Education_18-10-2018

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REASONING FOR ALL COMPETITIVE EXAMS Puzzle Test S. LENIN BABU LECTURER IN MATHS GOVERNMENT POLYTECHNIC COLLEGE VIJAYAWADA. PH : 9985476035

Introduction : This area of analytical thinking includes problems put as riddles including certain number of things, be it persons or things. The competitor is required to break down the given data, shorten it in a reasonable frame and answer the problems. Concept : The questions on puzzle test might be any of the accompanying sorts:1. Classification type problems. 2. Seating/ Placing arrangements. 3. Comparison type problems. 4. Sequential Order of things. 5. Selection based on given conditions. 6. Family-based questions. 7. Jumbled questions. 1. Classification type problems: This

kind comprises of problems in which certain things having a place with various gatherings or handling diverse qualities are given alongside some hints with the assistance of which the applicant is required to group and examine the given things and answer the problems accordingly. 2. Seating/Placing arrangements: In this kind of problems, some hints of information with respect to seating or setting arrangement (straight or round) of a few persons or things is given. The applicant is required to shape the best possible grouping using these hints and answer the given problems respectively. 3. Comparison type problems: In such kind of problems, hints of information are given in regards to correlations among an arrangement of persons or things as for one or more qualities. The competitor is required to examine the entire data, shape a paper climbing/plunging grouping and after that answer the given problems accordingly.

General Mental Ability - Model Problems 1: Study the following information carefully and answer the questions that follows: i) Five friends, A, B, C, D and E travelled to five different cities of Chennai, Kolkata, Delhi, Bangalore and Hyderabad by different modes of transport of Bus, Train, Aeroplane, Car and Boat from Mumbai. ii) The person who travelled to Delhi did not travel by boat. iii) C went to Bangalore by car and B went to Kolkata by aeroplane iv) D travelled by boat whereas E travelled by train. v) Mumbai is not connected by bus to Delhi and Chennai. i. Who among the following travelled to Delhi a. C b. D c. E d. Data inadequate e. None of these ii. Which of the following combinations of place and mode is not correct? a. Delhi-Bus b. Kolkata- Aeroplane c. Bangalore- Car d. Chennai-boat e. Hyderabad- bus iii. Which of the following combinations is true for D? a. Delhi-Bus b. Chennai-Bus

c. Chennai- Boat d. Data inadequate e. None of these iv. Which of the following combinations of person and mode is not correct? a. A- Bus b. B- Aeroplane c. C- Car d. D- Boat e. E- Aeroplane v. The person travelling to Delhi went by which of the following modes? a. bus b. train c. aeroplane d. car e. boat Solution: The given information can be analysed as follows: a) Mode of transport: C Travels by car, B by an aeroplane, D by boat and E by train. Now, only A remains. So, A travels by Bus. b) Place of travel: C goes to Bangalore , B to Kolkata. Now, bus transport is not available for Delhi or Chennai. so , A who travels by bus goes to Hyderabad. D travels by boat and hence by (ii), did not go to

4. Sequential Order of things: In this sort of problems, some hints are given with respect to the request of event of specific occasions. The competitor is required to examine the given data, outline the right grouping and after that answer the problems correspondingly. 5. Selection based on given conditions: In such kind of problems, a couple of crucial criteria for determination of a gathering of things are given. The competitor needs to remember these conditions and make the required choice according to the headings given in every problem. 6. Family-based questions: In this kind of problems, some hints are given in regards to relationship among various individuals from a family, together with their professions, qualities, dresses, preferences and so on. The applicant is required to Delhi. So, D goes to Chennai. Now, only E remains. So, E goes to Delhi. It is clear that, i. E travelled to Delhi. Hence, answer is (c). ii. The correct combination is Delhi Bus. Hence, answer is (a). iii. The correct combination for D is Chennai boat. So, answer is (c). iv. The incorrect combination is E Aeroplane. Hence, the answer is (e). v. E travelled to Delhi by train. So, the answer is (b). 2: Study the following information carefully to answer the given question A. P, Q, R, S, T, U and V are sitting around a circle and are facing the centre. B. V is second to the left of R, who is to the immediate left of U. C. P is third to the left of T. D. Q is between S and T. i. Which of the following is false? a. P is the fourth to the right of T. b. V is to the immediate right of S . c. U is the third to the right of S . d. Q is the immediate left of S . e. None of these ii. Which of the following is true?

