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

Linear mass density,
`\lambda=2* 10^(-4)\ kg/m`

Step-by-step 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=(m)/(l)`

`\lambda=(0.0003\ kg)/(1.5\ m)`

`\lambda=0.0002\ kg/m`

or

`\lambda=2* 10^(-4)\ kg/m`

So, the linear mass density of a string is
`2* 10^(-4)\ kg/m`. Hence, this is the required solution.