Digestive enzymes such as amylase, lipase, pepsin, trypsin, etc. helps to break the complex food particles into simple ones so that these simple particles can be easily absorbed by the blood and thus transported to all the cells of the body.

Let us assume, to the contrary, that 3 √ 2​ is 

rational. Then, there exist co-prime positive integers a and b such that

3 √ 2​= a/b

⇒  √ 2 ​= a/3b 

⇒  √ 2​ is rational       ...[∵3,a and b are integers∴ 1/3b ​is a rational number]

This contradicts the fact that  √ 2​ is irrational. 

So, our assumption is not correct.

Hence, 3 √ 2​ is an irrational number.

Alveoli present in the lungs are covered with blood capillaries so that the exchange of gases can take place between the membranes of the alveoli and the surrounding capillaries. The blood capillaries covering alveoli have a low oxygen and high carbon dioxide concentrations. This allows oxygen to diffuse into the blood and carbon dioxide to diffuse out of the blood.

Holozoic Nutrition: In holozoic nutrition, the digestion of food follows after the ingestion of food. Thus, digestion takes place inside the body of the organism. Holozoic nutrition happens in five steps, viz. ingestion, digestion, absorption, assimilation and egestion.

The history of nationalism in Britain unlike the rest of Europe because:

• In Britain the formation of the nation-state was not the result of a sudden upheaval or revolution.
• The primary identities of the people who inhabited the British Isles were ethnic ones - such as English, Welsh, Scot or Irish.
• The Act of Union (1707) between England and Scotland resulted in the formation of the 'United Kingdom of Great Britain' meant that England was able to impose its influence on Scotland. Scotland's distinctive culture and political institutions were systematically suppressed.
• The Scottish Highlanders were forbidden to speak their Gaelic language or wear their national dress and large numbers were forcibly driven out of their homeland.
• The English helped the Protestants of Ireland to establish their dominance over a largely Catholic country. Catholic revolts against British dominance were suppressed. Ireland was forcibly incorporated into the United Kingdom in 1801.
• The symbols of the new Britain - the British flag, the national anthem, the English language were actively promoted and the older nations survived only as subordinate partners in this union.

The history of nationalism in Britain was unlike that in the rest of Europe in the sense that it was forced down upon the masses. There was no concept of a British nation prior to the eighteenth century. The region was in fact inhabited by different ethnic groups (English, Welsh, Scot, Irish).

Water is very necessary for photosynthesis. An experiment to show water is necessary for photosynthesis is given below:

Every plants need water for photosynthesis to make their food(glucose ). Plants absorb water through their roots. Then from roots, by their special part called xylem, water is taken up to their leaves where photosynthesis occur. Then from leaves food is distributed to different parts of the plant. So like that if plants do get water then there could be no more food produce and if there would be no more food produce then it means that there would be no more process called photosynthesis. So water is very important for photosynthesis.

(i) Water is used to transport the metabolic products from one part to the other where they are needed. So it acts as a vehicle for the transportation.
(ii) water is an electron source of photosynthesis.In this process six water molecules combine with six carbon molecules to form, oxygen and glucose.
(iii) Water is evaporated through the stomata present on the leaves. It cools the plant in the hot sunny days.
(iv) Water is necessary to maintain turgidity i.e. the pressure of water in the cells of plants which is important for the survival of plant else it will wilt. It is also required for the growth as it expands the plant cells.
(v) Water regulates the opening and closing of stomata, which in turn regulates transpiration and photosynthesis.

Requirements : A potted plant with variegated leaves - for example, Croton or money plant (variegated leaves are partly green and partly white), rice paper, pencil, white paper sheath, beaker, test tube, 70% alcohol, KL solution, water bath.

Method : Keep the potted plant with variegated leaves in dark for three days so that the leaves become free from starch. Then place the plant in bright sun light for about 6 hours. Take a variegated leaf of the potted plant kept in bright sunlight. Trace the outline of leaves and its variegated parts on the tracing paper (the variegated leaves show pale yellow spots in green leaves. These areas indicate the absence of chlorophyll). Dip the leaf in boiling water for a few minute. Now boil the leaf in 70% alcohol till it decolorizes. Now dip the leaf in boiled water to make the leaf soft. Take out the leaf and stain with iodine (KL) solution. Observe the change in colour.