examine the entire data and after that answer the given problems accordingly. 7. Jumbled questions: This kind contains riddles which at the primary look appear to be excessively troublesome, making it impossible to comprehend, as they contain a considerable measure of jumbled data covering numerous viewpoints in the meantime. The competitor is required to work out the given data and plan clear, ordered information from the same in order to have the capacity to

answer the given problems. Model Problems : Study the following data and answer the questions given below it: Alka is older than Mala. Gopal is older than Mala but younger than Alka. Kapil is younger than Ram and Mala. Mala is older than Ram. i. Whose age is between Mala and Kapil? a. Gopal b. Ram c. Alka d. None of these ii. Who is the eldest? a. Alka b. Mala c. Kapil d. None of these Solution: Let us denote the five persons by the letter of their names, namely A, M, G, K and R. Then, A > M, A > G > M, R > K, M > K and M > R. combining all the above, A > G > M > R > K is obtained. i. Ram s age is between Mala and Kapil. So, answer is (b). ii. It is clear that, Alka is the eldest. So, answer is (a). �

a. R is fourth to left of Q . b. P is to the immediate right of V. c. S is second to the left of T. d. Q is second to the right of V. e. None of these iii. Which of the following pair has the first person sitting to the immediate left of the second person? a. QT b. RP c. VS d. SV e None of these iv. Which of the following is the positions of F? a. Fourth to the right of S. b. To the immediate left of R. c. Between P and T. d. To the immediate right of P. e. None of these. Solution: First of all mark the seven blank positions around a circle. Now , V is second to the left of R and R is to the immediate left of U. Mark their positions as shown below: Also, B is between S and T. Thus, S, Q, T sit together and occupy the three consecutive blank positions. Now, only one position remains blank between V and R, and this must be occupied by P. Now, S, Q, T may sit in any of the posi-

tions (S, Q, T) or (T, Q, S). But P is third to the left of T only when they sit in the order (S, Q, T). Thus mark their positions as shown below: i. Clearly, U is fourth to the right of S. So, (c) is false. Hence, the answer is (c). ii. R is third to the left of Q. So, (a) is false P is to the immediate right of V. So, (b) is true. S is second to the right of T. So, (c) is false . Q is second to the left of V. So, (d) is false. Hence, the answer is (b) iii. Clearly, only in the pair so, the first person s sits to the immediate left to the second person V. Hence the answer is (d). iv. Clearly, U s position is fourth to the right of D. (i) Fourth to the right of S. (ii) To the immediate right of R. (iii) Between R and T. (iv) Second to the right of P. Hence, the answer is (a).


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Find the speed of the train? QUADRATIC EQUATIONS

