, then prove that

( ) ( ) FFdivgradFcurlcurl 2∇−= .

F JMæü AÐèþMæü˱Äæý$ çܨÔ> ¼…§æþ$ ç³Ðóþ$Äæý$… AÆÿ$$™óþ, ( ) ( ) FFdivgradFcurlcurl 2∇−= A°

°Ææÿ*í³…^èþ…yìþ.

Or

(b) (i) State and prove the Stokes theorem.

ÝùtMŠüÞ íܧ鮅™é°² ç³Ðèþ_…_, §é°° °Ææÿ*í³…^èþ…yìþ.

(ii) Verify Gauss divergence theorem for the function kzjxiyF 2++=r

over the

cylindrical region bounded by 922 =+ yx , 0=z and 2=z .

922 =+ yx , 0=z Ðèþ$ÇÄæý$$ 2=z ^óþ ç³Çº§æþ®Ððþ$O¯èþ çÜ*¦´ëM>Ææÿ 糧óþÔèý…ò³O kzjxiyF 2++=r

ç³Ðóþ$Äæý*°Mìü Vú‹Ü Aç³çÜÆæÿ×ý íܧ鮅™é°² çÜÇ^èþ*yæþ…yìþ.

————————

(DSPHY 11)

B.Sc. DEGREE EXAMINATION, JUNE 2010.

(Examination at the end of First Year)

Part II — Physics

Paper I — MECHANICS, WAVES AND OSCILLATIONS

Time : Three hours Maximum : 100 marks

PART A — (2 × 15 = 30 marks)

Answer any TWO of the following.

1. State and prove Gauss divergence theorem.

V>‹Ü Aç³çÜÆæÿ×ý íܧ鮅™èþÐèþ$$¯èþ$ ÐéíÜ °Ææÿ*í³…ç³#Ðèþ$$.

2. Define the terms impact parameter and scattering cross-section. Obtain an expression for

Rutherford’s scattering cross-section.

AÀçœ*™èþ ç³Æ>Ñ$† Ðèþ$ÇÄæý$$ AÀçœ*™èþ Ðèþ$«§æþÅ^óþe§æþÐèþ$$˯èþ$ °ÆæÿÓ_…^èþ$Ðèþ$$. Ææÿ*£æþÆŠÿ çœÆŠÿz AÀçœ*™èþ Ðèþ$«§æþÅ^óþe§æþÐèþ$$¯èþMæü$

çÜÒ$MæüÆæÿ×ýÐèþ$$¯èþ$ E™éµ¨…ç³#Ðèþ$$.

3. Explain the classification of beams and loads define bending moment and obtain expression

for it.

§æþ…yæþÐèþ$$Ë$ Ðèþ$ÇÄæý$$ ¿êÆæÿÐèþ$$Ë ÐèþÈYMæüÆæÿ×ýÐèþ$$¯èþ$ ÑÐèþÇ…ç³#Ðèþ$$. Ðèþ…ç³# ¿êÐèþ$MæüÐèþ$$ A¯èþV>¯óþÑ$? §é°Mìü çÜÐèþ*çÜÐèþ$$¯èþ$ Æ>ºr$tÐèþ$$.

4. Derive Lorentz transformation equations from the special theory of relativity.

ç³™óþÅMæü Ýëõ³„æü íܧ鮅™èþÐèþ$$ ¯èþ$…yìþ ÌêÆðÿ…sŒýj Ææÿ*´ë…™èþÈMæüÆæÿ×ý çÜÒ$MæüÆæÿ×ýÐèþ$$˯èþ$ Æ>ºr$tÐèþ$$.

PART B — (2 × 15 = 30 marks)

Answer any TWO of the following.

5. Define simple Harmonic motion. Write and solve differential equation of simple harmonic

motion.

çÜÆæÿâæý çßýÆ>™èþÃMæü ^èþ˯èþÐèþ$$¯èþ$ °ÆæÿÓ_…ç³#Ðèþ$$. çÜÆæÿâæý çßýÆ>™èþÃMæü ^èþ˯èþÐèþ$$¯èþMæü$ AÐèþMæü˯èþ çÜÒ$MæüÆæÿ×ýÐèþ$$¯èþ$ ÐéíÜ Ý뫨…^èþ$Ðèþ$$.

