APPLICATION OF TRIGONOMETRY(Height and Distance) 10th maths test paper with answer View/Download
APPLICATION OF TRIGONOMETRY: Assignment SA-2 Class X Topic : Height And Distance View/Download For more visit link :{ Height and Distance } 1. The angle of elevation of the top of a tower, from a point on the ground and at a distance of 150 m from its foot, is 30°. Find the height of the tower correct to one decimal place. 2. From a point P on the level ground, the angle of elevation of the top of a tower is 30°. If the tower is 100 m high, how far is P from the foot of tower? 3. A kite is flying at a height of 75 meters from the level ground, attached to a string inclined at 60° to the horizontal. Find the length of the string to the nearest meter. 4. If the length of a shadow cast by a pole be √3 times the length of the pole, find the angle of elevation of the sun. 5. The angle of elevation of a cloud from a point 200 meters above a lake is 30° and the angle of depression of its reflection in the lake is 60°. Find the height of the cloud. 6. (a) From a boat 300 meters away from a vertical cliff, the angles of elevation of the top and the foot of a vertical concrete pillar at the edge of the cliff are 55° 40' and 54°20' respectively. Find the height of the pillar correct to the nearest meter. (b) From a man M, the angle of elevation of the top of a tree is 44°. What is the angle of elevation from the man of a bird perched half way up the tree? 7. The upper part of a tree broken by wind, falls to the ground without being detached. The top of the broken part touches the ground at an angle of 38° 30' at a point 6 m from the foot of the tree. Calculate (i) the height at which the tree is broken. (ii) the original height of the tree correct to two decimal places. 8. The angle of elevation of the top of a tower from a point A (on the ground) is 30°. On walking 50 m towards the tower, the angle of elevation is found to be 60°. Calculate (i) the height of the tower (correct to one decimal place). (ii) the distance of the tower from A. 9. From the top of a church spire 96 m high the angles of depression of two vehicles on a road, at the same level as the base of the spire and on the same side of it are x° and y°, where tan x° = 1/4 and tan y° = 1/7. Calculate the distance between the vehicles. 10. The shadow of a vertical tower on level ground increases by 10 m, when the altitude of the sun changes from 45° to 30°. Find the height of the tower correct to one decimal place. Answers 1. 86·6 meters 2. 173·2 m 3. 86·6 m 4. 30° 5. 400 m 6. (a) 21 m (b) 25° 46' 7. (i) 4·77 m (ii) 12·44 m 8. (i) 43·3 m (ii) 75 m 9. 288 m 10. 13·7 m
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Class – IX Surface area Subject - Mathematics
[Section (A)] 5 x 1 =5 1.Find the curved surface area of a cone having slant height 10 cm and circumference of base is 44 cm. 2. Find the total surface area of a sphere having diameter 14 cm. 3. Three cubes each of side 5 cm are joined end to end. Find the surface area of the resulting cuboids. 4. A rectangular sheet of paper 44 cm x 18 cm is rolled out along its length and a cylinder is formed. Find the radius of the cylinder formed. 5.The inner diameter of the well is 3.5 m and 10 m deep find: Inner curved area [Section (B)] 5 x 2 = 10 6. A hemispherical bowl made of brass has inner diameter 10.5 cm. find the cost of tin painting it on the inside at the rate of Rs 16 per 100 cm square. 7. The height of a cone is 16 cm and its base radius is 12 cm. find the curved and total surface area of the cone. Use, π = 3.14. 8. Find the lateral surface area of a closed cylindrical patrol storage tank that is 4.2 m in diameter and 4.5 m high. 9. The radius and slant height of a cone are in the ratio 4:7. If it’s curved surface area of this cone is 792 cm2. Find its radius. ( use p = 22/7) The diameter of the moon is one third of the earth. Find out the ratio of the surface area of the moon and earth. [Section (C)] 2 x 5 = 10 10. A wooden toy in the form of cone surmounted on a hemisphere. The diameter of the base of the cone is 6 cm and height is 4 cm. find the cost of painting the toy at the rate of Rs 5 per 1000 cm2 11. A heap of wheat is in the form of a cone whose diameter is 10.5 m and height is 3 m. The heap is to be covered by canvas to protect it from rain. Find the area of the canvas required. Or A storage tank consists of circular cylinder with a hemisphere adjoined on either end. If the external diameter of the cylinder is 1.4 m and its length be 8 m. find the cost of painting it on the outside at the rate of Rs. 10 per m2. Class VI LESSON: ELECTRICITY AND CIRCUIT MCQ’S
