BABSc, B.Com & BCA Questions _III - Nalanda Open University

More documents

Recommendations

Info

Nalanda Open University Annual Exam-2010, Bachelor of Science (Chemistry) Hons, Part-III Paper-VIII Time: 3 Hrs Full Marks: 75 Answer any FIVE questions. All questions are of equal marks. 1. (a) How are water pollutants classified? (b) What are the major objectives of the secondary waste water treatment? Describe any one of the biological waste water treatment process in detail? 2. (a) What is spectroscopy and differentiate between atomic and molecular spectroscopy. (b) Explain the terms and give a relationship between them. (i) Wave-length (ii) Frequency (iii) Wave number OR Describe how ultra-violet, visible and infrared spectroscopy have proved useful in elucidating molecular structure? 3. (a) Discuss classification of solid fuels with special reference to coal. (b) Elaborate gaseous fuel and their classifications. 4. Discuss the principle and applications of NMR Spectroscopy and explain that how is this technique is being used in elucidating the structure of molecule. 5. Write different artificial phosphatic fertilizers with their chemical formulae/composition. Give flow-sheet diagram for manufacture of superphosphate from rock phosphate. 6. What parameters one can get from the study of the vibration-rotation spectrum of a heteronuclear diatomic molecule? How are they estimated? 7. Write explanatory notes on any THREE of the following: (a) Ozone layer (b) Desheilding of protons (c) Air pollution and pollutants of soil. (d) Advantages of biogas usefulness. 8. Mention the different Spectroscopes associated with the different regions of the electromagnetic spectrum bringing out the nature of transitions involved. 9. (a) How are the molecular weight of macromolecules determined? (b) Discuss the role of free radicals in polymerization reactions. 10. Detail the chemistry of UV-Spectroscopy. Give the various types of transitions involved with one example in each case.
Nalanda Open University Annual Exam-2010, Bachelor of Science (Mathematics) Hons, Part-III Paper-V Time: 3Hrs Full Marks: 75 Answer Six questions, selecting at least one question from each group. Group-A 1. (a) Define an open set. Prove that a subset G of a metric space X s open if and only if G is a union of open spheres. (b) Prove that the union of any family of open sets in (X, d) a metric space, is open. 2. (a) Let (X, d) be a metric space. Prove that the intersection of any family of closed sets in X is closed. (b) In a metric space. Prove that each closed sphere is a closed set. 3. (a) Let X and Y be metric spaces and f a mapping of X into Y. Show that f is continuous d i b g for every subset A of X. ⇔ f A ⊆ f A (b) Let X and Y be metric spaces and f a mapping of X into Y. If f be a constant mapping then show that f is continuous. 4. (a) In a topological space, give a characterization of continuity in terms of open sets. (b) Show that every subspace of a Hausdorff space is Hausdorff. Group-B 5. (a) Prove that every bounded continuous function is Riemann integrable. (b) Let f(x) be defined for [0,1] by the condition that if n is a positive integer, then n−1 1 f ( x) = ( −1) where x n + 1 < < 1 n z1 f x dx Show that f is R-integrable and ( ) = log 4 −1 0 6. (a) If f and g are two bounded and R-integrable functions on [a, b] then show that f+g z z +z b b b f ( x) g( x) dx f ( x) dx g( x) dx is R-integrade on [a, b] and + = a a a . π F I HG K J = n n 1 lim + + ....... + n → ∞ 2 2 2 2 n + 1 n + 2 2 n 4 (b) Prove that Group-C 7. Discuss convergence of 1 1 1 1 1 1 1 1 1 + − + + − + + − + ....... α α α α α α α α 3 2 5 7 4 9 11 6 different values of α . for 8. (a) State and prove Pringshiem's Theorem on double series. (b) If a double series is absolutely convergent then show that it is convergent. Group-D 9. (a) Define a normed linear space and Banach space. Construct a normed linear space which is not a Banach space. (b) Let N be a non-zero normed linear space. Show that N is a Banach space if and only if {x : ||x|| = 1} is complete. 10. In case of a matric space X, when a function defined on X is said to vanish at infinity. In case of real line R, show that functions f and g defined by f ( x ) = − 2 ex 1 g( x) = 2 and x + 1 vanish at infinity. 11. Let N and N' be two normed linear spaces. Prove that β(N, N ' ), the set of all continuous linear transformations of N into N ' is a normed linear space with respect to the pointwise linear operations and norm defined by T = inf{ K: K ≥ 0and Tx ≤ K x for all x} .
Page 1 and 2: Nalanda Open University Annual Exam
Page 9 and 10: SET-I Nalanda Open University Annua
Page 11 and 12: Answer any five questions, selectin
Page 29 and 30: (Human & Settlement Geography) Pape
Page 39: Nalanda Open University Annual Exam
Page 42 and 43: (a) Grenth curve (b) Auxin (c) Imbi
Page 44 and 45: 5. What is air pollution? In what w
Page 52 and 53: 12. (a) Let M be a closed linear su
Page 84 and 85: (viii) (ix) (x) 'kq) tyok;q dk ih-,
Page 86 and 87: Group 'B' ¼[kaM ^c*½ Answer any T
Page 88 and 89: 4 a. Vikramshila University ¼foØe
Page 90 and 91: Group 'C' ¼[kaM ^l*½ Answer any T
Page 92 and 93: 8 a. Vaccines ¼oSDlhu½ ¼oSDlhu½
Page 94 and 95: Nalanda Open University Term End Ex
Page 96 and 97: Hkkjr esa chek dEiuh dk jk"Vªh;dj.
Page 98 and 99: 3 a. Kaveri River ¼dkcsjh unh½ b.
Page 100 and 101:
5 a. People's Plan of 1944 ¼1944 d
Page 102 and 103:
7. a. Noise Pollution ¼/ofu iznw"k
Page 104 and 105:
9 a. Light year ¼izdk'k o"kZ½ b.
Page 106:
gw;eksjy fl)kUr -------------------
Page 109 and 110:
3 a. Mahabodhi Temple ¼egkck ¼egk
Page 111 and 112:
5 a. Consolidated Fund of India ¼H
Page 113:
7. a. Plasmodium ¼i ¼iYkkteksfM;e
Page 117 and 118:
9 a. Uranium-238 ¼;wjsfu;e&238½
Page 119 and 120:
okY;koLFkk ls ;qokoLFkk esa ifjorZu
Page 121 and 122:
Group 'B' ¼[kaM ^c*½ Answer any T
Page 123 and 124:
4 a. Iltutmish 1210-1236 ¼bYrqrfe'
Page 125 and 126:
Group 'C' ¼[kaM ^l*½ Answer any T
Page 128:
8 a. Kwashiorkar ¼Dokflvksjdj½ ¼
Page 131 and 132:
Nalanda Open University Term End Ex
Page 133 and 134:
Group 'B' ¼[kaM ^c*½ Answer any T
Page 135 and 136:
4 a. Directive Principles regarding
Page 137 and 138:
Group 'C' ¼[kaM ^l*½ Answer any T
Page 140:
8 a. EcoSystem ¼ikfjfLFkfrd ra=½
show all

BABSc, B.Com & BCA Questions _III - Nalanda Open University

Create successful ePaper yourself

Delete template?

Save as template?