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- Matter exists in five states: solid, liquid, gas, plasma, and Bose-Einstein condensate (BEC).
- Plasma is often referred to as the fourth state of matter, distinct from solid, liquid, and gas.
- The Bose-Einstein condensate (BEC) is known as the fifth state of matter, discovered in 1995.
- Plasma is a hot, ionized gas where atoms lose electrons, creating a mixture of ions and free electrons.
- Plasma forms at extremely high temperatures, where t
- Matter exists in three primary states: solid, liquid, and gas.
- Solids have a definite shape and volume due to strong intermolecular forces.
- Liquids have a definite volume but take the shape of their container.
- Gases have neither a fixed shape nor a fixed volume and expand to fill their container.
- The particles in solids are closely packed and have limited movement, resulting in a rigid structure.
- Liquids
- Simple Harmonic Motion (SHM) is a type of oscillatory motion where the restoring force is proportional to displacement and acts in the opposite direction.
- The time period (T) of SHM is the time taken to complete one full oscillation.
- The frequency (f) is the number of oscillations completed in one second.
- The relationship between time period and frequency is given by f = 1/T.
- The amplitude (A) is the maximum displacement of the oscillating particle from its equilibrium p
- Oscillation is the repetitive motion of a system about its equilibrium position.
- Simple Harmonic Motion (SHM) is a special type of oscillation where the restoring force is proportional to displacement and acts in the opposite direction.
- A system undergoing SHM exhibits a periodic motion with constant frequency and time period.
- The motion of a simple pendulum and a mass attached to a spring are classic examples of SHM.
- The equation of motion for SHM is F = -kx
- Simple Harmonic Motion (SHM) is a type of periodic motion where the restoring force is directly proportional to the displacement and acts in the opposite direction.
- The equation governing SHM is F = -kx, where F is the restoring force, k is the force constant, and x is the displacement from equilibrium.
- In SHM, the motion occurs around a fixed equilibrium position.
- The restoring force in SHM is responsible for bringing the object back to its equilibrium position.
- SHM is a form of
- An artificial satellite is a man-made object placed into orbit around a celestial body, primarily Earth.
- Artificial satellites are launched using rockets or space vehicles.
- They remain in orbit due to the balance between the gravitational pull of the Earth and their centripetal force.
- Satellites follow the laws of orbital motion as described by Kepler and Newton.
- The orbital velocity of a satellite depends on its altitude and the mass of the central body.
- Low Ear
- Gravitational Potential Energy (U) is the energy possessed by an object due to its position in a gravitational field.
- The formula for gravitational potential energy is U = -G(m₁m₂ / r), where G is the gravitational constant, m₁ and m₂ are the masses, and r is the distance between their centers.
- The negative sign in U indicates that gravitational force is attractive, and energy must be supplied to separate the masses.
- The gravitational potential at a point is defined as the potential energy per u
- The acceleration due to gravity (g) is the acceleration experienced by an object due to the gravitational pull of the Earth.
- The standard value of g at the Earth's surface is approximately 9.8 m/s².
- g is calculated using the formula g = GM/R², where G is the gravitational constant, M is the Earth's mass, and R is its radius.
- The value of g is maximum at the Earth’s surface and decreases with altitude, depth, and latitude.
- At higher altitudes, g decreases because the dist
- Newton’s Law of Gravitation states that every particle in the universe attracts every other particle with a force directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
- The mathematical expression for gravitational force is F = G (m₁m₂ / r²), where G is the gravitational constant, m₁ and m₂ are the masses, and r is the distance between the centers of the masses.
- The gravitational constant (G) has a value of approximately 6.674 × 10⁻¹¹ N·m²/kg² in SI un
- The Law of Conservation of Energy states that energy can neither be created nor destroyed, only transformed from one form to another.
- In an isolated system with no external forces, the total energy remains constant.
- Mechanical energy, the sum of kinetic energy (KE) and potential energy (PE), is conserved in systems with no non-conservative forces like friction.
- In real-world systems, some energy is converted into heat or other non-mechanical forms due to dissipative forces.