Question

String linear mass density is defined as mass/unit length. Calculate the linear mass density in kg/m of a string with mass 0.3g and 1.5m length?

Answer 1

Answer:

Linear mass density,$\lambda=2\times 10^{-4}\ kg/m$

Explanation:

Given that,

Mass of the string, m = 0.3 g = 0.0003 kg

Length of the string, l = 1.5 m

The linear mass density of a string is defined as the mass of the string per unit length. Mathematically, it is given by :

$\lambda=\dfrac{m}{l}$

$\lambda=\dfrac{0.0003\ kg}{1.5\ m}$

$\lambda=0.0002\ kg/m$

or

$\lambda=2\times 10^{-4}\ kg/m$

So, the linear mass density of a string is $2\times 10^{-4}\ kg/m$. Hence, this is the required solution.