Observation : The blue colour appears only in those parts of leaf which were green in colour. The blue colour will not appear in variegated parts. This shows that starch formation takes place only in green (chlorophyll containing) parts of the leaf. Thus, the chlorophyll is essential for photosynthesis.

To prove the necessity of sunlight in photosynthesis following steps need to do

• Take a plant with destarched leaf.
• Leaf is partially covered with black paper on which a design is cut.
• Expose this plant to sunlight for few hours and perform a starch test with iodine solution.

Observation-

• Covered leaf part shows brown colouration.
• Exposed leaf shows blue-black colour.

Result- Starch is present in the exposed leaf.
Conclusion- Leaf exposed to sunlight give iodine test, proving that sunlight is necessary for photosynthesis.

Aim: To show that carbon dioxide is necessary for photosynthesis

 Procedure:

• Take a plant with destarched leaves.
• Insert one of its leaves in a conical flask containing potassium hydroxide.
• Leave the plant in sunlight.
• After a few hours, test the particular leaf and some other leaf of the same plant for the presence of starch.

Observation:

 The leaf which was inserted in the conical flask stains brown, and the other leaf which is exposed to sunlight turns blue-black.

Inference:

Potassium hydroxide in the flask absorbs carbon dioxide; thus, due to the absence of CO₂, the leaf fails to produce starch which proves that carbon dioxide is necessary for photosynthesis.

The Supreme Court have the power to interpret the Constitution, and the powers of different levels of the government. The Supreme court acts as an umpire in case of disputes arising between different levels of the government in the exercise of their respective powers of dual objectives. If there is any disputes between the Centre and the State government, Supreme Court plays very important role as middle man to resolve that disputes.

The point P(0,9) is equidistant from the points A(6,5) and B(-4,3).

Step-by-step explanation:

Let the point on y axis is P(0,y) which is equidistant from the points A(6,5) and B(-4,3). The distance between PA is equal to PB such that,

On squaring,

So, the point P(0,9) is equidistant from the points A(6,5) and B(-4,3).

To prove:

Solution:

Given: The sum of first ‘n’ terms of three AP's are . The ‘first term’ of each is 5 and their common differences are 2, 4 and 6 respectively.  

Formula of summation of an A.P

whereas  = Summation till n terms.

a = First term of sequence

d = Common Difference

Now, using this formula, we get  

Thus, we need to add  to prove that 

Thus, .

Hence proved.

Variations are beneficial for the survival of the species. Populations of organisms fill well-defined places, or niches, in the ecosystem, using their ability to reproduce. However, niches can change because of reasons beyond the control of the organisms and could even wipe out the entire population. However, if some variations were to be present in a few individuals in these populations, there would be some chance for them to survive.

For example - If there were a population of bacteria living in temperate waters and suppose the water temperature were to be increased by global warming. Most of these bacteria would die, but the few heat resistant variants would survive and grow further. Variation is thus useful for the survival of species over time. 

The distribution of resources is controlled by the government.

Explanation:

Under the mixed economy, resource allocation primarily is done by government and it plays a main role in the distribution of income and resources.

Mixed economy is an economic system in which both government and free-market have a significant role. The private sector may be different in a mixed economy where the allocation of resources is done by market forces as well. But the government pays a major role in the mixed economy.

Gonadotropins FSH and LH are secreted by the anterior pituitary. FSH promotes spermatogenesis in the seminiferous tubules and LH promotes androgen production in the interstitial cells (androgens are required for attainment of reproductive maturity in males).

Gypsum is calcium sulphate dihydrate. The chemical formula of gypsum is CaSO ·2H O Plaster of Paris is prepared by heating gypsum to a temperature of 373K.When gypsum is heated to a temperature of 373k ,It loses three-Fourths of its water of crystallisation and forms Plaster of Paris. Properties 1)It is a white powder. 2)It has a very remarkable property of setting into a hard mass on wetting with water. P.O.P. should be stored in a moisture proof container.

Ebright initiated his research on the monarch pupa by studying the purpose of the twelve gold spots on its body. He discovered that these spots produced a hormone which helped in butterfly's full development. Later, he proved that the absence of that hormone would make monarch a normal butterfly. He cultured the hormones and identified its chemical structure. It led to his theory of cell life.

Richard had a rare honour at the age of twenty-two. He wrote an article with his friend about a theory of how cells work. The article was published in the scientific journal 'Proceedings of the National Academy of Science. ' No one had this achievement at such a young age before him.