please check whether you have got the right question paper ... · calculate the time required ......
TRANSCRIPT
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1 Q.P.Code : 00102
[Time: Three Hours] [Total Marks:100]
Please check whether you have got the right question paper. N.B: 1. All questions are compulsory.
2. Answer to the same question must be written together. 3. Figures to the right indicate full marks. 4. Use of non programmable calculator is allowed.
Q. 1
A i)
ii)
iii)
iv)
v)
vi)
vii)
viii)
ix)
x)
xi)
xii)
B
i) ii) iii)
Select the correct option and complete the following sentences. The integrated rate equation for a second order reaction with equal initial concentrations of the two reactant is ________
(a) K=1
𝑎𝑡 ·
𝑥
𝑎 (b) K=
2.303
𝑎𝑡 log
𝑎
𝑎·𝑥 (c) K=
1
𝑎·𝑡 ·
𝑥
(𝑎−𝑥)
The expression represents Snell’s law is ________
(a) 𝜂 = 𝑆𝑖𝑛 𝑖
𝑆𝑖𝑛 𝑟 (b) 𝜂 =
𝑆𝑖𝑛 𝑟
𝑆𝑖𝑛 𝑖 (c) 𝜂 =
𝑃𝜋𝑟⁴𝑡
8𝑉𝐿
The reaction2𝑁𝑂(𝑔) → 𝑁2 (𝑔) + 𝑂2 (𝑔) proceeds in a single elementary step, hence this reaction is
________ (a) unimolecular (b) bimolecular (c) trimolecular
Critical angle phenomenon takes place in _______ (a)Refractometer (b) Stalagmometer (c) Viscometer
_______ among the following exhibits catenation property. (a)Calcium (b) Sodium (c) Carbon
Outer electronic configuration of group 15 elements is _______ (a)𝑛𝑠2,𝑛𝑝1 (b)𝑛𝑠2, 𝑛𝑝3 (c)𝑛𝑠2 , 𝑛𝑝2
______ has valence electrons in the third shell. (a)Oxygen (b) Phosphorus (c) Lithium
Metallic character______ down the group. (a)increases (b) decreases (c) remain constant
Molecules with one asymmetric carbon atom has ______ optical isomers. (a)3 (b) 2 (c) 4
______ have similar physical and chemical properties. (a)diastereoisomers (b) enantiomers (c) geometric isomers
Racemic mixture rotates plane polarized light ______ (a)in neither direction (b) clock wise (c) anti clock wise
To find absolute configuration of molecule _______ technique is used. (a)polarography (b) X-ray diffraction (c) I. R. spectroscopy
State whether the following statements are True or False.
Half-life time for a first order reaction is a constant and independent of the initial concentration. Oxidation state exhibited by Group 2 elements is +2. Molecule with plane of symmetry is optically active. TURN OVER
(12) (03)
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2 Q.P.Code : 00102
C
Match the following columns:- Column A Column B i) carbon monoxide a) second order reaction in the gas phase ii) absolute configuration b) molar refractivity iii) potassium c) R or S iv) 2CH₃CHO→2CH₄+2CO d) acidic
v) 𝑛2−1
𝑛2+2 x
𝑀
𝑑 e) Group 1
(05)
Q. 2
A
A
i) A first order reaction is 30% complete in 80 seconds. Calculate the time required for the completion of 80% Reaction ii) Explain the decomposition of hydrogen peroxide as a pseudo first order reaction.
OR
i) A decomposition of hydrogen peroxide follows first order kinetics with the rate constant being 6x10−4 s−1 at 303 K. Calculate the concentration of 𝐻2𝑂2 remaining after 10 minutes if the reaction start with 0.05 mol dm⁻³ initially. ii) Explain the graphical representation of first order reaction. .
(05) (03)
(05)
(03)
B
B
i) What is coefficient of viscosity? The viscosity of a liquid is 0.080 Nsm⁻² at 293K and its density is 1.05x10³ kgm⁻³. How long will the liquid take to flow through the capillary of a viscometer if under identical conditions, water takes 30sec to flow though the same viscometer? (viscosity of water is 0.00101 Nsm⁻², density of water is 0.998 x 10³kgm⁻³) ii) Explain the term surface tension and draw a neat labelled diagram of stalagmometer.
