100525 + Interview Questions in GENERAL QA IN GENERAL AWARENESS

1.	Who among the following had authored the book, 'At the Feet of Mahatma Gandhi'? (a) JB Kripalani (b) Rajendra Prasad (c) Jayaprakash Narayan (d) Vinoba Bhave
Answer» (b) Rajendra Prasad

Discussion

2.	Why did the Indian sepoys refuse to use the enfield rifles and cartridges?
Answer» The rumour that the cartridge in the newly supplied Enfield rifles were greased with the fat of cows and pigs provoked the sepoys. It wounded the religious sentiments of the Hindu and Muslim soldiers. So the sepoys refused to use the enfield rifles and cartridges.

Discussion

3.	What were the peculiarities of the agitation during the Swadeshi Movement?
Answer» Boycott of foreign goods and consumption of indigenous products. Foreign goods were collected and burnt publicly.

Discussion

4.	Ask the publishers to send you their latest _____ of English text-books. A) catalogueB) prospectus C) brochure D) pamphlet E) booklet
Answer» Correct option is A) catalogue

Discussion

5.	Which of the following writers did not have a profound influence on the thinking of Mahatma Gandhi? (a) Tolstoy (b) Thoreau (c) Ruskin (d) Marx
Answer» Marx writers did not have a profound influence on the thinking of Mahatma Gandhi.

Discussion

6.	When did Mr. Attlee, Prime Minister of England, announce the transfer of power to the Indians? (a) February, 1947 (b) August, 1947 (c) June, 1948 (d) June, 1949
Answer» (c) June, 1948

Discussion

7.	Who were the early leaders that played a main role in making the common people aware of the economic policy of the British that impoverished India?
Answer» DadabhaiNaoroji Gopal Krishna Gokhale Ramesh Chandra Dutt

Discussion

8.	A new system of quality control was ________ to overcome the defects in the firm’s products. A) installed B) inaugurated C) introduced D) inserted E) invested
Answer» Correct option is C) introduced

Discussion

9.	Who proposed the Preamble before the Drafting Committee of the Constitution?(a) Jawaharlal Nehru (b) B.R. Ambedkar (c) B.N. Rao (d) Mahatma Gandhi
Answer» (a) Jawaharlal Nehru

Discussion

10.	Inflation is very hard on people of ________ means. A) scarce B) impoverished C) limited D) needy E) shortened
Answer» Correct option is C) limited

Discussion

11.	Famous A) well off B) needy C) rich D) well-known
Answer» Correct option is D) well-known

Discussion

12.	Name the parties in licensing system.
Answer» A licensing agreement is a contract between two parties (the licensor and licensee) in which the licensor grants the licensee the right to use the brand name, trademark, patented technology, or ability to produce and sell goods owned by the licensor.

Discussion

13.	Name five electronic goods producing centres of India:
Answer» Bangalore, Hyderabad, Delhi, Mumbai, Chennai. (Others : Kolkata, Kanpur, Pune ,Licknow, colmbatore)

Discussion

14.	Find the word which is out of the logic list:A) shortage B) riches C) wealth D) affluence
Answer» Correct option is A) shortage

Discussion

15.	Find the word which is out of the logic list:A) wealthyB) penniless C) broke D) needy
Answer» Correct option is A) wealthy

Discussion

16.	(2) Do you agree that Indian democracy has become profound?
Answer» Politics in India take place within the framework of its constitution, because India is a federal parliamentary democratic republic, in which the President of India is the head of state and the Prime Minister of India is the head of the government. Lok Sabha, which represents the people of India as a whole.

Discussion

17.	_____ him do some of the work. A) Tell B) Make C) Allow D) Ask
Answer» Correct option is B) Make

Discussion

18.	Find the word which is out of the logic list:A) battle B) fight C) settlement D) combat
Answer» Correct option is C) settlement

Discussion

19.	What is the annual production of cement in the country at present?
Answer» The annual production of cement in the country at present is 100 million tones.

