s MATHEMATICS 2005 (Set II—Outside Delhi) Except for the following questions‚ all the remaining questions have been asked in Set I . SECTION - A Q. 1. If [pic]then prove by Principle of mathematical Induction that [pic]‚ where [pic] Q. 2. Two balls are drawn at random with replacement from a box containing 10 black and 8 red. Find the probability that (i) both balls are red (ii) the first ball is black and the second is red (iii) one of them is black and the other red. Q. 10. Evaluate:
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India holds over half the world’s tiger population. According to the latest tiger census report released on February 12‚ 2008 by the National Tiger Conservation Authority‚ the current tiger population stands at 1‚411 (i.e. ranging between a minimum of 1‚165 to a maximum of 1‚657). The results include figures from 16 tiger states and are exclusive of Jharkhand and Sunderbans. The state of West Bengal was covered only partially (i.e. North Bengal) during the census. The Tiger Census 2008 report
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throw the rubbish to river‚ so that river becomes full of rubbish and impede the course of the river water then river water overflowed into the streets. Moreover‚ still many people do illegal logging and because of that there isn’t water absorbing and the water into river. Beside that‚ build a construction cause of flood too‚ because they isn’t water absorbing. Last‚ cause of various factors. Flood can happen cause of sediment decreases because many people live beside river. In conclusion‚ flood
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An estuary is a partly enclosed coastal body of water with one or more rivers or streams flowing into it‚ and with a free connection to the open sea.[1] Estuaries form a transition zone between river environments and ocean environments and are subject to both marine influences‚ such as tides‚ waves‚ and the influx of saline water; and riverine influences‚ such as flows of fresh water and sediment. The inflow of both seawater and freshwater provide high levels of nutrients in both the water column
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Small Hydropower Project (The Project) is Run off River (RoR) type with its headworks located in Tinekhu River at some 3 km upstream from the confluence of Tamakoshi River and Tinekhu River. The distance to the intake site from Singati Bazaar is about 6 km north-east. The powerhouse is located along the left bank of Tamakoshi River‚ some 100 m upstream from the confluence of Tamakoshi River with Tinekhu River. There is a bridge over Tamakoshi River near powerhouse and a seasonal road up to the forebay
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increase in sea level rise etc. Over–saturated soil (when the ground can’t hold in any more water and could turn into mud etc): Infiltration can’t take place due to the soil’s impermeability resulting in so then surface run off will be increased. High River‚ Stream‚ and Sea Level (caused by heavy rain/particle expansion): The amount of water in the channel becomes too high‚ forcing water inland. Objects such as fallen trees and littering can causes blocks in the flow of the water‚ which can also cause
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region and glaciers‚ rivers‚ and streams eroded the Rocky and Appalachian Mountains. Today‚ mountain erosion continues to carry debris out onto the plains. When melting snows and heavy rains fill rivers beyond their banks‚ they flood. The waters spread out over the surrounding landscape and drop the load of mud‚ sand‚ and silt they normally channel downstream. Over thousands of years‚ the sediments build up floodplains. Alluvial plains often form where steep mountain valley rivers gush onto more
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Mrs. Wang’s clan village‚ the Village of Three Mile Wangs‚ on the flat banks of the Yellow River‚ had never even seen a Japanese person. Only the war caused them to talk about the Japanese. It was an early summer evening. After her supper‚ Mrs. Wang had climbed the dike steps‚ as she did daily‚ to see how high the river had risen. She was more afraid of the river than of the Japanese. She knew what the river could do. One by one‚ the villagers had followed her up the dike. They stood staring down
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Streams and rivers * WetlandsPonds and lakes These regions range in size from just a few square meters to thousands of square kilometers. Scattered throughout the earth‚ several are remnants from the Pleistocene glaciation. Many ponds are seasonal‚ lasting just a couple of months (such as sessile pools) while lakes may exist for hundreds of years or more. Ponds and lakes may have limited species diversity since they are often isolated from one another and from other water sources like rivers and oceans
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occur on many rivers‚ forming a surrounding region known as flood plain. Rivers overflow for reasons like excess rainfall. The good thing about river overflows is the fact that as flood waters flow into the banks‚ sand‚ silt and debris are deposited into the surrounding land. After the river water subsided and go back to its normal flow‚ the deposited materials will help make the land richer or more fertile. The organic materials and minerals deposited by the river water keep the
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