OR i) In a Stalagmometer method two liquids A and B formed 40 and 60 drops for a fixed volume. If the densities of A and B are 0.85 x 10³ kgm⁻³ and 1x103 kgm⁻³ respectively and the surface tension of B is 0.07Nm⁻¹. Calculate surface tension of liquid A. ii) What is refractive index? Explain the term ‘Molar refraction’
(05) (03)
(05)
(03)
C
C
i) Define (a) Order of a reaction (b) Molecularity of a reaction ii) Define (a) Viscosity (b) Liquid Crystals
OR i) Define (a) Rate of a reaction (b) Rate constant of a reaction ii) Define (a) Surface tension (b) Reduced Viscosity.
(02) (02)
(02) (02)
Q.3 A A
i) In what ways lithium resembles magnesium in its properties. ii) Explain anomalous behavior of carbon.
OR i) Write the similarities shown by boron and silicon. ii) Illustrate the anomalous behavior of nitrogen compared to other elements in the same group.
(04) (04) (04) (04)
B B
i) How is sodium bicarbonate prepared? Mention any two of its properties. ii) Outline the important applications of calcium carbonate.
OR i) Describe one method of preparation and any two properties of calcium oxide.
TURN OVER
(04) (04) (04)
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3 Q.P.Code : 00102
ii) Quote any four uses of sodium hydroxide. (04)
C
C
What are carbides? Compare the formation of carbides of group I and group II elements with suitable examples.
OR Formulate the hydroxides of alkaline earth metals and compare their basic strengths.
(04) (04)
Q. 4 A
A
B
i) Explain the following terms. a) meso form b) plane polarized light ii) Assign ‘R’ or ‘S’ descriptors to the following molecules by mentioning the priority order of substituents. a) C₂H5 b)
H
H OH OR
i) What are geometric isomers? Explain geometrical isomerism in olefins and cyclic compounds with suitable examples. ii) Define enantiomers. Enlist any two pairs of enantiomers from following. CHO CHO CHO CHO
H OH HO H H OH HO H CH₂OH CH₂OH CH₂OH CH₂OH
(I) (II) (III) (IV) i) Which of the following compounds have chiral carbon? (a) CH₃CH₂CHBrCH₂CH₃ (b) CH₃CHCI₂ (c) CHO (d) CH₃CHCIC₂H₅ ii) Write the priority order of the substituents and assign ‘E’ or ‘Z’ descriptor to the following molecules
a) b)
TURN OVER
(04) (04) (04) (04) (04) (04)
Br
HɜC
CH₂OH
H₅C₂ NO₂
H₃C NH₂
I CH₃
C₂H₅ Br
H₂N CH₂OH
H Br Br Br Br H H H
H₂N H
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4 Q.P.Code : 00102
B
C
C
OR
i) Convert following fischer projection formulae to Newman projection formulae:-
(a) (b) ii) Assign ‘D’ or ‘L’ OR ‘cis’ or ‘trans’ whichever applicable to the following compounds:- a) b) c) d) Label the following structures with Erythro and Threo notations. a) b)
OR
What is racemic mixture? What is resolution of racemic mixture?
(04)
(04)
(04) (04)
Q. 5 A B C D E F
Attempt any four of the following. What is pseudo first order reaction? Explain acid catalysed hydrolysis of methyl acetate. i) Explain- Ostwald’s Isolation method of determination of order of a reaction. ii) Explain any three applications of liquid crystals Write a short notes on the following i)Acid Rain ii) Global Warming Name one oxide and oxyacid of Sulfur. Explain the impact of each on the environment. What is conformation? Explain conformations of ethane and comment on their relative stabilities. Write short note on various conformations of n-butane.
(05)
(02) (03)
(05) (05) (05) (05)
---------------------
C₂H₅
CH₃
CH₃
H
C₂H₅
CHO
H
OH
HO
H
CH₂OH
CH₃
H H₃C
H H Cl
H
CHO
NH₂ H₃C
H
CHO
HO H
C₂H5
CH₃
Cl
Cl
H
H
CH₃
CHO
OH
H CH₂OH
H
HO
Cl
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F
Q.P. Code :00298
[Time: 2𝟏
𝟐 Hours] [Marks:75]
Please check whether you have got the right question paper. N.B: 1. All Questions are compulsory.