Discussion

20.	It is probably about time we _____ the car serviced. A) have B) having C) had D) to have
Answer» Correct option is C) had

Discussion

21.	Find the antonym of word:Oppose A) combat B) resist C) support D) fight
Answer» Correct option is C) support

Discussion

22.	I wish that I _______ with you last summer. A) went B) could go C) have gone D) could’ve gone
Answer» Correct option is D) could’ve gone

Discussion

23.	If those two people _____ leave, the Whole firm would probably collapse. A) must B) are to C) were to D) had to
Answer» Correct option is C) were to

Discussion

24.	Powerful though they were, they never _____ to challenge the authority of the King. A) will have B) dared C) would have D) could’ve been
Answer» Correct option is B) dared

Discussion

25.	Short note on the aircraft industry in India.
Answer» i. India has not yet entered into civil aircraft industry. ii. But for defence requirement we have developed aircraft industry at Bangalore, Koraput , Nasik, Hyderabad, Kanpur and Lucknow, each place specializes in the manufacture of a certain type of aircraft. iii. India manufactures jet trainer planes and helicopters also.

25.

Short note on the aircraft industry in India.

Answer»

i. India has not yet entered into civil aircraft industry.

ii. But for defence requirement we have developed aircraft industry at Bangalore, Koraput , Nasik, Hyderabad, Kanpur and Lucknow, each place specializes in the manufacture of a certain type of aircraft.

iii. India manufactures jet trainer planes and helicopters also.

Discussion

26.	Short note on the industry connected with road transport.
Answer» Road transport is far more wide spread than the railways. i. At present commercial vehicles like trucks, passenger buses, cars, motor cycles, scooter etc. are manufactured in large numbers. ii. India is second larges producers of three wheelers in the world. iii. Tractors and bicycles are also manufactured in large number/. iv. India currently produces about 15 million bicycles and 3.8 million scooter and motorcycles in a year. v. The industry is widely distributed around Delhi, Gurgaon, Mumbai, Puna, Chennai, Kolkata, Lucknow, Indore, Hyderabad, Jamshedpur and Bangalore.

26.

Short note on the industry connected with road transport.

Answer»

Road transport is far more wide spread than the railways.

i. At present commercial vehicles like trucks, passenger buses, cars, motor cycles, scooter etc. are manufactured in large numbers.

ii. India is second larges producers of three wheelers in the world.

iii. Tractors and bicycles are also manufactured in large number/.

iv. India currently produces about 15 million bicycles and 3.8 million scooter and motorcycles in a year.

v. The industry is widely distributed around Delhi, Gurgaon, Mumbai, Puna, Chennai, Kolkata, Lucknow, Indore, Hyderabad, Jamshedpur and Bangalore.

Discussion

27.	Statement : According to the latest reserch - "Few people openly admit to holding racist beliefs on the basis of color but many psychologists claim most of us are nonetheless unintentionally racists. We hold, what are called "implicit biases" One the basis of the information provided in the above statement, which of the following defines the term "implicit bias" most accuratly ? (i) A slight automatic preference for white people over black people. (ii) Preference for white people over black people. (iii) Discriminating against a particular community on the basis of colour.A. only (i)B. both (ii) and (iii)C. Only (ii)D. only (iii)
Answer» Correct Answer - A Most accurately defines term "implicit bias" as the word automatic was used which is similar to the term "unintentionally racist" used by researchers.

Discussion

28.	Statement : A warning in a train compartment -"To stop train, pull chain . Penalty for improper use Rs 500 . " Assumption I. Some people may misuse the chain. II. On certain occasions, people may want to stop a running train.A. if only assumption I is implicitB. if only assumption II is implicitC. if either I or II is implicitD. if both I and II are implicit
Answer» Correct Answer - D It is clear that train can be stopped by pulling the chain. There is a penalty for improper use. So, some people may misuse that chain. So , assumption I and II both are implicit.

