Podcast
Questions and Answers
What is the unit of rate change of velocity in cgs?
What is the unit of rate change of velocity in cgs?
- cm.s−2 (correct)
- m.s−2
- kg.s−2
- g.s−2
What is the dimension of force gradient?
What is the dimension of force gradient?
- MLT−1
- ML2T−2
- MLT−2
- MT−2 (correct)
What is the unit of force gradient in MKS units?
What is the unit of force gradient in MKS units?
- g.s−1
- Kg.s−2 (correct)
- g.s−2
- Kg.s−1
Which of the following best describes numeric constants?
Which of the following best describes numeric constants?
What is the expression for the gradient of a quantity?
What is the expression for the gradient of a quantity?
What is the primary purpose of dimensional analysis in the context of mathematical equations?
What is the primary purpose of dimensional analysis in the context of mathematical equations?
Which of the following equations describes a linear relationship in physics according to dimensional analysis?
Which of the following equations describes a linear relationship in physics according to dimensional analysis?
In the equation X = V0 t + a t^2, what does V0 represent?
In the equation X = V0 t + a t^2, what does V0 represent?
What type of term is a t^2 in the equation X = V0 t + a t^2?
What type of term is a t^2 in the equation X = V0 t + a t^2?
Which dimension does the left-hand side of the equation X = V0 t + a t^2 represent?
Which dimension does the left-hand side of the equation X = V0 t + a t^2 represent?
What is the formula for calculating density?
What is the formula for calculating density?
What are the correct units for density in the context provided?
What are the correct units for density in the context provided?
What is the dimensional formula for density?
What is the dimensional formula for density?
In the equation ρ = m/V, if the mass doubles while the volume remains constant, what happens to the density?
In the equation ρ = m/V, if the mass doubles while the volume remains constant, what happens to the density?
Which of the following represents a common mistake in understanding density?
Which of the following represents a common mistake in understanding density?
What is the unit of energy in the given context?
What is the unit of energy in the given context?
How is energy measured in the cgs system?
How is energy measured in the cgs system?
What calculation is represented by the term '1000 x 10000 x 10^7'?
What calculation is represented by the term '1000 x 10000 x 10^7'?
Which of the following describes the relationship between Joules and cgs units?
Which of the following describes the relationship between Joules and cgs units?
What dimensional formula is used for energy according to the provided content?
What dimensional formula is used for energy according to the provided content?
What is the formula for acceleration?
What is the formula for acceleration?
In the formula for force, F = m × a, what do the symbols represent?
In the formula for force, F = m × a, what do the symbols represent?
What are the SI units of acceleration?
What are the SI units of acceleration?
What are the dimensional units for force?
What are the dimensional units for force?
What does the symbol 'v' represent in the acceleration formula?
What does the symbol 'v' represent in the acceleration formula?
What is the relationship between Joules and ergs?
What is the relationship between Joules and ergs?
What is the formula for calculating velocity?
What is the formula for calculating velocity?
Which dimension represents velocity?
Which dimension represents velocity?
What is the density formula?
What is the density formula?
What unit is equivalent to 1 Kg in g?
What unit is equivalent to 1 Kg in g?
What is the definition of a gradient?
What is the definition of a gradient?
Which statement about the refractive index is true?
Which statement about the refractive index is true?
The dimension of rate change of velocity is represented as?
The dimension of rate change of velocity is represented as?
To convert Km/h to m/s, which factor is used?
To convert Km/h to m/s, which factor is used?
What is the density dimension?
What is the density dimension?
Flashcards
Rate of velocity change cgs unit
Rate of velocity change cgs unit
The rate at which velocity changes, measured in centimeters per second squared (cm⋅s⁻²).
Gradient definition
Gradient definition
Rate of change of a quantity over distance.
Force gradient
Force gradient
Rate of change of force over distance.
Force gradient dimensions
Force gradient dimensions
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Numeric constant
Numeric constant
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Erg
Erg
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Joule
Joule
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Velocity
Velocity
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Velocity dimension
Velocity dimension
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Density
Density
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Density dimension
Density dimension
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Ratio
Ratio
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Rate
Rate
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Gradient
Gradient
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Refractive index
Refractive index
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Dimensional Analysis
Dimensional Analysis
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Equation correctness
Equation correctness
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Dimensions of L.H.S.
