A solid object of volume is fully submerged in water ( ) on Earth

PHYSICS · Single correct · CBSE · Physics · Gravitation · Gravitation

Problem

A solid object of volume

0.012\,\text{m}^{3}

is fully submerged in water (

\rho_{\text{w}} = 1.0 \times 10^{3}\,\text{kg}\,\text{m}^{-3}

) on Earth, where

g_{\text{E}} = 9.8\,\text{m}\,\text{s}^{-2}

. The same object is then submerged in a liquid of density

1.25 \times 10^{3}\,\text{kg}\,\text{m}^{-3}

on Planet X, where

g_{\text{X}} = 3.7\,\text{m}\,\text{s}^{-2}

. What is the ratio

F_{b,\,\text{X}} / F_{b,\,\text{E}}

of the buoyant force on Planet X to that on Earth? (a)

0.38

(b)

3.3

(c)

0.47

(d)

1.3