Discussion

29.	Mention the processes that induce land degradation in India?
Answer» The land serves as storage of water and materials for plants and other living micro macro organisms. Pressure on agricultural land increases not only due to the limited availability but also by deterioration of quality of agriculture land due to soil erosion, water logging, salinisation and alkalisation which is called degradation. The land degradation ultimately affect on agricultural productivity. In addition to degradation by natural process such as gullied or ravenous land deserted or coastal sands, barren rocky area land degradation is caused by man. These have caused water logged and marshy areas, land affected by salinity and alkalinity. Degraded shifting cultivation area and under plantation crops, degraded forests, degraded pastures and mining and industrial waste lands.

Discussion

30.	Explain the causes and problems of Slums?
Answer» Slums are in environmentally unsuited and degraded area. Houses in slums are decaying, poor hygienic conditions, poor ventilation. Lack of basic amentities like drinking water, light and toilet facilities. They are overcrowded having narrow street pattern prone to serious hazards from fire. People living in slums are poor. Therefore problems are common. They arc the undernourished, prone to different types of diseases and illness. They can not afford to give proper education to their childern. The Poverty makes them valnerable to drug abuse alcoholism, critic, vandalism and ultimately they face social exclusion. Causes for the slums: City characterized by substandard housing and dirt Most are inhabited by poor people lacking reliable sanitation. Scarcity of clean water reliable electricity, timely law enforcement and other basic services. Slum residences are poorly built, deteriorated building.

30.

Explain the causes and problems of Slums?

Answer»

Slums are in environmentally unsuited and degraded area. Houses in slums are decaying, poor hygienic conditions, poor ventilation.
Lack of basic amentities like drinking water, light and toilet facilities.
They are overcrowded having narrow street pattern prone to serious hazards from fire.

People living in slums are poor. Therefore problems are common.

They arc the undernourished, prone to different types of diseases and illness.
They can not afford to give proper education to their childern.
The Poverty makes them valnerable to drug abuse alcoholism, critic, vandalism and ultimately they face social exclusion.

Causes for the slums: City characterized by substandard housing and dirt

Most are inhabited by poor people lacking reliable sanitation.
Scarcity of clean water reliable electricity, timely law enforcement and other basic services.
Slum residences are poorly built, deteriorated building.

Discussion

31.	Explain the development and distribution of Iron and steel industry in India?
Answer» Importance: The Iron and Steel industry is described as a basic Industry. Iron and Steel supplied by this industry such as machineries, irrigation projects, ship building, power projects, construction of bridges, buildings, transport equipment, machine tools and so on. The Production and Consumption of Iron and Steel is an index level of the economic develpoment of a country. Distribution: There are nine major Iron and Steel industries in India. Tata Iron and Steel Company (TISCO), Jamshedpur :- It was established in 1907. It was the first largest steel plant of the country. Vishveswariah Iron and Steel Co. Ltd (VISL) Bhadravathi 11 was first established in 1923 by the princely state of Mysore located at Bhadravathi in Shimoga district of Karnataka. India Iron and Steel Company Ltd (IISCO) Bunpur:- It was established in 1919 at Bumpur in West Bengal. It was the second largest integrated steel plant after Tata Iron and Steel Ltd. Hindustan Steel Company Ltd, Rourkela :- It was completed with the German collaboration. The steel plant was comminssioned in 1955. Bhilai Steel Plant :- It has the largest steel production plant of the public sector. It is located at Bilai near Raipur in Chhatisgarh. Durgapur Steel Plant :- The steel plant in Durgapur in West Bengal was established with British collaboration and was commissioned in 1956. Salem Steel Plant:- It is located at Salem in TamilNadu and the production was started from 1982. Vishakapatnam Steel Plant :- Established by National Ispat Nigam Ltd in Andhra Pradesh. New Steel Plants Some private sectors plants are. Jindal Vijaynagar Steel Ltd (JVSL):- This steel plant is located at Tomagal, Bellary district in Karnataka. Essar Steel Ltd (ESL):- It is situated at Hazira in Gujarat. Ispat Insutries Ltd (IIL):- It is situated at Dovi, Ratnagiri district of Maharashtra. Neelachal Ispat Nigam Ltd (NINL) :- It is a new steel plant located at Dubai, Odisha. Mini Steel Plants :- Presently, 199 lincensed electric ore furnace units with an installed capacity of 7.8 million tonnes have been commissioned and hence started commercial production.

