A) \[\frac{9}{4}gm/c{{m}^{3}}\]
B) \[4.9\text{ }gm/c{{m}^{3}}\]
C) \[\frac{8}{3}gm/c{{m}^{3}}\]
D) \[\frac{3}{8}~gm/c{{m}^{3}}\]
Correct Answer: C
Solution :
For water \[\frac{volume\text{ }inside\text{ }water}{total\text{ }volume~~~}=\frac{density\text{ }of\text{ }body}{density\text{ }of\text{ }water}\] \[\frac{1-\frac{1}{3}}{1}=\frac{density\text{ }of\text{ }body}{1}\] density of body \[=\frac{2}{3}\] For liquid \[\frac{Volume\text{ }inside\text{ }liquid~}{Total\text{ }volume}=\frac{density\text{ }of\text{ }body}{density\text{ }of\text{ }liquid}\] \[\frac{1-\frac{3}{4}}{1}=\frac{2/3}{d}\] \[\frac{1}{4}=\frac{2}{3d}\] \[\Rightarrow \] \[d=\frac{8}{3}gm/c{{m}^{3}}\]
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