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Q. In the wet tests for identification of various cations by precipitation, which transition element cation doesn't belong to group IV in qualitative inorganic analysis? A. Fe³+ B. Zn²+ C. Co²+ D. Ni²+ Show Answer Ans: (A) Fe³+ Related Links: Click here

Semiconductors & Logic Gates – JEE Mains 2026 Revision Series This revision-friendly guide covers Semiconductors, Diodes, and Logic Gates with all high-yield formulae, shortcuts, learning traps, and JEE-style reasoning points. Designed for rapid yet complete revision. 🔥 Back to Revision Series Semiconductors – Core Concepts Definition: Materials with conductivity between conductors and insulators. Silicon (Si) and Germanium (Ge) are most common. Energy Band Concept Semiconductors have a small band gap (~1 eV) compared to insulators. Temperature increases free electron concentration. JEE Point: Intrinsic carrier concentration increases exponentially with temperature. Types of Semiconductors 1. Intrinsic Semiconductor Pure Si/Ge. Carriers generated by thermal excitation. 2. Extrinsic Semiconductor Formed by doping: N-type: doped with pentavalent impurity → electrons majority carriers. P-type: doped with trivalent impurity → holes majority...

Introduction to Rocket Engineering Rocket engineering is a fundamental field in aerospace engineering, focusing on the design, construction, and operation of rockets. Rockets are used in space exploration, defense systems, and satellite launches. This post will cover the basic principles of rocketry, key components, and some important derivations that form the foundation of rocket propulsion. 1. Overview of Rocket Engineering Rocket engineering involves the design and construction of vehicles capable of traveling through space. These vehicles, commonly referred to as rockets, rely on principles of physics to reach outer space. The engineering challenges in this field include overcoming gravity, managing extreme forces, and ensuring the safe operation of rockets. 2. Basic Principles of Rocketry Newton’s Third Law of Motion The working principle behind rockets is Newton's Third Law of Motion , which states: "For every action, there is an e...

Indefinite Integration – Complete Revision (JEE Mains & Advanced) Indefinite Integration is not about memorising random formulas — it is about identifying forms . JEE strictly rotates questions around a fixed set of standard integrals and methods . This note covers the entire official syllabus with zero gaps. 1. Definition \[ \int f(x)\,dx = F(x)+C \quad \text{where } \frac{dF}{dx}=f(x) \] 2. ALL Standard Integrals (Must Memorise) \(\int x^n dx = \frac{x^{n+1}}{n+1}+C,\; n\neq-1\) \(\int \frac{1}{x}dx = \ln|x|+C\) \(\int e^x dx = e^x+C\) \(\int a^x dx = \frac{a^x}{\ln a}+C\) \(\int \sin x dx = -\cos x + C\) \(\int \cos x dx = \sin x + C\) \(\int \sec^2 x dx = \tan x + C\) \(\int \csc^2 x dx = -\cot x + C\) \(\int \sec x\tan x dx = \sec x + C\) \(\int \csc x\cot x dx = -\csc x + C\) 3. SIX IMPORTANT FORMS (JEE CORE) Form 1: \(\int \frac{1}{x^2+a^2}dx\) \[ = \frac{1}{a}\tan^{-1}\frac{x}{a}+C \] Form 2: \(\int \frac{1}{\sqrt{a^2-x^2}}dx\) \[...