31.

Explain the development and distribution of Iron and steel industry in India?

Answer»

Importance:

The Iron and Steel industry is described as a basic Industry.
Iron and Steel supplied by this industry such as machineries, irrigation projects, ship building, power projects, construction of bridges, buildings, transport equipment, machine tools and so on.
The Production and Consumption of Iron and Steel is an index level of the economic develpoment of a country.

Distribution: There are nine major Iron and Steel industries in India.

Tata Iron and Steel Company (TISCO), Jamshedpur :- It was established in 1907. It was the first largest steel plant of the country.
Vishveswariah Iron and Steel Co. Ltd (VISL) Bhadravathi 11 was first established in 1923 by the princely state of Mysore located at Bhadravathi in Shimoga district of Karnataka.
India Iron and Steel Company Ltd (IISCO) Bunpur:- It was established in 1919 at Bumpur in West Bengal. It was the second largest integrated steel plant after Tata Iron and Steel Ltd.
Hindustan Steel Company Ltd,
Rourkela :- It was completed with the German collaboration. The steel plant was comminssioned in 1955.
Bhilai Steel Plant :- It has the largest steel production plant of the public sector. It is located at Bilai near Raipur in Chhatisgarh.
Durgapur Steel Plant :- The steel plant in Durgapur in West Bengal was established with British collaboration and was commissioned in 1956.
Salem Steel Plant:- It is located at Salem in TamilNadu and the production was started from 1982.
Vishakapatnam Steel Plant :- Established by National Ispat Nigam Ltd in Andhra Pradesh.
New Steel Plants Some private sectors plants are.
Jindal Vijaynagar Steel Ltd (JVSL):- This steel plant is located at Tomagal, Bellary district in Karnataka.
Essar Steel Ltd (ESL):- It is situated at Hazira in Gujarat.
Ispat Insutries Ltd (IIL):- It is situated at Dovi, Ratnagiri district of Maharashtra.
Neelachal Ispat Nigam Ltd (NINL) :- It is a new steel plant located at Dubai, Odisha.
Mini Steel Plants :- Presently, 199 lincensed electric ore furnace units with an installed capacity of 7.8 million tonnes have been commissioned and hence started commercial production.

Discussion

32.	The mushrooming of business schools in the country is a cause for shortage of faculty With Ph.D qualification. In addition, the higher pay and generous fringe benefits given by industry has encouraged qualified people to not seek academic positions. Which of the following statements, if true, would tend to STRENGTHEN the argument?A. The average salary for industry positions in Gujara,t is more than the average salary for faculty positions in some business schools in Ahmedabad by around 30%B. The average salary for industry positions in Gujarat is less than the average salary for faculty positions in a top business school in Ahmedabad by around 30%C. The average salary for recent Ph. D graduates in the industry is 20% higher than that in academicsD. The rate of growth of salaries for the industry positions has been higher than the rate of growth of salaries for academic positions for the past three years
Answer» Correct Answer - c In the question, the argument gives information above the country but the statements (a) and (b) are about the state Gujarat only which is irrelevant. In statement ( d) the information about rate of growth of salaries is given. Only statement ( c) implies about the average salary of Ph.D graduate. Hence the correct option is (c).

Discussion

33.	Statement : Should all the electricity state boards be privatized in india ? Arguments I. No this will increases the grievances of the people. II. Yes, it will check the growing menace of power theft which has resulted in annual pilferage of a huge amount
Answer» Correct Answer - B Arguments I is not strong because it does not tell that why the grievances of people will increases. Arguments II is strong because it will reduce the power theft which has resulted in a huge amount of losses.