1 MARK QUESTIONS B.Laxminarayana Maths Senior Faculty Hyderabad 9849386253

4 MARKS QUESTIONS

10th Class Special

MULTIPLE CHOICE QUESTIONS PRACTICE QUESTION 2 MARKS QUESTIONS


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 18,  2018- 

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‘Heron, Wing Loong’ What are these? 1) Observe the following? 1. Winner of UN food and agriculture Organisation’s Future policy for Gold Award 2018 is Sikkim 2. The World’s first totally Organic agriculture state is Sikkim 3. The state that has highest consumption of chemical fertilizers is Sikkim 4. United Nation’s food and Agriculture organization headquarters are at Rome(Italy) 5. United Nation’s food and Agriculture organization headquarters are at Paris (France) Which of the following are true? A) Only 1 , 3 and 4 B) Only 2 , 3 and 4 C) Only 1 ,2 4 are true D) 1,2 , 3, 5 are true 2) Recently, in the October month International Disaster prevention day 2018 has been observed globally. Match the following about the day? 1. International Day for Disaster reduction a. 2015 2. Theme of International Disaster prevention Day 2018 b. 2005 3. India’s National Disaster response authority established in c. oct 13 4. Sendai framework on Disaster risk reduction prepared in d. reducing disaster Economic losses e. 2000 f. oct 24 A) 1-c,2-d,3-b,4-a B) 1-a,2-d,3-e,4-b C) 1-c,2-d,3-f,4-c D) 1-b,2-d,3-a,4-f 3) Match the following about the Persons in News? 1. Present principal Scientific adviser to the govt of India a. Sudhir Garg 2. Present head of estimates panel of parliament b. Maryse conde 3. Winner of New Academy prize in literature c. Emomoli Rahmon 4. New chairperson of national small industries corporation d. Murali Manohar Joshi 5. Present president of Tajikistan e. K. Vijay raghavan A) 1-e,2-d,3-c,4-b,5-a B) 1-d,2-a,3-c,4-e,5-d C) 1-e,2-d,3-b,4-a,5-c D) 1-e,2-c,3-d,4-a,5-b 4) Recently, the terms Heron, Wing Loong, MQ-9 Reaper and Sea Guardian are in news. What are these? A) Artificial Intelligence Systems B) Asteroid Landers C) Autonomous Seabed surveyors D) Drones 5) Match the following organizations established according to the years ? 1. Asian development bank a. 1984 2. United nations conference on disarmament b. 1923

3. International Criminal police organization(INTERPOL) c. 1932 4. Indian airforce d. 1874 5. Universal postal union e. 1966 A) 1-e,2-a,3-b,4-c, 5-d B) 1-a,2-b,3-c,4-d,5-e C) 1-b,2-a,3-c,4-e,5-d D) 1-e,2-d,3-c,4-b,5-a 6) Match the following? 1. World disabled day a. October 10 2. World Mental health day b. September 21 3. Indian Airforce day c. December 3 4. World Peace day d. October 8 5. World egg day e. October 12 A) 1-c, 2-a, 3-d, 4-b,5-e B) 1-a, 2-d,3-b, 4-e,5-c C) 1-d,2-a,3-c,4-e,5-d D) 1-b, 2-c, 3-a, 4-e,5-b 7) Special report on Global Warming of 1.50C released recently. With reference to key takeaways from the report, observe the following statements? 1. Rapid and far-reaching changes must take place in energy generation, land use, cities and industry to limit warming to 1.5oC 2. Limiting warming to 1.5oC brings a lot of benefits compared with limiting it to 2oC 3. This report clearly links lifestyle choices with warming A) 1,2 and 3 B) 1 and 2 C) Only 2 D) Only 3 8) Observe the following? 1. JIMEX-18, a joint maritime exercise between India and Japan 2. It began on October 7, at Visakhapatnam, Andhra Pradesh 3. This is the 4th edition of Japan-India Maritime exercise Which of the above are true? A) 1 and 3 B) 2 and 3 C) 1,2 and 3 D) 1 and 2 9) Match the following about Asian Para Games? 1. India position in total medal tally a. China 2. Top in total medal tally b. 2010 3. First para Asian games organized (Year) c. Jakarta, Indonesia 4. Host city of Asian Para games 2018 d. 43 5. Total nations participated e. 9 A) 1-d,2-c,3-b,4-a,5-e B) 1-e,2-c,3-b,4-a,5-e C) 1-e,2-a,3-b,4-c,5-d D) 1-d,2-a,3-b,4-c,5-e 10) Observe the following? According to the latest Agricultural census 1. The total number and area of medium as well as large landholdings declined in 2015-16 compared to 2010-11

India,China joint programme for Afghanistan India and China have launched their first joint programme for Afghanistan to train its diplomats. Indian Ambassador to Afghanistan, Vinay Kumar hosted 10 Afghan Diplomats who will be travelling to India for the 1st India-China joint training programme for Afghan diplomats under the aegis of the Trilateral Cooperation between India, China and Afghanistan. An understanding to launch a joint programme was reached during an informal summit between Prime Minister Narendra Modi and Chinese President Xi Jinping held in April at China's Wuhan city.