6. Derive and solve the differential equation of damped harmonic oscillations.

AÐèþÆæÿ$§æþ® yø˯éËMæü$ AÐèþMæü˯èþ çÜÒ$MæüÆæÿ×ýÐèþ$$¯èþ$ Æ>ºsìýt Ý뫨…^èþ$Ðèþ$$.

7. State the laws of transverse vibrations of stretched strings. Derive the equation for the

velocity of transverse wave along a stretched string.

ÝëVæü©íܯèþ ¡VæüË †ÆæÿÅMŠü Mæü…糯èþ çÜ*™é˯èþ$ ÐéÄæý$$Ðèþ$$. ÝëVæü©íܯèþ ¡VæüÌZ †ÆæÿÅMŠü ™èþÆæÿ…Væü ÐóþVæüÐèþ$$¯èþMæü$ çÜÒ$MæüÆæÿ×ýÐèþ$$¯èþ$ E™éµ¨…ç³#Ðèþ$$.

8. What are ultrasonics? Describe the piezoelectric method to produce ultrasonics.

A†«§æþÓ¯èþ$Ë$ A…sôý HÑ$sìý? ï³yæþ¯èþ ѧæþ$Å™Œþ 糧æþ®† ¯èþ$ç³Äñý*W…_ A†«§æþÓ¯èþ$ËMæü$ E™èþµ†¢^óþÄæý$$, Ñ«§æþÐèþ$$¯èþ$ ÑÐèþÇ…ç³#Ðèþ$$.

(DSPHY 11) 2

PART C — (5 × 4 = 20 marks)

Answer any FIVE of the following.

9. Define line, volume and surface integrals.

ÆóÿTÄæý$, çœ$¯èþç³ÇÐèþ*×ý Ðèþ$ÇÄæý$$ Eç³Ç™èþË çÜÐèþ*Mæü˰˯èþ$ °ÆæÿÓ_…^èþ$Ðèþ$$.

10. Write a note on multistage rocket.

A…^ðþË Æ>MðüsŒýò³O JMæü ÐéÅQÅ ÐéÄæý$$Ðèþ$$.

11. Explain the working of a gyroscope.

¿æýÐèþ$×ý §æþÇØ° ç³°^óþÄæý$$ Ñ«§é¯èþÐèþ$$¯èþ$ ÑÐèþÇ…^èþ$Ðèþ$$.

12. Derive Einstein’s mass-energy equation.

§æþÐèþÅÆ>Õ&ÔèýMæü$¢Ë Ðèþ$«§æþÅVæüË çÜ…º…«§æþÐèþ$$¯èþ$ Æ>ºr$tÐèþ$$.

13. Write the physical characteristics of simple harmonic motion.

çÜÆæÿâæýçßýÆ>™èþÃMæü ^èþ˯èþ… Äñý$$MæüP ¿o†Mæü Ë„æü×ýÐèþ$$˯èþ$ ÐéÄæý$$Ðèþ$$.

14. Write a note on amplitude resonance.

Mæü…糯èþ ç³ÇÑ$† A¯èþ$¯é§æþÐèþ$$ò³O JMæü ÐéÅQÅ ÐéÄæý$$Ðèþ$$.

15. What are coupled oscillations and give two examples?

Äæý$$WÙèþ yøËM>Ë$ A…sôý HÑ$sìý? Æðÿ…yæþ$ E§éçßýÆæÿ×ý ÍÐèþÓ…yìþ.

16. Write the applications of ultrasonics.

A†«§æþÓ¯èþ$Ë A¯èþ$ÐèþÆæÿ¢¯éË$¯èþ$ ÐéÄæý$$Ðèþ$$.

PART D — (4 × 5 = 20 marks)

Answer any FOUR of the following.

17. Using stokes theorem prove that ∫ =⋅C

dlr 0 , r is a position vector.

ÝùtMŠü íܧ鮅™èþÐèþ$$¯èþ$ Eç³Äñý*W…_ ∫ =⋅C

dlr 0 A° ^èþ*ç³…yìþ. r A¯èþ$¯èþ¨ Ý릯èþçܨÔèý.

