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Edited Advanced Level Physics Paper 1

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PDF 22.52 MB 581 pages Jul 23, 2026

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Paper 1 Subject Physics
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CHAPTER 1: PHYSICAL QUANTITIES AND UNITS DIMENSIONS OF A PHYSICAL QUANTITY Physical quantities are divided into two groups: Fundamental quantities: are quantities which cannot be expressed in terms of any other quantities using any mathematical equation. Examples of fundamental physical quantities are; mass (M), Length (L) and time (T). Derived quantities: are quantities which can be expressed in terms of the fundamental physical quantities of mass, length and time. Derived quantities are also called dimensional quantities OR Derived quantities are those physical quantities which cannot be obtained by combining the fundamental quantities mathematically. Examples include; acceleration, speed, power, force, etc. Physical quantities that are not related to mass, length and time are called dimensionless or non-dimensional quantities. Examples include; relative density, refractive index, logarithms, trigonometric ratios, mechanical advantage, pure numbers, etc. Definition: Dimensions of a physical quantity shows the way a physical quantity (derived quantity is related to the fundamental physical quantities, of mass, length and time The symbol for dimensions is; [ ] Examples: [𝑚𝑎𝑠𝑠] = 𝑀 [𝑙𝑒𝑛𝑔𝑡ℎ] = 𝐿 [𝑡𝑖𝑚𝑒] = 𝑇 Area = length × width ⇒ [𝐴𝑟𝑒𝑎] = [𝑙𝑒𝑛𝑔𝑡ℎ] × [𝑤𝑖𝑑𝑡ℎ] =𝐿 × 𝐿 = L2 𝑣𝑜𝑙𝑢𝑚𝑒 = 𝑙𝑒𝑛𝑔𝑡ℎ × 𝑤𝑖𝑑𝑡ℎ × ℎ𝑒𝑖𝑔ℎ𝑡 ⇒ [𝑣𝑜𝑙𝑢𝑚𝑒] = [𝑙𝑒𝑛𝑔𝑡ℎ] × [𝑤𝑖𝑑𝑡ℎ] × [ℎ𝑒𝑖𝑔ℎ𝑡] =𝐿 × 𝐿 × 𝐿 = L3 Acceleration ⇒ [Acceleration] 𝐹𝑜𝑟𝑐𝑒 = 𝑚𝑎𝑠𝑠 × 𝑎𝑐𝑐𝑒𝑙𝑒𝑟𝑎𝑡𝑖𝑜𝑛 ⇒ [𝐹𝑜𝑟𝑐𝑒] = [𝑚𝑎𝑠𝑠] × [𝑎𝑐𝑐𝑒𝑙𝑒𝑟𝑎𝑡𝑖𝑜𝑛] = 𝑀 × 𝐿𝑇−2 =M𝐿𝑇−2 𝑊𝑜𝑟𝑘𝑑𝑜𝑛𝑒 = 𝐹𝑜𝑟𝑐𝑒 × 𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒 ⇒ [𝑊𝑜𝑟𝑘𝑑𝑜𝑛𝑒] = [𝐹𝑜𝑟𝑐𝑒] × [𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒] Trial question: Find the dimensions for energy, pressure, impulse, momentum Uses of dimensions Checking the consistency of equations To derive equations Checking equations For a correct equation, the units on the left hand side (LHS) should balance with those on the right hand side (RHS). This implies that the dimensions on the LHS should balance with those on …
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Edited Advanced Level Physics Paper 1, is an educational document on StudyUganda.com covering Paper 1, Subject Physics. This resource includes: "CHAPTER 1: PHYSICAL QUANTITIES AND UNITS DIMENSIONS OF A PHYSICAL QUANTITY Physical quantities are divided into two groups: Fundamental quantities: are quantities which cannot be ……" (Format: PDF) — 22.52 MB, 581 pages. Added July 23, 2026.

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