Question

the quantities A and B are related by the relation A/B=m, where m is the linear mass density and A is the force , the dimensions of B will be​

Answer 1

Answer:

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Answer 2

Answer:

The dimensions of B is L²T⁻².

Explanation:

Given that,

Linear mass density = m

Force = A

We need to calculate the dimension of B

The relation is

$\dfrac{A}{B}=m$

$B=\dfrac{A}{m}$

We know the unit of A and m

Unit of A is

$A = kg m/s^2$

Unit of m is

$m =kg/m$

Using dimension formula of A and m

$B=\dfrac{MLT^{-2}}{ML^{-1}}$

$B=\dfrac{L^2}{T^2}=L^2T^{-2}$

Hence, The dimensions of B is L²T⁻².