Autatrophs mean-
Auto-Self Trophes- norishment    
           {self-nourishment}

Autotrophs are the organisms which exhibit autotrophic mode of nutrition. Autotrophs are organisms which can synthesise their own food by the process of photosynthesis. Plants and some bacteria that can synthesise their own food and are called as autotrophs. 

A n s w e r:

Settlements of peasants, known as ur, became prosperous with the spread of irrigation agriculture. Groups of such villages formed larger units called nadu
The whole empire had been divided into nine provinces called mandalams. Each province was headed by a viceroy who received orders from the king.
Each mandalam was divided into number of Kottams or Valanadus which was further sub-divided into nadu. Each nadu was further divided into villages called Urs.

(i) Lateral surface area of cubical box = 4a² = 4 x 10² = 400 cm²

Lateral surface area of cuboidal box = 2h (l + b)

= 2 x 8(12.5 +10) = 16 X 22.5 = 360 cm²

Thus, lateral surface area of cubical box is greater by

(400 cm² - 360 cm²) = 40 cm²

(ii) Total surface area of cubical box = 6a² = 6 x 10² cm² = 600 cm²

Total surface area of cuboidal box = 2 (lb + bh + hl)

= 2(12.5 x 10 + 10 x 8 + 8 x 12.5)

= 2(125 + 80 + 100)  = 2 x 305cm²  = 610 cm² 

Thus, total surface area of cuboidal box is greater by (610 - 600) cm² 

= 10 cm² 

Any person who wishes to become a Muslim should recognize that he or she will get all these benefits and much more. However, he or she should realize that they have to earn them by practicing the teachings of Islam.
The following items are some of the benefits to be earned and enjoyed by those who wish to become Muslim:

1. As far as the Creator (whose proper name is Allah) is concerned, you will be able to identify Him and get to know Him, His role and your relationship to His names, you will be able to communicate with Him any time, 24 hours a day, throughout the whole year. As a result of this category, you will be able to know your origin, your roots and the wisdom as to why you are on this planet. You will be able to have good answers to the questions why, how, when, where, what and other philosophical questions.
2. As a result of the first benefit, your loyalty, allegiance, and obedience will be to the Creator himself. You will transcend yourself from all types of allegiance for this world. This means that if there is a conflict of interest between your boss, your job, your government, your system or any worldly relationship with the Creator, you will undoubtedly put your trust in Allah, the Creator of the universe. You will follow Him before you follow anyone else.
3. As a result of the second benefit, you will be able to acquire peace, harmony, tranquility and happiness within yourself, with your family, with people of the world, with the environment and with the universe. One has to remember that the source of peace is Allah, and one of his beautiful names is that He is The Peace.
4. As an endorsement to the third benefit, you will get rid of the extra electrostatic charges from your brain and the central nervous system by performing the daily Salah (prayer). Through Salah, you are to prostrate by putting your forehead to the floor; and as such are grounding yourself, and you are discharging these extra charges into the ground. As a result of this act, you will get rid of many of the neurological diseases from your body.
5. As a result of the fourth benefit, you will acquire a pleasant personality. You will be friendly and amicable. You would not need to drink alcohol, to use drugs or to get involved in vulgarity or immorality.
6. Through the experience of fasting in Islam, you will be able to have self-control, self-restraint, self-discipline, self-education, self-evaluation, and self-obedience to Allah the Creator. You undoubtedly will be able to improve health, personality, character, and behavior.
7. As a result of the sixth benefit, you will be able to control your lusts, selfishness, desires, greed, ego, and conceitedness.
8. Another side reaction of the sixth and seventh benefits is that you will be generous and hospitable; you will try to purify yourself and your mistakes by sharing your happiness and your wealth with those who are less fortunate than you. Your rewards will manifold, compounded daily until the Day of Judgment.
9. By performing pilgrimage to Makkah, you will transcend yourself from being nationalistic, sectarian, or denominational into being universal. You will be part and an essential constituent of the rainbow of Islam. You will be also part of the brotherhood of Islam with those who already submitted themselves to the Creator. At the same time, you will get rid of any inferiority or superiority complexes. You will also find yourself in synchrony and harmony with all the prophets and messengers of Allah since the creation of Adam and Eve until the last final messenger to mankind, prophet Muhammad (Peace be upon him). While in Makkah, you will be able to visit the places of revelation of the Qu`ran as well as the places visited by Prophet Abraham and members of his family such as Hagar and Ishmael .(peace be upon them) You will visit the place where the first astronauts, Adam and Eve landed on earth.
10. In becoming a Muslim, you will do your best to stop all types of exploitations in all their forms: economic, biological, mental, spiritual, psychological, political, etc. You will also work to liberate people and give them freedom of worship, freedom of speech, and freedom of expression. You will be a leader and help lead people to peace, tranquility and happiness.
11. In accepting Islam, you will help to reduce all types of social illnesses in the society: juvenile delinquency, child abuse, domestic abuse, incest, homosexuality, sexual promiscuity, premarital relationships, extramarital relationships, and other vices.
12. As a result of the eleventh benefit, you will reduce and eliminate venereal diseases, AIDS, and other diseases of similar nature in the society.
13. Finally, when you die, you will die at peace. You will have a happy life in the grave and later, eternal happiness. Angels at the time of death will comfort you. They will also show you your place in paradise. On the Day of Judgment, you will be able to see and meet all the prophets and messengers of God to mankind including Noah, Abraham, Moses, Jesus, and Muhammad (peace be upon them). You will be able to see and meet any and all of your friends and relatives. You will live an eternal life of bliss in paradise.