2. Figures to the right indicates full marks.
Q.1) A) i.
ii.
iii.
iv.
v.
vi.
vii.
viii.
ix.
x.
Choose the correct alternative (any eight) __________ is the holy book of the Sikhs. (Guru Granath Sahib, Bible, Quran) The State of ________ in Indian has the highest gender ratio. (Kerala, Karnataka, Goa) In __________ there is short sightedness but not farsightedness. (Hypermetropia, Myopia, Onomatopoeia) ___________ is the main reason of female foeticide. (Preference for male child, Unemployment, Globalization) Demand of the ‘sons of the soil’ is ___________ (Communalism, casteism, Regionalism) There is a water dispute over ________ river in the states of Maharashtra Karnataka and Andhra Pradesh. (kaveri, Krishna, Koyna) _________ is the chief architect of the Indian Constitution. (Dr. Rajendra Prasad, Dr. B.R. Ambedkar, Acharya kripalni ) Indian constitution provides ____________ citizenship to the citizens of India. (Single, Dual, Triple) ____________ is a national party. (Biju Janata Dal, Telugu Desam, Indian National Congress) 73rd Amendment of the Indian Constitution is related to ___________. (Independent Judiciary, Panchayati Raj, Parliamentary System)
(08)
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Q.P. Code :00298
B) i.
ii.
iii.
iv.
v.
vi.
vii.
viii.
ix. x.
State Whether the following statements are True or False (any seven) India has no official religion.
Urban society is heterogeneous in nature.
Kerala has the worst gender ratio among the states of India.
Night blindness is caused due to deficiency of vitamin C.
Regionalism can cause interstate tension.
Caste System brings about Unity in India Society.
All those who have attained 18 years of age have the right to vote in India.
Indian constitution has 45 parts.
Shivsena is an example of a regional party.
Municipal corporations are formed as per the Act of state government.
(07)
Q.2)
Q.2)
Assess the causes of the declining gender ratio in India. OR Discuss the pluralistic nature of India Society.
(15)
Q.3)
Q.3)
Examine the types of physical disabilities. OR Make a study of the forms of violence against women.
(15)
Q.4)
Q.4)
What is Regionalism? Examine the causes of regional conflicts in India. OR Enumerate the fundamental duties as enshrined in the Indian Constitution.
(15)
Q.5)
Q.5)
a) b) c) d) e)
Write detail note on the significance of Panchayati Raj. OR Write short notes on (any three) Characteristics of Indian rural population Type of deafness Causes of Linguistic Conflicts. Preamble of the Indian Constitution. Significance of women in Indian Politics.
(15)
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Q.P. Code :00298
[Time: 2 𝟏
𝟐 Hours] [ Marks:75]
Please check whether you have got the right question paper. N.B: 1. सर्व प्रश्न अननर्ववय आहेत .
2. उजर्ीकडील अकं परू्व गरु् दर्ववर्तवत.
3. आर्श्यकतव र्वटल्यवस इंग्रजी प्रश्नपत्रिकव पहवर्ी .
प्र.१) (अ) १.
२.
३.
४.
५.
६.
७.
८.
योग्य पयववय ननर्डव (कोर्त्यवही आठ) ________ हव र्ीख लोकवचंव पवर्ि धर्वग्रथं आहे
(गरुु ग्रथं सवहेब, बवयबल, कुरवर्)
भवरतवत _________ यव रवज्यवत ललगं गरु्ोत्तरवचे प्रर्वर् सर्ववत जवस्त आहे. (केरळ, कनववटक, गोर्व)
___________ र्ध्ये जर्ळचे व्यर्स्स्थत ददसत ेपरंत ुलवंबचे ददसत नवही. (हवयपरर्ेट्रोवपयव, र्वयोवपयव,ओनोर्ॉटोपोईयव)
स्िी भरृ्हत्त्येचं र्खु्य कवरर् ________ आहे
( र्लुगव होण्यवस प्रवधवन्य, बेरोजगवरी, जवगनतकीकरर्)
भरू्ीपिुवच्यव र्वगण्यव म्हर्जे __________
(प्रदेर्र्वद, जर्तर्वद, जवतीर्वद)
र्हवरवष्ट्ट्र, कनववटक र् आंध्रप्रदेर् यव रवज्यवंर्ध्ये __________ यव नदीर्रून पवर्ी तटंव सरुु आहे. (कवर्ेरी, कृष्ट्र्व, कोयनव)
____________ हे भवरतीय रवज्यघटनेचे र्खु्य लर्ल्पकवर आहेत. (डॉ. रवजेंद्र प्रसवद, डॉ. बी. आर. आंबेडकर, आचवयव कृपलवनी )
भवरतीय रवज्यघटनव भवरतीय नवगररकवंनव ________ नवगरीकत्त्र् प्रदवन करत.े (एकेरी, दहेुरी, नतहेरी)
(०८)
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Q.P. Code :00298
९.
