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What value of x would cause the relation {(-1,6),(x, 8),(2,4),(3,4)} not to be a function?
Could እና would አጠቃቀም
Could: Past tense form of can.
Can - አሁን ማድረግ የምትችሉትን ነገር
ለመግለፅ
Could - ከዚህ በፊት ማድረግ
የምትችሉትን ነገር ለመግለፅ
Example: I can read newspapers.
ጋዜጣ ማንበብ እችላለሁ ( አሁን
ማድረግ የምትችሉት ነገር ነው )
I could read newspaper when
I was a child.
ልጅ እያለው ጋዜጣ ማንበብ እችል
ነበር (አሁን ማንበብ አልችልም
ማለት ነው )
Would: Past tense form of will.
Example:
- I know I will win
እንደማሸንፍ አውቃለው
- I knew I would win
እንደማሸንፍ አውቅ ነበር
Could: Possible situation
ሊሆን የምችል ሁኔታን ለመግለፅ እንጠቀማለን
Example:
It could rain tonight
ዛሬ ማታ ሊዘንብ ይችላል
She could finish the homework by tomorrow
የቤት ስራዋን ነገ ልትጨርስ ትችላለች
Would: Imaginary situation
ምናባዊ ሁኔታን/ምኞትን ለመግለፅ
Example:
I would travel if I had more money
ብዙ ገንዘብ ብኖረኝ አለምን እዞራለው ( ትርጉም: አሁን ገንዘብ የለኝም አለምን መዞር
አልቻልኩም)
She would learn French if she had the chance to move to Paris.
ወደ ፓሪስ የመሄድ ዕድል ብታገኝ ፈረንሳይኛ ትማራለች (ትርጉም: ወደ ፓሪስ አልሄደችም
ፈረንሳይኛም አልተማረችም)
Note: We can also use could in imaginary situations, however it's less
common.
- I would learn English if I had more time. ✅
- I could learn English if I had more time. X
Could: Making polite suggestions.
ትህትና የተሞላበት አስተያየት ለመስጠት
Example:
You could call her later
በኃላ ብትደውልላት ይሻላል
We could watch movie tonight
ዛሬ ማታ ፍልም ብናይ ይሻላል
Would: Making an offer
አንድ ሰው የምፈልገውን ለመጠየቅ ወይም ለማቅረብ
Example:
Would you like some coffee?
ቡና ትፈልጋለህ?
ሁለቱንም የምንጠቀመው መቼ ነው 🤔
Making request - አንድን ሰው የሆነ ነገር እንድያረግላችሁ ለመጠየቅ
Example:
Could you send me the letter?
ደብዳቤውን ልትልክልኝ ትችላለህ?
Would you mind helping me with the homework?
ቤት ስራዬን ልታግዘኝ ትችላለህ?
Note:
Would you mind opening the door ✅
Could you mind opening the door X
Asking for permission- ፈቃደኝነትን ለመጠየቅ
Could I borrow your book?
መፅሐፍህን መዋስ እችላለሁ?
Would you allow me to go?
እንድሄድ ትፈቅደኛለህ?
ለጀማሪዎች
Who's vs Whose(ልዩነታቸው ምንድነው )
Who's - ማነው
Who's - is the contraction form of - Who is and Who has.
Examples:
Who is standing at the door?
Who's is standing at the door?
በሩ ጋ የቆመው ማነው?
Who has eaten my banana
Who's eaten my banana
የኔን ሙዝ የበላው ማነው
Whose
Whose - used to indicate ownership
- ባለቤትነትን ለመግለፅ
Examples:
Whose cat is this?
ይሄ የማን ድመት ነው?
Whose key is this?
የማን ቁልፍ ነው
ይሄን እናንተ ሞክሩት 👇👇
1. ___ going to the meeting tomorrow?
A. Who's
B. Whose
መልሱን እና ማብራሪያ ኮመንት ስር ፃፉልኝ
I’m working _____ to pass my exam.