18. A rocket burns 0.02 kg fuel per second ejecting it as a gas with a velocity of 10000 m/sec.

What force does the gas exert on the rocket?

JMæü Æ>MðüsŒýÌZ 0.02 kg §æþÐèþÅÆ>Õ VæüË C…«§æþ¯èþÐèþ$$ òÜMæü¯èþ$Mæü$ Ðèþ$…yæþ$™èþ$…¨. §é° Ðèþ˯èþ 10,000 m/sec ÐóþVæü…™ø ÐéÄæý$$Ðèþ#¯èþ$

Ñyæþ$§æþË ^óþçÜ$¢…¨. Ñyæþ$§æþË AÆÿ$$¯èþ ÐéÄæý$$Ðèþ# Æ>MðüsŒ ò³O G…™èþ ºË…¯èþ$ MæüË$Væü^óþçÜ$¢…¨.

(DSPHY 11) 3

19. Calculate Poisson’s ratio for silver. Given its Young’s modulus = 210N/m1025.7 × and

Bulk modulus = 210 N/m1011 × .

íÜËÓÆŠÿ Äñý$$MæüP ´ëÆÿ$$gꯌþ °çÙµ†¢° ÌñýMìüP…^èþ$Ðèþ$$. C_a¯èþ §æþ™é¢…ÔèýÐèþ$$ Äæý$…VŠü Væü$×ýMæüÐèþ$$ = 210N/m1025.7 × Ðèþ$ÇÄæý$$ AÄæý$$™èþ

Væü$×ýMæüÐèþ$$ = 210 N/m1011 × .

20. Find the speed that a proton must be given if its mass is to be twice of its rest mass of

kg1067.1 27−× . What energy must be given to a proton to achieve the speed?

ÑÆ>Ðèþ$ §æþÐèþÅ…ÌZ kg1067.1 27−× Mìü Æðÿsìýt…ç³# §æþÐèþÅÆ>Õ MæüÍW¯èþ ´ùsꯌþ Äñý$$MæüP ÐóþVæüÐèþ$$¯èþ$ Mæü¯èþ$Vö¯èþ$Ðèþ$$. D ÐóþV>°² ´÷…§æþ$rMæü$

´ùsꯌþMæü$ CÐèþÓÐèþËíܯèþ ÔèýMìü¢° Mæü¯èþ$Vö¯èþ$Ðèþ$$.

21. The amplitude of seconds pendulum falls to half initial value in 150 sec. Calculate the

Q-factor.

JMæü òÜMæü¯èþÏ ÌZËMæü… Mæü…糯èþ ç³ÇÑ$† 150 sec ÌZ çÜVæüÐèþ$$ ÑË$ÐèþMæü$ ç³yìþ´ù™óþ §é° Væü$×ýM>ÆæÿMæüÐèþ$$ G…™èþ?

22. What function of total energy is kinetic and what fraction is potential when the displacement

is one-third of amplitude?

Ý릯èþ¿æý…ÔèýÐèþ$$ A¯èþ$¯èþ¨ 1/3 Mæü…糯èþ ç³ÇÑ$† AÆÿ$$¯èþ Ððþ$$™èþ¢… ÔèýMìü¢ÌZ Væü†fÔèýMìü¢ Ðèþ$ÇÄæý$$ íܦ†fÔèýMæü$¢Ë ¿êV>˯èþ$ Mæü¯èþ$Vö¯èþ$Ðèþ$$.

23. A string of length 0.5 m and linear density 0.0001 kg/m kept under a tension of 1 N. Find the

first three overtones of the string when it is plucked at its mid-point.

0.5 m ´÷yæþÐèþ# 0.0001 kg/m ÆóÿTÄæý$ Ýë…§æþ™èþ MæüÍW¯èþ ¡Væü¯èþ$ 1 N ™èþ¯èþÅ™èþÌZ E¯èþ²¨. ¡Væü¯èþ$ Ðèþ$«§æþż…§æþ$Ðèþ# Ðèþ§æþª Ò$sìý¯èþ ¡Væü

Äñý$$MæüP Ððþ$$§æþsìý Ðèþ$*yæþ$ A¯èþ$ çÜÓÆ>˯èþ$ Mæü¯èþ$Vö¯èþ$Ðèþ$$.