Discussion

34.	Statement : Should be private companies be allowed to operate passenger train services in india ? Arguments I. Yes, this will improve the quality of service in indian railways as it will have to face severe competition. II. No, the private companies may not agree to operate in the non-profitable sectors.
Answer» Correct Answer - A Arguments I strong because competition increases the quality of service. From the argument II it is not clear that railways is a non-profitable sector and private companies are also operating in non-profitable sectors. So, arguments II is not strong.

Discussion

35.	Statement: The captain amarinder singh-led government in Punjab has announced free education for girls in government shcools and colleges from nursery to PhD. (I) Good social welfare law. It is initially for girls as they are comparatively disadvantaged. hopefully it will soon be followed by free education for everyone. (II) It is gender biased as if a poor or average person wants to educate his son for higher education he has to pay higher bills. if you are introducing a law/scheme/bills under no circumstance it should not favour any particular gender, if they are really concerned about education. (III) Do not differentiate a poor or average person on gender. A poor boy or man should also get free education as well. Which of the following arguments holds strong for the given statement ?A. Only IIB. Only IIIC. only II and IIID. only I and II
Answer» Correct Answer - C For I-this arguments does not holds strong because this initiatives is for girls to get benefits initially but it is not like that education will be free for everyone. For II - this arguments also holds strongs because a law/scheme or bill should not be for any particular gender but it should be for the who really need it. For III- This is also strong because gender should not be the criterion for the free education. it is the poor who should get the benefits.

Discussion

36.	Statement: Many major auto makers will increase the prices of their vehicles by 7 percent from next month, mainly to offset higher input and operational costs. Which of the following arguments would weaken the facts given in the statement?A. The largest auto maker in the contry, Verontee had failed to make any profit when pnces for its vehicles were increased by almost 4 per centB. Operational and input costs continue to be 85 per cent of the total costs of the vehiclesC. Both input and operational costs. were gradually increased by the government to avoid sudden transit losses to the companiesD. At any given time, a price rise of more than 5 per cent definitely leads to substantial decrease m sales of the vehicles
Answer» Correct Answer - d Clearly option (d) would contradict the facts given in statement because profits will reduce alongwith reduction in sales.

Discussion

37.	Statement Should the admission to professional courses in India br given only on merit without any concession to any particular group of students ? Argument I. Yes, this will improve the quality of the professionals as they will be able to complete the courses successfully. II No, this will keep large number of socially and economically backward students out of the reach of the professional courses.A. if only argument I is strongB. if only argument II is strongC. if either l or ll strongD. if neither I nor II is strong and
Answer» Correct Answer - b Our country seaks to support educationally and economically backward classes for their overall growth and development. Therefore, argument I is not strong, m Indian context.

Discussion

38.	Statement : The cost of manufacturing cars in state A is thirty per cent less than the cost of manufacturing cars in state B. Even after transportation fee for the differential distances of states A and B and the interstate taxes, it. is cheaper to manufacture cars in state B than state A for selling these cars in State C. Which of the following supports the conclusion drawn in the above statement?A. The cost of transportation from state A to state C is more than thirty per cent of the production cost.B. The production costs of cars m state B are lower m comparison to state A.C. Only Entry tax at state C is more for the products originated in state AD. The total of transportation cost of cars from state B to state C and entry tax of cars at state C is less than thirly per cent of the production cost of cars in state B.
Answer» Correct Answer - d Data given in conclusion (e) is in favour of findings given in the statement.