2. The total number and cumulative area of small land holdings showed an increase in 2015-16 compared to 2010-11 Which of the statements are correct? A) 2 Only B) Both 1 and 2 C) 1 Only D) Neither 1 nor 2 11) Name the economic theory propounded by Nobel prize economist Paul Romer? A) Endogenous growth theory B) Behavioural economical theory C) A symmetric informational theory D) Common pool resources theory 12) Observe the following? 1. India is the 3rd biggest consumer of crude oil 2. Globally the share of nuclear energy as an energy resource has increased in the past few years 3. Globally, the share of natural gas as an energy resource has increased in the past few years Which of the above statements are correct? A) 1 and 3 B) Only 3

For All Competitive exams

C) 1 and 3 D) 2 and 3 13) National Council for Vocational and Education training (NCVTE) is the new entity of the merging of which of the following two existing government regulatory institutions? 1. National skill development agency 2. National council of teachers 3. National industrial skill training institute 4. National council for vocational training A) 1 and 4 B) 2 and 3 C) 1 and 3 D) 2 and 4 14) Observe the following? 1. World’s highest airstrip is located in Daulat Beg Oldie, Ladakh 2. Trans Himalayan Mountain terrain biking expedition conducted by Indian airforce 3. The expedition team travelled from Ladakh to Arunachal Pradesh 4. The expedition was undertaken to commemorate 88th anniversary of IAF Which of the above are true? A) 1,2 and 3 B) 2,3 and4 C) 1 and 3 D) 3 and 4 15) Match the following? 1. World space week a. November 6-12 2. World disarmament week b. November 13-19 3. World antibiotic awareness week c. October 24-30 4. International week of Science and peace d. October 4-10 A) 1-d,2-c,3-b,4-a B) 1-b,2-a,3-d,4-c C) 1-a, 2-b,3-d,4-c D) 1-c, 2-a,3-c,4-b 16) Match the following? 1. India rank in Human Capital

V. Rajendra Sharma Faculty 9849212411

Index 2018 a. 147 2. India rank in the Global Hunger Index 2018 b. 28 3. India’s rank in the 2018 Oxfam world inequality index is c. 103 4. India’s rank in Visa’s 2018 Government e-Payment Adoption Ranking d. 115 Which of the above are true? A) 1-b,2-c,3-d,4-a B) 1-a,2-b,3-c,4-d C) 1-d,2-c,3-a,4-b D) 1-b,2-a,3-d,4-c 17) Match the correct themes for the International days? 1.World Mental Health Day a. Celebrating older human rights Champions 2. 2018 International Day of the Girl b. Municipal Solid Waste Management 3. 2018 International Day of Older Persons c. Young people and mental health in a Changing world 4. 2018 World Habitat Day d. With Her: A Skilled Girl Force e. Empower Girls: Before, during and after crises f. Psychological First Aid A) 1-c,2-d,3-a,4-b B) 1-f,2-e,3-a,4-b C) 1-f,2-d,3-c,4-b D) 1-c,2-e,3-c,4-b 18) Bioelectric medicine is in news recently. Which of the statements about it are correct? 1. It speeds nerve regeneration and improves the healing of a damaged nerve 2. It is implantable and bio degradable wireless device A) Only 1 B) Only 2 C) Both 1 and 2 D) Neither 1 nor 2 19) Match the persons to their new appointments? 1. Tushar Mehta a. chief economist of IMF 2. Gita Gopinath b. Deputy National Security advisor 3. R N Ravi c. Solicitor General of India 4. Madan Bhimrao d. 46th Chief Justice of India 5. Justice Ranjan Gogoi e. Executive chairman of National legal Services authority of India A) 1-c,2-a,3-b,4-e,5-d B) 1-d,2-e,3-a,4-b,5-c C) 1-e,2-a,3-b,4-d,5-c D) 1-a,2-b,3-c,4-e,5-d 1- c 7-a 13-a 19-a