Dimensions of L.H.S.
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Equation: X = V₀t + ½at²
Equation: X = V₀t + ½at²
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Physical Experiment
Physical Experiment
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Density Formula
Density Formula
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SI Unit of Density
SI Unit of Density
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Density Units in CGS
Density Units in CGS
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Density Dimension
Density Dimension
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Density Symbol
Density Symbol
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Energy Unit
Energy Unit
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Joule (SI)
Joule (SI)
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Erg (cgs)
Erg (cgs)
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Energy Conversion
Energy Conversion
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Energy in cgs
Energy in cgs
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Acceleration Unit
Acceleration Unit
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Force Formula
Force Formula
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SI Unit of Force
SI Unit of Force
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Acceleration Dimension
Acceleration Dimension
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Force Dimension
Force Dimension
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Study Notes
Introduction to Biophysics
- Course: Biophysics
- Level: First Level
- Year: 2024-2025
- Instructors: Dr. Nermin Ali, Dr. Enas Lotfy
- Course Code: FAC-104
Dimensions and Units
- SI Units: A standardized system of units
- Basic Quantities: Length (L), Mass (M), Time (T), Electric Current (I), Temperature (Θ), Amount of substance (N), Luminous intensity (J)
- Derived Quantities: Calculated from basic quantities (e.g., velocity, acceleration, force, pressure).
- Scalar Quantities: Described only by magnitude (e.g., price, age, speed).
- Vector Quantities: Described by both magnitude and direction (e.g., force, velocity)
- Units: Standard measurements for dimensions (e.g., meters for length).
Basic Definitions
- Basic Quantity: A quantity that cannot be expressed in terms of other quantities.
- Basic quantities include: Length, Mass, Time.
- Other basic quantities include: Electric current, Luminous intensity, mole, temperature
Derived Quantities
- Derived Quantity: A quantity that can be expressed in terms of more than one basic quantity.
- Example quantities: Velocity, acceleration, force, pressure
Scalar Quantities
- A quantity defined only by its magnitude.
- Examples include: price, age, speed.
Vector Quantities
- A quantity defined by both magnitude and direction.
- Examples include: force, velocity.
Difference Between Dimension and Unit
- Dimension: Represents the physical nature of a quantity (e.g., length).
- Unit: Represents the standard for measuring a dimension (e.g., meters).
- Dimension defines what is being measured, while the unit defines how it is measured.
SI Base Quantities and Units
| Quantity | SI Unit | Symbol |
|---|---|---|
| Length | Meter | m |
| Mass | Kilogram | kg |
| Time | Second | s |
| Electric Current | Ampere | A |
| Temperature | Kelvin | K |
| Amount of substance | Mole | mol |
| Luminous intensity | Candela | cd |
Area and Volume
- Area: Length × Width, dimension [L2]
- Volume: Length × Width × Height, dimension [L3]
Dimension and Units of Basic and Derived Quantities
- Provides formulas and dimensions for various quantities (mass, length, time, area, volume, velocity, acceleration, force, pressure, viscosity, density.) and their units in MKS and CGS.
Converting Quantities from One System to Another
- Explaining how to convert quantities (like force, energy and velocity) from one system like MKS (meter, kilogram, second) to others like CGS (centimeter, gram, second).
- Shows the conversions
Ratio, Rate, Gradient
- Ratio: Comparison of similar quantities.
- Rate: Change in a quantity over time.
- Gradient: Change in a quantity over distance.
Refractive Index
- A ratio representing the change in the velocity of light as it passes from one medium to another.
- It has no dimensions and no units.
Velocity
- The rate of change of displacement with respect to time.
- Dimension: LT-1
- Units: m/s (MKS) or cm/s (CGS)
Density
- The ratio of mass to volume, dimension: ML−3
- Units: kilograms per cubic meter (MKS) or grams per cubic centimeter (CGS)
Difference between Numeric and Physical Constants
- Numeric constant: Does not have dimensions nor units
- Physical constant: Has both dimension and units.
Dimensional Analysis
- A technique to check the consistency of equations.
Gravitational Constant
- The constant in Newton's law of universal gravitation.
- Dimension: M-1L3T-2.
- Unit in MKS: kg-1m3s-2.
- Unit in CGS: g-1cm3s-2
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