१०.
(ब) १. २. ३. ४. ५. ६. ७. ८. ९. १०.
________ हव रवष्ट्ट्रीय पक्ष आहे
(त्रबज ूजनतव दल, तलेग ुदेसर्, रवष्ट्ट्रीय कॉगें्रस)
भवरतीय सवंर्धवनवतील ७३ र्ी घटनव दरुुस्ती ________र्ी ननघडीत आहे. (स्र्तिं न्यवयव्यर्स्थव, पचंवयती रवज्य, ससंदीय र्वसनपद्धती)
खवलील वर्धवने चकू की बरोबर त ेललहव:- (कोर्तहेी सवत) भवरतवचव अधधकृत धर्व नवही. नवगरी सर्वजवच ेस्र्रूप वर्वर्धतवपरू्व असत े
भवरतवतील इतर रवज्यवंच्यव तलुनेत केरळर्ध्ये सर्ववत र्वईट ललगं गरु्ोत्तरवचे प्रर्वर् आहे
रवतआंधळेपर्व वर्टवलर्न सी च्यव कर्तरतरे्ळेु उदभर्तो. प्रदेर्र्वदवर्ळेु रवज्य-रवज्यवंर्ध्ये तर्वर् ननर्ववर् होतो जवती व्यर्स्थव भवरतीय सर्वजवर्ध्ये एकतव घडर्नू आर्त.े भवरतवतील र्यवची १८ र्र्ष ेपरू्व करर्वऱ्यवनव र्तदवनवचव अधधकवर देण्यवत आलव आहे. भवरतीय सवंर्धवत ४५ भवग आहेत.
लर्र्सेनव प्रवदेलर्क पक्षवचे उदवहरर् आहे
रवज्यर्वसनवच्यव कवयद्यवप्रर्वरे् र्हवनगरपवललकवंची ननलर्वती केली जवत.े
(०७)
प्र.२) भवरतवतील कर्ी होत जवर्वऱ्यव ललगं गरु्ोत्तरवची कवररे् तपवसव.
क िं वा भवरतीय सर्जवयच्यव बहुसवंस्कृनतक स्र्रुपवची चचवव करव.
(१५)
प्र.३) र्वरीररक अपगंत्र्वच्यव प्रकवरवंचे परीक्षर् करव. क िं वा
स्स्ियवंर्रील होर्वऱ्यव अत्यवचवरवंच्यव प्रकवरवचंव अभ्यवस करव.
(१५)
प्र.४) प्रवंतर्वद म्हर्जे कवय? भवरतवतील प्रवंतर्वदवच्यव कवरर्वचंे परीक्षर् करव.
क िं वा
भवरतीय रवज्यवघटनतेील र्लुभतू कतवव्य नर्दू करव.
(१५)
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Q.P. Code :00298
प्र.५)
अ. ब. क. ड. ई.
पचंवयती रवज्यवच्यव र्हत्र्वर्र सवर्स्तर टीप ललहव. क िं वा थोडक्यवत दटपव ललहव (कोर्त्यवही तीन) भवरतवतील ग्रवर्ीर् लोक्सखंचेी र्लैर्ष्ट््ये
बदहरेपर्वच ेप्रकवर
भवर्षवर्वदवर्ळेु होर्वऱ्यव कलहवंची कवररे्
भवरतीय रवज्यघटनेची उद्देलर्कव भवरतीय रवजकवरर्वतील स्स्ियवंचे र्हत्र्
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Q.P. Code : 00591
1
[Time: Three Hours] [Marks:100]
Please check whether you have got the right question paper. N.B: 1. All questions are compulsory.
