A) \[21.5\,\,g\,c{{m}^{-3}}\]
B) \[6.3\,\,g\,\,c{{m}^{-3}}\]
C) \[8.4\,\,g\,\,c{{m}^{-3}}\]
D) \[24\,\,g\,\,c{{m}^{-3}}\]
Correct Answer: C
Solution :
Let the density of metal be\[\rho \] Mass of metal\[=180.6\,\,g\] \[\therefore \]Actual volume of metal\[=(180.6/\rho )c{{m}^{3}}\] Volume of cavity\[=2.5\,\,c{{m}^{3}}\] Volume of metal \[=\] volume of water displaced\[(d)=24\,\,c{{m}^{3}}\] Volume of cavity \[=\] volume of liquid displaced \[-\] actual volume of metal \[2.5=24-\frac{180.6}{\rho }\Rightarrow \frac{180.6}{\rho }\] \[\therefore \]Specific gravity of metal\[=8.4\,\,g\,\,c{{m}^{-3}}\]
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