Answer:
d. 2.14 x 10⁻⁴ kg/m³
Step-by-step explanation:
Density is defined as the mass of an object per unit volume occupied by that object. The formula of density is, therefore, given as follows:
![\rho = (m)/(V)](https://img.qammunity.org/2022/formulas/physics/high-school/eamsxtb1a5kbak8p1mjqi0ifbqd8pkliah.png)
where,
ρ = density of platinum band = ?
m = mass of platinum band = 3 x 10³ kg
V = Volume displaced by Platinum band = 1.4 x 10⁷ m³
Therefore,
![\rho = (3\ x\ 10^(3)\ kg)/(1.4\ x\ 10^(7)\ m^(3))\\\\\rho = 2.14\ x\ 10^(-4)\ kg/m^(3)](https://img.qammunity.org/2022/formulas/physics/high-school/uw8eov6irv3db6ynmdkcvze610td5yqyb8.png)
Hence, the correct option is:
d. 2.14 x 10⁻⁴ kg/m³