Dimensional Formulae and Dimensional Equations | Physics
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The document describes dimensional formulae, which define physical quantities in terms of fundamental quantities, exemplified by the dimensional formula of velocity as [m0lt-1]. It also explains dimensional equations, where a physical quantity's dimension is equated with its dimensional formula, such as [v] = [m0lt-1]. Limitations of dimensional analysis include the inability to predict constants and find proportionality constants between different physical quantities.
![Dimensional Formulae
The formulae which are used to define a physical
quantity in terms of fundamental quantities are
called dimensional formulae
For example dimensional formula of velocity is
[M0LT-1]
Dimensional formulae of trigonometric,
logarithmic and exponential functions are not
defined as they are dimensionless](https://image.slidesharecdn.com/dimensionalformulaeanddimensionalequations-170613135059/85/Dimensional-Formulae-and-Dimensional-Equations-Physics-2-320.jpg)
![Dimensional Equations
When we equate dimension of a physical quantity
with its dimensional formula we get a dimensional
equation
For example, dimensional equation of velocity is
given as [v] = [M0LT-1]](https://image.slidesharecdn.com/dimensionalformulaeanddimensionalequations-170613135059/85/Dimensional-Formulae-and-Dimensional-Equations-Physics-4-320.jpg)
Dimensional Formulae and Dimensional Equations | Physics
- 2. Dimensional Formulae The formulae which are used to define a physical quantity in terms of fundamental quantities are called dimensional formulae For example dimensional formula of velocity is [M0LT-1] Dimensional formulae of trigonometric, logarithmic and exponential functions are not defined as they are dimensionless
- 3. Applications of Dimensional Formulae In expressing a physical quantity in terms of fundamental quantity by raising them to certain powers They are used in dimensional analysis in order to convert units from one system to another
- 4. Dimensional Equations When we equate dimension of a physical quantity with its dimensional formula we get a dimensional equation For example, dimensional equation of velocity is given as [v] = [M0LT-1]
- 5. Limitations We can’t predict nature of constants, trigonometric and logarithm functions with the help of dimensions We can’t find proportionality constants while deriving relation between different physical quantities
- 6. Hey Friend, This was just a summary on Dimensional Formulae and Dimensional Equations. For more detailed information on this topic, please type the link given below or copy it from the description of this PPT and open it in a new browser window. www.askiitians.com/iit-jee-physics/general- physics/dimensional-formulae-and-dimensional- equations/