2- a 8-d 14-a

ANSWERS 3-c 9-c 15-a

4-d 10-b 16-c

5-a 11-a 17-a

6-a 12-c 18-c


12 >∑Ts¡Tyês¡+ 18.10.2018 ôV’≤<äsêu≤<é

How many rectangles can be formed on a chess board? Example Problems: Type 1

Prepared by

Mr. K. Kumar

1) if 6 boys and 6 girls have to sit in a round circular music chair. So, that there is a girl between every 2 boys. Find the number of ways they can sit? b) 6! X 4! a) 6! X 5! d) 6! X 2! c) 6! X 3! Explanation : Circular permutation = n! (n – 1)! ∴ Number of ways = 6! (6-1)!=6! ×5! Ans: (a) 2) Find the number of ways in which 6 gents and 6 ladies be seated in a row. So that all the ladies sit together and all the gents sit together? b) 2(6!)2 a) 2(5!)2 c) 2(7!)2 d) 2(8!)2

Competitive Exams Special Arithmetic Explanation: The number of ways = 2(6!) (6!) = 2(6!)2 Ans (b) 3) What is the number of ways in which an ascending A.P, comprising three numbers can be formed from 1, 2, 3, 4, 5, 6 7, ? a) 8 b) 9 c) 10 d) 11 Explanation: The possible A.P types, For d = 1: (1, 2, 3), (2, 3, 4), (3, 4, 5), (4, 5, 6), (5, 6, 7) For d = 2: (1, 3, 5), (2, 4, 6), (3, 5, 7) For d = 3: (1, 4, 7) The number of required A.P is 9. Ans: (b)

Type – 2

4) How many three digit numbers can be formed by using the digits in 755628. If repetition is not allowed? a) 100 b) 120 c) 150 d) 180 Explanation: Number of digits n=5 r=5 Ans: (b)

So, 5 P3 =

5! 6 × 5 × 4 × 3 × 2! = 2! (5 − 3)!

= 6 × 5 × 4 × 3 = 360 360 three digit nmbers can be formed by using the digits in755628 5) There are 10 students in a batch. In how many ways can the first five ranks be getting in? a) 30000 b) 30240 c) 30500 d) 30600 Explanation: Number of students = 10. First 10 ranks have to be get = r = 5 n

Pr =

=

n ! 10 10! PS = (n − r )! (10 − 5 )!

10 × 9 × 8 × 7 × 6 × 5! 5!

Senior Faculty Hyderabad ph:9492956214

women out of 8 women can be formed in 7C4 x 8C4 ways

7 × 6 × 5× 4  8× 7 × 6× 5  ×  1 × 2 × 3 × 4  1× 2 × 3 × 4  35 × 70 = 2450 ways Ans: (a) 13) Find the no of parallelograms that can be formed from a set of four parallel lines intersecting from a set of four parallel lines intersecting another set of three parallel lines? a) 12 b) 24 c) 48 d) 18 That is,

= 10 × 9 × 8 × 7 × 6 = 30240 Value of

10

PS = 30240

360 three digit nmbers can be formed by using the digits in755628 Ans: (b)

Type – 3

6) Find the number of different words that can be formed from the word ‘SUCCEED’ a) 1390 b) 1400 c) 1320 d) 1260 Explanation: Number of letters = 7 = n Number of C = 2 = p Number of E = 2 = q

n! 7! 7 × 6 × 5 × 4 × 3 × 2 = = p ! q ! 2!2! 2!× 2 ×1 = 7 × 6 × 5 × 2 × 3 = 1260 Ans: (d) 7) The number of arrangements that can be made with the letters of the word ‘MATHS’. So, that letter M will occupy always the first place is? a) 3! b) 4! c) 5! d) 6! Explanation: Always M is in first place

∴ Number of ways = 4!

