Madhaya Pradesh Bhoj Open University.Bhopal B.Sc IIND YEAR Subject : Zoology

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1 Madhaya Pradesh Bhoj Open University.Bhopal B.Sc IIND YEAR Subject : Zoology MaximumMarks: funsz k& 1& lhkh iz'u Lo;a dh glrfyfi esa gy djuk vfuok;z gsa 2& nksuksa l=h; iz'u i= fo ofo ky; }kjk iznk; l=h; mrrj iqflrdkvksa esa gy djuk vfuok;z gsa 3& l=h; dk;z tek djus dh vafre frffk 30 ebz 2015 gsa 4& l=h; dk;z mrrj iqflrdkvksa dks tek djus dh jlhn vo'; izkir dj ysaa Assignment Question Paper I uksv % izr;sd iz'u ds fy, fu/kkzfjr vad 06 gsaa bl [k.m ds izr;sd iz'u dk mrrj yxhkx 600 'kcnksa esa nhft,a. iz'u 1 izksvhu ds izdkj,oa mlds tsfod egroksa dh foospuk dhft,a Describe the kinds and biological significance of Protein. iz'u2- dkwmszvk ds la?kksa vyx&vyx es a ik;s tkus okys fofhkuu 'olu vaxksa dk folr`r o.kzu dhft,a Describe different types of organs of respiration in different phylum of Chordata. iz'u 3 is kh; ladqpu dh dkf;zdh dk o.kzu dhft,a Describe the physiology of muscle contraction. iz'u 4 ijklj.k fu;eu ij fucu/k fyf[k,a Write an essay on Osmoregulation. iz'u 5 vkwisjkwu ekwmy dh laf{kir esa O;k[;k dhft,a Explain operon model in brief. iz'u 6 dksf kdknzo;h oa kkxfr ls vki D;k le>rs gsa\ isjkehf k;e dk mnkgj.k nsdj le>kb,a What do you understand by Cytoplasmic inheritance? Discuss with example of Paramaecium. iz'u 7 gheksfqfy;k dks la{ksi es a le>kb;sa Explain in brief Haemophilia. iz'u 8 ^^bum~;wlm fqv er**,utkbe dh fø;kfof/k dks le>kb;sa Explain Induced Fit Hypothesis of Enzyme activity. iz'u 9- mrifjorzuksa ds fofhkuu izdkjksa dk fooj.k nhft,a Describe various kinds of Mutations. iz'u 10- vkwfuzffku pø dks le>kb;sa Explain ornithine Cycle. iz'u11- E;wVktsfud,tsUV~l D;k gsa\ What is Mutagenic agents. iz'u12- la{ksi es a lgyxurk dks le>kb;sa Explain Linkage in brief.

2 Assignment Question Paper II. iz'u1- vuqokaf'kdh dwv ij,d fucu/k fyf[k;sa Write an essay on Genetic code. iz'u 2 fofhkuurk,wa fdls dgrs gsa\ fofhkuurkvksa ds dkj.k,oa izdkjksa dk o.kzu dhft,a What is Variation? Describe the types and causes of variation. iz'u 3- Mh-,u-,- fqaxj fizfvax ij laf{kir fvii.kh fyf[k,a Write a short note on DNA Finger Printing. iz'u 4,Mªhuy xz affk dks le>kb;sa Explain Adrenal gland. iz'u 5- Lru/kkjh esa iztuu dh dkf;zdh dks le>kb;sa A Describe the Physiology of reproduction in mammals. iz'u 6 thu FkSfjih ij,d fucu/k fyf[k,a Write an essay on gene therapy. iz'u 7 rfu=dk vkosx lapj.k dh dkf;zdh dk o.kzu dhft,a Describe the physiology of nerve impulse conduction iz'u 8 Lrfu;ksa esa ikpu dh dkf;zdh dk o.kzu dhft,a Describe the physiology of digestion in Mammals. iz'u 9 tqm+okwa fdls dgrs gsa \ fofhkuu izdkj ds tqm+oka dk o.kzu dhft, rfkk budk vkuqoaf kdh esa D;k egro gs\ What is twins? Describe various types of Twins and its importance in Genetics. iz'u 10 ekbdksjkbtk D;k gs\ ;g fdrus izdkj ds gksrs gsa? budk D;k egro gs? What are Mycorrhize? What are their types? What are their importance s? iz'u11- ckby dk laxbu,oa dk;z ij laf{kir fvii.kh fyf[k,a Write short note on composition and function of bile. iz'u12- Xykbdksfyfll dk Øec) vkjs[k cukb;sa Made a Flowchart of Glycolysis.

