Question

is linear mass density a constant?​

Answer 1

Hi, Here is your answer

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Linear density is the measure of a quantity of any characteristic value per unit of length. However, this is only one example of a linear density, as any quantity can be measured in terms of its value along one dimension.

Hope it is helpful.....

Answer 2

Answer:

Yes! Linear mass density is a constant.

Explanation:

Let us prove this through equations and derivations.

Now, we know that;-

  Linear Mass density (λ) = Mass (m)/ Length (L)

So, let it be;-

                   λ = dm/ dL   [where λ = rate of change in mass per unit length]

               dL λ = dm

Integrating on both sides, we get;-

         $Lambda \, (\int\limits^L_0 {dL}) = dm$

[where, let lambda be constant]

          λ × L = m

                λ = m/ L

[which is possible only if λ = constant]

Hence, our supposition is correct that linear mass density (λ) is a constant.

Hope it helps! ;-))