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