3 Madhaya Pradesh Bhoj Open University.Bhopal B.Sc IIND YEAR Subject : Botany MaximumMarks: funsz k& 1& lhkh iz'u Lo;a dh glrfyfi esa gy djuk vfuok;z gsa 2& nksuksa l=h; iz'u i= fo ofo ky; }kjk iznk; l=h; mrrj iqflrdkvksa esa gy djuk vfuok;z gsa 3& l=h; dk;z tek djus dh vafre frffk 30 ebz 2015 gsa 4& l=h; dk;z mrrj iqflrdkvksa dks tek djus dh jlhn vo'; izkir dj ysaa Assignment Question Paper I. iz u2- Ukkekafadr fp=ksa dh lgk;rk ls vko`rchft;ksa esa Hkzw.k ds fodkl dk o.kzu dhft;sa A Describe the development of embryo in Angiosperms with the help of labeled diagram. iz'u 2 iks,lh dqy dk lfp= fooj.k nhft;s A Describe in detail the family Poaceae with the help of diagram. iz u 3-,ukVªkWil chtk.kq dh lajpuk ij Lakf{kIr fvii.kh fyf[k;sa Write short note on Structure of Anatropus ovule iz u 4- izk:ihd.k ls vki D;k le>rs gsa\ What do you understand by Typification. iz'u 5 csafke,oa gqdj ds oxhzdj.k dk laf{kir o.kzu dhft;sa A Describe in brief Bentham and Hooker s classification. iz'u 6 ikbul uhm+y ¼iRrh ½ dk lfp= o.kzu dhft;saa Describe Pinus Needle (leaf) with the help of diagram iz'u 7 ;wqksjch,lh dqy ds lkeku; y{k.k,oa iq"ik fp= dk o.kzu dhft;s A Describe general characteristics and flotal diagram of Euphorbiaceae family. iz'u 8 fteuksliez ¼vuko`Rrchft;ksa ½ ds lkeku; y{k.kksa dk o.kzu dhft;saa Describe general characteristics of Gymnosperms. iz'u 9 vko`rrchft;ksa esa çk:i vo/kkj.kk,oa çkfkfedrk fl)kur dk o.kzu dhft;s A Describe type concept and principle of priority in Angiosperms. iz'u 10 tho ehdj.k dh çfø;k dks le>kb;s rfkk fdlh,d vuko`rrchth thok e ij laf{kir fvii.kh fyf[k,a Describe fossilization and write a short note on any one fossil gymnosperm. iz u12- 'kkar dsunz ij laf{kir fvii.kh fyf[k,a Write a short note on Quiescent centre. iz'u 11 bqhmªk ds rus dh vkurfjd lajpuk dk o.kzu dhft;s \ Describe internal structure of Ephedra stem.

