Q. 14.5( 13 Votes )
Find the dimensions of
A. linear momentum,
B. frequency and
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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