Question

An ice block having two similar metallic pieces is floating in water in a vessel as shown in figure. After sometime the ice melts completely then

• A. The water level rises in the vessel
• B. The water level falls in the vessel
• C. The water level does not change in vessel
• D. The water level may rise or fall depending upon the ratio of masses of ice and metallic pieces.

Answer 1

Answer: (B)

Initially $f_B=mg{m}_p=$ mass of metal
$V_{D_i}\rho wg{\left(2n_p+m_i\right)}_g{m}_i=$ mass of ice $V_{D_i}=\frac{2m_p}{{\rho }_w}+\frac{m_i}{{\rho }_w}{\rho }_w=$ density of water
${\rho }_p=$ density of metal piece
When ice metals completely, the metal pieces will sink down to the bottom.
Final displace volume $-V_D=\frac{2m_p}{{\rho }_p}+\frac{m_i}{{\rho }_w}$
$\because V_D<V_{D_i}\Rightarrow$ level falls