4 Assignment Question Paper II. iz'u 1 kh"kzlfk fohkt;ksrd dh lajpuk dks fofhkuu oknksa ds vk/kkj ij le>kb;s A Describe structure of Apical meristem by different theories. iz'u 2 Qscslh dqy ds midqyksa dk rqyukred o.kzu dhft,a Give a comparative description of sub families of Fabaceae family. iz'u 3 ijkx.k ds fofhkuu çdkjksa dks mnkgj.k lfgr le>kb;sa A Describe different types of Pollination with examples. iz'u 4,/kk D;k gs \,/kk ds dk;ksza dk o.kzu dhft;s A What is Cambium? Describe function of Cambium. iz'u 5 dn~nw ¼dqôqjfcFk½ ds cky rus dh lajpuk ds ukekafdr fp=ksa dks le>kb;sa Explain Labeled diagram of young stem of Cucurbita? iz'u 6 i.kzfou;kl ls vkidk D;k rkri;z gs\ fofhkuu izdkj ds i.kzfou;kl dk myys[k djsaa What do you mean by Phyllotaxy? Explain various kinds of Phyllotaxy? iz'u 7 izk:ihd vko`rchth chtkam dh lajpuk le>k,a rfkk chtkam+ksa ds izdkj dk fooj.k dhft;sa Describe one structure of one Angiospermic ovule and describe various kinds of ovules? iz'u 8- fteuksliekz esa cht dh izd`fr dk mnxe~ ij laf{kir fvii.kh fyf[k,a Write short note on Origin of seed habit in Gymnosperms iz'u 9- lkb,ffk;e iq"iøe ij laf{kir fvii.kh fyf[k,a Write short note on Cyathium Inflorescence. iz'u 10- ijkx&l=h dslj dh ikjlifjd fø;k dks lfp= le>kb;sa Explain Pollen pistil Interaction with diagram. iz'u 11 f}fu"kspu dh çfø;k dks le>kb;s A Describe the process of Double fertilization. iz'u 12- y?kqchtk.kqtuu fdls dgrs gs\ What is Microsporogenesis?

5 Madhaya Pradesh Bhoj Open University.Bhopal B.Sc IIND YEAR Subject : Physics MaximumMarks: funsz k& 1& lhkh iz'u Lo;a dh glrfyfi esa gy djuk vfuok;z gsa 2& nksuksa l=h; iz'u i= fo ofo ky; }kjk iznk; l=h; mrrj iqflrdkvksa esa gy djuk vfuok;z gsa 3& l=h; dk;z tek djus dh vafre frffk 30 ebz 2015 gsa 4& l=h; dk;z mrrj iqflrdkvksa dks tek djus dh jlhn vo'; izkir dj ysaa Assignment Question Paper I. iz'u 1 fl) djks fd ;fn h dk eku 'kwu; gksrk rks Iykad nksfy= dh vkslr ÅtkZ ] fpjleer nksfy= dh vkslr ÅtkZ dh HkkWfr vko`fr ij fuhkzj ugha djrh A Prove that if value of h is zero than average energy of plank oscillator is not depend on frequency simillan to average energy of classical oscillator. iz'u 2 vkn kz xsl ds xfrd fl)kar ds ewy vfhkx`ghr fyf[k, vksj mldks iz;ksx djds vkn kz xsl ds v.kqvksa dh oxzek/; ewy pky,oa nkc ds O;atdksa dks fuxfer dhft,a Write down the basic postulates of kinetic theory of an ideal gas and use it to deduce expressions for the pressure of an ideal gas and r.m.s. speed of molocucles. iz'u 3- /ofu dh rhorzk rfkk izcyrk esa varj Li"V djsa A Give the difference in intensity and loudness of sound. iz'u 4- izdk'k ds O;frdj.k,oa foozru esa varj Li"V dhft, A Give the difference in interference and diffraction. iz'u 5- lk/kkj.k fdj.kksa ls yslj fdj.kksa dh fhkuurk crkb;sa How is laser radiation different from the ordinary light? iz'u 6 -xslksa esa vfhkxeu?kvuk, D;k gs\ What are the transport phenomenon in gases? iz'u 7 v.kqxfr fl)kar ds vk/kkj ij fdlh xsl ds Å"eh; pkydrk xq.kakd dk O;atd ÁkIr djks A Obtain cofficient of thermal cunductivity of any gas on the basic of molecular theory. iz'u 8 ekbdylu O;frdj.kekih dh lajpuk,oa dk;zfof/k le>kb,a bls o`rrkdkj fqzutsa izkir djus ds fy, fdl izdkj leaftr fd;k tkrk gs\ bldh lgk;rk ls nks yxhkx cjkcj rjaxns/;ksa Z esa vurj dsls Kkr djsaxs\ Explain the construction and working of a Michelson interferometer. How is the nterferometer adjusted to obtain circular fringes? How the difference in wavelength can be determined with its use? iz'u 9 tksu IysV D;k gs\ ;g fdl izdkj cukbz tkrh gs\ fl) djks fd tksu IysV,d mrry ysul dh Hkkafr O;ogkj djrh gsa bldh Qksdl nwjh dk lw= fuxfer dhft,a What is a zone plate? How is it constructed? Show that a zone plate behaves like a convex lens. Deduce the expression for its focal length. iz'u 10 ije ekxz dh lajpuk,oa blds izfriknu dk o.kzu dhft,a ekuo d.kz dh JO;rk dh lhekvksa dh foospuk dhft,a Describe the construction and response of human ear. Discuss the limits of audibility of human ear.

