# JUPEB WEEK 1: INTEGRATED MASTER PLAN ## ⚡ PHYSICS: Physical Quantities, Dimensions & Vectors ### Core Definitions - Fundamental Quantities: Independent primary metrics (Mass $M$, Length $L$, Time $T$, Temperature $\theta$, Current $I$). - Dimensional Homogeneity: Structural rule stating all terms in an equation must possess matching base units. - Vector vs Scalar: Vectors contain absolute magnitude and directional alignment; scalars express magnitude exclusively. ### Key Formulas - Force Equation Dimensions: $[Force]=M^1L^1T^{-2}$ - Vector Dot Scalar Product: $\vec{A}\cdot\vec{B}=AB\cos\theta$ - Vector Cross Product Magnitude: $|\vec{A}\times\vec{B}|=AB\sin\theta$ ### 25-Mark Theory Essay Practice - Q: Define the principle of dimensional homogeneity and evaluate whether the kinematic function $v^2=u^2+2as$ is dimensionally stable. - Model Points: 1. Define the homogeneity principle clearly. 2. Evaluate left-hand side: $[v^2]=(L^1T^{-1})^2=L^2T^{-2}$. 3. Evaluate right-hand side components: $[u^2]=L^2T^{-2}$ and $[2as]=1\cdot(L^1T^{-2})\cdot(L^1)=L^2T^{-2}$. 4. Compare all terms to confirm matching dimensional arrays ($L^2T^{-2}$), validating structural consistency. --- ## 🧪 CHEMISTRY: Data Measurements, Atomic Structure & Layouts ### Core Definitions - Relative Atomic Mass ($A_r$): Calculated average atomic mass evaluated against $\frac{1}{12}$ of a stable $^{12}C$ isotope. - Orbital Mechanics Rules: Aufbau states lowest energy configurations fill first; Pauli forbids matching quantum states; Hund requires half-filling subshells before pairing. - Measurement Variances: Systematic variations alter accuracy in single directions; random variations alter precision unpredictably. ### Key Electron Configuration Structures - Hydrogen ($H$): $1s^1$ - Carbon ($C$): $1s^2 2s^2 2p^2$ - Oxygen ($O$): $1s^2 2s^2 2p^4$ ### 25-Mark Theory Essay Practice - Q: Describe the four quantum integers ($n,l,m,s$) utilizing electronic energy distributions to account for chromium's exceptional configuration stability. - Model Points: 1. State $n$ (principal energy level), $l$ (orbital subshell shape), $m$ (spatial orientation), and $s$ (spin orientation). 2. Express standard chromium configuration: $[Ar]3d^5 4s^1$. 3. Detail how the symmetric, half-filled $3d^5$ subshell maximizes exchange stability over an un-stabilized $3d^4 4s^2$ layout. --- ## 🧬 BIOLOGY: Scientific Inquiries & Introduction to Biomolecules ### Core Definitions - Scientific Methodology: Empirical loop consisting of Observation $\rightarrow$ Questioning $\rightarrow$ Hypothesis Formulation $\rightarrow$ Empirical Testing $\rightarrow$ Analytical Conclusion. - Condensation Reaction: Synthesis mechanism pairing molecular structures while dropping $H_2O$ units. - Hydrolysis Reaction: Cleavage mechanism splitting polymer chains by introducing reactive $H_2O$ units. ### Structural Biomolecule Frameworks - Monosaccharides: Structural base $(CH_2O)_n$ linking into polysaccharides via glycosidic bridges. - Amino Acids: Built from a central carbon bonded to an amino group ($-NH_2$), a carboxyl group ($-COOH$), and variable side-chains ($-R$). ### 25-Mark Theory Essay Practice - Q: Detail the structured execution of a controlled biological experiment, explaining the role of a null hypothesis ($H_0$) in validating results. - Model Points: 1. Isolate the independent experimental variable while binding all other background constants. 2. Detail quantitative data logging to counter observational bias. 3. Define $H_0$ as a baseline assumption asserting no actual variations exist between test subjects. 4. Use statistics to reject or fail to reject $H_0$, verifying if observed variances stem from variables or simple chance.

Brown v. Board of Education

Ruled that separate educational facilities are inherently unequal.

Outcome of Brown v. Board of Education (1954)

Separate facilities are inherently unequal.

Civil Rights Movement

A movement to end racial discrimination and promote equal rights.

Plessy v. Ferguson

Established the 'separate but equal' doctrine.

Jim Crow Laws

Laws that enforced racial segregation in the Southern United States.

Voting Rights Act of 1965

Legislation that aimed to eliminate barriers to voting for African Americans.

Roe v. Wade

A landmark decision that legalized abortion in the United States.

Affirmative Action

Policies designed to promote equal opportunity for historically marginalized groups.

Desegregation

The process of ending the separation of two groups, typically referring to races.

Black Lives Matter

A movement advocating for the rights and lives of Black individuals.