2. Figures to the right indicate full marks.
Q.1 Choose correct alternative in each of the following:
(20)
i. Multiplicative inverse of a real number 𝑥
2_____.
(a) exists only if 𝑥 ≠ 0 (b) does not exist (c) exists in ℝ (d) none of these
ii. If 𝐴 is a finite subset of ℝ then (a) 𝐴 is only bounded above (b) 𝐴 is bounded (c) 𝐴 is only bounded below (d) none of these.
iii. For any 𝑥 ∈ ℝ, |𝑥| = max {𝑥, −𝑥}, this statement is ______ (a) true (b) false (c) cannot say (d) true only if 𝑥 > 0
iv. The sequence (2𝑛) in ℝ is ______. (a) bounded (b) convergent (c) divergent (d) none of these
v. The sequence (𝑥𝑛) where 𝑥𝑛=
2
3𝑛, ∀𝑛 ∈ ℕ is ______.
(a) monotonic increasing (b) monotonic decreasing (c) divergent (d) none of these
vi. Every Cauchy sequence in ℝ is ______. (a) never convergent (b) monotonic decreasing (c) bounded (d) none of these P.T.O.
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Q.P. Code : 00591
2
vii. lim𝑛→∞
(1 +1
𝑛)
𝑛is ______.
(a) 1 (b) e (c) 0 (d) none of these
Viii. The value of lim
𝑥→0 |𝑥|
𝑥 ______.
(a) 1 (b) -1 (c) does not exist (d) none of these
ix. If 𝑓(𝑥) = {2𝑥 + 1 for 𝑥 < 0𝑥 − 1 for 𝑥 ≥ 0
then 𝑥 = 0 is a point at which the function 𝑓(𝑥) is _______.
(a) discontinuous (b) continuous (c) not defined (d) decreasing
x. The function If 𝑓(𝑥) = 𝑥2+ 𝑥, 𝑥 ∈ ℝ is ______. (a) continuous (b) continuous only if 𝑥 > 0 (c) negative (d) none of these
Q.2 (a) Attempt any ONE question from the following:
(08)
i. State and prove Archimedean property of ℝ. ii. State any four properties of ℝ under addition. Further, prove that additive identity in ℝ is unique.
(b) Attempt any TWO questions from the following:
(12)
i. Define absolute value of a real number. Further prove the following: |𝑥 + 𝑦| ≤ |𝑥| + |𝑦|,∀𝑥, 𝑦 ∈ ℝ.
ii. Let 𝑛 ∈ ℕ and let 𝑎1,𝑎2,…., 𝑎𝑛 and 𝑏1,𝑏2,…., 𝑏𝑛 be any real numbes then prove that:
|∑ 𝑎𝑖 𝑏𝑖
𝑛
𝑖=1
| ≤ √∑ 𝑎𝑖2
𝑛
𝑖=1
√∑ 𝑏𝑖2
𝑛
𝑖=1
iii. Prove that if ∅ ≠ 𝐴 ⊂ ℝ, 𝐴 bounded then supremum of 𝐴 is unique, Further, find supremum of the following sets, if it exists : 𝐴 = (0,1), 𝐵 = ℕ.
iv. Show that if 𝑥, 𝑦 ∈ ℝ with 𝑥 < 𝑦 then there exists 𝑟 ∈ ℚ such that 𝑥 < 𝑟 < 𝑦.
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Q.P. Code : 00591
3
Q.3 (a) Attempt any ONE question from the following:
(08)
i. Define Cauchy sequence and bounded sequence in ℝ. Show that every Cauchy sequence is bounded in ℝ.
ii. Define monotonic increasing sequence in ℝ. Show that every monotonic increasing sequence in ℝ which is bounded above is convergent.
(b) Attempt any TWO questions from the following:
(12)
i. Show that every convergent sequence has a unique limit in ℝ.
ii Using definition, show that lim𝑛→∞
2𝑛+1
5𝑛+2 =
2
5.
iii. Find two convergent subsequence of a sequence (3+cos(𝑛𝜋)) having different limits. Hence discuss the convergence of the given sequence.
iv. Show that the sequence (7 +
2
𝑛) is monotonic decreasing and bounded in ℝ.