24. A piezo-electric crystal with vibrating length m103 3−× has density 33 kg/m105.3 × . If it is

made of material of Young’s modulus 210 N/m108 × , what is its fundamental frequency?

m103 3−× ´÷yæþÐèþ#, 33 kg/m105.2 × Ýë…§æþ™èþ MæüÍW¯èþ çܹsìýMæüÐèþ$$ ï³yæþ¯èþ&ѧæþ$Å™Œþ çœÍ™èþ…Ðèþ˯èþ Mæü…í³çÜ$¢…¨. çܹsìýMæü 糧éÆæÿ¦Ðèþ$$

Äæý$…VŠü Væü$×ýMæüÐèþ$$ 210 N/m108 × AÆÿ$$¯èþ §é° ´ë£æþÑ$Mæü ´û¯èþ@ç³#¯èþÅÐèþ$$ G…™èþ?

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(DSEL 11)

B.Sc. DEGREE EXAMINATION, JUNE 2010.

(Examination at the end of First Year)

Part II — Electronics

Paper I — LINEAR COMPONENTS AND CIRCUIT ANALYSIS

Time : Three hours Maximum : 100 marks

Answer any FIVE questions.

All questions carry equal marks.

1. (a) Define root mean square value of current and average valve of current and derive

expressions for them.

MæüÆðÿ…sŒý r.m.s. ÑË$Ðèþ Ðèþ$ÇÄæý$$ çÜÆ>çÜÇ ÑË$Ðèþ˯èþ$ °ÆæÿÓ_…_ çÜÒ$MæüÆæÿ×ýÐèþ$$ Æ>ºr$tÐèþ$$.

(b) Define Ohms Law. What are the limitations of it? Explain different types of resistors.

KÐŒþ$ °Äæý$Ðèþ$Ðèþ$$ °ÆæÿÓ_…_, AÐèþ«§æþ$Ë$ (limitations) ™ðþË$ç³#Ðèþ$$. ÑÑ«§æþ ÆæÿMæüÐèþ$$Ë °Æø«§æþMæüÐèþ$$Ë$ Væü$Ç…_ ÐéÄæý$$Ðèþ$$.

2. (a) Show that the energy stored in an Inductor is 2LI2

1,

C…yæþMæütÆŠ ÿ(Inductor) ÌZ °Ë$Ðèþ Äæý$$¯èþ² ÔèýMìü¢ 2LI2

1 A° °Ææÿ*í³…ç³#Ðèþ$$.

(b) Show that there is a phase difference of 2

π radian between current and voltage in a

pure capacitor.

Ôèý$§æþª Mðü´ëíÜrÆŠÿ ¯èþ…§æþ$ MæüÆðÿ…r$ Ðèþ$ÇÄæý$$ ÐøÌôýtgŒýË §æþÔ> ¿ôý§æþÐèþ$$ (phase difference) 2

π ÆóÿyìþÄæý$¯èþ$Ï A° °Ææÿ*í³…ç³#Ðèþ$$.

3. (a) State and prove Thevenin theorem.

Thevenin íܧ鮅™èþÐèþ$$ ™ðþÍí³, °Ææÿ*í³…^èþ$Ðèþ$$.

(b) State and prove Maximum power transfer theorem.

Ðèþ*MìüÞÐèþ$ÐŒþ$ ç³ÐèþÆŠÿ sꯌþÞçœÆŠÿ íܧ鮅™èþÐèþ$$ ™ðþÍí³ °Ææÿ*í³…^èþ$Ðèþ$$.

4. (a) State and explain Kirchoff Laws.

MìüÆ>P‹³ °Äæý$Ðèþ$Ðèþ$$Ë$ ™ðþÍí³ ÑÔèý©MæüÇ…^èþ$Ðèþ$$.

(b) Distinguish linear and non linear networks.