Ans: (b) 8) How many 3 – letter words with or without meaning, can be formed by using all the letters of the word ‘LOGORITHMS’, if repetition of letters is not allowed? a) 700 b) 720 c) 750 d) 760 Explanation: In ‘LOGORTHMS’. Total number of letter = 10 No’s

Out of 10 letters, 3 letter can be 10 × 9 × 8 × 7! formed 10 P3 = = 720 7! Ans: (d) 9) The number of arrangement of the word ‘CABLE’ So that the vowels always occupy odd positions is? a) 12 b) 18 c) 24 d) 36 Explanation: No of letters in ‘CABLE’ = 5 No’s No of vowels = (A, E) = 2 No’s

No of arranging vowels at any two odd places out of three = 3P2 Since 5 letters word has 3 odd places. And number of arranging 3 consonants on the remaining 3 places = 3!

∴ Required no of arrangements 3! = 3 P2 × 3!= × 3! 2! = 6 x 6 = 36 arrangements

Ans: (d) 10) What is the number of words formed from the letters of the word ‘JOKE’ so that the vowels and consonants alternate? a) 4 b) 8 c) 12 d) none of these Explanation: Word name: ‘JOKE’ Vowels : O, E, Consonants: J, K

Explanation : Required num ber = 4C2 × 3C2

can be transmitted =

9! 3!4!2!

9 × 8 × 7 × 6 × 5 × 4! = 9× 4×7 ×5 3 × 2 × 1× 2 × 1× 4! = 1260 Ans: (b) =

Type – 4

12) In how many different ways a group of 4 men and 4 women can be formed out of 7 men and 8 women? a) 2450 b) 1050 c) 117 d) 232 Explanation: 4 men out of 7 men and 4

4! 4 × 3 × 2 ×1 = =6 2!(4 − 2 )! 2!× 2!

C2 =

3! =3 1!(2 )!

3

4

C2 × 3C2 = 6 × 3 = 18

Ans: (d) 14) How many rectangles can be formed on a chess board? a) 1248 b) 1264 c) 1296 d) 1292 Explanation: There are 9 horizontal and 9 vertical lines on a chess board. Hence, the no of rectangles = 9C2x 9C2 Cr =

n! r !(n − r )!

C2 =

9! 9! 9 ×8× 7 = = = 36 2!(9 − 2 )! 2!× 7! 2!× 7!

n

∴ Possible arrangement

Beginning with consonant: JOKE, KOJE, JEKO, KEJO = 4 Numbers Beginning with vowel: OJEK, OKEJ, EJOK, EKOJ = 4 Numbers Required number = 4 + 4 = 8 numbers. Ans: (b) 11) Find the number of different signals that can be transmitted by arranging 3 yellow flags, 4 red flags and 2 blue flags on a pole. All the flags are used to transmit the signal. a) 1200 b) 1260 c) 1300 d) 1350 Explanation: Total number of flags = 9. Number of different signals which

C2 =

4

9

∴ 9C2 × 9C2 = 36 × 36 = 362 = 1296

Ans: (c) 15) Find the number of combinations of four things selected out of 8 things? a) 50 b) 60 c) 70 d) 80 n! n Cr = r !(n − r )!

C4 =

8

8! 8 × 7 × 6 × 5 × 4! = = 70 4!(8 − 4 )! 4!× 4 × 3 × 2 ×1

Explanation: Out of 8 things 4 things selected = 8C4 Ans: (c )


