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Learn To Converge Your Dreams with Durgam Vigyan Sansthana Institute. Q1. A diver in a swimming pool bends his head before diving. Why? a) Increases his linear velocity b) Decreases his angular velocity c) Increases his moment of inertia d) Decreases his moment of inertia Concept: Conservation of angular momentum L = Iω = constant When the diver bends his head, his mass comes closer to the axis of rotation. Hence, moment of inertia decreases. To conserve angular momentum, angular velocity increases. Correct Answer: (d) Decreases his moment of inertia Q2. The angular momentum of a system of particles is conserved when a) No external force acts b) No external torque acts c) No external impulse acts d) Axis of rotation remains same Angular momentum changes only if external torque is applied. τ = dL/dt If external torque is zero, angular momentum remains constant. ...

Learn To Converge Your Dreams with Durgam Vigyan Sansthana Institute. 📘 Physics MCQ Test Paper 1. What is the SI unit of force? A. Joule B. Newton C. Pascal D. Watt ✔ Answer: B — Force = mass × acceleration → Newton 2. Speed of light in vacuum is approximately? A. 3 × 10⁶ m/s B. 3 × 10⁸ m/s C. 3 × 10⁵ m/s D. 3 × 10⁷ m/s ✔ Answer: B — Universal constant 3. Which law explains action and reaction? A. First Law B. Second Law C. Third Law D. Law of Gravitation ✔ Answer: C — Newton’s Third Law 4. Unit of electric current? A. Volt B. Ohm C. Ampere D. Coulomb ✔ Answer: C — Ampere 5. Which particle has no charge? A. Proton B. Electron C. Neutron D. Positron ✔ Answer: C — Neutron 6. Formula for kinetic energy? A. mv B. mv² C. ½mv² D. mgh ✔ Answer: C — ½mv² 7. Which device c...

BMI & Calorie Calculator - Durgam Vigyan Sansthana Durgam Vigyan Sansthana Health & Nutrition Calculators BMI Calculator Weight (kg): Height (cm): Calculate BMI Calorie Calculator Age (years): Gender: Male Female Activity Level: Sedentary (little or no exercise) Lightly active (light exercise) Moderately active (moderate exercise) Very active (hard exercise) Extra active (very hard exercise) Weight (kg): Height (cm): Calculate Daily Calories Daily Calorie Intake Recommendations For Adults: - Sedentary women: 1,800–2,000 kcal/day - Sedentary men: 2,200–2,400 kcal/day - Moderately active women: 2,000–2,200 kcal/day - Moderately active men: 2,400–2,800 kcal/day - Active women: 2,200–2,400 kcal/day - Active men: 2,800–3,000 kcal/day © 2025 Durgam Vigyan Sansthana | Promoting Health...

IIT JEE Advanced Physics MCQs Learn To Converge Your Dreams with Durgam Vigyan Sansthana Institute Solve these IIT JEE advanced physics MCQs. Click "View Solution" to see the detailed explanation. Question 1: A ball is thrown vertically upwards with a velocity of 20 m/s. What is the maximum height reached? (g = 9.8 m/s²) A) 10.2 m B) 15.3 m C) 20.4 m D) 25.5 m View Solution Solution: At maximum height, v = 0. Using v² = u² - 2gh → 0 = 400 - 19.6h → h = 20.41 m. Correct answer: C. Question 2: A block of mass 5 kg is pushed on a frictionless surface with a force of 10 N. What is the acceleration? A) 1 m/s² B) 2 m/s² C) 3 m/s² D) 4 m/s² View Solution Solution: F = ma → a = F/m = 10/5 = 2 m/s². Correct answer: B. Question 3: A capacitor of capacitance 10 μF is charged to 50 V. What is the energy s...

Nanomaterials are a fascinating field of study encompassing materials with at least one dimension in the nanometer scale, typically ranging from 1 to 100 nanometers. At this scale, materials often exhibit unique and novel properties due to quantum effects and increased surface area compared to their bulk counterparts. Nanomaterials have found applications across various fields, including electronics, medicine, energy, and environmental remediation. This essay aims to explore the diverse types, properties, synthesis methods, and applications of nanomaterials in detail.   Introduction to Nanomaterials   Nanomaterials refer to materials with dimensions on the nanometer scale, typically 1-100 nanometers. At this scale, materials often exhibit distinct properties due to quantum effects and increased surface area compared to their bulk counterparts. The properties of nanomaterials can vary significantly depending on their composition, size, shape, and structure. Nanomaterial...

Learn To Converge Your Dreams with Durgam Vigyan Sansthana Institute. Technological Advancements: 1. Capabilities of AI: AI technology has advanced rapidly in recent years, with systems like machine learning and natural language processing achieving remarkable feats in tasks such as image recognition, language translation, and data analysis. 2. Automation: AI is increasingly being used to automate repetitive tasks across various industries, leading to increased efficiency and productivity. This automation has the potential to replace certain human jobs, particularly those involving routine, predictable tasks. AI Generated Image-1 AI Generated Image-2 3. Specialized Tasks: AI systems are becoming increasingly specialized and proficient in specific domains. For example, in healthcare, AI can assist in medical diagnosis and drug discovery. In finance, AI algorithms can analyze market data and make investment decisions. Economic Implications: 1. Job Displacement: The automation of task...

Learn To Converge Your Dreams with Durgam Vigyan Sansthana Institute.           Nikola Tesla was a pioneering inventor, electrical engineer, mechanical engineer, and futurist who made significant contributions to the development of alternating current (AC) electrical systems, which revolutionized the way electricity was transmitted and utilized. Here's a brief biography of his life: Early Life and Education:      Nikola Tesla was born on July 10, 1856, in Smiljan, which was then part of the Austrian Empire (modern-day Croatia). He was the fourth of five children in his family. His father, Milutin Tesla, was a Serbian Orthodox priest, while his mother, Georgina, was skilled in inventing various household appliances.      Tesla studied electrical engineering at the Austrian Polytechnic in Graz and later at the Charles-Ferdinand University in Prague. However, his true passion lay in pursuing innovative ideas rather than adhering s...