TO FIND RELATIONSHIP BETWEEN DIFFERENT PHYSICAL QUANTITY | DIMENSIONAL ANALYSIS | CBSE | ICSE |

TO FIND RELATIONSHIP BETWEEN DIFFERENT PHYSICAL QUANTITY | DIMENSIONAL ANALYSIS | CBSE | ICSE |
✔️ Educator : Manish Panjwani
✔️ Class : 11
✔️ Subject : Physics
✔️ Chapter : 2 Units and Measurements
✔️ Topic Name : To Find Relationship Between Different Physical Quantity

How to write Units of Physical Quantities?
1.Full names of the units, even when they are named after a scientist should not be written with a capital letter. Eg: newton, watt, ampere, meter

2. The unit should be written either in full or in agreed symbols only

3. Units do not take the plural form. Eg: 10 kg but not 10 kgs, 20 w but not 20 was

4. No full stop or punctuation mark should be used within or at the end of symbols for units. Eg: 10 W but not 10 W.


What are Dimensions?
Dimensions of a physical quantity are the powers to which the fundamental units are raised to obtain one unit of that quantity.

Dimensional Analysis
Dimensional analysis is the practice of checking relations between physical quantities by identifying the dimensions of the physical quantities. These dimensions are independent of the numerical multiples and constants and all the quantities in the world can be expressed as a function of the fundamental dimensions.

Read More: Dimensional Analysis

Dimensional Formula
The expression showing the powers to which the fundamental units are to be raised to obtain one unit of a derived quantity is called the dimensional formula of that quantity.

If Q is the unit of a derived quantity represented by Q = MaLbTc, then MaLbTc is called dimensional formula and the exponents a, b and, c are called the dimensions.

What are Dimensional Constants?
The physical quantities which have dimensions and have a fixed value are called dimensional constants. e.g.: Gravitational constant (G), Planck’s constant (h), Universal gas constant (R), Velocity of light in a vacuum (C), etc.

What are the Dimensionless quantities?
Dimensionless quantities are those which do not have dimensions but have a fixed value.

Dimensionless quantities without units: Pure numbers, π, e, sin θ, cos θ, tan θ etc.
Dimensionless quantities with units: Angular displacement – radian, Joule’s constant – joule/calorie, etc.
What are Dimensional variables?
Dimensional variables are those physical quantities which have dimensions and do not have a fixed value. e.g.: velocity, acceleration, force, work, power, etc.

What are the Dimensionless variables?
Dimensionless variables are those physical quantities which do not have dimensions and do not have a fixed value. For example Specific gravity, refractive index, the coefficient of friction, Poisson’s ratio, etc.


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