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Yogita Ingle 5 years, 8 months ago
Let take √5 as rational number
If a and b are two co prime number and b is not equal to 0.
We can write √5 = a/b
Multiply by b both side we get
b√5 = a
To remove root, Squaring on both sides, we get
5b² = a² ……………(1)
Therefore, 5 divides a² and according to theorem of rational number, for any prime number p which is divides a² then it will divide a also.
That means 5 will divide a. So we can write
a = 5c
and plug the value of a in equation (1) we get
5b² = (5c)²
5b² = 25c²
Divide by 25 we get
b²/5 = c²
again using same theorem we get that b will divide by 5
and we have already get that a is divide by 5
but a and b are co prime number. so it is contradicting .
Hence √5 is a non rational number
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Yogita Ingle 5 years, 8 months ago
The accumulation and progressive increase in the concentration of non biodegradable, harmful chemicals at different tropic levels in a food chain is called bioconcentration or biomagnification.
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Meghna Thapar 5 years, 8 months ago
An AC generator can be changed into a DC generator by replacing the slip-ring arrangement with the split-ring (commutator) arrangement.
In an electric generator, mechanical energy is used to rotate a conductor in a magnetic field to produce electricity. An electric generator consists of a rotating rectangular coil ABCD placed between the two poles of a permanent magnet. The two ends of this coil are connected to the two rings R1 and R2. The inner side of these rings are made insulated. The two conducting stationary brushes B1 and B2 are kept pressed separately on the rings R1 and R2, respectively. The two rings R1 and R2 are internally attached to an axle. The axle may be mechanically rotated from outside to rotate the coil inside the magnetic field.
Outer ends of the two brushes are connected to the galvanometer to show the flow of current in the given external circuit. When the axle attached to the two rings is rotated such that the arm AB moves up (and the arm CD moves down) in the magnetic field produced by the permanent magnet. Let us say the coil ABCD is rotated clockwise. By applying Fleming’s right-hand rule, the induced currents are set up in these arms along the directions AB and CD. Thus an induced current flows in the direction ABCD. If there are larger numbers of turns in the coil, the current generated in each turn adds up to give a large current through the coil.
This means that the current in the external circuit flows from B2 to B1. After half a rotation, arm CD starts moving up and AB moving down. As a result, the directions of the induced currents in both the arms change, giving rise to the net induced current in the direction DCBA. The current in the external circuit now flows from B1 to B2. Thus after every half rotation the polarity of the current in the respective armschanges. Such a current, which changes direction after equal intervals of time, is called an alternating current (abbreviated as AC). This deviceis called an AC generator.
An AC generator can be changed into a DC generator by replacing the slip-ring arrangement with the split-ring (commutator) arrangement.
In an electric generator, mechanical energy is used to rotate a conductor in a magnetic field to produce electricity. An electric generator consists of a rotating rectangular coil ABCD placed between the two poles of a permanent magnet. The two ends of this coil are connected to the two rings R1 and R2. The inner side of these rings are made insulated. The two conducting stationary brushes B1 and B2 are kept pressed separately on the rings R1 and R2, respectively. The two rings R1 and R2 are internally attached to an axle. The axle may be mechanically rotated from outside to rotate the coil inside the magnetic field.
Outer ends of the two brushes are connected to the galvanometer to show the flow of current in the given external circuit. When the axle attached to the two rings is rotated such that the arm AB moves up (and the arm CD moves down) in the magnetic field produced by the permanent magnet. Let us say the coil ABCD is rotated clockwise. By applying Fleming’s right-hand rule, the induced currents are set up in these arms along the directions AB and CD. Thus an induced current flows in the direction ABCD. If there are larger numbers of turns in the coil, the current generated in each turn adds up to give a large current through the coil.
This means that the current in the external circuit flows from B2 to B1. After half a rotation, arm CD starts moving up and AB moving down. As a result, the directions of the induced currents in both the arms change, giving rise to the net induced current in the direction DCBA. The current in the external circuit now flows from B1 to B2. Thus after every half rotation the polarity of the current in the respective armschanges. Such a current, which changes direction after equal intervals of time, is called an alternating current (abbreviated as AC). This deviceis called an AC generator.
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Yogita Ingle 5 years, 8 months ago
* It is a four chambered structure consisting - the right auricle , the left auricle , right ventricle and left ventricle.
* The Auricles are smaller and placed above the ventricles. Auricles are partitioned by a muscular called septum.
