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For Quarter wave line transformer

\(Z_0^2\) = \(Z_{in}\) . \(Z_L\)

\(Z_0^2\) = 50 x 200

\(Z_0\) = 100  \(\Omega\)

Correct option (b) R₀

Explanation:

For λ/4 line, z_in1 = z²₀/z_L = R²₀/R₀/2 = 2R₀

For λ/2 line, zL₂ = 2R₀

For λ/8 line, z_L = (2R₀)|| 2R₀

= R₀

For transmission line of length l, z_in  = z₀[(z_L + jz₀tanβl)/(z₀ + jz_Ltanβl)]

l = λ/8, z_in = z₀[(z_L + jz₀)/(z₀ + jz_L)]

z_in = R₀[(R₀ + jR₀)/(R₀ + jR₀)] = R₀

Correct option (b)25 Ω

Explanation:

z₀ = 50Ω

z_L = 100Ω

z_L > z

z_in(min) = z²₀/z_L

= (50 x 50)/100 = 25Ω

Correct option (b)1/(Z₀C)

Explanation:

z₀ = √(L/C), z²₀ = L/C

velocity(V) = 1/√(LC) = 1/√((z²₀C)(C)) = 1/z₀C

Correct option (a) 0

Explanation:

For quarter wave transformer (λ⁄4)

zin = z²₀/z_L

z_L = 0 (short circuit) 

z_in = z²₀/0 = ∞ (open circuit) 

The current drawn from the voltage source 

Is = V_s/z_in = V_s/∞ = 0

1. Slow and steady wins the race.

2. A stitch in time saves nine.

3. Economics are an interesting subject.

4. A bunch of keys have been found.

5. Measles is a dangerous disease.

America was cold and beautiful. What little she saw was very pleasing to her eyes. Americans were enormously nice too. She felt that this would be the place and event that would change her life.

1. time 

2. half 

3. eye

The author was enthusiastically participating in the bid at Christie with very little money on him. He sailed smooth for a long time raising the stakes on many paintings and carefully staying behind other competitors. It was fun watching till he got trapped in a net, set by his own tongue. When one particular painting was offered for 4000 guineas, the bidders maintained an uncomfortable silence when the author heard himself foolishly saying “and fifty”. The auctioneer banged the hammer finalizing the deal in the narrator’s favour. 

It was then the narrator realized with alarm that he had no money on him. Suddenly he lost interest in fun- bidding. He started thinking fast for a way out of the tight comer he had created for himself. Many small and big paintings were offered and sold out fast. The Barbizon pictures were selling fast like hot cakes for 2000 to 3000 guineas. The author was running over the names of friends, relatives and even money lenders who might bail him out of the tight comer. He even speculated on the possibility of confessing his poverty to the staff of Christie and request them to put up the picture again for sale. Such a genuine mistake could have been rectified at the early stages of auction.

As he had enthusiastically participated in the bid for many paintings, the auctioneers wouldn’t buy his justification for the “genuine mistake”. As bidders stood in a queue to hand in their cheques / cash to collect their paintings, the narrator stood deliberately at the end. He never felt such a fool or had colder feet all his life.

Mary Kom flew to Pennsylvania, USA to compete under 48 kg World Women’s Boxing Championship in 2001. On landing, she rushed to the sports arena and weighed. She was lucky as she could rest enough to face her opponent the following day. As soon as she won her opponent in the first match, she gained enormous confidence. Her fear of facing new opponents in the ring vanished completely. While her team-mates went on losing one after another, she went on to reach the finals.

She was even hopeful of winning gold. She had defeated Nadia Hokmi of Poland by RSC. She also defeated Jamie Behai of Canada by 21-9. The greatest disadvantage just before finals was that she lost her appetite. She was not accustomed to American food. However hard she tried, she could not eat. She lost her weight. She was just 46 kg before the finals. This cost her, her long cherished dream of gold medal and she lost to Hula Sahin of Turkey 13-5. She won her silver but was very sad.But the biggest thing she took home from Pennsylvania was not the medal but the conviction that she could take on any boxer in the world.

Correct Answer is: (c) sack

Firm is a organization involved in the trade of goods, services, or both to customers for pay and Industry is a production of goods or service of a given field within an economy.

A market is defined as the sum total of all the buyers and sellers in the area or region under consideration. The area may be the earth, or countries, regions, states, or cities.

The value, cost and price of items traded are as per forces of supply and demand in a market. The market may be a physical entity, or may be virtual. It may be local or global, perfect and imperfect.

Production increases with the increase in efficiency and number of working days. Natural resources can be utilized properly. Medical expense can be reduced, thereby reducing the government’s expenditure. Economic development is possible through increase in population

• Lack of health care facilities in the rural areas.
• Lack of health care facilities in proportion to population.
• Increasing medical expense in the public sector.

Sarva Shiksha Abhiyan and Rashtriya Madhyamik Shiksha Abhiyan introduced by Union Government are joined together and implemented as Samagra Shiksha Abhiyan in 2018.

• Individuals 
• Families 
• Various institutions 
• Nation

Many goods and services are needed to fulfil the different needs of the people in a country. Manpower is an important factor in making available the goods and services. No society cannot exist without physical and mental manpower.

The branch of social science that analyses the population, the changes in its size, its structural aspects, etc. is known as demography.