Q.4 (a) Attempt any ONE question from the following:
(08)
i. Let 𝑓: ℝ ⇢ ℝ be a function and let 𝑎 ∈ ℝ. When can we say lim𝑥→𝑎
𝑓(𝑥) = 𝑙 ? Further, prove that,
if lim𝑥→𝑎
𝑓(𝑥) exists then it is unique.
ii. Let 𝑓, 𝑔: ℝ ⇢ ℝ be two functions and let 𝑝 ∈ ℝ, if lim𝑥→𝑝
𝑓(𝑥)=𝑙 and lim𝑥→𝑝
𝑔(𝑥) = 𝑚, then prove that
lim𝑥→𝑝
(2𝑓 − 4𝑔)(𝑥) = 2𝑙 − 4𝑚.
(b) Attempt any TWO questions from the following:
(12)
i. Draw the graph of a function 𝑓(𝑥) = |𝑥| for −4 ≤ 𝑥 ≤ 5.
ii. Let 𝑓: ℝ ⇢ ℝ be a function and let 𝑙 ∈ ℝ. Give definition of lim𝑥→∞
𝑓(𝑥) = 𝑙 and also find
lim𝑥→∞
(𝑥2 + 5)(2 − 𝑥3)
(𝑥3 + 2𝑥)(4 + 2𝑥2)
iii. Prove that 𝑓(𝑥) = {−1 𝑥 ∈ ℚ1 𝑥 ∈ ℝ\ℚ
is discontinuous at 𝑥 = 1 by using sequential definition of continuity.
iv. Prove that lim𝑥→2
2𝑥 + 4 = 8 by using 𝜖 − 𝛿 definition of limits.
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Q.P. Code : 00591
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Q.5 Attempt any FOUR questions from the following.`
(20)
(a) Find disjoint neighborhoods of 1
3 and
1
2.
(b) Prove that Arithmetic mean ≥ Geometric mean, for 𝑎, 𝑏 ∈ ℝ, 𝑎, 𝑏 ≥ 0.
(c) Show that, the sequence (1
𝑛!) converges to 0 in ℝ.
(d) Show that, the sequence (1
2𝑛) is Cauchy sequence in ℝ.
(e) State Sandwich theorem for limit of a function, use it to find lim𝑥→−2
𝑓(𝑥) where
−(𝑥 + 2)2 + 5 ≤ 𝑓(𝑥) ≤ (𝑥 + 2)2 + 5 for all 𝑥 ∈ ℝ.
(f) Discuss the continuity of the following function, at 𝑥 = 1,2 where 𝑓(𝑥) = {
2𝑥 𝑖𝑓 𝑥 < 14𝑥 − 2 𝑖𝑓 1 ≤ 𝑥 < 2
𝑥² 𝑖𝑓 2 ≤ 𝑥
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Q.P. Code :01107
[Time: Three Hours] [ Marks:100]
Please check whether you have got the right question paper. N.B: 1. Figures to the right indicate maximum marks
2. Use of non-programmable calculators is allowed.
Q1. A) Select the correct option:- 12 i) Two bodies are kept in contact. If F, FN and f denote the non-zero manitudes of the contact force,
normal force and friction force, then which of the following is correct? a) FN > F b) FN > F c) F < f d) F > f.
ii) In case of an inertial frame of reference which statement from the following is true? a) Newton’s laws are valid b) Newton’s laws are not valid c) pseudo forces are present d) none of the above.
iii) Power of a lens is defined as the ……… of its focal length expressed in meter. a) reciprocal b) square c) square root d) cube
iv) The phenomenon of interference was discovered by ………… a) Newton b) Thomas Young c) Fresnel d) Einstein
v) Amount of the work done in pulling the molecules apart measures the a) Latent heat of vaporization b) Latent heat of fusion c) Specific heat d) Entropy
vi) In the empirical relation P = A + BP + CP2 + DP3 ……… at Boyle’s temperature, the coefficient B is pressure of the steam a) Zero b) Maximum c) Minimum d) Critical value
B) Answer in one statement. 3 i) Define modulus of elasticity. ii) Define longitudinal chromatic aberration. iii) Define quasistatic process C) Fill in the blanks:- 5 i) SI unit of force is ……….. ii) The working of Venturimeter is based on the ……………… Principle. iii) In spherical aberration …………. Correspond to the position of the best image. iv) For a system to be in chemical equilibrium there should be no ……………….. within the system. v) Zeroth law of thermodynamics deal in ……………. Q2. A) Attempt any ONE. i) Give basic steps followed while solving problems based on the applications of Laws of motion.
