Notes, summaries, assignments, exams, and problems for Physics

Santa Maria degli Angeli (Florence)

(Demolished after 3 years)

• Blended integration and relation of elements.
• Centralized floorplan: Representing an aesthetic ideal and an expression of the order of the universe – absolute symmetry.
• Surrounded by a world of well-proportioned beauty.
• Relation with Villa Rotonda; centralized building as a key urban form.

Michelozzo: Palazzo Medici (Florence)

• An urban palace where the facade is an important aspect.
• The wall treatment softens and smooths in the upper levels, representing the wealth of the Medici family.
• Exterior conveys solemnity, giving higher status to the city as well.
• Features a very heavy cornice at the top.

Leon Battista Alberti: Theory and Practice

• Had extensive contact with Florentine Humanists; friend

Thermal Expansion and Heat Energy Calculations

Section 4.1-2: Thermal Properties

The change in length due to thermal expansion is calculated using the following formula:

L₂ - L₁ = αL₁(T₂ - T₁)

• α (Alpha): Coefficient of thermal expansion, measured in °C^-1 or °F^-1.
• L₁ & L₂: Initial and final lengths, measured in mm (in), corresponding to temperatures T₁ & T₂.

Heat Energy Required for Temperature Change

The amount of heat energy ($H$) required to change the temperature of a material is given by:

H = C W (T₂ - T₁)

• H: Amount of heat energy, measured in J (Btu).
• C: Specific heat of the material, measured in J/Kg°C (Btu/lb°F).
• W: Weight of the material, measured in kg (lb).
• (T₂ - T₁): Change in temperature, measured in °C (°F).

Volumetric Specific

Numerical Methods for Solving Equations

1.1 Solving an Algebraic System

This code defines a function f(V) and then solves the system f([x,y,z]) = [x,y,z] to find its fixed points using the algsys command.

faux(x,y,z) := [(x^2)/2 + 1/3, x+y+z/4, x^2-y^2+(z^2)/4];
f(V) := faux(V[1], V[2], V[3]);

ecus : f([x,y,z]) - [x,y,z];
algsys(ecus, [x,y,z]), numer;

1.2 Fixed-Point Iteration Method

This block implements the fixed-point iteration method. It starts with an initial guess (seed) and iteratively applies the function f until the norm of the difference between successive iterations is smaller than a given tolerance (10^-14).

nor(V) := sqrt(V.V);
fpprec:100;

block(
  semilla:[0,0,0],
  while nor(f(semilla)-semilla) > 10^(-14) do 
    semilla:bfloat(

Mamíferos: Las hembras tienen mamas que producen leche para alimentar a las crías, el cuerpo está cubierto por pelos. La función principal es proteger del frio al animal.
Pelaje: raíz dentro del funículo piloso .Los pelos nuevos sacan los pelos viejos. La glándula sebácea lo hace más flexible el pelo. Lana (largo y fino), cerda (áspero y grueso), vello (suave y corto) y púa (largo y puntiagudo)
La temperatura: Es constante. Si sube o baja la temperatura siempre se mantiene constante.
Hibernación: desciende -10 Cº / Duerme no come y se esconde.
Invernación: baja la temperatura pero un duerme profundamente, come y hace algunas actividades.
La fecundación interna se produce en el ovulo con el esperma.
Sistema digestivo: Boca -faringe-

A/C/B/D/A/B/B/B/B/C/A/B/A/D/A/C/C/C/A/B/D/A/A/B/B/A/C/D/B/D

1. Stopwatch Accuracy

a) Stopwatch

b) To have more accuracy

c) i) 3rd

ii) (3.93 + 4.07 + 3.99) / 3 = 11.99 / 3 = 4

iii) 4 / 10 = 0.40

2. Water Speed Measurement

a) First, measure the distance between bridge X and bridge Y. Then, place the stick in the water at bridge X and time how long it takes to reach bridge Y. Calculate the speed by dividing the distance by the time. Repeat this process at least three times. Add all the results together and divide by three to get the average speed.

b) 2nd box

3. Acceleration and Force

a) i) 24 / 60 = 0.4 m/s²

ii) 7.5 × 10⁵ × 0.4 = 300,000 N

b) Speeding up / Slowing down / Steady speed / At rest

4. Resultant Force and Density

a) i) 280 - 250 = 30 N

ii) Up

b)... Continue reading "Physics Exam Answers and Explanations" »

Matter exhibits both particle and wave nature. The derivation of the De Broglie equation establishes the fundamental relationship between these two natures of a particle.