ΰÄæý$ÆŠÿ Ðèþ$ÇÄæý$$ ¯é¯ŒþΰÄæý$ÆŠÿ ¯ðþsŒýÐèþÆŠÿP‹Ü çÜÇ´ùË$aÐèþ$$.

(DSEL 11) 2

5. (a) Discuss the transient response of RC circuits.

RC ÐèþËÄæý$Ðèþ$$Ë sê°ÞÄæý$…sŒý ÆðÿÝ뵯ŒþÞ ÑÐèþÇ…ç³#Ðèþ$$.

(b) Draw the circuit diagrams for differentiator and integrator.

yìþç³Æðÿ°ÞÄôý$rÆŠÿ Ðèþ$ÇÄæý$$ C…sìýVóürÆŠÿ ÐèþËÄæý$Ðèþ$$Ë$ ÐéÄæý$$Ðèþ$$.

6. (a) Derive an expression for the resonance frequency and bandwidth of a LCR series

resonant circuit.

LCR ïÜÈ‹Ü ÆðÿgŸ¯ðþ…sŒý ÐèþËÄæý$Ðèþ$$¯èþMæü$ ´û¯èþ@ç³#¯èþÅ… (frequency) Ðèþ$ÇÄæý$$ »ê…yŠþÑyŠþ¢ (bandwidth) ËMæü$

çÜÒ$MæüÆæÿ×ýÐèþ$$ Æ>ºr$tÐèþ$$.

(b) Distinguish series and parallel resonant circuits.

Ôóý×ìý Ðèþ$ÇÄæý$$ çÜÐèþ*…™èþÆæÿ A¯èþ$¯é§æþ ÐèþËÄæý$Ðèþ$$˯èþ$ çÜÇ´ùË$aÐèþ$$.

7. (a) Draw the block diagram of CRO.

CRO »êÏMŠü yæþÄæý*VæüÐèþ$$ XÄæý$$Ðèþ$$.

(b) Describe the function of various parts of a cathode ray tube.

Mðü£øyŠþ Æóÿ r*Å»Œý ç³°^óþÄæý$$ Ñ«§é¯èþÐèþ$$ ÑÔèý©MæüÇ…ç³#Ðèþ$$.

8. (a) What is the principle of working of an AC Bridge?

AC ¼yŠþj ç³°^óþÄæý$$ Ñ«§é¯èþÐèþ$$ (°Äæý$Ðèþ$Ðèþ$$) ™ðþË$ç³#Ðèþ$$.

(b) Explain the working of De-santy bridge with neat circuit.

De-santy ¼yìþj ÐèþËÄæý$ ç³rÐèþ$$ XíÜ ç³°^óþÄæý$$ Ñ«§é¯èþÐèþ$$ ÐèþÇ~…ç³#Ðèþ$$.

9. (a) Explain single port and two port networks.

single port Ðèþ$ÇÄæý$$ two port networks ÑÔèý©MæüÇ…ç³#Ðèþ$$.

(b) Explain the term impedance in an electrical network.

GËMìütMæüÌŒý ÐèþËÄæý$Ðèþ$$¯èþ…§æþ$ C…í³yðþ¯ŒþÞ ÑÔèý©MæüÇ…^èþ$Ðèþ$$.

(DSEL 11) 3

10. (a) A series RLC circuit has Ω= 5R , mH40L = and F1C µ= . Calculate the resonant

frequency.

Ôóý×ìý RLC ÐèþËÄæý$Ðèþ$$ÌZ Ω= 5R , mH40L = , F1C µ= . A¯èþ$¯é§æþ ´û¯èþ@ç³#×ýÅ… ÌñýMìüP…ç³#Ðèþ$$.

(b) The resistance of a conductor at 20° C is 3.15 Ω and at 100° C 3.75 Ω . Calculate the

temperature coefficient ( )α of resistance.

20° C Ðèþ§æþª °Æø§æþMæüÐèþ$$ 3.15 Ω Ðèþ$ÇÄæý$$ 100° C Ðèþ§æþª 3.75 Ω EÚù~Væü™é ÝëÐèþ$Ææÿ¦ÅÐèþ$$¯èþ$ ( )α ÌñýMìüP…^èþ$Ðèþ$$.

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