* The right auricle receives the deoxygenated blood from all parts of the body except the lungs. It pumps this blood into the right ventricle. Then , the right ventricle pumps the deoxygenated blood to the lungs. The left auricle receives oxygenated blood from the lungs through pulmonary veins. It pumps this blood into the left ventricle. The left ventricle pumps the oxygenated blood to the distant organs in the body.
* Each auricle communicates with the ventricle of its side by a pore which is guarded by valves. These valves allow the blood to flow from the auricles to the ventricles but check its return to the auricles. Thus , the heart there is a complete separation of oxygenated and deoxygenated blood. The heart is enclosed in a double membrane called pericardium. It contains fluid which protects the heart from any shock or mechanical injury.
*The heart collects blood through both the auricles and then distributes it through ventricles. The action of heart includes contraction and relaxation of the auricles and ventricles.
* A contraction of heart is called systole and diastole. The contraction and relaxation occur in an automatic rhythmic fashion. The auricles and ventricles contract alternately. The rhythmic contraction and relaxation of heart is called a heart beat.
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Yogita Ingle 5 years, 8 months ago
The major organs or structures that coordinate digestion within the human body include the mouth, esophagus, stomach, small and large intestine, and liver.
Mouth- The mouth is a specialized organ for receiving food and breaking up large organic masses. In the mouth, food is changed mechanically by biting and chewing. Food is moistened by saliva. The saliva contains an enzyme called amylase, which digests starch into maltose. During chewing, the tongue moves food about and manipulates it into a mass called a bolus. The bolus is pushed back into the pharynx and is forced through the opening to the esophagus.
Esophagus- The bolus of food moves through the esophagus by peristalsis
Stomach - The stomach is an expandable pouch located high in the abdominal cavity. Layers of stomach muscle contract and churn the bolus of food with gastric juices to form a soupy liquid called chyme. The stomach stores food and prepares it for further digestion. In addition, the stomach plays a role in protein digestion. Gastric glands called chief cells secrete pepsinogen, which is converted to pepsin in the presence of hydrochloric acid. The pepsin then digests large proteins into smaller proteins called peptides. To protect the stomach lining from the acid stomach cells secretes mucus that lines the stomach cavity.
Small intestine: The chyme enters from stomach to the small intestine. The three parts of small intestine are duodenum, jejunum and ileum. The inner surface of the small intestine contains numerous fingerlike projections called villi. Each villus has projections of cells called microvilli to increase the surface area.
Most chemical digestion takes place in the duodenum. In this region, enzymes digest nutrients into simpler forms that can be absorbed. Intestinal enzymes are supplemented by enzymes from the pancreas. In addition, bile enters the small intestine from the gall bladder to assist in fat digestion.
The enzymes functioning in carbohydrate digestion include amylase (for starch), maltase (for maltose), sucrase (for sucrose) and lactase (for lactose).
For fats, the principal enzyme is lipase. Before this enzyme can act, the large globules of fat must be broken into smaller droplets by bile.
Protein digestion is accomplished by several enzymes, including two pancreatic enzymes: trypsin and chymotrypsin. Peptides are broken into smaller peptides, and peptidases reduce the enzymes to amino acids.
Nucleases digest nucleic acids into nucleotides in the small intestine also.
The products of digestion enter cells of the villi, move across the cells, and enter blood vessels called capillaries. Diffusion accounts for the movement of many nutrients, but active transport is responsible for the movement of glucose and amino acids. The products of fat digestion pass as small droplets of fat into lacteals, which are branches of the lymphatic system.
Substances that have not been digested or absorbed then pass into the large intestine.
Large intestine - The large intestine's chief functions are to absorb water and to store, process, and eliminate the residue following digestion and absorption. The intestinal matter remaining after water has been reclaimed is known as feces. The feces are stored in the rectum and passed out through the **** to complete the digestion process.
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Yogita Ingle 3 years, 1 month ago
(a) The new Tory government in Britain constituted a Statutory Commission under Sir John Simon.
(b) Set up in response to the nationalist movement.
(c) The commission was to look in to the functioning of the constitutional system in India and suggest changes.
(d) The problem was that the commission did not have a single Indian member.
(e) When the Simon Commission arrived in India in 1928, it was greeted with the slogan ’Go back Simon’.
(f) All parties, including the Congress and the Muslim League, participated in the demonstrations.
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Mayank Kumar 5 years, 8 months ago
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