Question

what is dimensional formulae and dimensional equation?

Answer 1

Answer:

Dimensional Formula. A dimensional formula is one that shows a relation how and which of the fundamental quantities represent the dimensions of a physical quantity. The dimensional formula gives us an idea that which of the quantities are used to derive a given quantity.

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Answer 2

Answer:

Dimensional Formula

A dimensional formula is one that shows a relation how and which of the fundamental quantities represent the dimensions of a physical quantity. The dimensional formula gives us an idea that which of the quantities are used to derive a given quantity.

For example, the dimensional formula of the volume is {eq}\begin{align} \left [ M^0 L^3T^0 \right ] \end{align} {/eq} so we can say to get volume a length is multiplyed thrice

and the force can be presented as {eq}\begin{align} \left [ M^1 L^1T^{-2} \right ] \end{align} {/eq} which means force can be obtained by using mass, length and time.

Dimensional Equation

The equation obtained by equating a physical quantity with its dimensional formula is called the dimensional equation. For example

{eq}\begin{align} \left [ \text{Volume} \right ] = \left [ M^0 L^3T^0 \right ] \end{align} {/eq}

and

{eq}\begin{align} \left [ \text{Force} \right ] = \left [ M^1 L^1T^{-2} \right ] \end{align} {/eq}

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