6 iz'u 11-ÅtkZ ds lefohkktu fu;e ls vki D;k le>rs gs\ What do you understand the low of equipartition of energy. iz'u 12 bysdvªku ds pdz.k ls D;k vfhkizk; gs\ What is meant by the spin of electron? Assignment Question Paper II. iz'u 1 twy dsfyou izhkko dk Å"ekxfrd fo'ys"k.k dks le>kb;sa Explain thermodynamic analysis of Joule Kelvin effect. iz'u 2 Å"eh; lurqyu ls D;k vfhkizk; gs\ Å"ekxfrdh dk 'kwu;okwa fu;e crkb, rfkk blds vk/kkj ij rki dh vfhk/kkj.kk le>kb,a What do you mean by a thermal equilibrium? State the zeroeth law of thermodynamics and on this basis explain the concept of temperature. iz'u 3 jeu izhkko D;k gs\ jeu js[kkvksa dh fo ks"krk,sa fyf[k,a jeu izhkko dh izdk k ds Dok.Ve fl)kar }kjk xq.kkred O;k[;k dhft,a What is Raman effect and what are the characteristics of Raman lines? Explain Raman Effect qualitatively by the quantum theory of light. iz'u 4 dkuksz ds vkn kz batu dh dk;zfof/k dk o.kzu P-V vkjs[k [khapdj dhft, rfkk bldh n{krk dk ifjdyu dhft,a bls O;ogkj esa D;ksa ugha izkir fd;k tk ldrk gs? Discuss the working of Carnot s ideal engine of P-V diagram and deduce an expression for its efficiency. Why it is not possible in practice? iz'u 5 ok.mjoky volfkk lehdj.k O;qRiUu dhft,a bl lehdj.k esa D;k&D;k dfe;kwa gsa\ Derive Vander-waal s equation of state. Give its shortcomings. iz'u 6 Lor% mrltzu rfkk míhfir mrltzu esa vurj Li"V dhft,a Differentiate between spontaneous emission and stimulated emission iz'u 7- ck;y ds fu;e dks le>kb;s A Explain Boyle's law. iz'u 8 lksukj ru= dk fl)kar crkb;sa Give the principle of a Sonar system. iz'u 9- lkaf[;dh dh ifjdyiuk;sa D;k gs\ crkb;sa What are statistical postulates. Explain. iz'u 10 v{kh; o.kz folfkkiu fdls dgrs gsa fdlh ysal ds fy, v{kh; o.kz foifku dk lw= LFkkfir djksa A What is axial cromatic aberration? Derive the formula of axial cromatic aberration for any lens.) iz'u 11 VªkUlM~;wlj fdls dgrs gsa\ What is a transducer? iz'u12 -oklrfod xsl fdls dgrs gs What is Real gas.