👍 - knew, 🤯 - no idea, 🔥 - guessed
How many students from your class _ from Kenya?
ኮመንት ላይ መልሱን እና ማብራሪያውን አስቀምጡልኝ 👌
Metals: Good conductors, malleable, ductile (e.g., iron, copper).
Nonmetals: Poor conductors, brittle in solid form (e.g., oxygen, sulfur).
Metalloids: Exhibit properties intermediate between metals and nonmetals (e.g., silicon, arsenic).
Periodic Properties
Certain properties of elements exhibit trends across periods and groups in the periodic table.
Atomic Radius: Generally decreases across a period and increases down a group.
Ionization Energy: Energy required to remove an electron; increases across a period and decreases down a group.
Electronegativity: Tendency of an atom to attract electrons; increases across a period and decreases down a group.
Advantages of Periodic Classification of Elements
The periodic classification provides a systematic way to organize elements based on their properties.
- Facilitates understanding of elemental behavior and relationships.
- Predicts chemical reactivity and bonding patterns.
- Aids in identifying trends and anomalies in elemental properties.
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Metals: Good conductors, malleable, ductile (e.g., iron, copper).
Nonmetals: Poor conductors, brittle in solid form (e.g., oxygen, sulfur).
Metalloids: Exhibit properties intermediate between metals and nonmetals (e.g., silicon, arsenic).
Periodic Properties
Certain properties of elements exhibit trends across periods and groups in the periodic table.
Atomic Radius: Generally decreases across a period and increases down a group.
Ionization Energy: Energy required to remove an electron; increases across a period and decreases down a group.
Electronegativity: Tendency of an atom to attract electrons; increases across a period and decreases down a group.
Advantages of Periodic Classification of Elements
The periodic classification provides a systematic way to organize elements based on their properties.
- Facilitates understanding of elemental behavior and relationships.
- Predicts chemical reactivity and bonding patterns.
- Aids in identifying trends and anomalies in elemental properties.
The Wave-Particle Duality of Matter and Energy
👉 The wave-particle duality describes how matter and energy exhibit both wave-like and particle-like properties.
👉This duality is fundamental to quantum mechanics.
❤ Wave Nature: Light and matter can behave as waves, characterized by wavelength and frequency. For ex, light exhibits interference and diffraction patterns.
❤ Particle Nature: Both light and matter can also behave as particles (photons for light, electrons for matter), possessing quantized energy.
De Broglie Hypothesis: Proposed that all matter has a wavelength associated with it, given by the equation \( \lambda = \frac{h}{p} \), where \( h \) is Planck's constant and \( p \) is momentum.
Implications: This duality leads to phenomena such as electron diffraction and the photoelectric effect, which cannot be explained by classical physics alone.
The Quantum Mechanical Model of the Atom
The quantum mechanical model replaces the classical view of electrons as particles in defined orbits with a probabilistic approach to their locations and energies.
Wave Functions:
Electrons are described by wave functions, which provide information about the probability of finding an electron in a particular region of space.
Schrödinger Equation:
A fundamental equation that describes how the quantum state of a physical system changes over time.
Heisenberg’s Uncertainty Principle
Formulated by Werner Heisenberg, this principle states that it is impossible to simultaneously know both the exact position and momentum of a particle.
Mathematical Expression:
\( \Delta x \cdot \Delta p \geq \frac{h}{4\pi} \), where \( \Delta x \)
is the uncertainty in position and \( \Delta p \) is the uncertainty in momentum.
Implication: This principle highlights the fundamental limits of measurement at the quantum level and suggests that observing a particle alters its state.
Quantum Numbers
- Quantum numbers describe the properties of atomic orbitals and the electrons in them.
Principal Quantum Number (n): Indicates the energy level and size of the orbital (n = 1, 2, 3,...).
Angular Momentum Quantum Number (l): Defines the shape of the orbital (l = 0, 1, 2,..., n-1).
