Q. 14.5( 13 Votes )

Find the dimensions of

A. linear momentum,

B. frequency and

C. pressure

Answer :

A. Linear momentum is the amount of motion contained in a moving body. Mathematically, linear momentum is simply the product of the mass of a body and its velocity.


Linear momentum(p)=mass(m)× velocity(v)


The dimensions of p are the dimensions of m× v


Dimensions of m = [ M]


Dimensions of v


Dimensions of mv=[M]× [LT-1] = [MLT-1]


Hence the dimensions of linear momentum are [MLT-1].


B. Frequency is defined as the reciprocal of time period.



Dimensions of t = [T1]


Dimensions of f = .


C. Pressure is defined as force per unit area acting normally to the area.



Dimensions of F = [MLT-2]


Dimensions of A = [L2]


Dimensions of P = .


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