Hence for a body of mass m suspended by two strings making angles 𝛼 and 𝛽 with the horizontal, find the tensions in the strings.
8
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Q.P. Code :01107
ii) Establish relation Y = 3K (1 - 2𝜎) between elastic constants considering a unit cube of a
homogenous and isotropic material. B) Attempt any ONE. 8 i) Derive Poiseuille’s equation for streamline fluid flow. ii) Consider a steady flow of an incompressible fluid and hence prove the relation 𝑃+ 𝜌𝑔ℎ +
1
2 𝜌𝑣2 =
constant where symbols have usual meaning.
C) Attempt any ONE. 4 i) A block slides down an incline of inclination angle 300 with an acceleration
𝑔
4. Find the coefficient
of kinetic friction.
ii) Calculate the Young’s modulus for the material of a wire having modulus of rigidity 8 X 1010 𝑁𝑚-2 and Poisson’s ratio 0.2.
Q 3 A) Attempt any ONE of the following: 8 1. Derive the condition for achromatic combination of two thin lenses when they are in contact
with each other.
2. Derive an expression for focal length of a thick lens. B) Attempt any ONE of the following: 8 1. Derive an expression for the effective path difference for interference by reflected light in thin
films.
2. What are cardinal points? With the help of neat diagrams show the cardinal points of a thick lens.
C) Attempt any ONE of the following: 4 1. Two thin lenses of focal lengths 15 cm and 20 cm are placed coaxially parallel to each other at a
distance 5 cm apart. Find the equivalent focal length and plot the cardinal points and planes.
2. Determine the radii of curvature for a lens of focal length f = 30 cm and refractive index 1.5 such that parallel incident light has minimum spherical aberration.
Q 4. Attempt any ONE: 8 1) Discuss the P-V isothermal obrained from the Andrews experiments. 2) Prove that Cp – Cv = R and
𝜕𝑇
𝜕𝑉 =
𝐶𝑣 − 𝐶𝑝
𝛼 𝑉 𝐶𝑉
B) Attempt any ONE: 8 1) i) Derive the relation between the Van der waal’s constants and critical constants
ii) State the first law of thermodymaics and hence what is its significance and limitations.
2) i) State and explain the zeroth law of thermodynamics. ii) Explain the change of state.
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Q.P. Code :01107
C) Attempt any ONE: 4
1) Find the equation of the curve passing through maxima and minima of Van der Wall’s isothermals.
2) A quantity of air at 27 0C and atmospheric pressure is suddenly compressed to 25% its original volume. Find the final pressure and temperature if ratio of specific heat (Cp/Cv) is 1.4
Q 5. Attempt any FOUR of the following: 20 1) With the help of neat diagram explain the Ramsden’s eyepiece. 2) Explain how spherical aberration can be reduced using stops or by reducing the lens aperture. 3) A horizontal force of 10 N is applied to a block of 2 Kg resting on a rough horizontal surface. Draw
FBD diagram. If the block does not move on the surface, find the frictional force applied by the surface on the block.
4) A metal plate of area 300 cm3 rests on 2 mm thick layer of castor oil. The coefficient of viscosity of oil is 20 poise. If an external force of 1.5 N is applied on the plate, find the speed of the plate.
5) Explain the concept of Internal energy. 6) Air at N.T.P. is compressed adiabatically to half of its volume. Calculate the change in its
temperature.
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Q.P. Code :01220
[Time: Three Hours] [ Marks:100]
Please check whether you have got the right question paper. N.B: 1. All questions are compulsory.
