Question

Two metallic spheres of different materials immersed in water experience equal upthrust. Then both the spheres would have equal

• A. weights in air
• B. densities
• C. volumes
• D. masses

Answer 1

Answer: (C)

volumes

By archimede's principle : Upthrust is equal to the weight of fluid displaced by the object weight of fluid = Volume of fluid $\times$ Density of fluid $\times$ acceleration due to gravity

Volume of fluid = Volume of object immersed

As the two metallic spheres have equal upthrust so,

$V_1\rho g=V_2\rho g$

$\Rightarrow V_1=V_2$

so the two spheres have equal volume