Magnetic Quantum Number (m_l): Specifies the orientation of the orbital in space (m_l = -l, ..., 0, ..., +l).
Spin Quantum Number (m_s): Indicates the intrinsic spin of an electron (m_s = +1/2 or -1/2).
Shapes of Atomic Orbitals
Atomic orbitals have distinct shapes that are determined by their quantum numbers.
👉 s Orbitals: Spherical in shape (l = 0).
👉 p Orbitals: Dumbbell-shaped (l = 1), oriented along the x, y, and z axes.
👉 d Orbitals: More complex shapes (l = 2), including cloverleaf patterns.
👉 f Orbitals: Even more complex shapes (l = 3), involved in heavier elements.
Electronic Configurations and Orbital Diagrams
Electronic configurations describe the distribution of electrons among the various orbitals in an atom.
Aufbau Principle
Electrons fill orbitals starting from the lowest energy level to higher ones.
Pauli Exclusion Principle:
No two electrons in an atom can have identical sets of quantum numbers; each orbital can hold a maximum of two electrons with opposite spins.
Hund's Rule: Electrons will occupy degenerate orbitals singly before pairing up.
Ground State Electronic Configuration of the Elements
The ground state configuration refers to the lowest energy arrangement of electrons in an atom.
Example for Hydrogen (H): \(1s^1\)
- Example for Carbon (C): \(1s^2 2s^2 2p^2\)
Electronic Configurations and the Periodic Table of Elements
The Modern Periodic Table
The periodic table organizes elements based on increasing atomic number and recurring chemical properties.
Elements are arranged in rows (periods) and columns (groups or families).
Groups contain elements with similar valence electron configurations, leading to similar chemical behavior.
Classification of the Elements
Elements can be classified into metals, nonmetals, metalloids, and noble gases based on their properties.
የ 11ኛ ክፍል ኬሚስትሪ ምዕራፍ 1 ዳሰሳ
1. Historical Development of Atomic Nature of Substance
• Ancient Philosophies: The idea of atoms dates back to ancient Greece with philosophers like Democritus, who proposed that matter is made up of indivisible particles called "atomos."
• Dalton's Atomic Theory (1803): John Dalton formulated a scientific theory based on experimental evidence, proposing that atoms are the fundamental building blocks of matter.
• Discovery of Electrons (1897): J.J. Thomson discovered electrons, leading to the realization that atoms are not indivisible but composed of smaller particles.
• Rutherford's Gold Foil Experiment (1909): Ernest Rutherford discovered the atomic nucleus, suggesting that atoms consist mostly of empty space with a dense center.
• Quantum Mechanics (20th Century): Development of quantum mechanics led to the modern understanding of atomic structure, incorporating wave-particle duality and probabilistic electron locations.
▎2. Dalton's Atomic Theory and Modern Atomic Theory Postulates
Dalton's Atomic Theory:
1. All matter is made up of atoms, which are indivisible and indestructible.
2. Atoms of a given element are identical in mass and properties.
3. Compounds are formed by the combination of different types of atoms in fixed ratios.
4. A chemical reaction involves the rearrangement of atoms; atoms are neither created nor destroyed.
Modern Atomic Theory Postulates:
1. Atoms are composed of subatomic particles: protons, neutrons, and electrons.
2. Atoms can be divided into smaller particles (e.g., ions, isotopes).
3. Isotopes of an element have the same number of protons but different numbers of neutrons.
4. The behavior of electrons is described by quantum mechanics, which introduces uncertainty in their positions and energies.
▎3. Dalton's Experiments and Other Experiments to Characterize Atoms
Dalton's Experiments:
• Gas Laws: Dalton studied the behavior of gases, leading to the formulation of Dalton's law of partial pressures, which supported his ideas about atoms combining in fixed ratios.
Other Key Experiments:
1. Thomson's Cathode Ray Experiment:
• Setup: A cathode ray tube was used to emit rays from the cathode to anode.
