A) \[2.4\,c{{m}^{3}}\]
B) \[4.8\,c{{m}^{3}}\]
C) \[300\,c{{m}^{3}}\]
D) \[500\,c{{m}^{3}}\]
Correct Answer: C
Solution :
Key Idea: When a solid body is immersed in a liquid, then there is some apparent loss in its weight. Two forces act on the cube: (i) weight (mg) of body (downwards) (ii) upthrust (U) of liquid (upwards). For floatation \[U=mg\] Let V be volume of cube inside liquid, then \[V\times d\times g=mg\] \[V\times 1000\times 10=0.7\times 10\] \[\Rightarrow \] \[V=\frac{7}{10.000}{{m}^{3}}=700\,c{{m}^{3}}\] Total volume of cube \[=\,{{(10\,cm)}^{3}}\] \[=100\,c{{m}^{3}}\] Volume outside water \[=1000-700=300\,c{{m}^{3}}\]You need to login to perform this action.
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