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The student has to concentrate on.. the theory of one dimensional elastic Dr. Ch.Ramakrishna collision. Subject Expert, ● State the law of conservation of energy and verify it in case of a freely falling Hyderabad. body. What are the conditions under which the law of conservation of energy is applicable? IPE Overall Strategy: The total syllabus of 1st year can ● a) State and prove parallel axes theorem. be divided into 3 parts. b) For a Part-II Part-III Part-I thin flat ✓ Physical world ✓ Oscillations ✓ Thermal circular properties of ✓ Units and measurements ✓ Gravitation disk, the matter radius of ✓ Motion in a straight line ✓ Mechanical properties of ✓ Thermodynamics gyration ✓ Motion in a plane about a solids ✓ Kinetic theory ✓ Laws of motion diameter Mechanical ✓ ✓ Work, energy and power as axis is k. properties of ✓ System of particles and If the disk fluids rotational motion is cut along a diameter AB as shown in to two ❒ First, the student has to concentrate on Long Answer Questions (LAQ) i.e. equal pieces, then find the radius of Section-C of question paper. We can gyration of each piece about AB. expect one question from each part of ● a) State and prove perpendicular axes theorem. above 3 parts. B b) If a thin circular ring and A ❒ From part 1, the important questions may be like.. a thin flat circular disk of i) State and prove conservation of same mass have same moment of energy inertia about their respective ii) Newton's laws and their diameters as axes. Then find the applications ratio of their radii. iii) Conservation of Angular momen- ● State and prove the principle of conservation of angular momentum. tum and linear momentum. Explain the principle of conservation ❒ From part 2, the important questions may be like.. of angular momentum with examples. i) Time period simple pendulum Part-II derivation ii) Gravitational potential energy, vari- ● Define simple harmonic motion. Show that the motion of (point) projection of ation of g, determination of univea particle performing uniform circular rsal gravitational constant G motion, on any diameter, is simple iii) Determination of Young's modulus, harmonic. Bernoulli's theorem, Viscosity. ❒ From part 3, ● Show that the motion of a simple i) Newton's laws of cooling pendulum is simple harmonic and ii) Carnot Engine & refrigerator hence derive an equation for its time iii) Pressure of an ideal gas. period. What is seconds pendulum? ● State Bernoulli's principle. From conIMPORTANT LONG servation of energy in a fluid flow ANSWER QUESTIONS through a tube, arrive at Bernoulli's equation. Give an application of Part-I Bernoulli's theorem. ● a) State newton's second law of ● Define coefficient of viscosity. Explain motion. Hence derive the equation Stoke's law and explain the conditions of motion F = ma from it. under which a rain drop attains b) A body is moving along a circular terminal velocity 'v1'. Give the path such that its speed always expression for 'v1'. remains constant. Should there be a Part-III force acting on the body? ● Define angle of friction and angle of ● State Boyle's law and Charle's law. repose. Show that angle of friction is Hence, derive ideal gas equation. equal to angle of repose for a rough Which of the two laws is better for the inclined plane. A block of repose for a purpose of thermometry and why? rough inclined plane. A block of mass 4 ● Explain thermal conductivity and coefficient of thermal conductivity. A kg is resting on a rough horizontal copper bar of thermal conductivity 401 plane and is about to move when a W/mK has one end at 104°C and the horizontal force of 30 N is applied on other end at 24°C. The length of the bar it. If g = 10 ms−2. Find the total contact is 0.10 m and the cross-sectional area is force exerted by the plane on the block. 1.0×10−6 m2. What is the rate of heat ● Develop the notions of work and kinetic energy and show that it leads to conduction, along the bar? work-energy theorem. ● State and explain Newton's law of cooling. State the conditions under ● What are collisions? Explain the possible types of collisions? Develop which Newton's law of cooling is

INTERMEDIATE INTERMEDIATE S pe c i a l Physics Physics

applicable. A body cools down from 60°C to 50°C in 5 minutes and to 40°C in another 8 minutes. Find the temperature of the surroundings. Explain reversible and irreversible processes. Describe the working of Cornot engine. Obtain an expression for the efficiency. State second law of thermodynamics. How is heat engine different from a refrigerator? Derive an expression for the pressure of an ideal gas in a container from Kinetic Theory and hence give Kinetic Interpretation of Temperature.

IMPORTANT SHORT ANSWER QUESTIONS

● ●

Part-I ●

● ●

A parachutist flying in an aeroplane jumps when it is at a height of 3 km above ground. He opens his parachute when he is about 1 km above ground. Describe his motion. A bird holds a fruit in its beak and flied parallel to the ground. It lets go of the fruit at some height. Describe the trajectory of the fruit as it falls to the ground as seen by (a) the bird (b) a person on the ground. Show that the maximum height reached by a projectile launched at an angle of 45° is one quarter of its range. State parallelogram law of vectors. Derive an expression for the magnitude and direction of the resultant. What is relative motion? Explain it. Show that a boat must move at an angle of 90° with respect to river water in order to cross the river in a minimum time? Define unit vector, null vector and position vector. � � � � If | a + b |=| a − b | , prove that the � � angle between a and b is 90°. Show that the trajectory of an object thrown at certain angle with the horizontal is a parabola. Explain the terms the average velocity and instantaneous velocity. When are they equal? Show that the maximum height and range of a projectile are U 2 Sin 2θ and U 2Sin 2 2θ respectively 2g