Discussion

39.	A black compound (A) is solid state is fused with KOH with `KClO_3`.The aqueous extract of fused mass is green colour solution (B).On passing `CO_2` gas through it pink colour of ( C) is noticed along with some black insoluble mass of (A).The pink coloured solution is decolourised by `Fe^(2+)` in acidic medium.What is oxidation state of central metal in ( C).
Answer» Correct Answer - 7 `underset((A))(3MnO_2)+6KOH+KCIO_3oversetDeltatounderset((B))(3K_2MnO_4)+KCl+3H_2O` In presence of `CO_2`, the medium becomes acidic. `3MnO_4^(2-)+4H^(+)toMnO_2 + 2MnO_4^(-)+2H_2O` `underset((C ))(MnO_4^-)+5Fe^(2+)+8H^(+)toMn^(2+)+5Fe^(3+)+4H_2O`

Discussion

40.	Consider the following chemical reaction and the corresponding kinetic data showing the initial reaction rate as a function of the initial concentrations of the reactions : `H_3AsO_4 (aq)+2H_3O^(+)(aq)+3l^(-)(aq)toHAsO_2(aq)+l_3^(-)(aq)+4H_2O(liq)` `{:("Initial Rate"xx10^(-5)(M//sec),[H_3AsO_4],[H_3O^(+)],[I]),(3.7,0.001,0.01,0.10),(7.4,0.001,0.01,0.20),(7.4,0.002,0.01,0.10),(3.7,0.002,0.005,0.20):}` Using the data, establish the correct reaction composite order.
Answer» Correct Answer - 4 Assume rate law `r=K[H_3AsO_4]^(x)[H_3O^(+)]^(y)[I^(-)]^z` Solving by the help of various experiments x=1 y=2 z=1 total order =4

Discussion

41.	The oxidation number of Cr in the product of alkaline oxidative fusion of `FeCr_2O_4` is
Answer» Correct Answer - 6 `4FeCr_2O_4+16NaOH+7O_2to8Na_2CrO_4+2Fe_2O_3+8H_2O` Let the oxidation state of Cr in `CrO_4^(2-)` is x. So x+4(-2)=-2 or x=6

Discussion

42.	Match List I with List II and select the correct answer using the code given below the lists `:` `{:("List-1",,,"List"-II),((a)"Argentite",,,"(1)Halide ore of magnesium"),((b) "Cuprite ",,,(2)"Carbonate ore of iron"),((c )"Siderite",,,(3)"Oxide ore of copper"),((d)"Carnallite",,,(4)"Sulphide ore of silver"):}` Code `:`A. `{:(a,b,c,d),(4,3,2,1):}`B. `{:(a,b,c,d),(1,2,3,4):}`C. `{:(a,b,c,d),(2,3,4,1):}`D. `{:(a,b,c,d),(3,4,1,2):}`
Answer» Correct Answer - A Argentite `toAg_2S` , Cuprite`toCu_2O`, Siderite `toFeCO_3` , Carnalite `toKCl.MgCl_2. 6H_2O`

Discussion

43.	The value of \(\frac{PV}{T}\) for one mole of an ideal gas is nearly equal to(a) 2 Jmol-1K-1(b) 8.3 Jmol-1K-1(c) 4.2 Jmol-1K-1(d) 2 cal mol-1K-1
Answer» (d) 2 cal mol^-1K^-1 The value of\(\frac{PV}{T}\) for one mole of an ideal gas = gas constant = 2 cal mol^-1K^-1.

43.

The value of \(\frac{PV}{T}\) for one mole of an ideal gas is nearly equal to(a) 2 Jmol-1K-1(b) 8.3 Jmol-1K-1(c) 4.2 Jmol-1K-1(d) 2 cal mol-1K-1

Answer»

(d) 2 cal mol^-1K^-1

The value of\(\frac{PV}{T}\) for one mole of an ideal gas = gas constant = 2 cal mol^-1K^-1.