If the formula of a chloride of a metal M is MCl₃​, then the formula of the phosphate of metal M will be MPO_4​.

Since, the formula of a chloride of a metal M is MCl₃​, the metal is trivalent (because chlorine is monovalent). Phosphate is trivalent. Hence, one M³⁺ ion will combine with one PO₄³⁻​ ion to maintain electrical neutrality.

Prokaryotes lack a defined nucleus (which is where DNA and RNA are stored in eukaryotic cells), mitochondria, ER, golgi apparatus, and other membrane bound organelles. In addition to the lack of organelles, prokaryotic cells also lack a cytoskeleton.

MPO₄

Valency of chlorine is -1 hence valence of metal in the given compound MCl3​ is +3. Valency of phosphate ion is PO43−​. By cross multiplication method, formula of the given compound is MPO4​, as valency of both is same they combine in unit ratio.

Ranga was the son of the accountant who had been sent to Bangalore for his studies. His homecoming was considered to be a great event because of his knowledge of English. Ranga was a well-mannered,educated boy who was respectful of his elders in spite of having studied away from his village. It was usually the custom that people who left home also left behind their customs and traditions at home. But Ranga's deference towards his elders as exhibited during his meeting with the narrator left him with no room for doubt about Ranga being different from the uppity present day boys.He was quite thoughtful of other people,as the narrator puts it: 'a generous,considerate fellow'. His education is displayed through his idea of an ideal wife who should not be a docile homebound beauty but someone who stimulates him intellectually and can be on a par with him. In general,we can sum him up as a mature,sensible young man with enough intelligence to be of service to society.

The required container has to measure both the tankers in a way that a count is an exact number of times. So its capacity must be an exact divisor of the capacities of both the tankers. Moreover, this capacity should be maximum. Thus, the maximum capacity of such a container will be the HCF of 850 and 680.

  The HCF will be

850 = 2 × 5 × 5 × 17= 2 × 5 × 17 × 5 and

680 = 2 × 2 × 2 × 5 × 17= 2 × 5 × 17 × 2 × 2

Hence,

850 = 2 × 5 × 5 × 17= 2 × 5 × 17 × 5 and

680 = 2 × 2 × 2 × 5 × 17= 2 × 5 × 17 × 2 × 2

The common factors of 850 and 680 are 2, 5 and 17.

Thus, the HCF of 850 and 680 is 2 × 5 × 17 = 170.

Therefore, the maximum capacity of the required container is 170 liters.

It will fill the first container in 5 and the second in 4 refills.

Consider the given events
A = Numbers appearing on two dice are different
B = The sum of the numbers on two dice is 4

Clearly,
A = {(1, 2), (1, 3), (1, 4), (1, 5), (1, 6),
                     (2, 1), (2, 3), (2, 4), (2, 5), (2, 6),
                     (3, 1), (3, 2), (3, 4), (3, 5), (3, 6)
                     (4, 1), (4, 2), (4, 3), (4, 5), (4, 6),
                     (5, 1), (5, 2), (5, 3), (5, 4), (5, 6),
                     (6, 1), (6, 2), (6, 3), (6, 4), (6, 5)}
B = {(1, 3), (3, 1) and (2, 2)}

 Now ,

A∩B={(1,3) and (3,1)}

∴ Required probability =P(B/A) = n(A∩B) / n(A) = 2 / 30 =1 / 15

When two dice are thrown, there are 36 possibilities.
However, we are given, every time both dice contain different numbers means doublet is not a possibility.
As, number of doublets are 6, so, sample space, S=36-6=30
Number of possibilities of the event when sum of dice is 4, (1,3),(3,1).
Here, we won′t take (2,2) as both dice contain different numbers.So,
E=2
So, P(E)=2/30=1/15

let atomic weight of x = Mx
atomic weight of y = My

we know,
mole = weight /atomic weight
a/c to question,

mole of xy2 = 0.1
so,
0.1 = 10g/( Mx +2My)

Mx + 2My = 100g -------(1)

for x3y2 ; mole of x3y2 = 0.05

0.05 = 9/( 3Mx + 2My )

3Mx + 2My = 9/0.05 = 9× 20 = 180 g ---(2)
solve eqns (1) and (2)

2Mx = 80
Mx = 40g/mol

and My = 30g/mole