2. Figures to the right indicate maximum marks. 3. Use of non-programmable calculators is allowed.
Q.1 A) Select the correct option. 12
i) The rate of disintegration of a given sample of radio-nuclides of 1017 atoms/s and half-life is 1445 years. Then number of atoms is
1. 1.44 x 1017 2. 1.4 x 1017 3. 6.57x1027 4. None of these.
ii) If M is the atomic mass, A is mass number, then (M-A)/A 1. Packing fraction 2. Mass defect 3. Fermi energy 4. Binding energy
iii) In the following reaction, X - ……………….168O + 21H X + 31H
a) 168O b) 15
8O c)157N d)None of the these
iv) For an endothermic nuclear reaction, Q…..0.
a) ≤ b) ≥ c) d) =
v) The inverse of pair production processes is called….. a) pair formation b) pair annihilation c) Both (a) and (b) d) None of these
vi) The wavelength at which a blackbody emits maximum amount of radiation is proportional to ………. a) 1/T b) T c) T3 d) T4
B) Answer in one statement. 03 1) Assuming the nuclei to be spherical in shape, how does the surface area of a nucleus of
mass number A1 compare with that of a nucleus of mass number A2 2) What are stripping reactions? 3) State Wein’s displacement law.
C) Fill the blanks 05 1) Isotopes have same ……………….. number but different………. Number.
2) Radioactive decay processes occur until a ……………….. element is formed. 3) Energy released in nuclear fusion is …………. Than energy released in nuclear fission. 4) For a perfectly …………………… the coefficient of absorption is 1. 5) The simultaneous error in measurement of energy and …………. of the particle will be of
the order Plancks constant.
Q.2 A) Attempt any ONE 08
1) Describe Rutherford alpha particle scattering experiment to give an idea about the size and density of nucleus.
2) Draw a graph showing the variation of binding energy per nucleon with the mass number. What are the main inferences from the graph? Explain, with the help of this plot, the release of energy in the processes of nuclear fission and fusion.
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Q.P. Code :01220
Q.2 B) Attempt any ONE 08
1) Explain the process of carbon dating. How can the age of geological sample is determined?
2) Discuss ‘radioactive equilibrium’ and the conditions under which the secular and transient equilibrium are obtained.
Q.2 C) Attempt any ONE 04
1) What activity in dis/min. gm. would be expected for carbon sample from bones that are said to be 2000 years old. Activity of C14 in living plant=15dis/min. gm; T=5570 yrs.
2) Calculate the B.E. and packing fraction for Helium. The atomic masses of proton, neutron and helium are 1.00814 u, 1.00898u & 4.00387u respectively.
Q.3 A) Attempt any ONE of the following. 08
1) With the help of a neat diagram, explain the construction and working of proportional counter.
2) Explain the construction and working of Geiger-Mueller counter.
Q.3 B) Attempt any ONE of the following. 08
1) Define Q- Value of the nuclear reaction. Obtain an expression for Q- equation. 2) State and explain the various laws of conservation on which the balancing of nuclear
reaction occurs.
Q.3 C) Attempt any ONE of the following. 04
1) Calculate the Q value of reaction 105B(a, p) 13
6C. in MeV Given: Atomic masses : Boron= 10.013534 a.m.u., Carbon= 13.003354 a.m.u., Helium=4.002603 a.m.u., Proton=1.007825
2) Find the energy released when two deuterium nuclei fuse to form an α particle. Given: Atomic mass of deuterium= 2.014102 a.m.u., mass of Helum=4.002603 a.m.u.,
Q.4 A) Attempt any ONE of the following. 08
1) Derive an expression for shift in wavelength in Compton Effect. 2) Explain how X-rays are produced used Coolidge tube.
Q.4 B) Attempt any ONE of the following. 08 1) Describe continuous X-ray spectra of an element.
2) Describe Davission- Germer experiment to verify dual nature of particle
Q.4 C) Attempt any ONE of the following. 04 1) Calculate the wavelength of scattered photon at 45 by X-ray of wavelength 6 x 10-7 m in
carbon atom. 2) The uncertainty in velocity of a bullet of mass 10gm is 1m/s. Calculate the uncertainty in
the position if the bullet.
Q.5 A) Attempt any FOUR of the following. 20 1) Explain the terms :
a. Disintegration constant b. Half life c. Mean life of a radioactive element & write relation between them.
2) Compute the (B/A) binding energy per nucleon of 5B11 if m (p) =1.0081437 amu, m(n) =1.008983 amu and m5 B11=11 amu. 1 amu=931 MeV
3) Write short note on Bremsstrahlung process. 4) Distinguish between the ionization chamber and GM counter 5) Write note on Graviatational red shift. 6) What are matter waves? Write properties of matter waves.
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