User:Bomanhoo19/Physics

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= Physics =

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= JEE =

Units & Dimensions
SI Based Units



Dimension:
The SI standard selects the following dimensions and corresponding symbols: time (T), length (L), mass (M), electric current (I), absolute temperature (Θ), amount of substance (N) and luminous intensity (J).

Mathematically, the dimension of the quantity Q is given by"$\operatorname{dim}Q = \mathsf{T}^a\mathsf{L}^b\mathsf{M}^c\mathsf{I}^d\mathsf{\Theta}^e\mathsf{N}^f\mathsf{J}^g$"where a, b, c, d, e, f, g are the dimensional exponents. Other physical quantities could be defined as the base quantities, as long as they form a linearly independent basis – for instance, one could replace the dimension (I) of electric current of the SI basis with a dimension (Q) of electric charge, since Q = TI.

As examples, the dimension of the physical quantity speed v is


 * $$\operatorname{dim}v = \frac{\text{length}}{\text{time}} = \frac{\mathsf{L}}{\mathsf{T}} = \mathsf{T}^{-1}\mathsf{L}$$

and the dimension of the physical quantity force F is


 * $$\operatorname{dim}F = \text{mass} \times \text{acceleration} = \text{mass} \times \frac{\text{length}}{\text{time}^2} = \frac{\mathsf{L}\mathsf{M}}{\mathsf{T}^2} = \mathsf{T}^{-2}\mathsf{L}\mathsf{M}$$

Hydrostatics & Hydrodynamics
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