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Physical quantitie, their dimensions, their dimensional formula and the relationship with other physical quantities

Physical quantitie, their dimensions, their dimensional formula and the relationship with other physical quantities

Grade:10

1 Answers

saiyyam jain
26 Points
2 years ago

Dimension

Dimensional Formula

Dimensional formula of function of quantities

[I]=[mvr]=[M1L2T−1]Hence, 
[r]=[M0L1T0]
[v]=[M0L1T−1]
[m]=[M1L0T0]
. Its dimensional formula can be found as:I=mvrAngular momentum of a physical quantity is given by 
Example:

[AxBy]=[Mxam+ybmLxal+yblTxat+ybt] is given by AxByThen dimensional formula of 
[B]=[MbmLblTbt] and [A]=[MamLalTat]Let dimensional formulas of two quantities be given by 
 
.
kg×m/s2 It's because the unit of Force is N(newton) or F=[MLT−2]The dimensional formula is defined as the expression of the physical quantity in terms of its basic unit with proper dimensions. For example, dimensional force is  
 
Dimension, an expression of the character of a derived quantity in relation to fundamental quantities, without regard for its numerical value. In any system of measurement, such as the metric system, certain quantities are considered fundamental, and all others are considered to be derived from them.

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