Part-II ●

● ●

g

where the terms have their regular meanings. A stone of mass 0.1 kg is thrown vertically upwards. Give the magnitude

and direction of the net force on the stone (a) during its upward motion ,(b) during the downward motion, (c) at the highest point where it momentarily comes to rest. Define the terms momentum and impulse. State and explain the law of conservation of linear momentum. Give examples. Why are shock absorbers used in motor cycles and cars? Explain the terms limiting friction, dynamic friction and rolling friction. Explain advantages and disadvantages of friction. Mention the methods used to decrease friction. State the laws of rolling friction. Why is pulling the lawn roller preferred to pushing it? What is potential energy? Derive an expression for the gravitational potential energy. A lorry and a car moving with the same momentum are brought to rest by the application of brakes which provide equal retarding forces. Which of them will come to rest in shorter time? Which will come to rest in less distance? Distinguish between conservative and non-conservative forces with one example each. Show that in the case of one dimensional elastic collision, the relative velocity of approach of two colliding bodies before collision is equal to the relative velocity of separation after collision. Distinguish between centre of mass and centre of gravity. Explain about the centre of mass of Earth-Moon system and its rotation around the sun. Define vector product. Explain the properties of a vector product with two examples. Define angular velocity ( ω ). Derive v = r ω . Define angular acceleration and torque. Establish the relation between angular acceleration and torque.

Define simple harmonic motion? Give two examples. What is Phase? Discuss the phase relations between displacement velocity and acceleration in simple harmonic motion. Obtain an equation for the frequency of oscillation of spring of force constant k to which a mass m, is attached. Derive the expressions for displacement, velocity and acceleration of a particle executing SHM. State Kepler's laws of planetary motion. Derive the relation between acceleration due to gravity (g) at the surface of a planet and gravitational constant (G). How does the acceleration due to gravity 'g' change for the same values of height (h) and depth (d).

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What is Orbital velocity ? Obtain an Expression for it. What is escape velocity ? Obtain an expression for it. What is a Geostationary satellite? State its uses. Define Hooke's law of elasticity, proportionality limit, permanent set and breaking stress. Define modulus of elasticity, stress, strain and Poisson's ratio. Describe the behaviour of a wire under gradually increasing load. What is atmospheric pressure and how is it determined using Barometer? What is gauge pressure and how is a manometer used for measuring pressure differences? State Pascal's law and verify it with the help of an experiment. Explain hydraulic lift and hydraulic brakes. What is Hydrostatic paradox? Explain how pressure varies with depth. What is Torricelli's law? Explain how the speed of efflux is determined with an experiment. What is Venturi-meter? Explain how it is used. What is Reynold's number? What is it's significance? Explain dynamic lift with examples. Explain Surface Tension and Surface energy. Explain how surface tension can be measured experimentally.

Part-III ●

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Explain Celsius and Fahrenheit scales of temperature. Obtain the relation between Celsius and Fahrenheit scales of temperature. Pendulum clocks generally go fast in winter and slow in summer. Why? In what way is the anomalous behaviour of water advantageous to aquatic animals? Explain conduction, convection and radiation with examples. Write a short notes on triple point of water. Explain how Cp of a gas is greater than Cv? State and explain first law of thermo dynamics. Define two principal specific heats of a gas Which is greater and why? Derive the relation between the two specific heat capacities of a gas on the basis of first law of thermodynamics. Obtain an expression for the work done by and ideal gas during isothermal change. Obtain an expression for the work done by an ideal gas during adiabatic change and explain. Compare isothermal and an adiabatic processes. How specific heat capacity of mono atomic, diatomic and poly atomic gases can be explained on the basis of Law of equipartition of energy?

The student must prepare all VSAQs of all chapters to get full marks.


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