Question

Two spheres made of different materials but having the same mass have radii in the ratio 3 : 4. Find the ratio of their densities.

• A. 27 : 64
• B. 64 : 27
• C. 16 : 9
• D. 9 : 16

Answer 1

The correct option is B 64 : 27

$\frac{r_1}{r_2}=\frac{3}{4},So,\frac{V_1}{V_2}={\left(\frac{r_1}{r_2}\right)}^3=\frac{27}{64}$

& if $m_1=m_2=m$ (let)

So $\frac{{\rho }_1}{{\rho }_2}=\frac{m_1/v_1}{m_2/v_2}=\frac{V_2}{V_1}=\frac{64}{27}$