Choose the correct answer from the bracket. 1. In electric bells electric energy transform in to ____________energy. (a)Mechanical energy (b) Magnetic energy (c) Sound energy (d) Light energy 2. ----------- is the positive terminal of an electric cell. (a) Metal disc (b) Metal case (c) Metal cap (d) Metal base 3.The tiny coiled metal wire present inside the bulb is called____________. (a) Element (b) Conductor (c) Filament (d) None of these 4. A combination of two or more electric cells is called___________. (a) Electric circuit (b) Battery (c) Terminals (d) None of these 5. An electric bulb has ____________terminals. (a) 3 (b) 4 (c) 1 (d) 2 6 ----------- is an electric device which easily closes or opens an electric circuit. (a) Filament (b) Electric bulb (c) Electric switch (d) Electric cell 7. A material which does not allow the electricity to pass through it is___________. (a) Conductor (b) Electric cell (c) Insulator (d) None of these. 8. Non metals like __________and __________are conductors of electricity. (a)Wood and paper (b) Graphite and gas carbon (c) Glass and rubber (d) None of theses 9. A material which allows the electricity to pass through it is ________. (a) conductor (b) Insulator (c) Transistor (d) None of these 10. Electric energy is produced from the____________ within the cell. (a) Chemicals (b) Metals (c) Terminals (d) None of these ANSWER KEY FOR ELECTRICITY & CIRCUITS 1)B 2)C 3)C 4)B 5)D 6)C 7)C 8)B 9)A 10)A Visit given links for further study:Solved Questions 1 to 10 visit link: View/Download Solved Questions 11 to 21 visit link: View/Download 6th Electricity and Circuit CBSE Test paper-1 Download File 6th Electricity and Circuit CBSE Test paper-2 Download File
Does every time when H2 and O2 combine, form only water?
Not every time. The product of any reaction depends on the condition the reactions i.e. temperature, pressure, catalyst etc... 2H2+O2→2H2O (water) Apart from water, H2 and O2 combine to form hydrogen peroxide(H2O2) also. H2+O2→H2O2 (hydrogen peroxide) The mass of a particular substance is remain same even 1 mole of atom or 1 molecules of of any substance contains 6.022 ×10 23 atom /molecules justify? Atomic mass or molecular it is expressed in g mol-1 i.e. it is the mass of 1 mole (6.03x1023) of atoms or molecules which is always a fixed quantity. For example.. Molecular mass of H2O is 18 g i.e. mass of 1 mole (6.03x1023 ) water molecule = 18g Mass of 1 water molecule = 18/6.03x1023 = 2.988 x 10-23 g And We know that 1 g = 1/ 1.66 x10-24 amu So 2.988 x 10-23 g =(2.988 x 10-23 g) /1.66 x10-24 amu = 18 amu or 18 u What is atomicity? Atomicity of ion may be defined as the number of atom present in that ion . For example.. · Al3+ atomicity is 1. · O2 - atomicity is 2. Atomicity is the number of atoms of an element present in one molecule of that element. For example, there are 2 atoms of hydrogen present in H2 molecule. So its atomicity is 2. The gases can be Monatomic, example: Helium (He)Carbon (C) Diatomic, example: hydrogen (H2) tri atomic , example: ozone (O3) Polyatomic, example: sulphur (S8). Give some examples of non ionic compounds? Non ionic compounds... CO2, C6H12O6, C6H6, CH4 How does the seventh postulate of Dalton's satisfy laws of constant proportional? The seventh postulate of Dalton's law states that In a given compound, the relative number and types of atoms are constant. The above statement means that the number of atoms of different elements in a compound is fixed and does not vary. We can say that the composition of a compound is fixed as same atoms will always combine in the same ratio. Thus a molecule of water will always have 2 atoms of hydrogen and one atom of oxygen. Remember: The postulate of Dalton’s atomic theory that “atoms can neither be created nor be destroyed” was a result of the law of conservation of mass. What is the mass of 0.5 mole of Cl2 gas? Molecular mass of Cl2 = 2 x atomic mass of Cl = 2 x35.5 =70 u Mass = molar mass x number of moles= 70u x 0.5 = 35.5 u NCERT Solutions for CLass 9th Science IX Chapter For Science Test Paper And Study Materials links Chapter: 3 Atoms and Molecules Chapter:4 Structure of the Atom YOU MUST VISIT THIS USE FULL LINK 9th chemistry Self-evaluation on Mole concept Numerical based on mole concept 9th ChemistryAtoms and Molecules MCQ 9th CBSE Science Chap 3 Atoms and Molecules Self study 9th Atoms and Molecules - Mole Concept and Problem 9th Atoms and Molecules Downloads |
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