# A block of steel of size 5 cm Ã— 5 cm Ã— 5 cm is weighed in water. If the relative density of steel is 7, its apparent weight is A) 6 Ã— 5 Ã— 5 Ã— 5 gf B) 4 Ã— 4 Ã— 4 Ã— 7 gf C) 5 Ã— 5 Ã— 5 Ã— 7 gf D) 4 Ã— 4 Ã— 4 Ã— 6 gf

Density of water =1 g/cc (Pwâ€‹)

Density of steel =7 g/cc (Psâ€‹)

\begin{aligned} \mathrm{W}_{\mathrm{aop}} &=\mathrm{mg}-\mathrm{F}_{\mathrm{B}} \\ \mathrm{W}_{\mathrm{app}} &=\rho_s \mathrm{Vg}-\rho_{\mathrm{w}} \mathrm{Vg} \\ &=\left(\rho_s-\rho_{\mathrm{w}}\right) \mathrm{Vg} \\ &=\left(7 -1\right) \mathrm{Vg}=6 \mathrm{Vg}=6 \times 5 \times 5 \times 5g f \end{aligned}

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