Question

The density of a material is $8$ g/cc. In a unit system in which the unit length is $5$ cm and unit mass is $20$ g, what is the density of the material ?

• A. 0.02
• B. 50
• C. 40
• D. 12.5

Answer 1

Answer: (B)

50

$\rho =\frac{8gm}{c{m}^3}$

${\rho }^1=\frac{20gm}{5^3(cm{)}^3}$

$\frac{\rho }{{\rho }^1}=\frac{8}{\left(\frac{20}{5^3}\right)}=\frac{125\times 8}{20}=50units$