• Observation: Rays were deflected by electric and magnetic fields, indicating they were charged particles (electrons).
• Conclusion: Atoms contain smaller negatively charged particles (electrons).
2. Rutherford's Gold Foil Experiment:
• Setup: Alpha particles were directed at a thin gold foil.
• Observation: Most passed through, but some were deflected at large angles.
• Conclusion: Atoms have a small, dense nucleus containing positively charged protons.
3. Millikan's Oil Drop Experiment:
• Setup: Tiny oil droplets were suspended in an electric field.
• Observation: By adjusting the electric field, he measured the charge on droplets.
• Conclusion: Determined the charge of an electron and allowed calculation of its mass.
▎4. Electromagnetic Radiation and Atomic Spectra
• Electromagnetic Radiation: Consists of waves of electric and magnetic fields traveling through space. It includes gamma rays, X-rays, ultraviolet light, visible light, infrared radiation, microwaves, and radio waves.
• Wave-Particle Duality: Light exhibits both wave-like and particle-like properties (photons).
• Atomic Spectra:
• When atoms absorb energy, electrons can jump to higher energy levels (excited state). When they return to lower energy levels, they emit light at specific wavelengths, creating a spectrum.
• Types of Spectra:
• Emission Spectrum: Produced when electrons drop to lower energy states; appears as bright lines on a dark background.
• Absorption Spectrum: Produced when electrons absorb specific wavelengths; appears as dark lines on a continuous spectrum.
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Grade 9 physics
#physics developed from the renaissance to the end of the 19th century, is called classical physics.
#Revolutionary discoveries starting at the beginning of the 20th century transformed physics from classical physics to modern physics.
#: Revolutionary discoveries starting at the beginning of the 20th century transformed physics from classical physics to modern physics. Many laws of classical physics have been modified during the 20th century, resulting in dramatic changes in technology, society, and our view of the universe
#There are many scientists whose thoughts and scientific contributions revolu tionized physics over the last few centuries. Some of the most famous ones are discussed below.
#Galileo Galilei (1564-1642) Galileo Galilei was an Italian astronomer, physicist and engineer. Galileo has been called the "father of observational astronomy", the "father of modern physics". the "father of the scientific method", and the "father of modern science". It was Galileo Galilei who first studied the solar system and the universe using a tele- scope.
#Isaac Newton (1643-1727) Sir Isaac Newton was an English mathematician, physicist, astronomer, theolo gian, and author. He is widely recognized as one of the greatest mathematicians and most influential scientists of all time. He developed the principles of modern physics, including the laws of motion and is credited as one of the great minds of the 17th-century making him a key figure in the scientific revolution of this century. Isaac Newton is famous for his laws of motion and gravity.
#Michael Faraday (1791-1867) Michael Faraday was an English scientist. He contributed to the study of electro- magnetism and electrochemistry. His main discoveries include the principles underlying electromagnetic induction, diamagnetism and electrolysis. In general Michael Faraday changed the world with magnet.
#James Prescott Joule(1818-1889) James Prescott Joule is an English physicist, mathematician and brewer. Joule studied the nature of heat, and discovered its relationship to mechanical work. This led to the law of conservation of energy Joule's work helped lay the founda- tion for the first of three laws of thermodynamics that describe how energy in our universe is transferred from one object to another or transformed from one form to another.
#Joule Marie Curie(1867-1934) Marie Curie, was a Polish-born French physicist and chemist who conducted pioneering research on radioactivity. She was the first woman to win a Nobel Prize for the discovery of the elements polonium and radium.
#Albert Einstein (1879-1955) Albert Einstein was a German-born theoretical physicist. He is widely acknowl- edged to be one of the greatest physicists of all time. Einstein is known for developing the theory of relativity, but he also made important contributions to the development of the theory of quantum mechanics.
የ9ኛ ክፍል physics unit1 ይህን ይመስላል አስተዬየታችሁን comments
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