7 Madhaya Pradesh Bhoj Open University.Bhopal B.Sc IIND YEAR Subject : Chemistry funsz k& 1& lhkh iz'u Lo;a dh glrfyfi esa gy djuk vfuok;z gsa 2& nksuksa l=h; iz'u i= fo ofo ky; }kjk iznk; l=h; mrrj iqflrdkvksa esa gy djuk vfuok;z gsa 3& l=h; dk;z tek djus dh vafre frffk 30 ebz 2015 gsa 4& l=h; dk;z mrrj iqflrdkvksa dks tek djus dh jlhn vo'; izkir dj ysaa Assignment Question Paper I MaximumMarks:30. iz'u1- vfhkxeukad D;k gs\ vilkeku; vfhkxeukad ls vki D;k le>rs gs+\ /kuk;u,oa _.kk;u ds vfhkxeukad fu/kkzj.k esa py lhek fof/k dks le>kb;sa What is transport number? What do you mean by abnormal transport numbers? Describe moving boundary method for the determination of the transport number of Cations and Anions? iz'u 2 lkuærk lsy D;k gs\ ;s fdrus çdkj ds gksrs gs\ vfhkxeu jfgr lkuærk lsy ds fo- ok- cy ds fy, O;atd Kkr dhft, A What is the concentration cell\ how many types of concentration cell are these\ Find derivation for the emf of a concentration cell without transference. iz'u 3- fdlh xsl ds lerkih mrøe.kh; izlkj dk;z ds fy, lehdj.k O;qRiUu djks\ Derive equation for Isothermal reversible expansion of a gas? iz'u 4- ysufksukbmksa ds pqecdh; xq.k] laøe.k /kkrqvksa ls fdl izdkj fhkuu gs\ le>kb;sa How do magnetic properties of Lanthanides differ from those of transition metals? Explain. iz'u 5- fueufyf[kr ij fvii.kh fy[kksa& 1- ifdzu vfhkfø;k 2- cs;j fofyxj vkwdlhdj.k Write a short note on the following - 1. Perkin reaction 2. Bayer- Villiger Oxidation. iz'u 6 -fqukwy ds veyh; LoHkko dks le>kb,a Explain the acidic behavior of Phenol. iz'u 7 yh & kkrfy, fl)kur dh O;k[;k dhft,\ Explain Le- Chatellier s Principal. iz'u 8 VkbZ js[kk fdls dgrs gs \ çkolfkk fu;e dh lgk;rk ls bls le>kkb;s A What is a tieline \Explain it with the Help of Phase rule? iz'u 9 vey &{kkjd ds fy, yqbl fl)kur dk foospu djksa A Discuss Lewis theory for acid and base. iz'u 10 laøe.k rroksa ds fof k"v xq.kks dk o.kzu djksaa Describe characteristic properties of transition elements. iz'u11- Lora=rk dh dksfv dks ifjhkkf"kr dhft,a Define the degree of freedom. iz'u 12 V, Cr o Mn dh lokszpp vkdlhdj.k volfkk fyf[k, A Write maximum oxidation state of V, Cr and Mn.

