Physics

Find the  dimensions of 
(a) linear momentum,
(b) frequency and
 (c) pressure.


SOLUTION

(a) Linear momentum:

  $$ =\,mass\,\times \,velocity=[{{M}^{1}}{{L}^{0}}{{T}^{0}}][{{M}^{0}}L{{T}^{-1}}] $$

 $$ =\,[ML{{T}^{-1}}]$$

 (b) Frequency $$=\dfrac{1}{time}=[{{M}^{0}}{{L}^{0}}{{T}^{-1}}]$$

(c) Pressure

  $$ =\dfrac{Force}{Area}=\dfrac{mass\times acceleration}{Area}=\dfrac{[{{M}^{1}}{{L}^{0}}{{T}^{0}}][{{M}^{0}}L{{T}^{-2}}]}{[{{M}^{0}}{{L}^{2}}{{T}^{0}}]} $$

 $$ =[{{M}^{1}}{{L}^{-1}}{{T}^{-2}}] $$ 

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