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Notes on Gravitation and Projectile Class 11 Physics

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 đź’ŽNotes on Gravitation and Projectile Gravitation:- Kepler’s first law (law of elliptical orbit):- A planet moves round the sun in an elliptical orbit with sun situated at one of its foci. Kepler’s second law (law of areal velocities):- A planet moves round the sun in such a way that its areal velocity is constant. Kepler’s third law (law of time period):- A planet moves round the sun in such a way that the square of its period is proportional to the cube of semi major axis of its elliptical orbit.Keplers Law of Planetary Motion T2 ∝ R3 Here R is the radius of orbit. T2 = (4Ď€2/GM)R 3 Newton’s law of gravitation:- Every particle of matter in this universe attracts every other particle with a forcer which varies directly as the product of masses of two particles and inversely as the square of the distance between them. F= GMm/r2 Here, G is universal gravitational constant. G = 6.67 ´10 -11 Nm2 / kg2 Dimensional formula of G: G = Fr2/Mm =[MLT-2][L2]/[M2] = [M-1L3T-2] Acceleration due...
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Carbohydrates || Lipids|| Proteins || Vitamins & Minerals || Fats and Oils

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Carbohydrates Carbohydrates are organic compounds composed of carbon, hydrogen, and oxygen, typically with a hydrogen-to-oxygen ratio of 2:1. They are one of the primary macronutrients and serve as a significant energy source for living organisms. They also play vital roles in the structure and function of cells. Sources of Carbohydrates Natural Sources: Plants: Grains (wheat, rice, maize), fruits (bananas, apples, mangoes), vegetables (potatoes, carrots), and legumes (lentils, beans). Dairy Products: Milk, yogurt. Sugars: Honey, sugarcane, and fruits. Processed Foods: Bread, pasta, cookies, and other carbohydrate-rich snacks. Functions of Carbohydrates Energy Source: Provide 4 kcal of energy per gram. Protein Sparing: Spare proteins from being used as energy sources. Structural Role: Form structural components like cellulose in plants. Storage: Serve as storage forms of energy (e.g., glycogen in animals and starch in plants). Sweetening Agents: Many ca...
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Data Mining || Supervised vs. Unsupervised Techniques || Dimensionality Reduction || Partitioning Methods

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                          Data Mining Need for Data Mining Data mining is the process of extracting meaningful patterns, trends, and knowledge from large datasets. Its need arises from: Data Explosion : Organizations generate massive amounts of data that need to be analyzed effectively. Decision-Making : It supports informed decision-making by identifying hidden patterns and correlations. Competitive Advantage : Helps businesses optimize processes, enhance customer relationships, and forecast trends. Automation : Reduces manual data analysis efforts and increases efficiency. Problem-Solving : Detects anomalies, predicts outcomes, and aids in problem-solving across domains. Data Mining Tasks Classification : Assigning items to predefined categories (e.g., spam email detection). Clustering : Grouping similar data points together without predefined labels (e.g., customer segmentation). Regression : Predicting ...
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2.0 gram of a metal burst in oxygen give 3.2 gram of its oxide. 1.42 gram of the same metal heat in steam give 2.27 gram of its oxide which toys shown by this data?

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Ques : 2.0 gram of a metal burst in oxygen give 3.2 gram of its oxide. 1.42 gram of the same metal heat in steam give 2.27 gram of its oxide which toys shown by this data?  Ans : In the first compound, 3.2 gram of metal oxide contained 2.0 gram of metal 100 gram of metal oxide contained metal =2.0/3.2 × 100= 62.5 g :· % metal in first compound= 62.5% In the second compound, 2.27 gram of metal oxide contains metal = 1.42 gram 100 gram of metal oxide contains the metal= 1.42/2.27×100=62.55 gram :· % metal in first compound= 62.55% Thus, the percentage of metal in metal oxide obtained from to experiment is nearly same. Hence, the above data illustrate the law of constant composition.  <<   Previous                                                       Next   >>
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Test and Measurement in Sports Case Study Based Questions Chapter 6 Class 12 Physical education

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 1. Mr. Lakshman, aged 65 years worked as a civil engineer in a construction company. He had to walk and climb a lot as part of his job. After retirement, he settled with his son spending time with his grandchildren. Now a days he is experiencing difficulty in doing certain chores which involves physical movement.  (i) Which of the following tests would you recommend to check Mr. Lakshman’s fitness? (a) Harvard step test  (b) Rikli & Jones test (c) AAHPER test (d) Rock port test (ii) How many series of tests are there in the prescribed fitness test for Mr. Lakshman? (a) 8  (b) 6 (c) 5  (d) 4 (iii) Chair sit & reach test is done to check ____________ (a) Agility (b) Speed (c) Flexibility (d) Strength (iv) Pick the odd one out. (a) Arm curl test (b) Chair stand test (c) 6 min walk test (d) Partial curl up (v) The 8 foot up &go test, as shown in the picture is performed to assess _________ (a) Agility (b) Endurance (c) Speed (d) Strength 2. (i) Both the...
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