Discussion

44.	In a regular polygon of n sides, each corner is at a distance r from the center . Identical charges are placed at ( n-1) corners . At the center, the intensity is E and the potential is `V`. The ratio ` V//E` has magnitude .A. nrB. `(n-1)r`C. `(n-1)//r`D. `r(n-1)//n`
Answer» Correct Answer - B `V=(n-1)(KQ)/(r), E=(KQ)/(r^(2))rArr V/E=(n-1)r`

Discussion

45.	Eight point charges are placed at the corners of a cube of edge a as shown in figure. The work done in disassembing this system of charges will be- A. `(q^(2))/(4pi epsilon_(0)a)`B. `(q^(2)sqrt(3))/(4pi epsilon_(0)a)`C. `(12q^(2))/(4pi epsilon_(0)a)`D. `(5.824q^(2))/(4pi epsilon_(0)a)`
Answer» Correct Answer - D `U = (k(q)(-q))/(a) xx 12 +(kq^(2))/(asqrt(2)) xx 12 +(k(q)(-q))/(qsqrt(3)) xx 4` `=(5.824 q^(2))/(4pi epsilon_(0)a)`

Discussion

46.	Charges `+q` and `-q` are located at the corners of a cube of side as show in the figure. Find the work done to separate the charges to infinite distance
Answer» Correct Answer - `W=5.824[q/(4pi in_(0) a)]` For potential energy of the system of charges total number of charge pairs will be `.^(8)C_(2)` or `28` of these `28` pairs 12 unlike charges are at a separation a, `12` like charges are at a `sqrt(2)` a and `4` unlike charges are at separation `sqrt(3)a`. Therefore, the potential energy of the system. `U = (1)/(4pi epsilon_(0)) [((12)(q)(-q))/(a)+((12)(q)(q))/(sqrt(2)a)+((4)(q)(-q))/(sqrt(3)a)]` `= - 5.824 ((1)/(4pi epsilon_(0)).(q^(2))/(a))` The binding energy of this system is therefore, `\|U\| = 5.824((1)/(4pi epsilon_(0))(q^(2))/(a))` So, work done by external forces in diassembling, this system of charges is `W = 5.824 ((1)/(4 pi epsilon_(0)).(q^(2))/(a))`

Discussion

47.	A charge `+Q` is fixed at the origin of the co-ordinate system while a small electric dipole of dipolement `vecp` pointing away from the charge along the x-axis is set free from a point far away from the origin. (a) Calculate the K.E. of the dipole when it reaches to a point (d, 0). (b) Calculate the force on the charge `+Q` at this moment.
Answer» Correct Answer - (i) `KE=(qP)/(4pi in_(0) d^(2))` (ii) `vec(F)=(pq)/(2pi in_(0) d^(3)) hat(i)` (i) Applying energy conservation principle, increase in kinetic energy of the dipole=decrease in electrostatic potential energy of the dipole. `:.` KE of dipole at distance d from origin `= U_(1)-U_(f)` `rArr KE = 0 - (vec(p).vec(E)) = vec(p).vec(E) = (phat(i)).((1)/(4pi epsilon_(0)).(q)/(d^(2))l) = (qp)/(4pi epsilon_(0) d^(2))` (ii) Electronic field at origin due to the dipole. `vec(E)=1/(4pi epsilon_(0))(2p)/d^(3)hat(i) (vec(E)_("axis") uarr uarr p)` `:.` Force om charge q at distance d `rArr vec(F)=qvec(E)=(pq)/(2pi epsilon_(0)d^(3))hat(i)`

Discussion

48.	An electric dipole has moment `vecp = pveci`. Two point which are at equal distances from the dipole, and far away from it, have electric intensities `E_(1)veci` and `-E_(2)veci`. The ratio `E_(1)//E_(2)` must beA. `1`B. `sqrt(2)`C. `2`D. `1/2`
Answer» Correct Answer - A

Discussion

49.	A particle starts from point `A`, moves along a straight line path with an accleration given by `a = 2 (4 - x)` where `x` is distance from point `A`. The particle stops at point `B` for a moment. Find the distance `AB` (in `m`). (All values are in `S.I.` units)
Answer» Correct Answer - 8 `v(dv)/(dx) = 8 - 2x` `rArr overset(v)underset(0)(int)vdv = overset(x)underset(0)int(8 - 2x)dx rArr (v^(2))/(2) = 8x - x^(2)` `rArr v^(2) = 16x - 2x^(2)` At `B, v = 0` so, `x = 8` Hence, `AB = 8`

