A) \[=1\]
B) between 0 and 1
C) \[=0\]
D) \[>1\]
Correct Answer: D
Solution :
Density \[(\rho )=\frac{Mass(M)}{Volume(V)}\] \[\rho \propto \frac{1}{V}\]For the same mass. \[\therefore \] \[\frac{{{\rho }_{lead}}}{{{\rho }_{iron}}}=\frac{{{V}_{iron}}}{{{V}_{lead}}}\] As \[Plead>Piron\](Given) \[\therefore \] \[\frac{{{V}_{iron}}}{{{V}_{lead}}}>1\] ??.(i) Using law of floatation, For iron sphere \[{{W}_{1}}={{V}_{iron}}\,\,{{\rho }_{water}}g\] ?....(ii) For lead sphere \[{{W}_{2}}={{V}_{iron}}\,\,{{\rho }_{water}}g\] ?..(iii) Divide (ii) by (iii), we get \[\frac{{{W}_{1}}}{{{W}_{2}}}=\frac{{{V}_{iron}}}{{{V}_{lead}}}>1\] (Using (i))You need to login to perform this action.
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