8 Assignment Question Paper II. iz'u1 twy&fkkelu izhkko D;k gsa vkn'kz xsl ds fy, twy&fkkelu xq.kkad dk O;atd O;qRiUu djksa What is Joule-Thomson effect. Derive the equation of Joule-Thomsaon coefficient for an ideal gas. iz'u 2- izcy fo qr vi?kv;ksa ds fmckbz&gdy fl)kur dh foospuk dhft;sa Li"V :i ls le>kb;s fd vlefer izhkko rfkk fo qr d.k lapyu izhkko ls D;k rkri;z gs\ Give an account of Debye-Hiickel theory of strong electrolytes. Explain clearly what is meant by Assymmetric effect and Electrophoretic effect. iz'u 3 ØkseksQksj o vkdlksøkse dk mnkgj.k lfgr le>kb;s A Explain Chromophore and Auxochrome with example. iz'u 4 fiukdkwy &fiukdksyksu iquzfou;kl ij,d fvii.kh fyf[k, A Write a short note on Pinacolone Pinacolone rearrangement iz'u 5 çhkkoh ijek.kq la[;k fu;e dks pkj mnkgj.kksa ls Li"V dhft,a Explain Effective Atomic Number rule with four examples. iz'u 6 fxcct gsyegksyv~t lehdj.k dh O;qRiUu djksaa Derive the equation of Gibb's of Gibb's Helmholtz. iz'u 7 ÝksLV vkjs[k dks le>kb,a Explain the Frost diagram. iz'u 8- izcy fo qr vi?kv;ksa ds fmckbz&gdy fl)kur dh foospuk dhft;sa Li"V :i ls le>kb;s fd vlefer izhkko rfkk fo qr d.k lapyu izhkko ls D;k rkri;z gs\ Give an account of Debye-Hiickel theory of strong electrolytes. Explain clearly what is meant by Assymmetric effect and Electrophoretic effect. iz'u 9- Mh&CykWd rroksa ds vfhkyk{kf.kd xq.kksa dk o.kzu dhft,a Discuss the characteristic properties of d-block elements. iz'u 10- vkbz vkj fofdj.kksa dh miflfkfr esa gksus okys fofhkuu izdkj ds tks deiu dkczfud ;ksfxdksa esa gksrs gsa] mugsa le>kb;sa Explain various types of vibrations that occur in organic compounds in presence of IR radiations. iz'u 11-laØe.k rro jaxhu vk;u D;ksa nsrs gsa\ Why transition elements give coloured ions? iz'u 12-Å"ekxfrdh ds izfke fu;e dks le>kb;sa Explain the First Law of Thermodynamics.

9 Madhaya Pradesh Bhoj Open University.Bhopal B.Sc IIND YEAR Subject : Mathematics funsz k& 1& lhkh iz'u Lo;a dh glrfyfi esa gy djuk vfuok;z gsa 2& nksuksa l=h; iz'u i= fo ofo ky; }kjk iznk; l=h; mrrj iqflrdkvksa esa gy djuk vfuok;z gsa 3& l=h; dk;z tek djus dh vafre frffk 30 ebz 2015 gsa 4& l=h; dk;z mrrj iqflrdkvksa dks tek djus dh jlhn vo'; izkir dj ysaa Assignment Question Paper I MaximumMarks:30. iz'u 1 ysxzkat dh ek/;eku izes; dk dfku fyf[k,,oa fl) dhft,a State and prove Lagrange mean value theorem. iz'u 2 gy dhft;s tc 4(r-s) + t=16 log (x+2y) Solve when 4(r-s) + t=16 log (x+2y) iz'u 3 ifjc)rk izes; dk dfku fyf[kr,oa fl) dhft,a State and prove boudedness theorem. iz'u 4 ykiykl :ikurj dks ifjhkkf"kr dhft, rfkk %& dk ykiykl :ikurj Kkr dhft,a Define Laplace transform and find Laplace transform of t n iz'u 5,d pdzt ij xfreku,d d.k ds osx dh fn kk dh ifjorzu dh nj vpj gsa fl) dhft, fd mldk Roj.k vpj ifj.kke dk gksxka The rate of change of direction of velocity of a particle moving a cycloid is constant. Prove that acceleration must be constant in magnitude. iz'u 6?kkr Js.kh dh ifjhkk"kk nhft;sa define power series. iz'u 7 fl) dhft;s fd vuqøe {1/n} vfhklkjh gsa Prove that sequence {1/n} is convergent. iz'u 8 Roj.k dh ifjhkk"kk nhft;sa Define Acceleration. iz'u 9 nks lekax NM+ AB,oa AC izr;sd dh yackbz 2b gs rfkk A ij tqmh gqbz gs rfkk a f=t;k ds mnxz o`rr ih flfkr gs ;fn lkekolfkk esa buds chp dk dks.k 2θ gks rks fl) dhft;s& bsin 3 θ = cos θ Two uniform rods AB and AC each of length 2b are joined at A and rests on a vertical circle of radius a if 2 θ be angle between rods. show that in the state of equilibrium. bsin 3 θ = cos θ iz'u 10,d pdzt ij xfreku,d d.k ds osx dh fn kk dh ifjorzu dh nj vpj gsa fl) dhft, fd mldk Roj.k vpj ifj.kke dk gksxka The rate of change of direction of velocity of a particle moving a cycloid is constant. Prove that acceleration must be constant in magnitude.