Discussion

50.	Find the velocity and acceleration of the point described by the following position vectors (t = time in seconds); (a) r = 16t i + 25t2 j+ 33 k cm. (b) r = 10 sin15t i + 35tj + e(6t) k cm
Answer» (a) Given \(\vec r=16t\hat i+25t^2\hat j+33\hat k\) cm \(\vec r=0.16t\hat i+.25t^2\hat j+.33\hat k\) m Velocity v = \(\frac{d\vec r}{dt}\) = \(\frac{d}{dt}(0.16t\hat i+.25t^2\hat j+.33\hat k)\) \(\vec v=0.16\hat i+0.50t\hat j+0\) \(\vec v=0.16\hat i+0.50t\hat j\) \(\hat v=0.16\hat i+0.50t\hat j\) m/s acceleration a = \(\frac{dv}{dt}\) a = \(\frac{d}{dt}(0.16\hat i+0.50t\hat j)\) a = 0 + 0.50 j a = 0.50j m/s² (b) \(\vec r=10sin15t\hat i+35t\hat j+e^{6t}\hat k\) Velocity v = \(\frac{d\vec r}{dt}\)⇒ \(\frac{d}{dt}(10sin15t\hat i+35t\hat j+e^{6t}\hat k)\) \(\vec V=10cos15t\times15\hat i+35\hat j+e^{6t}.6\hat k\) \([\vec v=150cos15t\hat i+35\hat j+6e^{6t}\hat k]\) cm/sec acceleration a = \(\frac{d\vec v}{dt}\) a = \(\frac{d}{dt}(15 cos15t\hat i+35\hat j+6e^{6t}\hat k)\) a = 150(-sin15t)15\(\hat i\) + 0 + 36e^6t\(\hat k\) [a = -2250 sin 15t \(\hat i\) + 36 e^6k\(\hat k\)]

50.

Find the velocity and acceleration of the point described by the following position vectors (t = time in seconds); (a) r = 16t i + 25t2 j+ 33 k cm. (b) r = 10 sin15t i + 35tj + e(6t) k cm

Answer»

(a) Given

\(\vec r=16t\hat i+25t^2\hat j+33\hat k\) cm

\(\vec r=0.16t\hat i+.25t^2\hat j+.33\hat k\) m

Velocity v = \(\frac{d\vec r}{dt}\)

= \(\frac{d}{dt}(0.16t\hat i+.25t^2\hat j+.33\hat k)\)

\(\vec v=0.16\hat i+0.50t\hat j+0\)

\(\vec v=0.16\hat i+0.50t\hat j\)

\(\hat v=0.16\hat i+0.50t\hat j\) m/s

acceleration

a = \(\frac{dv}{dt}\)

a = \(\frac{d}{dt}(0.16\hat i+0.50t\hat j)\)

a = 0 + 0.50 j

a = 0.50j m/s²

(b) \(\vec r=10sin15t\hat i+35t\hat j+e^{6t}\hat k\)

Velocity v = \(\frac{d\vec r}{dt}\)⇒ \(\frac{d}{dt}(10sin15t\hat i+35t\hat j+e^{6t}\hat k)\)

\(\vec V=10cos15t\times15\hat i+35\hat j+e^{6t}.6\hat k\)

\([\vec v=150cos15t\hat i+35\hat j+6e^{6t}\hat k]\) cm/sec

acceleration a = \(\frac{d\vec v}{dt}\)

a = \(\frac{d}{dt}(15 cos15t\hat i+35\hat j+6e^{6t}\hat k)\)

a = 150(-sin15t)15\(\hat i\) + 0 + 36e^6t\(\hat k\)

[a = -2250 sin 15t \(\hat i\) + 36 e^6k\(\hat k\)]

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Find the velocity and acceleration of the point described by the following position vectors (t = time in seconds); (a) r = 16t i + 25t2 j+ 33 k cm. (b) r = 10 sin15t i + 35tj + e(6t) k cm