Human resource development is the development of man’s physical and mental abilities through education, healthcare and training.

1. National Rural Health Mission 

2. National Urban Health Mission

• To ensure universal education to all upto higher secondary level. 
• To ensure quality and equity.

Problems

• Certain section drop out from schools without completing primary education. 
• There is a lack of availability of basic facilities in the education sector. 
• Quality of education has to be improved. Solutions 
• Prevent drop out from schools 
• Improve the quality of education

Population structure is the classification of population into different age groups and presenting the ratio of each group in the population. The classification includes age groups like 0-14 years, 15-59 years and 60 and above years.

• Education
• Healthcare

Each country collects information on the number of people in the country, their age, sex, socio¬economic status, etc. and analyses these at specific intervals of time. It is called census.

According to WHO, health is a state of physical, mental and social well being.

• Availability of clean water 
• Preventive measures 
• Cleanliness 
• Medical facilities 
• Ensuring of leisure and entertainment 
• Awareness about communicable diseases.

Education, healthcare and training are the factors that help to improve human resource. The advantages of improved human resource are:

• Productivity of the workers increases 
• Entrepreneurship improves Social welfare is ensured 
• Economic inequality is reduced
• Natural resource is utilised effectively 
• Makes possible the development and use of advanced technology.

• Birth rate: Birth rate is the number of live births per 1000. 
• Death rate : Death rate is the number of deaths per 1000. 
• Migration: Migration is the settlement of people of a region in another region.

a. Cultivable lands are represented by yellow colour in topographical maps.

• Altitude of the place 
• Nature of the slope 
• Shape of the landform

• Form lines 
• Spotlight 
• Triangulated height. 
• Benchmark.

The correct answer is the Chirawa inscription.

• The chirawa inscription is found in the Samadhishvara temple of the Chittorgarh fort in Rajasthan.
• The chirawa inscription is engraved in 1273 AD.
• Chirawa inscription informs about the contemporary rural administration, Sati Pratha, and the social condition of Chirawa.
• The Samadhishvara temple is dedicated to lord shiva who is called Samadhishvara which means the 'Lord of Samadhi'.
• According to the Chirawa inscription, Madana an official who bore the designation Talaraksha used to worship Shiva at the Samadhishwara temple.
• Samadishwara temple was constructed by Paramara king Bhoja in Chittorgarh.
• Samadishwara temple is also known as the Bhoja Svamin Jagati.
• Paramara king Bhoja is considered as the lord of three words so he is known as the Tri Lok Narayana. so, this temple is also known as  Tri Bhuvana Narayana temple.

• Historian GH. Ohja theorized that the Tribhuvan Narayana temple at Chittorgarh was built by the Paramara king Bhoja.
• Ohja further identified the Tri bhuvana Narayana temple as the present-day Samadhishvara temple.

Survey method is the most appropriate method to study social subjects/issues. In this method, information is collected from a group of people selected according a some specific criteria. By analyzing the information, researcher can come across some findings on a particular issue.

Sarva Shiksha Abhiyan (SSA): To ensure universal primary education to all. To improve educational facilities.

Rashtriya Uchthal Shiksha Abhiyan (RUSA): To increase the access to higher education. To improve the quality of higher education.

National Skill Development and Monetary Reward Scheme: To improve the working skills of the youth To ensure the availability of people with employable skills.

Rashtriya Uchthal Shiksha Abhiyan (RUSA)

National Skill Development and Monetary Reward Scheme.

a – ii, 

b- iii, 

c – iv, 

d – i

• Integrated Child Development Scheme. Goals T
• o ertsure integrated development of children upto 6 years.
• To provide healthcare for pregnant and lactating women.

Correct answer is (ii) Red 

The correct answer is Junagadh fort.

• The Rai Singh Prashasti was found in the Junagadh fort.
• Rai Singh Prashasti was established by Bikaner king Rai Singh.
• Rai Singh Prashasti describes the date of construction of the fort.
• This Rai Singh Prashasti also describes the achievements of rulers from Rao Bika to Rao Rai Singh.
• Its creator was a Jain monk named Zaita.
• Rai Singh Prashasti was engraved in the Sanskrit language on the walls of Junagadh fort. 

The correct answer is made up of black stones that are fixed in the assembly hall of the temple.  

• The Jagannath Rai Prashasti: 
  • This inscription dates back to 1652 A.D.
  • It is situated in Jagannath Rai temple in Udaipur.
  • It mentions about the achievements of the rulers of Marwar.
  • It provides a description of the Battle of Haldighati. 
  • It was composed by Krishna Bhatt. 
  • It also talks about the victories of Maharaj Jagat Singh. 
  • This inscription is engraved on black stones that are fixed in the assembly hall of the temple.
  • This inscription is situated at the entrance of the Jagannath Rai temple.

National Skill Development and Monetary Reward Scheme.

Goals 

• To improve the working skills of the youth. 
• To ensure the availability of people with employable skills.

Interview helps to know and analyse the attitudes, views, beliefs and habits.

• Development of basic infrastructure due to population growth. 
• Increase in defence expenditure
• Social welfare activities 
• Urbanisation

• To analyze the physical and cultural features of the terrain 
• For military operations and the preparation of military maps 
• To identify and study the natural as well as the cultural resources of a region as part of economic planning.
• For urban planning

D. i. d, ii. c, iii. a, iv. b