10 iz'u 11 pkjfiv fof/k dk lgk;d lehdj.k fyf[k,a Write auxiliary equation of Charpit s method. iz'u12-ljy vkorz xfr dh ifjhkk"kk nhft,a Define simple harmonic motion. Assignment Question Paper II. iz'u 1-,d d.k],d f=hkqt ds {ksfrt vk/kkj ds,d fljs ls bl izdkj Qsadk tkrk gs fd og f=hkqt ds 'kh"kz dks Nwrk gqvk vk/kkj ds nwljs fljs ij vkdj fxjrk gsa ;fn A rfkk B vk/kkj dksa.k gksa rfkk α iz{ksi; dksa.k gks rks fl) dhft, fd tanα tan A tan B. A particle is thrown over a triangle from one end of a Horigontal base and graying the vertex falls on the other end of the bass. If A, B be the base angles and α the angle of projection then proves that tanα = tan A + tan B iz'u 2 lehdj.k (x-x 2 )d 2 y/dx 2 +(1-x)dy/dx-y=0 dk gy Kkr dhft;sa solve the eq (x-x 2 )d 2 y/dx 2 +(1-x)dy/dx-y=0 iz'u 3- ;fn,d d.k ds f=t;,oa vuqizlfk osx lnso,d nwljs ds lekuqikrh gksa rks fl) dhft, fd mldk ifk,d leku dks.kh; lfizy gksxka If the radial and transverse velocities of a particle are always proportional to each other, prove that the path is an equiangular spiral. iz'u 4 fl) dhft, fd izr;sd dks kh vuqdze ifjc) gksrk gsa Prove that every Cauchy Sequence is bounded. iz'u 5 mfpp"b,oa fufeu"b ds fy, i;kzir izfrcu/k fy[kksa Write sufficient conditions for maxima and minima. iz'u 6 fueufyf[kr Js.kh ds vfhklj.k dk ijh{k.k dhft,& x x x Test the convergence of the following series x x x iz'u 7,d d.k vkdk k esa vpj xq:rokd"kz.k ds izhkko esa,sls ek/;e es a fxjrk gs fd izfrjks/kh cy mlds osx ds lekuqikrh gsa d.k dh xfr dh foospuk dhft,a A particle falls under gravity (supposed constant) in a reisting medium whose resistance varies as velocity. Discuss the motion. iz'u 8 - ;fn,d d.k ds f=t;,oa vuqizlfk osx lnso,d nwljs ds lekuqikrh gksa rks fl) dhft, fd mldk ifk,d leku dks.kh; lfizy gksxka If the radial and transverse velocities of a particle are always proportional to each other, prove that the path is an equiangular spiral. iz'u 9 vody lehdj.k r = a2t dk gy Kkr dhft;sa Solve the differential equation r = a 2 t iz'u 10 fl) dhft;s fd β (l,m) β (l+m,n) = β (m,n) β (m+n,l)

11 Prove that β (l,m) β (l+m,n) = β (m,n) β (m+n,l) iz'u11-xkek Qyu dh ifjhkk"kk nhft,a Define Gamma function. iz'u12-lk/kkj.k dsfvujh dk ust lehdj.k Kkr dhft;sa Find the intrinsic equation of common catenary.

MADHYA PRADESH BHOJ (OPEN) UNIVERSITY BHOPAL B.S.C. SECOND YEAR SUBJECT: MATHEMATICS MAXIMUM MARKS:

MADHYA PRADESH BHOJ (OPEN) UNIVERSITY BHOPAL B.S.C. SECOND YEAR 2016-17 SUBJECT: MATHEMATICS MAXIMUM MARKS: 30 funsz k& 1& lhkh iz'u Lo;a dh glrfyfi es a gy djuk vfuok;z gsa 2& nksuks a l=h; iz'u i= fo