Louis de Broglie's Hypothesis on Dual Nature

In 1924, the French physicist Louis de Broglie proposed that electrons also possess particle and wave characteristics, just as photons or light. According to his hypothesis, every particle exhibits dual characteristics. Furthermore, he indicated that the path of electrons is wavy, similar to light having a definite frequency. For this groundbreaking theory, De Broglie received the Nobel Prize in Physics in 1929.

The De Broglie Equation and Confirmation

The experiment of cathode-ray diffraction by George Paget Thomson and the Davisson–Germer... Continue reading "Deriving the De Broglie Wavelength Equation" »

ਪੰਜਾਬੀ ਵਿਆਕਰਨ: ਸੰਗਿਆਤੀ ਤੇ ਤਤਸਮ ਸ਼ਬਦ

ਪੰਜਾਬੀ ਵਿਆਕਰਨ ਵਿੱਚ ਸੰਗਿਆਤੀ ਸ਼ਬਦ ਅਤੇ ਤਤਸਮ ਸ਼ਬਦ ਦੋ ਵੱਖੋ-ਵੱਖਰੇ ਪਰ ਮਹੱਤਵਪੂਰਨ ਸੰਕਲਪ ਹਨ ਜੋ ਸ਼ਬਦਾਂ ਦੇ ਮੂਲ ਅਤੇ ਉਹਨਾਂ ਦੇ ਵਿਕਾਸ ਬਾਰੇ ਜਾਣਕਾਰੀ ਦਿੰਦੇ ਹਨ। ਆਓ, ਇਨ੍ਹਾਂ ਨੂੰ ਸਮਝੀਏ:

ਸੰਗਿਆਤੀ ਸ਼ਬਦ (Cognates)

ਸੰਗਿਆਤੀ ਸ਼ਬਦ ਉਹ ਸ਼ਬਦ ਹੁੰਦੇ ਹਨ ਜਿਨ੍ਹਾਂ ਦੀ ਉਤਪਤੀ ਇੱਕੋ ਹੀ ਮੂਲ ਭਾਸ਼ਾਈ ਜੜ੍ਹ (common... Continue reading "ਪੰਜਾਬੀ ਵਿਆਕਰਨ ਦੇ ਮਹੱਤਵਪੂਰਨ ਅੰਗ: ਸ਼ਬਦ, ਵਾਕ ਤੇ ਵਿਸ਼ੇਸ਼ਣ" »

Fundamental Concepts in Physics

The Atom

An atom is composed of electrons, protons, and neutrons.

Temperature

Temperature is the physical quantity that describes the sensation of cold or hot, directly related to the average kinetic energy of molecules. It represents the average kinetic energy of each molecule.

Heat

Heat is the transfer of energy from one body to another due to a temperature difference. It is a form of energy that can be perceived through temperature variations.

Types of Thermal Expansion

• Linear Expansion
• Surface Expansion
• Volumetric Expansion

Thermodynamics

Thermodynamics is the branch of physics that studies heat transfer and the conversion of energy into its various forms.

Laws of Thermodynamics

• Zeroth Law
• First Law
• Second Law

Zeroth Law

Electrostatics Fundamentals

This document covers key concepts in electrostatics, including properties of electric charge, Coulomb's Law, and electric fields.

Properties of Electric Charge

Here are four fundamental properties of electric charge:

1. Additivity of Charges: The total charge of a system is the algebraic sum of all individual charges present in the system.
2. Conservation of Charge: The total charge of an isolated system remains unchanged over time. Charge can neither be created nor destroyed, only transferred.
3. Quantization of Charge: The total charge of a body is always an integral multiple of a basic quantum of charge, denoted as 'e'. This means charge q can only exist as q = ±ne, where n is an integer (1, 2, 3, ...).
4. Interaction of Charges:

Biology Fundamentals

Genetics: DNA and RNA

• DNA: Double helix structure; carries genetic information. Bases pair A–T and C–G.
• RNA: Single strand; uses Uracil (U) instead of Thymine (T); assists in protein synthesis.

Cell Division

• Mitosis: Results in two identical daughter cells; essential for growth and repair.
• Meiosis: Results in four genetically different cells; produces gametes (sperm and egg).

Chromosomes

• Humans possess 23 pairs, totaling 46 chromosomes:
  • 22 pairs are autosomes.
  • 1 pair consists of sex chromosomes (X/Y).
• Sex determination: Males are XY; Females are XX.

Inheritance Principles

• Dominant Allele: Expressed even if only one copy is present.
• Recessive Allele: Expressed only when two copies are present.
• Use Punnett squares to predict trait outcomes